Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.4s (29%)

Results

2.1s	4051×	body	1024	valid
1.7s	2004×	body	2048	valid
398.0ms	1432×	body	512	valid
176.0ms	768×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess53.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1020×	`rational_best-simplify-96`
974×	`rational_best-simplify-61`
958×	`rational_best-simplify-65`
648×	`rational_best-simplify-3`
570×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	78	42
2	416	42
3	2767	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

616×	`rational_best-simplify-124`
600×	`rational_best-simplify-105`
572×	`rational_best-simplify-96`
568×	`rational_best-simplify-117`
560×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	42	21
2	239	21
3	1570	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

40.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.8b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.7b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`rational_best-simplify-124`
600×	`rational_best-simplify-105`
572×	`rational_best-simplify-96`
568×	`rational_best-simplify-117`
554×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	42	32
2	239	32
3	1570	32

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (+.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (-.f64 (*.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1)) (*.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0)) 0) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

466×	`rational_best-simplify-126`
462×	`rational_best-simplify-124`
450×	`rational_best-simplify-127`
408×	`rational_best-simplify-65`
382×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	222	2382
1	1223	2356

Stop Event

1×	node limit

Counts

104 → 107

Calls

Call 1

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

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

eval24.0ms (0.2%)

Compiler: Compiled 2199 to 709 computations (67.8% saved)

prune34.0ms (0.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	90	17	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	18	108

Error

0.4b

Counts

108 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	40.8b	(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (-.f64 (.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1)) (.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))
	23.9b	(-.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	23.9b	(-.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	40.8b	(-.f64 (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	40.8b	(-.f64 (if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	46.3b	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	23.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	40.8b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	40.3b	(-.f64 (cos.f64 eps) 1)
▶	23.8b	(+.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps)))
▶	6.6b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	33.8b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	42.0b	(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
▶	41.6b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
	39.5b	(*.f64 eps (neg.f64 (sin.f64 x)))

Compiler

Compiled 1007 to 442 computations (56.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
✓	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
✓	1.7b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series8.0ms (0.1%)

Counts

4 → 80

Calls

24 calls:

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

rewrite170.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`rational_best-simplify-61`
766×	`rational_best-simplify-96`
760×	`rational_best-simplify-65`
748×	`rational_best-simplify-113`
590×	`rational_best-simplify-111`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	65	104
2	335	84
3	2110	80

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

Outputs
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(-.f64 eps x))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))))))

simplify172.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`rational_best-simplify-124`
672×	`rational_best-simplify-62`
664×	`rational_best-simplify-65`
612×	`rational_best-simplify-61`
550×	`rational_best-simplify-96`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	367	5918
1	1965	4872

Stop Event

1×	node limit

Counts

164 → 187

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best-simplify-3`
686×	`rational_best-simplify-53`
644×	`rational_best-simplify-1`
638×	`rational_best-simplify-56`
418×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	32	11
2	138	11
3	818	11
4	5315	11

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

860×	`rational_best-simplify-53`
844×	`rational_best-simplify-1`
670×	`rational_best-simplify-52`
550×	`rational_best-simplify-21`
544×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1779
1	802	1721
2	5188	1573

