Details

analyze1.0ms (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)

sample8.7s (55.9%)

Results

4.1s	3565×	body	1024	valid
2.6s	1227×	body	2048	valid
1.2s	1421×	body	512	valid
736.0ms	2041×	body	256	valid
9.0ms	2×	body	4096	valid

Bogosity

preprocess91.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1788×	`rational.json-simplify-1`
1380×	`trig.json-simplify-41`
1086×	`rational.json-simplify-64`
754×	`rational.json-simplify-46`
720×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	28	42
2	64	42
3	174	42
4	503	42
5	1229	42
6	2702	42
7	5000	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1540×	`rational.json-simplify-1`
1198×	`trig.json-simplify-41`
914×	`rational.json-simplify-64`
660×	`rational.json-simplify-41`
588×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	22	21
2	55	21
3	145	21
4	400	21
5	966	21
6	2170	21
7	4190	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.1b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite148.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`rational.json-simplify-1`
898×	`rational.json-5`
896×	`exponential.json-3`
896×	`rational.json-1`
896×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	87	32
2	381	32
3	1655	32
4	7497	32

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

954×	`rational.json-simplify-1`
920×	`rational.json-simplify-49`
894×	`rational.json-simplify-2`
798×	`rational.json-simplify-44`
776×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1960
1	350	1952
2	950	1912
3	3024	1912

Stop Event

1×	node limit

Counts

94 → 98

Calls

Call 1

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

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

eval34.0ms (0.2%)

Compiler: Compiled 1658 to 668 computations (59.7% saved)

prune30.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	86	12	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	13	99

Error

0.3b

Counts

99 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.0b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	37.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	38.3b	(-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
✓	36.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	61.4b	(-.f64 (sin.f64 x) (sin.f64 x))
	36.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	45.0b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) 1)
	30.0b	(+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1))))
	29.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	33.3b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
▶	33.4b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	33.3b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
▶	33.1b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 355 to 240 computations (32.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.1b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	0.2b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	4.1b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series8.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`rational.json-5`
1724×	`exponential.json-3`
1724×	`rational.json-1`
1724×	`rational.json-2`
1724×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	138	62
2	607	62
3	2822	62

Stop Event

1×	node limit

Counts

4 → 47

Calls

Call 1

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-47`
1212×	`rational.json-simplify-2`
964×	`rational.json-simplify-41`
900×	`rational.json-simplify-1`
776×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	3217
1	502	3177
2	1224	3097
3	3421	3017

Stop Event

1×	node limit

Counts

143 → 160

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (.f64 (cos.f64 eps) x) (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) (.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) (.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) -1)
(.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) -1)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 0)
(/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)
(/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 2)
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x (neg.f64 eps)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 eps (-.f64 (PI.f64) x)))) 2)
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 (-.f64 (PI.f64) x) (neg.f64 eps)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 x (neg.f64 (neg.f64 eps)))) (sin.f64 (-.f64 x (neg.f64 (neg.f64 eps))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 (PI.f64) x) (neg.f64 (neg.f64 eps)))) (sin.f64 (-.f64 (-.f64 (PI.f64) x) (neg.f64 (neg.f64 eps))))) 2)
(pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)
(-.f64 (sin.f64 (+.f64 x eps)) 0)
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 1 (sin.f64 (+.f64 x eps))))
(.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) 1)
(/.f64 (sin.f64 (+.f64 x eps)) (/.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 (PI.f64) (+.f64 x eps)))
(sin.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 x eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))) 2)
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 x (neg.f64 eps)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (-.f64 (PI.f64) eps)))) 2)
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 (-.f64 (PI.f64) eps) (neg.f64 x)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 eps (neg.f64 (neg.f64 x)))) (sin.f64 (-.f64 eps (neg.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 (PI.f64) eps) (neg.f64 (neg.f64 x)))) (sin.f64 (-.f64 (-.f64 (PI.f64) eps) (neg.f64 (neg.f64 x))))) 2)
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`rational.json-simplify-2`
746×	`rational.json-simplify-42`
668×	`rational.json-simplify-1`
664×	`rational.json-5`
662×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	67	11
2	264	11
3	1094	11
4	5268	11

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify177.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

934×	`rational.json-simplify-1`
844×	`rational.json-simplify-111`
792×	`rational.json-simplify-2`
558×	`rational.json-simplify-49`
458×	`rational.json-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	291
1	91	291
2	198	279
3	470	273
4	1823	273
5	4904	273
6	7230	273

