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)

sample9.7s (45%)

Results

5.8s	3921×	body	1024	valid
2.4s	2125×	body	2048	valid
1.3s	1386×	body	512	valid
235.0ms	820×	body	256	valid
5.0ms	4×	body	4096	valid

Bogosity

preprocess210.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2186×	`rational.json-simplify-35`
2014×	`rational.json-simplify-45`
1898×	`rational.json-simplify-2`
1606×	`rational.json-simplify-1`
806×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	20	42
2	37	42
3	63	42
4	123	42
5	238	42
6	585	42
7	1521	42
8	3000	42
9	3990	42
10	4707	42
11	5812	42
12	6337	42
13	6681	42
14	6681	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify551.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4274×	`rational.json-simplify-35`
1482×	`rational.json-simplify-1`
1144×	`rational.json-simplify-2`
764×	`rational.json-simplify-42`
696×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	26	21
3	44	21
4	88	21
5	174	21
6	423	21
7	1079	21
8	2178	21
9	2820	21
10	3409	21
11	4731	21
12	5537	21
13	5875	21
14	6101	21
15	6318	21
16	6318	21
17	6638	21
18	6672	21
19	6672	21
20	6889	21
21	7106	21
22	7323	21
23	7540	21
24	7757	21
25	7974	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

37.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite370.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-1`
1184×	`exponential.json-3`
1184×	`rational.json-2`
1184×	`rational.json-4`
1184×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	61	32
2	147	32
3	335	32
4	707	32
5	1703	32
6	3571	32
7	5864	32
8	7880	32

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-35`
1288×	`rational.json-simplify-2`
1110×	`rational.json-simplify-1`
868×	`rational.json-simplify-26`
852×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2385
1	374	2327
2	906	2327
3	2283	2259
4	4040	2259
5	5372	2259
6	6594	2259
7	7432	2259

Stop Event

1×	node limit

Counts

105 → 138

Calls

Call 1

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

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

eval37.0ms (0.2%)

Compiler: Compiled 2145 to 1031 computations (51.9% saved)

prune50.0ms (0.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	119	19	138
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	20	139

Error

11.9b

Counts

139 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	38.6b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
	56.2b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
✓	37.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.6b	(-.f64 (cos.f64 x) (cos.f64 x))
	37.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	36.7b	(-.f64 (cos.f64 eps) 1)
	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
▶	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
▶	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	33.6b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
▶	33.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	33.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
	33.4b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	34.7b	(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
▶	37.9b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	38.4b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
	38.5b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))))
	37.5b	(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
	37.5b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	38.8b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 675 to 496 computations (26.5% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 25 computations (46.8% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite117.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`rational.json-1`
1352×	`rational.json-simplify-35`
1092×	`exponential.json-3`
1092×	`rational.json-2`
1092×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	108	81
2	245	81
3	518	81
4	1086	81
5	2707	81
6	5284	81
7	7694	81

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

Outputs

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

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

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

simplify323.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2320×	`rational.json-simplify-2`
1670×	`rational.json-simplify-35`
1114×	`rational.json-simplify-1`
1092×	`rational.json-simplify-51`
792×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	3511
1	394	3467
2	868	3413
3	1984	3395
4	4019	3395
5	5034	3395
6	5539	3395
7	6106	3395
8	7168	3395
9	7507	3395

Stop Event

1×	node limit

Counts

121 → 99

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (sin.f64 x) (.f64 eps -1/2)) (.f64 (sin.f64 x) (.f64 eps -1/2)))
(-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(-.f64 0 (*.f64 (sin.f64 x) eps))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(/.f64 (.f64 (sin.f64 x) (.f64 eps -2)) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 eps -4)) 4)
(/.f64 (*.f64 (sin.f64 x) eps) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 eps -4))) 8)
(/.f64 (*.f64 (sin.f64 x) (+.f64 eps eps)) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps -4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (*.f64 eps -4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps -4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps -4)))))) 64)
(pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(neg.f64 (*.f64 (sin.f64 x) eps))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(+.f64 0 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/4)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/4)))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 1)
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) 2)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2)))))) 64)
(pow.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 1)
(neg.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))
(.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))))
(.f64 (.f64 2 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(.f64 (/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(pow.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)