Stop Event

1×	node limit

Counts

47 → 63

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 -1 (cos.f64 eps))
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 -1 (-.f64 1 (cos.f64 eps)))
(*.f64 (-.f64 1 (cos.f64 eps)) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (-.f64 1 (cos.f64 eps)) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (neg.f64 (cos.f64 eps)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) -2) -2)
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) 4)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) -2)))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (*.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2))) (neg.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (*.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2)) (neg.f64 (+.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) -2))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -2) (.f64 (+.f64 (cos.f64 eps) -1) -2)) -4)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2)) 8)
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (+.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2)))) (+.f64 (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2)) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))) (+.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))))) (-.f64 (.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))))) (-.f64 (.f64 (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2)) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))) (-.f64 (.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))))
(/.f64 (-.f64 (.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2)) (.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2))) (-.f64 16 (.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2)))) (-.f64 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2) 4))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))) (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(neg.f64 (-.f64 1 (cos.f64 eps)))
(if (!=.f64 (+.f64 (cos.f64 eps) 1) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (cos.f64 eps) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)) 0)
(if (!=.f64 -1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (neg.f64 (cos.f64 eps)) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (-.f64 1 (cos.f64 eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 0 0) (/.f64 0 0) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/40320 (pow.f64 eps 8))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (-.f64 (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 -1 (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 1 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 1 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (neg.f64 (cos.f64 eps)) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) -2) -2)
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) 4)
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 eps) -1))) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) -2)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (*.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps)))))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2))) (neg.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (*.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps)))))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2)) (neg.f64 (+.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) -2))))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -2) (.f64 (+.f64 (cos.f64 eps) -1) -2)) -4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2)) 8)
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 eps) -1))) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (+.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2)))) (+.f64 (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2)) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2))))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))) (+.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps)))))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))))) (-.f64 (.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2))) (-.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))))) (-.f64 (.f64 (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2)) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2))) (+.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) -2)))))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))) (-.f64 (.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps)))))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(/.f64 (-.f64 (.f64 4 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2)) (.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2))) (-.f64 16 (.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2))))
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 eps) -1))) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 2) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (+.f64 (cos.f64 eps) -1) -2)))) (-.f64 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2) 4))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))) (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(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)
(if (!=.f64 (+.f64 (cos.f64 eps) 1) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(if (!=.f64 1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(if (!=.f64 (cos.f64 eps) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (+.f64 (+.f64 (cos.f64 eps) -1) (/.f64 0 (+.f64 (cos.f64 eps) -1))) 0)
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 eps)))) 0)
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)) 0)
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (+.f64 (+.f64 (cos.f64 eps) -1) (/.f64 0 (+.f64 (cos.f64 eps) -1))) 0)
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 eps)))) 0)
(if (!=.f64 -1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(if (!=.f64 (neg.f64 (cos.f64 eps)) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 (-.f64 1 (cos.f64 eps)) 0) (/.f64 (*.f64 (+.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)
(if (!=.f64 0 0) (/.f64 0 0) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))

localize55.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	2.3b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational_best-simplify-53`
726×	`rational_best-simplify-1`
588×	`rational_best-simplify-52`
554×	`rational_best-simplify-18`
550×	`rational_best-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	38	42
2	165	42
3	946	42
4	6164	42

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 1 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 (sin.f64 eps) x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (*.f64 (sin.f64 eps) x)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 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simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

490×	`rational_best-simplify-124`
488×	`rational_best-simplify-126`
486×	`rational_best-simplify-127`
456×	`rational_best-simplify-65`
436×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	233	2913
1	1302	2897

Stop Event

1×	node limit

Counts

111 → 94

Calls

Call 1

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

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

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))
	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
✓	2.7b	(+.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 50 to 11 computations (78% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`rational_best-simplify-111`
820×	`rational_best-simplify-61`
796×	`rational_best-simplify-96`
770×	`rational_best-simplify-65`
622×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	65	74
2	351	54
3	2260	50

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational_best-simplify-1`
630×	`rational_best-simplify-21`
622×	`rational_best-simplify-20`
622×	`rational_best-simplify-18`
414×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	192	4209
1	1041	3103
2	6809	3103

Stop Event

1×	node limit

Counts

93 → 110

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
-1
(-.f64 (.f64 -1 (.f64 x (sin.f64 eps))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))
(-.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 0 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 x eps))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(/.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))) (-.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 0) (/.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 0)
(+.f64 0 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 1)
(.f64 -1 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) -1)
(.f64 1 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 1)
(/.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) -1)
(/.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) -2)
(/.f64 (-.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 -1 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 1))
(/.f64 (+.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) -4)
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 -1 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 -1 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))) (+.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 1) (+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 1)))
(pow.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 0) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) 0) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(if (!=.f64 -1 0) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))

Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (cos.f64 eps))) -1)
(+.f64 -1 (+.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (cos.f64 eps)))) -1)
(+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 eps))))
(+.f64 -1 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 -1 (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(+.f64 (+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 1/24 (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) 1/24))))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
-1
(-.f64 (.f64 -1 (.f64 x (sin.f64 eps))) 1)
(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) -1)
(+.f64 -1 (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (*.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 1/6 (sin.f64 eps))))) -1)
(+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 1/2 (pow.f64 x 2)))))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (cos.f64 x)))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (-.f64 (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 5) (.f64 -1/120 (sin.f64 x))) (+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (-.f64 (.f64 (pow.f64 eps 5) (.f64 (sin.f64 x) -1/120)) (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (-.f64 (.f64 -1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5))) (cos.f64 x))))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
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(.f64 1 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
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(/.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) 1)
(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
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(-.f64 (.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
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localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	1.6b	(-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))
	3.7b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 129 to 17 computations (86.8% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational_best-simplify-96`
906×	`rational_best-simplify-61`
874×	`rational_best-simplify-65`
798×	`rational_best-simplify-3`
504×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	72	68
2	402	68
3	2798	68