Stop Event

1×	node limit

Counts

17 → 25

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
✓	1.7b	(-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))
✓	1.8b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) 1)
	3.1b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 42 to 14 computations (66.7% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`rational.json-5`
1020×	`exponential.json-3`
1020×	`rational.json-1`
1020×	`rational.json-2`
1020×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	120	81
2	461	69
3	1944	69

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1882×	`rational.json-simplify-47`
964×	`rational.json-simplify-1`
942×	`rational.json-simplify-2`
794×	`rational.json-simplify-49`
714×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	4108
1	490	4050
2	1104	4004
3	3202	3974

Stop Event

1×	node limit

Counts

146 → 178

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	0.1b	(*.f64 (cos.f64 x) eps)
✓	3.9b	(*.f64 (pow.f64 eps 2) (sin.f64 x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (0%)

Counts

2 → 15

Calls

12 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`rational.json-5`
996×	`exponential.json-3`
996×	`rational.json-1`
996×	`rational.json-2`
996×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	127	56
2	438	56
3	1787	56

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

Outputs

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

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

simplify177.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational.json-simplify-47`
1112×	`rational.json-simplify-49`
1048×	`rational.json-simplify-2`
862×	`rational.json-simplify-1`
800×	`rational.json-simplify-111`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1130
1	165	1088
2	415	1058
3	1601	1040
4	5782	1040

Stop Event

1×	node limit

Counts

32 → 49

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 5) (.f64 1/120 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5)))) (.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 5) (.f64 1/120 (pow.f64 eps 2)))) (.f64 (pow.f64 x 7) (.f64 (pow.f64 eps 2) -1/5040)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 x (*.f64 1/120 (pow.f64 x 5))))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(.f64 (pow.f64 eps 2) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/5040 (pow.f64 x 7))))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 eps (.f64 (pow.f64 eps 2) (.f64 x -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 eps (.f64 eps (.f64 (pow.f64 x 2) -1/2))))
(+.f64 eps (.f64 -1/2 (+.f64 (.f64 (pow.f64 eps 2) x) (*.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/12))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (+.f64 eps (.f64 -1/2 (+.f64 (.f64 (pow.f64 eps 2) x) (*.f64 eps (pow.f64 x 2))))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 2) (.f64 eps -1/2)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 0 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) 1))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(pow.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))

eval236.0ms (1.5%)

Compiler: Compiled 9882 to 4955 computations (49.9% saved)

prune287.0ms (1.9%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	468	24	492
Fresh	4	3	7
Picked	0	1	1
Done	3	2	5
Total	475	30	505

Error

0.2b

Counts

505 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	45.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) 1)
	44.9b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
✓	20.0b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	37.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	35.1b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	28.5b	(-.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) 1))
	28.7b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1))
	20.0b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
	0.5b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) -1) 1))
▶	0.4b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
	59.3b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 -1 (+.f64 (sin.f64 x) 1)))
	36.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.0b	(+.f64 (-.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) (sin.f64 x)) 1)
	44.7b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	28.4b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))))) 1)
	44.5b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 eps))) 1)
	45.9b	(+.f64 (-.f64 -1 (+.f64 (.f64 x (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))) 1)
▶	45.4b	(+.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) -1)) 1)
▶	33.3b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
▶	29.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	33.3b	(+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
✓	33.4b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	45.7b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
▶	61.4b	(+.f64 -1 1)
	61.7b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
	45.4b	(.f64 (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
✓	33.1b	(*.f64 (cos.f64 x) eps)
	28.3b	(sin.f64 eps)
	44.8b	eps

Compiler

Compiled 826 to 599 computations (27.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.2b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
✓	0.2b	(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
✓	1.8b	(-.f64 1 (cos.f64 eps))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

15 calls:

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

rewrite158.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational.json-5`
1622×	`exponential.json-3`
1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	137	73
2	552	73
3	2566	73

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

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

Outputs

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

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

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

simplify194.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1678×	`rational.json-simplify-47`
1114×	`rational.json-simplify-43`
1014×	`rational.json-simplify-49`
1012×	`rational.json-simplify-41`
788×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2538
1	297	2490
2	736	2438
3	2683	2362
4	7548	2362

Stop Event

1×	node limit

Counts

68 → 102

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series5.0ms (0%)

Counts

3 → 12

Calls

12 calls:

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

rewrite161.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`rational.json-simplify-44`
812×	`rational.json-5`
810×	`exponential.json-3`
810×	`rational.json-1`
810×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	94	33
2	341	33
3	1390	33
4	6445	33