Outputs
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 eps (.f64 (pow.f64 x 3) 1/6)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 eps (*.f64 1/6 (pow.f64 x 3))))
(.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 eps (.f64 (pow.f64 x 5) -1/120)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 eps (.f64 (pow.f64 x 3) 1/6))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (+.f64 (.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(.f64 eps (+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 eps (.f64 (pow.f64 x 5) -1/120)) (+.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (.f64 eps (.f64 (pow.f64 x 7) 1/5040)))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 eps (.f64 -1/120 (pow.f64 x 5))) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (*.f64 1/5040 (pow.f64 x 7))))))
(+.f64 (.f64 eps (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))) (.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (+.f64 (neg.f64 x) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2)))
(.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 4) -1/48))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 4) (.f64 -1/48 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))))
(.f64 (pow.f64 eps 2) (+.f64 -1/2 (+.f64 (.f64 -1/48 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 4) -1/48)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 6) 1/1440)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 -1/48 (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))) (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2))))) (.f64 (pow.f64 x 6) (*.f64 (pow.f64 eps 2) 1/1440)))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (+.f64 -1/2 (+.f64 (.f64 -1/48 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 eps 2) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(pow.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite154.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`rational.json-simplify-35`
1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-3`
1114×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	140	11
3	265	11
4	527	11
5	1164	11
6	2741	11
7	4737	11
8	5772	11
9	7562	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify286.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1634×	`rational.json-simplify-2`
1474×	`rational.json-simplify-51`
1450×	`rational.json-simplify-35`
1126×	`rational.json-simplify-1`
888×	`rational.json-simplify-38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	446
1	155	446
2	361	446
3	1044	446
4	1805	446
5	2124	446
6	2237	446
7	2356	446
8	2509	446
9	2703	446
10	3675	446
11	4075	446
12	4560	446
13	4807	446
14	5014	446
15	5215	446
16	5844	446
17	6189	446
18	6771	446

Stop Event

1×	node limit

Counts

30 → 35

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (cos.f64 eps))
(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 2))
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (pow.f64 eps 8))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 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) 1/2) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

15 calls:

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

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational.json-1`
1472×	`rational.json-2`
1472×	`rational.json-3`
1468×	`exponential.json-3`
1468×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	77	43
2	173	43
3	372	43
4	765	43
5	1852	43
6	4308	43
7	6547	43

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify312.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2768×	`rational.json-simplify-2`
1666×	`rational.json-simplify-35`
1190×	`rational.json-simplify-51`
920×	`rational.json-simplify-49`
900×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2473
1	397	2201
2	993	2051
3	2659	2027
4	4761	2027
5	6078	2027
6	7178	2027
7	7630	2027
8	7736	2027
9	7920	2027

Stop Event

1×	node limit

Counts

117 → 134

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))
✓	1.3b	(-.f64 1 (cos.f64 x))
	3.6b	(cos.f64 (+.f64 x eps))
✓	3.6b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite154.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`exponential.json-3`
1410×	`rational.json-1`
1410×	`rational.json-2`
1410×	`rational.json-4`
1410×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	98	71
2	215	65
3	460	63
4	990	63
5	2514	63
6	4547	63
7	6202	63

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

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

simplify302.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2236×	`rational.json-simplify-1`
1550×	`rational.json-simplify-35`
1464×	`rational.json-simplify-2`
1200×	`rational.json-simplify-51`
982×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3208
1	492	3150
2	1162	3150
3	2418	3074
4	4394	3074
5	4891	3074
6	5797	3074
7	6257	3074
8	6619	3074
9	7010	3074

Stop Event

1×	node limit

Counts

128 → 168

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 eps))
✓	1.8b	(+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))
✓	1.8b	(+.f64 (cos.f64 eps) -1)
✓	7.0b	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))

Compiler

Compiled 88 to 51 computations (42% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite235.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational.json-simplify-35`
1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-3`
1550×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	102	57
2	195	57
3	368	57
4	729	57
5	1683	57
6	3320	57
7	4867	57
8	7143	57

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

simplify450.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1990×	`rational.json-simplify-35`
1936×	`rational.json-simplify-2`
1606×	`rational.json-simplify-53`
1016×	`rational.json-simplify-1`
982×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2364
1	345	2364
2	724	2364
3	2298	2328
4	4848	2328
5	5596	2328
6	5841	2328
7	6069	2328
8	6369	2328
9	6836	2328