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x)))))) (+.f64 (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) (+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) 0) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (*.f64 (+.f64 x eps) 2)))) 4) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0) (*.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (*.f64 (+.f64 x eps) 2)))) 4) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) 0) (*.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))) 0) (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0)) 0) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))))))

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

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational_best-simplify-1`
704×	`rational_best-simplify-21`
692×	`rational_best-simplify-20`
684×	`rational_best-simplify-18`
410×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	235	4050
1	1142	4010
2	6955	4010

Stop Event

1×	node limit

Counts

90 → 99

Calls

Call 1

Inputs
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 -2 (.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))) 1)
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (.f64 -2 (.f64 (cos.f64 eps) (.f64 (sin.f64 eps) x))) (.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/3 (.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (.f64 -2 (.f64 (cos.f64 eps) (.f64 (sin.f64 eps) x))) (.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))))) 1)
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(.f64 -2 (.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1 (pow.f64 (cos.f64 x) 2)))) (.f64 -2 (.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (.f64 -2 (.f64 eps (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (cos.f64 x) (sin.f64 x)) (.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x)))))))
(+.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (+.f64 (.f64 1/12 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (.f64 -2 (.f64 eps (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (cos.f64 x) (sin.f64 x)) (.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x))))))))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 1 (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (.f64 -1 (.f64 x (sin.f64 eps)))))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 2 (cos.f64 x))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 0)
(+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+.f64 0 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) 1)
(.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -1)
(.f64 -1 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 1)
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -1)
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) -2)
(/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1))
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))) -4)
(/.f64 (+.f64 (-.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))))) (+.f64 (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1)))
(pow.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 1)
(neg.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 0) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2)))) 4) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 0) (/.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2)))) 4) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) 0) (.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))) 0) (/.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0)) 0) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 x eps))))
(-.f64 0 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(-.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(*.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)) -1)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(/.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)) -1)
(/.f64 (+.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x))) -2)
(neg.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))

Outputs
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(+.f64 (pow.f64 (cos.f64 eps) 2) -1)
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 -2 (.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))) 1)
(+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) (.f64 -2 (*.f64 (sin.f64 eps) x)))) -1)
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (.f64 -2 (.f64 (cos.f64 eps) (.f64 (sin.f64 eps) x))) (.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (.f64 (cos.f64 eps) (.f64 -2 (.f64 (sin.f64 eps) x))) (.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)))) -1)
(+.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (.f64 (cos.f64 eps) (.f64 -2 (.f64 (sin.f64 eps) x))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/3 (.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (.f64 -2 (.f64 (cos.f64 eps) (.f64 (sin.f64 eps) x))) (.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 -2 (.f64 (sin.f64 eps) x))) (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 1/3 (sin.f64 eps)))) (pow.f64 x 3)))) -1)
(+.f64 -1 (+.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 -2 (.f64 (sin.f64 eps) x))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2))) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 1/3))) (pow.f64 x 3)))))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))
(.f64 -2 (.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))
(.f64 eps (.f64 -2 (*.f64 (cos.f64 x) (sin.f64 x))))
(.f64 eps (.f64 (sin.f64 x) (*.f64 -2 (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1 (pow.f64 (cos.f64 x) 2)))) (.f64 -2 (.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 -2 (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (.f64 -2 (cos.f64 x)))) (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (.f64 -2 (.f64 eps (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (cos.f64 x) (sin.f64 x)) (.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x)))))))
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(if (!=.f64 (.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))) 0) (/.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))) 0) (.f64 (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 (+.f64 eps x)))) (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))) 0) (.f64 (+.f64 (cos.f64 (+.f64 eps x)) (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 (+.f64 eps x)))) (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 x))))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 0)) 0) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 x eps))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 0 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)) -1)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)) -1)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x))) -2)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(neg.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(if (!=.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(if (!=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))

eval391.0ms (2.6%)

Compiler: Compiled 39635 to 10373 computations (73.8% saved)

prune440.0ms (2.9%)

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	935	40	975
Fresh	4	8	12
Picked	1	0	1
Done	3	2	5
Total	943	50	993