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

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

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

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

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1096×	`rational.json-simplify-49`
970×	`rational.json-simplify-2`
808×	`rational.json-simplify-54`
754×	`rational.json-simplify-41`
702×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	995
1	349	995
2	894	995
3	2718	995

Stop Event

1×	node limit

Counts

61 → 81

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (cos.f64 eps) -1) x)
✓	0.4b	(+.f64 (sin.f64 eps) -1)
✓	1.8b	(+.f64 (cos.f64 eps) -1)
✓	3.3b	(+.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) -1)) 1)

Compiler

Compiled 48 to 27 computations (43.8% saved)

series2.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite129.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`rational.json-5`
1016×	`exponential.json-3`
1016×	`rational.json-1`
1016×	`rational.json-2`
1016×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	131	78
2	445	78
3	1819	66

Stop Event

1×	node limit

Counts

4 → 46

Calls

Call 1

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

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

simplify181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational.json-simplify-49`
1010×	`rational.json-simplify-2`
934×	`rational.json-simplify-54`
730×	`rational.json-simplify-50`
582×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2364
1	282	2364
2	740	2364
3	2223	2364
4	6019	2364

Stop Event

1×	node limit

Counts

118 → 98

Calls

Call 1

Inputs
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
-1
(-.f64 eps 1)
(-.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) 1)
(-.f64 (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5)))) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (sin.f64 eps) 1)
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 -1 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) -1)
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 0)
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)))
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) (/.f64 1 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) (.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))) (/.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)))))
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))
(pow.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1))
(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (/.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (+.f64 -1 (sin.f64 eps)) 0)
(*.f64 (+.f64 -1 (sin.f64 eps)) 1)
(*.f64 (+.f64 -1 (sin.f64 eps)) (/.f64 (-.f64 1 (sin.f64 eps)) (-.f64 1 (sin.f64 eps))))
(*.f64 1 (+.f64 -1 (sin.f64 eps)))
(.f64 (.f64 (+.f64 -1 (sin.f64 eps)) (+.f64 -1 (sin.f64 eps))) (/.f64 1 (+.f64 -1 (sin.f64 eps))))
(.f64 (.f64 (+.f64 -1 (sin.f64 eps)) (+.f64 -1 (sin.f64 eps))) (*.f64 (/.f64 1 (+.f64 -1 (sin.f64 eps))) 1))
(.f64 (/.f64 1 (+.f64 -1 (sin.f64 eps))) (.f64 (+.f64 -1 (sin.f64 eps)) (+.f64 -1 (sin.f64 eps))))
(.f64 (.f64 (+.f64 -1 (sin.f64 eps)) (.f64 (+.f64 -1 (sin.f64 eps)) (.f64 (+.f64 -1 (sin.f64 eps)) (+.f64 -1 (sin.f64 eps))))) (/.f64 (/.f64 1 (+.f64 -1 (sin.f64 eps))) (*.f64 (+.f64 -1 (sin.f64 eps)) (+.f64 -1 (sin.f64 eps)))))
(/.f64 (+.f64 -1 (sin.f64 eps)) 1)
(/.f64 (+.f64 -1 (sin.f64 eps)) (/.f64 (-.f64 1 (sin.f64 eps)) (-.f64 1 (sin.f64 eps))))
(pow.f64 (+.f64 -1 (sin.f64 eps)) 1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(+.f64 1 (+.f64 -1 (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (+.f64 -1 (*.f64 (+.f64 (cos.f64 eps) -1) x)) 1)
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(-.f64 (+.f64 -1 (*.f64 (+.f64 (cos.f64 eps) -1) x)) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)

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

localize138.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
✓	0.1b	(*.f64 -1/6 (pow.f64 eps 3))
✓	3.9b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
✓	5.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series6.0ms (0%)

Counts

4 → 64

Calls

21 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-5`
1162×	`exponential.json-3`
1162×	`rational.json-1`
1162×	`rational.json-2`
1162×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	122
1	167	122
2	538	122
3	2149	122

Stop Event

1×	node limit

Counts

4 → 29

Calls

Call 1

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

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

simplify183.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational.json-simplify-47`
932×	`rational.json-simplify-2`
798×	`rational.json-simplify-111`
734×	`rational.json-simplify-49`
672×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	4081
1	269	4081
2	670	3585
3	2000	3531
4	5589	3531

Stop Event

1×	node limit

Counts

93 → 106

Calls

Call 1

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

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

eval549.0ms (3.5%)