Stop Event

1×	node limit

Counts

102 → 94

Calls

Call 1

Inputs
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(+.f64 0 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (.f64 (pow.f64 x 2) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 1)
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)
(/.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)) 4)
(/.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8)))))) 128)
(pow.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(.f64 2 (.f64 1/2 (+.f64 (cos.f64 eps) -1)))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -1)) 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 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)
(.f64 2 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(*.f64 1/2 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 1)
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(*.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 1/2)
(.f64 4 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))
(.f64 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 2)
(.f64 1/4 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))
(.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4) 4)
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)
(/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4) 4)
(/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))))) 128)
(pow.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)

Outputs
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 1/4 (pow.f64 (.f64 eps x) 2))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))))
(.f64 (pow.f64 x 2) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))) (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 2) 1/1440))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))) (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 2) 1/1440)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4)))) (.f64 -1/80640 (.f64 (pow.f64 x 2) (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))) (+.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6)))) (.f64 (pow.f64 x 2) (.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/80640 (pow.f64 eps 8))) (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6))))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/1440 (pow.f64 eps 6)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (.f64 -1/80640 (pow.f64 eps 8)))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(*.f64 -1/2 (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 (pow.f64 eps 4) 1/24))
(+.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 (pow.f64 eps 6) -1/720) (*.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 (pow.f64 eps 4) 1/24) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (*.f64 (pow.f64 eps 6) -1/720)))
(+.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 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320)) (.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 (pow.f64 eps 4) 1/24) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (pow.f64 eps 8) 1/40320)) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (+.f64 (.f64 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 1/1440 (pow.f64 eps 6)) (.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4))) (+.f64 (.f64 1/1440 (pow.f64 eps 6)) (.f64 -1/80640 (pow.f64 eps 8))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 0 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (.f64 (pow.f64 x 2) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 1)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)) 4)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)) 8)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))) 16)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)))) 32)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))))) 64)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8)))))) 128)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(pow.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 1)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(.f64 2 (.f64 1/2 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) -2))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) -2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -1)) 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 (*.f64 (cos.f64 eps) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 2 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(*.f64 1/2 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(*.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 4 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4) 1/4)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 1/4 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4) 4)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4) 4)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8) 8)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)) 16)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))) 32)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 8)))) 64)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 8))))) 128)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(pow.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))

eval209.0ms (1%)

Compiler: Compiled 12411 to 7711 computations (37.9% saved)

prune158.0ms (0.7%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	603	19	622
Fresh	5	9	14
Picked	0	1	1
Done	0	5	5
Total	608	34	642

Error

11.9b

Counts

642 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	38.6b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
✓	37.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	37.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	36.7b	(-.f64 (cos.f64 eps) 1)
	56.2b	(+.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) -1)
	38.5b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) -1)
	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
✓	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
✓	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))) -1)
	38.9b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
	37.2b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
	34.7b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
	56.2b	(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))) -1)
	51.1b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
▶	33.4b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))
	33.6b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
✓	33.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	33.6b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	33.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
	36.8b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
▶	48.5b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
▶	52.2b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	37.9b	(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (+.f64 (*.f64 x (sin.f64 eps)) -1) -1)))
▶	37.8b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1))))))
✓	37.9b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	38.4b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
	37.5b	(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
▶	56.6b	(+.f64 1 -1)
	37.5b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	38.8b	(*.f64 (sin.f64 x) (neg.f64 eps))
	53.5b	(*.f64 (sin.f64 eps) (neg.f64 x))
	53.8b	(*.f64 eps (neg.f64 x))
	51.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 975 to 747 computations (23.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
✓	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	2.9b	(.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))
✓	6.7b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))

Compiler

Compiled 76 to 47 computations (38.2% saved)

series8.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`rational.json-simplify-35`
1204×	`exponential.json-3`
1204×	`rational.json-1`
1204×	`rational.json-2`
1204×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	140	130
2	290	130
3	590	130
4	1229	130
5	3058	130
6	5908	130