Error

0.2b

Counts

993 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	40.5b	(if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
	24.1b	(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 0) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2)))) 4) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.1b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	39.5b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (.f64 eps (.f64 (sin.f64 x) (*.f64 -2 (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	40.3b	(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 eps)))) 0)
	40.3b	(if (!=.f64 (cos.f64 eps) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
	40.4b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))) (-.f64 (.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))))
	40.3b	(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
	40.3b	(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
	40.3b	(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
	23.9b	(-.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	23.9b	(-.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	40.8b	(-.f64 (if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶	46.3b	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) 1)
	6.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.8b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	40.8b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.3b	(-.f64 (cos.f64 eps) 1)
	23.9b	(+.f64 (if (!=.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps)))
	24.0b	(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
	6.9b	(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
▶	6.6b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	6.7b	(+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) (-.f64 -1 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)))) (+.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	38.4b	(+.f64 (-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	54.6b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 x))
	39.3b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
	16.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
▶	13.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	28.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
	13.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	37.4b	(+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	35.6b	(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
▶	22.0b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	34.3b	(+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	33.8b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	47.6b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	51.9b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.4b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
	40.5b	(+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps)))
	53.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
	39.5b	(*.f64 eps (neg.f64 (sin.f64 x)))
▶	53.4b	(*.f64 eps (neg.f64 x))
	51.5b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 3337 to 1709 computations (48.8% saved)

localize82.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
✓	0.2b	(*.f64 (cos.f64 x) (cos.f64 x))
✓	1.6b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 129 to 47 computations (63.6% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
0.0ms	x	@	-inf	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
0.0ms	x	@	0	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
0.0ms	eps	@	-inf	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
0.0ms	eps	@	inf	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`rational_best-simplify-61`
966×	`rational_best-simplify-96`
930×	`rational_best-simplify-65`
698×	`rational_best-simplify-3`
674×	`rational_best-simplify-105`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	129
1	76	125
2	404	125
3	2707	67

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs

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

(*.f64 (cos.f64 x) (cos.f64 x))

(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 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 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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 1 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 eps) -1) (*.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 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps))) (+.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (+.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 1 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (cos.f64 eps) 1) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (cos.f64 eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cos.f64 eps) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (+.f64 1 (cos.f64 (*.f64 x 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (cos.f64 (*.f64 x 2))) 2) (*.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (-.f64 -1 (cos.f64 (*.f64 x 2))))) (+.f64 4 (-.f64 -2 (*.f64 2 (cos.f64 (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (+.f64 4 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x x))) (cos.f64 0)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)) (+.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (+.f64 1 (cos.f64 (*.f64 x 2)))) (-.f64 -2 (*.f64 2 (cos.f64 (*.f64 x 2))))) (+.f64 (+.f64 (*.f64 2 (cos.f64 (*.f64 x 2))) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (+.f64 1 (cos.f64 (*.f64 x 2)))) (+.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (+.f64 1 (cos.f64 (*.f64 x 2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (+.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2)))) (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (cos.f64 (*.f64 x 2))) 2) (*.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (-.f64 -1 (cos.f64 (*.f64 x 2))))) (+.f64 (+.f64 (*.f64 2 (cos.f64 (*.f64 x 2))) 2) (*.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (-.f64 -1 (cos.f64 (*.f64 x 2)))))) (+.f64 (+.f64 4 (-.f64 -2 (*.f64 2 (cos.f64 (*.f64 x 2))))) (+.f64 4 (-.f64 -2 (*.f64 2 (cos.f64 (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (-.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))) (+.f64 (+.f64 4 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)) (+.f64 4 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simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

774×	`rational_best-simplify-61`
762×	`rational_best-simplify-65`
714×	`rational_best-simplify-62`
694×	`rational_best-simplify-96`
430×	`rational_best-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	5390
1	2151	4774

Stop Event

1×	node limit

Counts

158 → 164

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))
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(.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) 1)
(/.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps)))) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))))) -2)
(neg.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps)))))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (cos.f64 eps))))) (-.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) 0) (/.f64 (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 0) (/.f64 (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (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 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (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 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 -2/45 (pow.f64 x 6)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 x (sin.f64 eps))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)))) (.f64 -1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))) (.f64 (sin.f64 eps) (.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (*.f64 -1 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (.f64 -1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (.f64 (sin.f64 x) (.f64 -1/120 (pow.f64 eps 5)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(-.f64 0 (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(*.f64 -1 (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 1 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 1 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
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(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) 1)
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(if (!=.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) 0) (/.f64 (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
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(if (!=.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 0) (/.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
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(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))

localize5.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
	1.6b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 35 to 13 computations (62.9% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`rational_best-simplify-124`
618×	`rational_best-simplify-96`
600×	`rational_best-simplify-117`
598×	`rational_best-simplify-61`
596×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	57	36
2	288	36
3	1781	36

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

974×	`rational_best-simplify-1`
616×	`rational_best-simplify-21`
600×	`rational_best-simplify-20`
600×	`rational_best-simplify-18`
560×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2020
1	968	1760
2	6445	1748