Compiler: Compiled 10059 to 6263 computations (37.7% saved)

prune124.0ms (0.8%)

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	423	5	428
Fresh	3	19	22
Picked	1	0	1
Done	0	7	7
Total	427	31	458

Error

0.2b

Counts

458 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) 1)
	44.9b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
✓	20.0b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	37.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	35.1b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	28.5b	(-.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) 1))
	28.7b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1))
	20.0b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
▶	0.5b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) -1) 1))
▶	30.8b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) 1/2)))
	17.2b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 eps)) x))
✓	0.4b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
	59.3b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 -1 (+.f64 (sin.f64 x) 1)))
	36.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.0b	(+.f64 (-.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) (sin.f64 x)) 1)
	44.7b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	28.4b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))))) 1)
	44.5b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 eps))) 1)
✓	45.4b	(+.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) -1)) 1)
	33.3b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
✓	29.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	33.4b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	45.3b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
✓	61.4b	(+.f64 -1 1)
▶	61.7b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
	45.4b	(.f64 (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.1b	(*.f64 (cos.f64 x) eps)
▶	28.3b	(sin.f64 eps)
	44.8b	eps

Compiler

Compiled 764 to 547 computations (28.4% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) -1) 1))
	0.2b	(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
	1.8b	(-.f64 1 (cos.f64 eps))
✓	3.2b	(-.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) -1) 1)

Compiler

Compiled 67 to 34 computations (49.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational.json-5`
1772×	`exponential.json-3`
1772×	`rational.json-1`
1772×	`rational.json-2`
1772×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	169	62
2	646	62
3	2948	62

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational.json-simplify-47`
1358×	`rational.json-simplify-2`
1086×	`rational.json-simplify-49`
784×	`rational.json-simplify-54`
774×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	2719
1	266	2671
2	739	2619
3	2541	2553

Stop Event

1×	node limit

Counts

75 → 89

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)

Compiler

Compiled 5 to 3 computations (40% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	3.9b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x))
✓	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
	3.1b	(sin.f64 (+.f64 x eps))
✓	4.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) 1)

Compiler

Compiled 40 to 16 computations (60% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational.json-5`
1088×	`exponential.json-3`
1088×	`rational.json-1`
1088×	`rational.json-2`
1088×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	118	65
2	494	65
3	2098	65

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

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

Outputs

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

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

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

simplify138.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational.json-simplify-49`
1098×	`rational.json-simplify-1`
1006×	`rational.json-simplify-2`
880×	`rational.json-simplify-54`
748×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	3488
1	411	3440
2	1093	3390
3	3363	3390

Stop Event

1×	node limit

Counts

128 → 155

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)
✓	0.0b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) 1/2)))
	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	3.9b	(.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 1/2))

Compiler

Compiled 46 to 23 computations (50% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational.json-5`
1344×	`exponential.json-3`
1344×	`rational.json-1`
1344×	`rational.json-2`
1344×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	142	66
2	551	66
3	2412	66

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify253.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

924×	`rational.json-simplify-47`
876×	`rational.json-simplify-1`
760×	`rational.json-simplify-2`
690×	`rational.json-simplify-49`
666×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	2538
1	212	2538
2	494	2452
3	1415	2424
4	4280	2424
5	7144	2424

Stop Event

1×	node limit

Counts

68 → 78

Calls

Call 1

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

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

eval241.0ms (1.6%)

Compiler: Compiled 12158 to 6718 computations (44.7% saved)

prune155.0ms (1%)

Pruning

44 alts after pruning (33 fresh and 11 done)

	Pruned	Kept	Total
New	560	16	576
Fresh	2	17	19
Picked	0	1	1
Done	1	10	11
Total	563	44	607