Stop Event

1×	node limit

Counts

4 → 59

Calls

Call 1

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

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

simplify281.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1816×	`rational.json-simplify-35`
1612×	`rational.json-simplify-48`
1340×	`rational.json-simplify-51`
1236×	`rational.json-simplify-2`
1212×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	5305
1	454	5113
2	1024	5035
3	2375	4537
4	4998	4537
5	5584	4537
6	6457	4537
7	7470	4537

Stop Event

1×	node limit

Counts

131 → 126

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 1/120 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (.f64 -1/5040 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 7))) (.f64 1/120 (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 5))))))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 1/2))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 4))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 4))))) 64)
(pow.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) 1)
(+.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) 0)
(+.f64 0 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) 1/2)) (.f64 (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) 1/2)))
(-.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) 0)
(/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) 1)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))) 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))) 4)))))) 64)
(pow.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) 1)
(+.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 eps 3)))
(+.f64 (.f64 (pow.f64 eps 3) 1/12) (.f64 (pow.f64 eps 3) 1/12))
(-.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(/.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(/.f64 (*.f64 (pow.f64 eps 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 eps 3) 2/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3))))) 64)
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/4)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/4)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(-.f64 0 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))))) 64)
(pow.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(neg.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))

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

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite166.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`rational.json-simplify-35`
1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-3`
1430×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	81	29
2	166	29
3	337	29
4	672	29
5	1615	29
6	3228	29
7	4815	29
8	6397	29
9	7404	29
10	7719	29

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify588.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2412×	`rational.json-simplify-35`
2176×	`rational.json-simplify-1`
2126×	`rational.json-simplify-48`
1400×	`rational.json-simplify-2`
1230×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1395
1	162	1395
2	321	1395
3	999	1395
4	1710	1395
5	3297	1395
6	3759	1395
7	3857	1395
8	3949	1395
9	4026	1395
10	4615	1395
11	5394	1395
12	5610	1395
13	5878	1395
14	6331	1395
15	6729	1395
16	6872	1395
17	6973	1395
18	7073	1395
19	7073	1395
20	7351	1395
21	7458	1395
22	7645	1395

Stop Event

1×	node limit

Counts

51 → 33

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(-.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 0)
(-.f64 0 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))
(.f64 -1/2 (+.f64 (pow.f64 eps 2) (.f64 eps (+.f64 x x))))
(.f64 2 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)))
(.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(.f64 1 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 -1 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))
(.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 -2 (*.f64 eps x))))
(.f64 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4))
(.f64 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(.f64 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(/.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)) 16)
(/.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))))) 128)
(pow.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(neg.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))

Outputs
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 0)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 0 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (+.f64 (pow.f64 eps 2) (.f64 eps (+.f64 x x))))
(.f64 2 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)))
(.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 1 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))) 1/2)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 4 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4) 1/4)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 -2 (*.f64 eps x))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)) 2)
(.f64 2 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)))
(.f64 1/4 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))) 2)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8) 8)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)) 16)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)) -1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))) 32)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)))) 64)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))))) 128)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(pow.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(neg.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/24 (pow.f64 eps 4))
✓	15.0b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series1.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite155.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`rational.json-simplify-35`
1360×	`exponential.json-3`
1360×	`rational.json-1`
1360×	`rational.json-2`
1360×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	77	44
2	142	44
3	263	44
4	483	44
5	1091	44
6	2905	44
7	4932	44
8	5706	44
9	7028	44
10	7945	44

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 4) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 4) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 4) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 4) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 eps 4) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 4) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 4) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 4) 1/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 4) 1/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)))))

simplify200.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4024×	`rational.json-simplify-41`
2596×	`rational.json-simplify-43`
2092×	`rational.json-simplify-35`
1122×	`rational.json-simplify-2`
578×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	946
1	197	946
2	371	946
3	829	946
4	2096	946
5	2937	946
6	3265	946
7	3444	946
8	3581	946
9	3697	946
10	3807	946
11	3914	946
12	4020	946
13	4126	946
14	4126	946