Stop Event

1×	node limit

Counts

66 → 79

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
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(+.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) -1)
(-.f64 -1 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (neg.f64 (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x)))))
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(sin.f64 x)
(if (!=.f64 (sin.f64 x) 0) (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0) (sin.f64 x)) (sin.f64 x))
(sin.f64 x)
(if (!=.f64 (+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))) (+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))))) (sin.f64 x))
(sin.f64 x)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 1 (cos.f64 (+.f64 x eps)))
✓	2.3b	(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
	3.7b	(cos.f64 (+.f64 x eps))
✓	10.2b	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 88 to 17 computations (80.7% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
3.0ms	x	@	0	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
1.0ms	x	@	-inf	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
1.0ms	eps	@	-inf	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
1.0ms	x	@	inf	(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational_best-simplify-61`
1038×	`rational_best-simplify-3`
638×	`rational_best-simplify-1`
634×	`rational_best-simplify-53`
600×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	135
1	105	135
2	649	115
3	4565	115

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational_best-simplify-65`
1218×	`rational_best-simplify-61`
1156×	`rational_best-simplify-62`
958×	`rational_best-simplify-96`
814×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	523	15774
1	3197	15442

Stop Event

1×	node limit

Counts

166 → 197

Calls

Call 1

Inputs
(-.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))) 1))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) (-.f64 1 (cos.f64 eps)))) (/.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (pow.f64 (-.f64 1 (cos.f64 eps)) 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (-.f64 1 (cos.f64 eps)))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (-.f64 1 (cos.f64 eps)) 2)))) x) (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps)))))
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(-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 1 (cos.f64 (+.f64 eps x)))) (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 1 (cos.f64 (+.f64 eps x)))) (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 1 (cos.f64 (+.f64 eps x)))) (cos.f64 x)))
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(-.f64 (/.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (-.f64 1 (cos.f64 (-.f64 eps (.f64 -1 x))))) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) 2) (-.f64 1 (cos.f64 (-.f64 eps (.f64 -1 x)))))))
(-.f64 (/.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (-.f64 1 (cos.f64 (-.f64 eps (.f64 -1 x))))) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) 2) (-.f64 1 (cos.f64 (-.f64 eps (.f64 -1 x)))))))
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(-.f64 (/.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
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(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))))) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)) -2) (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (-.f64 4 (*.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)) -2)))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))) (.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (-.f64 (.f64 (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))) (.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)))))
(/.f64 (neg.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) -1))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))
(pow.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) 1)
(neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 1 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 (-.f64 -1 (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 -1 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0)) 0) (-.f64 1 (cos.f64 (+.f64 x eps))))

Outputs
(-.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))) 1))
(-.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps)))))
(+.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (-.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) (-.f64 1 (cos.f64 eps)))) (/.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (pow.f64 (-.f64 1 (cos.f64 eps)) 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (-.f64 1 (cos.f64 eps)))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (-.f64 1 (cos.f64 eps)) 2)))) x) (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps)))))
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(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (.f64 (+.f64 -1 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))))) (.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 -1 (cos.f64 (+.f64 eps x))))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))))))
(/.f64 (+.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (+.f64 (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (.f64 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (+.f64 -1 (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 -1 (cos.f64 (+.f64 eps x))))) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x))))))) (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (.f64 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))))) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)))))))
(/.f64 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (+.f64 -1 (cos.f64 (+.f64 eps x))))) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (+.f64 -1 (cos.f64 (+.f64 eps x)))))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (.f64 (+.f64 -1 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))))) (.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 -1 (cos.f64 (+.f64 eps x))))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)) -2) (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (-.f64 4 (*.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 (+.f64 x eps)) -1)) -2)))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))) (.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (-.f64 (.f64 (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))) (.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1))) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) -1)))) (+.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) -1))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))) (+.f64 -1 (cos.f64 (+.f64 eps x))))) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) (neg.f64 (-.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (.f64 (+.f64 -1 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 (+.f64 eps x)))))) (.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 -1 (cos.f64 (+.f64 eps x))))) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 -1 (cos.f64 (+.f64 eps x))))))
(pow.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) 1)
(-.f64 1 (cos.f64 (+.f64 eps x)))
(neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(if (!=.f64 1 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(if (!=.f64 (-.f64 -1 (cos.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 (-.f64 -1 (cos.f64 (+.f64 eps x))) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (+.f64 1 (cos.f64 (+.f64 eps x)))) (-.f64 1 (cos.f64 (+.f64 eps x))))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(if (!=.f64 (+.f64 -1 (cos.f64 (+.f64 eps x))) 0) (+.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 0 (-.f64 1 (cos.f64 (+.f64 eps x))))) (-.f64 1 (cos.f64 (+.f64 eps x))))
(if (!=.f64 (+.f64 -1 (cos.f64 (+.f64 eps x))) 0) (+.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 0 (+.f64 -1 (cos.f64 (+.f64 eps x))))) (-.f64 1 (cos.f64 (+.f64 eps x))))
(if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(if (!=.f64 -1 0) (-.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 1 (cos.f64 (+.f64 eps x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0)) 0) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 1 (cos.f64 (+.f64 eps x)))

localize74.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))
✓	0.3b	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))))
	1.7b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
✓	58.2b	(cos.f64 (/.f64 (PI.f64) 2))