Error

0.2b

Counts

607 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	60.9b	(/.f64 (+.f64 (sin.f64 eps) (sin.f64 (-.f64 (neg.f64 eps) (PI.f64)))) 2)
	45.1b	(-.f64 (-.f64 (-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) -2) 2) (sin.f64 x)) 1)
	45.1b	(-.f64 (-.f64 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) 2) -3) (sin.f64 x)) 1)
	45.0b	(-.f64 (-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 1) (sin.f64 x)) 1)
	44.5b	(-.f64 (-.f64 (+.f64 (sin.f64 eps) 1) (sin.f64 x)) 1)
	28.5b	(-.f64 (-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x)) 1)
	44.9b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
	61.4b	(-.f64 (-.f64 (+.f64 1 (sin.f64 x)) (sin.f64 x)) 1)
	44.7b	(-.f64 (-.f64 0 (-.f64 -1 (sin.f64 eps))) 1)
	45.1b	(-.f64 (+.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) -1) 1)
✓	20.0b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	33.3b	(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) 1/2)))
	37.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	35.1b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	28.5b	(-.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) 1))
	42.6b	(-.f64 (.f64 (.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps))) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) 1/2)))
	52.6b	(-.f64 (.f64 (.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps)))) (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 1/2)))
	28.7b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1))
	20.0b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
✓	0.5b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) -1) 1))
	0.5b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) -1) 1))
✓	30.8b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) 1/2)))
	29.8b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
	17.2b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 eps)) x))
✓	0.4b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
	59.3b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 -1 (+.f64 (sin.f64 x) 1)))
	36.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.0b	(+.f64 (-.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) (sin.f64 x)) 1)
	28.4b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1)
	44.7b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	44.5b	(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 eps))) 1)
✓	45.4b	(+.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) -1)) 1)
✓	29.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	33.4b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	45.3b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
✓	61.4b	(+.f64 -1 1)
✓	61.7b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
	45.4b	(.f64 (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
	35.3b	(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps)))
	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.1b	(*.f64 (cos.f64 x) eps)
✓	28.3b	(sin.f64 eps)
	44.8b	eps

Compiler

Compiled 661 to 474 computations (28.3% saved)

regimes100.0ms (0.6%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	eps
29.0ms	x
21.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`eps`
0.4b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 813 to 390 computations (52% saved)

regimes386.0ms (2.5%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

3 calls:

258.0ms	eps
84.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.0ms	x

Results

Error	Segments	Branch
17.2b	1	`x`
16.2b	2	`eps`
17.2b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 342 to 183 computations (46.5% saved)

bsearch162.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
161.0ms	3.0040723886025526e-20	1.1547338729070452e-14

Results

117.0ms	32×	body	1024	valid
24.0ms	89×	body	256	valid
12.0ms	20×	body	512	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 275 to 190 computations (30.9% saved)

regimes217.0ms (1.4%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

148.0ms	eps
30.0ms	x
23.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
17.2b	1	`x`
17.2b	1	`eps`
17.2b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 331 to 181 computations (45.3% saved)

regimes162.0ms (1%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
49.0ms	eps
47.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
17.4b	3	`x`
16.2b	3	`eps`
16.7b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 285 to 155 computations (45.6% saved)

bsearch78.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	3.0040723886025526e-20	1.1547338729070452e-14
32.0ms	-0.00010622110017582293	-1.3315794322621635e-6

Results

33.0ms	169×	body	256	valid
24.0ms	52×	body	1024	valid
9.0ms	29×	body	512	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes52.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
24.0ms	eps

Results

Error	Segments	Branch
17.6b	3	`x`
16.5b	3	`eps`

Compiler

Compiled 54 to 37 computations (31.5% saved)

bsearch127.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	3.0040723886025526e-20	1.1547338729070452e-14
48.0ms	-0.00010622110017582293	-1.3315794322621635e-6

Results

39.0ms	35×	body	512	valid
36.0ms	60×	body	1024	valid
35.0ms	150×	body	256	valid
11.0ms	11×	body	2048	valid

Compiler

Compiled 206 to 154 computations (25.2% saved)

regimes17.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

8.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
28.3b	1	`x`
28.3b	1	`eps`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes16.0ms (0.1%)

Accuracy

Total -17.1b remaining (-38.2%)

Threshold costs -17.1b (-38.2%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(+.f64 -1 1)

Outputs
eps

Calls

2 calls:

8.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
44.8b	1	`x`
44.8b	1	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	263

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(if (<=.f64 eps 7288990951312319/633825300114114700748351602688) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 eps)) x)) (-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 eps)) x))
(if (<=.f64 eps -3984496719921263/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7288990951312319/633825300114114700748351602688) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7673845534663173/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 7288990951312319/633825300114114700748351602688) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(if (<=.f64 eps 7288990951312319/633825300114114700748351602688) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 eps)) x)) (-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 eps)) x))
(if (<=.f64 eps -3984496719921263/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7288990951312319/633825300114114700748351602688) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7673845534663173/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 7288990951312319/633825300114114700748351602688) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 107 to 66 computations (38.3% saved)

soundness0.0ms (0%)

end53.0ms (0.3%)

Compiler: Compiled 95 to 38 computations (60% saved)