Stop Event

1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 1/24 (pow.f64 eps 4))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) 0)
(.f64 4 (.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/8))
(.f64 2 (+.f64 (.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12)) 1/2)
(.f64 (.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 1/4)
(.f64 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 1/8)
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12)))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)) 2)
(.f64 1/4 (.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))
(.f64 (.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/8) 4)
(.f64 1/8 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(/.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 2)
(/.f64 (.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))) 4)
(/.f64 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))) 8)
(/.f64 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))))) 256)
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 (pow.f64 eps 4) 1/48) (.f64 (pow.f64 eps 4) 1/48))
(-.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(/.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(/.f64 (*.f64 (pow.f64 eps 4) 1/12) 2)
(/.f64 (*.f64 (pow.f64 eps 4) 1/6) 4)
(/.f64 (*.f64 (pow.f64 eps 4) 1/3) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 4) 1/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 4) 1/3))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 4) 1/3)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 4) 1/3))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 4) 1/3)))))) 256)
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 1/24 (pow.f64 eps 4))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) 0)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 4 (.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/8))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 2 (+.f64 (.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 1 (+.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 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12)) 1/2)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 (.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 1/4)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))) 1/8)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 4) 1/48)))
(.f64 1/4 (.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 (.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 1/8) 4)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(.f64 1/8 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)) 2)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))) 4)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))) 8)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))) 16)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))))) 32)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))) 64)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/12))))))) 128)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/12)))))))) 256)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 0 (*.f64 1/24 (pow.f64 eps 4)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 (pow.f64 eps 4) 1/48) (.f64 (pow.f64 eps 4) 1/48))
(*.f64 1/24 (pow.f64 eps 4))
(-.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 (pow.f64 eps 4) 1/12) 2)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 (pow.f64 eps 4) 1/6) 4)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 (pow.f64 eps 4) 1/3) 8)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (.f64 2 (.f64 (pow.f64 eps 4) 1/3)) 16)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 4) 1/3))) 32)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 4) 1/3)))) 64)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 4) 1/3))))) 128)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 4) 1/3)))))) 256)
(*.f64 1/24 (pow.f64 eps 4))
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(*.f64 1/24 (pow.f64 eps 4))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1))))
✓	0.4b	(+.f64 (neg.f64 (sin.f64 eps)) -1)
✓	1.1b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1))))))
✓	2.0b	(+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1)))

Compiler

Compiled 75 to 46 computations (38.7% saved)

series30.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	eps	@	inf	(+.f64 (neg.f64 (sin.f64 eps)) -1)
0.0ms	x	@	inf	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1))))))
0.0ms	eps	@	0	(+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1)))
0.0ms	eps	@	0	(+.f64 (neg.f64 (sin.f64 eps)) -1)
0.0ms	eps	@	0	(*.f64 x (+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1))))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-35`
1192×	`exponential.json-3`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	127	108
2	265	90
3	572	90
4	1227	54
5	3092	54
6	5964	54

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

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

simplify234.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational.json-simplify-35`
1360×	`rational.json-simplify-51`
878×	`rational.json-simplify-41`
868×	`rational.json-simplify-45`
846×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	2869
1	500	2701
2	1318	2683
3	2715	2543
4	5301	2543
5	7180	2543
6	7883	2543

Stop Event

1×	node limit

Counts

169 → 162

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

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

eval198.0ms (0.9%)

Compiler: Compiled 6763 to 4607 computations (31.9% saved)

prune144.0ms (0.7%)

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	356	5	361
Fresh	1	22	23
Picked	1	0	1
Done	1	9	10
Total	359	36	395

Error

11.9b

Counts

395 → 36

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	37.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	36.7b	(-.f64 (cos.f64 eps) 1)
	56.2b	(+.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) -1)
	38.5b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) -1)
	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
✓	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
✓	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))) -1)
	38.9b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
	37.2b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
	34.7b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
	56.2b	(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))) -1)
	51.1b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
▶	33.4b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
	33.6b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
✓	33.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	33.6b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	33.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
▶	36.8b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
✓	48.5b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
✓	52.2b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	37.9b	(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (+.f64 (*.f64 x (sin.f64 eps)) -1) -1)))
	37.8b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (-.f64 (+.f64 (sin.f64 eps) -1) -1))))
▶	38.4b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))))
✓	37.9b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	38.4b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
	37.5b	(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
✓	56.6b	(+.f64 1 -1)
	37.5b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	57.3b	(.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))
	38.8b	(*.f64 (sin.f64 x) (neg.f64 eps))
	53.5b	(*.f64 (sin.f64 eps) (neg.f64 x))
▶	53.8b	(*.f64 eps (neg.f64 x))
	57.6b	(*.f64 1/24 (pow.f64 eps 4))
	51.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 953 to 732 computations (23.2% saved)