Compiler

Compiled 146 to 62 computations (57.5% saved)

series16.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))
2.0ms	eps	@	inf	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))))
1.0ms	x	@	0	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))))
1.0ms	eps	@	inf	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))
1.0ms	x	@	inf	(.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`rational_best-simplify-61`
638×	`rational_best-simplify-65`
636×	`rational_best-simplify-96`
626×	`rational_best-simplify-117`
480×	`rational_best-simplify-111`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	58	87
2	306	85
3	1859	85

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

Inputs

(cos.f64 (/.f64 (PI.f64) 2))

(*.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))))

(*.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))

Outputs

()

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))) (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (*.f64 (sin.f64 0) (sin.f64 (+.f64 (/.f64 (PI.f64) 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (*.f64 (cos.f64 0) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps)))) (*.f64 (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (+.f64 (sin.f64 eps) (sin.f64 eps))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))) (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) (*.f64 (sin.f64 eps) (cos.f64 0))))) (-.f64 1 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 0 (*.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))))) 0) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (-.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) (*.f64 (sin.f64 eps) (cos.f64 0))))) (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0)))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (*.f64 (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))))) (*.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 0)))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational_best-simplify-52`
836×	`rational_best-simplify-1`
828×	`rational_best-simplify-53`
640×	`rational_best-simplify-21`
624×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	4251
1	1024	4021
2	5908	3741

Stop Event

1×	node limit

Counts

77 → 104

Calls

Call 1

Inputs
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(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps))))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps))))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps))))
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(/.f64 (*.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) -1)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2))) -2)
(/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))) (-.f64 1 (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2))))
(neg.f64 (*.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))
(if (!=.f64 0 0) (/.f64 (-.f64 0 (.f64 0 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))) 0) (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))
(if (!=.f64 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) 0) (/.f64 (-.f64 0 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))) (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2))) (.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))
(if (!=.f64 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) 0) (/.f64 (.f64 (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)) (.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2))) (.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2))) (.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))) 0)
(-.f64 0 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))))
(-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))) 0)
(-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))) (.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (.f64 (sin.f64 0) (sin.f64 (+.f64 (/.f64 (PI.f64) 2) x)))))
(-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 x))) (.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 0))) (.f64 (cos.f64 0) (sin.f64 x))))
(-.f64 (.f64 (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps)))) (.f64 (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 eps)))))
(/.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) -1)
(/.f64 (+.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0)))) -2)
(/.f64 (*.f64 (+.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) 4)
(/.f64 (*.f64 (-.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (+.f64 (sin.f64 eps) (sin.f64 eps))) 4)
(/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 eps) (cos.f64 0))))) (-.f64 1 (.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))))))
(neg.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))))
(if (!=.f64 0 0) (/.f64 (-.f64 0 (.f64 0 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))))) 0) (.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))
(if (!=.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (-.f64 0 (.f64 (sin.f64 (neg.f64 x)) (.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 eps) (cos.f64 0))))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0)))) (.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))
(if (!=.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x)))))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0)))) (.f64 (sin.f64 eps) (*.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))

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

eval703.0ms (4.6%)

Compiler: Compiled 45708 to 19957 computations (56.3% saved)

prune365.0ms (2.4%)

Pruning

65 alts after pruning (63 fresh and 2 done)

	Pruned	Kept	Total
New	940	30	970
Fresh	10	33	43
Picked	1	0	1
Done	4	2	6
Total	955	65	1020