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	2.9b	(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
✓	6.7b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-1`
1404×	`rational.json-simplify-35`
1094×	`exponential.json-3`
1094×	`rational.json-2`
1094×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	129	86
2	264	86
3	547	86
4	1105	86
5	2707	86
6	5296	86
7	7659	86

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify314.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2212×	`rational.json-simplify-2`
1836×	`rational.json-simplify-35`
1578×	`rational.json-simplify-1`
814×	`rational.json-simplify-42`
686×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	3703
1	275	3565
2	588	3511
3	1324	3337
4	2580	3337
5	3332	3337
6	3836	3337
7	4282	3337
8	5471	3337
9	5895	3337
10	6199	3337
11	6466	3337
12	7044	3337
13	7563	3337

Stop Event

1×	node limit

Counts

75 → 85

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	136	15
3	310	15
4	643	15
5	1514	15
6	3417	15
7	6167	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify210.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-35`
2002×	`rational.json-simplify-1`
1938×	`rational.json-simplify-51`
930×	`rational.json-simplify-48`
844×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	983
1	256	983
2	536	983
3	1360	983
4	2931	847
5	3900	847
6	4960	847
7	5358	847
8	5641	847
9	5880	847
10	7316	847
11	7736	847

Stop Event

1×	node limit

Counts

43 → 71

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
✓	1.9b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`rational.json-simplify-35`
1278×	`exponential.json-3`
1278×	`rational.json-1`
1278×	`rational.json-2`
1278×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	71	50
2	151	28
3	313	28
4	623	28
5	1461	28
6	2916	28
7	4325	28
8	5414	28
9	6888	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify345.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2016×	`rational.json-simplify-35`
1386×	`rational.json-simplify-1`
1264×	`rational.json-simplify-2`
1242×	`rational.json-simplify-38`
734×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1170
1	258	1170
2	511	1170
3	1486	1170
4	2932	1170
5	3690	1170
6	3853	1170
7	3996	1170
8	4175	1170
9	4427	1170
10	4643	1170
11	4973	1170
12	5490	1170
13	5784	1170
14	6051	1170
15	6237	1170
16	6600	1170
17	6830	1170
18	7302	1170

Stop Event

1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
-1/2
(-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/48 (pow.f64 eps 4))) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))) 1/2)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(-.f64 (cos.f64 eps) 1)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(.f64 2 (.f64 1/2 (+.f64 -1 (cos.f64 eps))))
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))
(.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 -1 (cos.f64 eps)) 4))
(.f64 1/4 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))
(.f64 (.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(.f64 1 (.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(*.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 (+.f64 (cos.f64 eps) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))
(.f64 (.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)
(.f64 1/4 (.f64 2 (+.f64 (cos.f64 eps) -2)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)
(/.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(/.f64 (+.f64 (cos.f64 eps) -2) 2)
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)
(pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (+.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 -1/720 (pow.f64 eps 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
-1/2
(-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/2)
(-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/48 (pow.f64 eps 4))) 1/2)
(+.f64 (.f64 (pow.f64 eps 4) 1/48) (-.f64 (.f64 (pow.f64 eps 2) -1/4) 1/2))
(+.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/4) 1/2) (.f64 (pow.f64 eps 4) 1/48))
(+.f64 (.f64 (pow.f64 eps 2) -1/4) (-.f64 (.f64 (pow.f64 eps 4) 1/48) 1/2))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))) 1/2)
(+.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/48) (.f64 (pow.f64 eps 6) -1/1440)) (-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2))
(+.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/4) 1/2) (+.f64 (.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 6) -1/1440)))
(+.f64 (.f64 (pow.f64 eps 2) -1/4) (+.f64 (.f64 (pow.f64 eps 4) 1/48) (-.f64 (*.f64 (pow.f64 eps 6) -1/1440) 1/2)))
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(.f64 2 (.f64 1/2 (+.f64 -1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 -1 (cos.f64 eps)) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 1 (.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (+.f64 (cos.f64 eps) -2) 1/2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 (.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 1/4 (.f64 2 (+.f64 (cos.f64 eps) -2)))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (+.f64 (cos.f64 eps) -2) 2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) eps)
✓	0.3b	(*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))
✓	3.1b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))))
✓	31.2b	(sin.f64 (-.f64 (PI.f64) eps))

Compiler

Compiled 40 to 13 computations (67.5% saved)

series7.0ms (0%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))
0.0ms	x	@	0	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))))
0.0ms	eps	@	0	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))))
0.0ms	eps	@	0	(sin.f64 (-.f64 (PI.f64) eps))
0.0ms	x	@	0	(*.f64 x (sin.f64 (-.f64 (PI.f64) eps)))

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`rational.json-1`
1326×	`rational.json-simplify-35`
1130×	`exponential.json-3`
1130×	`rational.json-2`
1130×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	94	52
2	197	52
3	435	52
4	851	52
5	2305	52
6	5251	52
7	7916	52

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

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

simplify231.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1862×	`rational.json-simplify-35`
1162×	`rational.json-simplify-53`
946×	`rational.json-simplify-2`
786×	`rational.json-simplify-1`
626×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	333	3963
1	755	3685
2	1719	2945
3	3327	2809
4	5156	2791
5	6120	2791
6	6781	2791
7	7284	2791
8	7637	2791

Stop Event

1×	node limit

Counts

203 → 208

Calls

Call 1

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

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

eval297.0ms (1.4%)

Compiler: Compiled 8186 to 5358 computations (34.5% saved)

prune145.0ms (0.7%)

Pruning

30 alts after pruning (17 fresh and 13 done)

	Pruned	Kept	Total
New	474	4	478
Fresh	9	13	22
Picked	1	0	1
Done	0	13	13
Total	484	30	514

Error

11.5b

Counts

514 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	37.9b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (+.f64 (*.f64 (sin.f64 eps) x) -1))) 1)
✓	37.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	37.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	36.7b	(-.f64 (cos.f64 eps) 1)
	56.0b	(-.f64 1 (cos.f64 x))
	56.2b	(+.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) -1)
	38.5b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) -1)
	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
✓	35.2b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
✓	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	37.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))) -1)
	34.7b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
	56.2b	(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))) -1)
	51.1b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓	33.4b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
	33.6b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
✓	33.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	33.6b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	33.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
✓	36.8b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
	52.4b	(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
✓	48.5b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
✓	52.2b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
✓	37.9b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	38.4b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
✓	56.6b	(+.f64 1 -1)
	37.2b	(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
	38.8b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	53.8b	(*.f64 eps (neg.f64 x))
	51.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 453 to 348 computations (23.2% saved)

regimes360.0ms (1.7%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

151.0ms	x
109.0ms	eps
86.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.6b	3	`x`
12.9b	3	`eps`
14.2b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 638 to 367 computations (42.5% saved)

bsearch259.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
147.0ms	0.0004045632155828302	2.0863079044924766
111.0ms	-3213.461940775962	-0.0008077213492979612

Results

147.0ms	83×	body	1024	valid
99.0ms	162×	body	256	valid
6.0ms	24×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 635 to 503 computations (20.8% saved)

regimes369.0ms (1.7%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

3 calls:

278.0ms	x
54.0ms	eps
26.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.7b	3	`x`
13.1b	3	`eps`
14.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 495 to 279 computations (43.6% saved)

bsearch106.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	2.027205059446197e-6	0.0004045632155828302
37.0ms	-3213.461940775962	-0.0008077213492979612

Results

45.0ms	24×	body	512	valid
27.0ms	67×	body	1024	valid
22.0ms	154×	body	256	valid
7.0ms	11×	body	2048	valid

Compiler

Compiled 487 to 378 computations (22.4% saved)

regimes200.0ms (0.9%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
53.0ms	eps
48.0ms	x

Results

Error	Segments	Branch
19.9b	3	`x`
13.2b	3	`eps`
14.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 350 to 195 computations (44.3% saved)

bsearch378.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
190.0ms	2.027205059446197e-6	0.0004045632155828302
188.0ms	-3213.461940775962	-0.0008077213492979612