Error

0.1b

Counts

1020 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	16.8b	(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) 0) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
	40.5b	(if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
	46.4b	(if (!=.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x))) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x)))
	24.1b	(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 0) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2)))) 4) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.1b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	39.5b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (.f64 eps (.f64 (sin.f64 x) (*.f64 -2 (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	40.3b	(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 eps)))) 0)
	16.8b	(if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
	16.7b	(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 0) (/.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
	6.7b	(if (!=.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (cos.f64 eps) -1))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
	40.3b	(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
	40.3b	(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
	40.3b	(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
	29.1b	(-.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	45.5b	(-.f64 (/.f64 (-.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.7b	(-.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))) 1))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	39.2b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
	41.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) 1)
	22.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	6.6b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.8b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	56.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.2b	(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
	39.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.3b	(-.f64 (cos.f64 eps) 1)
	24.0b	(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
	13.8b	(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	14.1b	(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	6.6b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (if (!=.f64 (cos.f64 eps) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
▶	6.6b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	6.7b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	6.7b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) 1)))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	13.8b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (neg.f64 (sin.f64 eps)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	6.7b	(+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) (-.f64 -1 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)))) (+.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
▶	38.4b	(+.f64 (-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	54.6b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 x))
	39.3b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
	16.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
	20.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (if (!=.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (-.f64 0 (.f64 (sin.f64 (neg.f64 x)) (.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 eps) (cos.f64 0))))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0)))) (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))
	13.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (neg.f64 x))))))
	13.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 (sin.f64 eps))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	28.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
	37.4b	(+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	35.6b	(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	32.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
	22.0b	(+.f64 (-.f64 (cos.f64 eps) 1) (.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 x)) 0) (sin.f64 x)) (sin.f64 x)) (neg.f64 (sin.f64 eps))))
	41.4b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)) (neg.f64 (sin.f64 eps))))
▶	34.3b	(+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	13.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	32.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (neg.f64 (sin.f64 x))))
▶	37.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 x (sin.f64 eps))))
	33.8b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	47.6b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	51.9b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.4b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
	40.5b	(+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps)))
	39.5b	(*.f64 (sin.f64 x) (neg.f64 eps))
	53.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
	39.4b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	53.4b	(*.f64 eps (neg.f64 x))
▶	51.5b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 4280 to 2327 computations (45.6% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
✓	0.2b	(pow.f64 (cos.f64 x) 2)
	1.6b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 125 to 57 computations (54.4% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`rational_best-simplify-61`
762×	`rational_best-simplify-113`
756×	`rational_best-simplify-65`
748×	`rational_best-simplify-96`
686×	`rational_best-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	110
1	63	106
2	342	106
3	2171	106

Stop Event

1×	node limit

Counts

2 → 15

Calls

Call 1

Inputs

(pow.f64 (cos.f64 x) 2)

(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 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simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

794×	`rational_best-simplify-65`
772×	`rational_best-simplify-61`
744×	`rational_best-simplify-96`
696×	`rational_best-simplify-111`
620×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	2757
1	450	2707
2	2581	2607

Stop Event

1×	node limit

Counts

43 → 57

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
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(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 x (sin.f64 eps))))
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(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (.f64 -1 (.f64 eps (sin.f64 x))))
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(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
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(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
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(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
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(-.f64 0 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(.f64 -1 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)
(/.f64 (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(/.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)
(/.f64 (+.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) -2)
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(if (!=.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(if (!=.f64 (neg.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (.f64 (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
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(if (!=.f64 (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
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Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (-.f64 (.f64 -2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
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(+.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps))))
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(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 0 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 -1 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (+.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) -2)
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(neg.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (neg.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (.f64 (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 0) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (!=.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (/.f64 (.f64 (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (cos.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite17.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 0

Calls

Call 1

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

Outputs
()

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 17 computations (61.4% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`rational_best-simplify-1`
602×	`rational_best-simplify-18`
592×	`rational_best-simplify-20`
408×	`rational_best-simplify-127`
404×	`rational_best-simplify-124`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	37	69
2	197	69
3	1140	69
4	7342	69

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

498×	`rational_best-simplify-126`
496×	`rational_best-simplify-124`
482×	`rational_best-simplify-65`
480×	`rational_best-simplify-127`
448×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	260	3982
1	1431	3742

Stop Event

1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.1b	(.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
✓	1.2b	(-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))

Compiler

Compiled 85 to 42 computations (50.6% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`rational_best-simplify-113`
510×	`rational_best-simplify-111`
488×	`rational_best-simplify-124`
480×	`rational_best-simplify-126`
426×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	45	79
2	202	75
3	1279	75

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

()

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational_best-simplify-1`
612×	`rational_best-simplify-21`
606×	`rational_best-simplify-18`
602×	`rational_best-simplify-20`
428×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	185	3872
1	1032	3680
2	6819	3680