Results

186.0ms	159×	body	256	valid
175.0ms	57×	body	1024	valid
9.0ms	34×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 407 to 314 computations (22.9% saved)

regimes222.0ms (1%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

3 calls:

144.0ms	eps
50.0ms	x
21.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.0b	3	`x`
13.5b	3	`eps`
14.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 319 to 178 computations (44.2% saved)

bsearch114.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.027205059446197e-6	0.0004045632155828302
86.0ms	-3213.461940775962	-0.0008077213492979612

Results

77.0ms	67×	body	1024	valid
23.0ms	163×	body	256	valid
5.0ms	8×	body	2048	valid
5.0ms	18×	body	512	valid

Compiler

Compiled 359 to 282 computations (21.4% saved)

regimes125.0ms (0.6%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
33.0ms	eps
33.0ms	x

Results

Error	Segments	Branch
20.0b	3	`x`
18.8b	3	`eps`
19.8b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 193 to 109 computations (43.5% saved)

bsearch93.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.027205059446197e-6	0.0004045632155828302
64.0ms	-3213.461940775962	-0.0008077213492979612

Results

51.0ms	158×	body	256	valid
27.0ms	68×	body	1024	valid
7.0ms	9×	body	2048	valid
5.0ms	21×	body	512	valid

Compiler

Compiled 263 to 202 computations (23.2% saved)

regimes66.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	eps
29.0ms	x

Results

Error	Segments	Branch
21.9b	5	`x`
18.9b	3	`eps`

Compiler

Compiled 67 to 44 computations (34.3% saved)

bsearch74.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.027205059446197e-6	0.0004045632155828302
42.0ms	-3213.461940775962	-0.0008077213492979612

Results

38.0ms	83×	body	1024	valid
19.0ms	137×	body	256	valid
7.0ms	26×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes33.0ms (0.2%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
36.7b	1	`x`
29.7b	5	`eps`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch168.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	2.027205059446197e-6	0.0004045632155828302
29.0ms	3.5772494341797523e-155	4.560787204578261e-155
71.0ms	-1.2108836028147313e-136	-3.2521797156170814e-141
38.0ms	-3213.461940775962	-0.0008077213492979612

Results

76.0ms	183×	body	1024	valid
56.0ms	68×	body	2048	valid
25.0ms	161×	body	256	valid
5.0ms	20×	body	512	valid

Compiler

Compiled 419 to 350 computations (16.5% saved)

regimes21.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
36.7b	1	`x`
33.6b	3	`eps`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch207.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
110.0ms	2.027205059446197e-6	0.0004045632155828302
97.0ms	-5.086777252000618e-130	-2.147286775572555e-130

Results

172.0ms	85×	body	1024	valid
20.0ms	30×	body	2048	valid
8.0ms	62×	body	256	valid
5.0ms	15×	body	512	valid

Compiler

Compiled 182 to 142 computations (22% saved)

regimes8.0ms (0%)

Accuracy

Total -3.9b remaining (-7.2%)

Threshold costs -3.9b (-7.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
53.8b	1	`x`
53.8b	1	`eps`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	660

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -1170935903116329/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5584463537939415/36028797018963968) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1224979098644775/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -208967022709991/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8854437155380585/590295810358705651712) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 700976274800963/36893488147419103232) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2917539005555509/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 4468371510988705/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4958484807013127/2361183241434822606848) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))
(+.f64 1 -1)

Outputs
(if (<=.f64 eps -1170935903116329/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5584463537939415/36028797018963968) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1224979098644775/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -208967022709991/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8854437155380585/590295810358705651712) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 700976274800963/36893488147419103232) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2917539005555509/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 4468371510988705/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4958484807013127/2361183241434822606848) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))
(+.f64 1 -1)
0

Compiler

Compiled 264 to 184 computations (30.3% saved)

soundness174.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-35`
1288×	`rational.json-simplify-2`
1110×	`rational.json-simplify-1`
868×	`rational.json-simplify-26`
852×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2385
1	374	2327
2	906	2327
3	2283	2259
4	4040	2259
5	5372	2259
6	6594	2259
7	7432	2259

Stop Event

1×	node limit

Compiler

Compiled 386 to 237 computations (38.6% saved)

end262.0ms (1.2%)

Compiler: Compiled 246 to 135 computations (45.1% saved)