Stop Event

1×	node limit

Counts

88 → 84

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/1440 (pow.f64 x 2)) 1/720)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 6))))) 1)
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)) 0))
(+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0))
(+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 0)
(+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 0 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 0 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)) (cos.f64 eps))
(.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)
(.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)
(.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)
(/.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) -1)
(/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) -2)
(/.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1))
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) (+.f64 (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1) (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))) (-.f64 1 (.f64 1 (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) (.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))))) (-.f64 4 (.f64 -2 (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1) (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) (.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))))) (-.f64 (.f64 (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1) (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1)) (.f64 (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1) (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 -1 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))))))
(pow.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) 0) (/.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) 0) (/.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 0) (/.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 0)) 0) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (.f64 -1/2 (pow.f64 x 2)) 0))
(-.f64 0 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) 0) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(/.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)) -1)
(neg.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -1/2)) 1)) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (+.f64 -1/2 (*.f64 (pow.f64 x 2) 1/4))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 2) 1/4) -1/2))) (.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 (pow.f64 x 2) 1/4))) (+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 (pow.f64 x 2) 1/4))) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 (pow.f64 x 2) -1/48))) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/1440 (pow.f64 x 2)) 1/720)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 (pow.f64 x 2) -1/48))) (+.f64 (.f64 (pow.f64 eps 6) (+.f64 (.f64 (pow.f64 x 2) 1/1440) -1/720)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -1/2)) 1)))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 (pow.f64 x 2) -1/48))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 (pow.f64 x 2) 1/4))) (.f64 (pow.f64 eps 6) (+.f64 (*.f64 (pow.f64 x 2) 1/1440) -1/720)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))) -1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (*.f64 -1/24 (pow.f64 x 4)))) -1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 1/720 (pow.f64 x 6))) (+.f64 (cos.f64 eps) (.f64 -1/24 (pow.f64 x 4)))) -1)
(+.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6))) (cos.f64 eps))) -1)
(+.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6))))) -1)
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))
(.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))
(.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(*.f64 -1/2 (pow.f64 x 2))
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(if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(if (!=.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) 0) (/.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) 0) (/.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) 0) (/.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 eps) (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))) 0) (/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))) (.f64 (cos.f64 eps) (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(if (!=.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 0) (/.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 0)) 0) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps)))) (cos.f64 x))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(if (!=.f64 (-.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (cos.f64 eps) (-.f64 -1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (cos.f64 eps) (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) 0)
(.f64 (cos.f64 eps) (neg.f64 (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (.f64 -1/2 (pow.f64 x 2)) 0))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) 0)
(.f64 (cos.f64 eps) (neg.f64 (.f64 (pow.f64 x 2) 1/2)))
(-.f64 0 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) 0)
(.f64 (cos.f64 eps) (neg.f64 (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) 0) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) 0)
(.f64 (cos.f64 eps) (neg.f64 (.f64 (pow.f64 x 2) 1/2)))
(/.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) 0)
(.f64 (cos.f64 eps) (neg.f64 (.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) 0)
(.f64 (cos.f64 eps) (neg.f64 (.f64 (pow.f64 x 2) 1/2)))

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 eps 2) (cos.f64 x))
✓	0.1b	(.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
✓	25.5b	(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))

Compiler

Compiled 215 to 130 computations (39.5% saved)

series11.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
1.0ms	x	@	-inf	(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
1.0ms	x	@	0	(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
1.0ms	eps	@	inf	(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
1.0ms	x	@	inf	(.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational_best-simplify-61`
1066×	`rational_best-simplify-52`
1010×	`rational_best-simplify-65`
808×	`rational_best-simplify-53`
734×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	119
1	54	119
2	147	119
3	630	119
4	3993	119

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

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

(*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))

(*.f64 (pow.f64 eps 2) (cos.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 6) 1/720)) (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) -1/720)) (+.f64 (*.f64 (pow.f64 eps 8) (*.f64 (cos.f64 x) -1/40320)) (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 6) 1/720)) (*.f64 (pow.f64 eps 8) (*.f64 (cos.f64 x) -1/40320))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) -1/720)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 eps 8) (*.f64 (cos.f64 x) -1/40320)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) 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()

()

simplify157.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best-simplify-1`
906×	`rational_best-simplify-52`
772×	`rational_best-simplify-53`
640×	`rational_best-simplify-21`
636×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	7806
1	941	7806
2	5515	7698

Stop Event

1×	node limit

Counts

90 → 117

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.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 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))) (pow.f64 x 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 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/17280 (pow.f64 eps 6)) (+.f64 (.f64 1/967680 (pow.f64 eps 8)) (.f64 -1/48 (pow.f64 eps 2)))) (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/518400 (pow.f64 eps 6)) (+.f64 (.f64 1/1440 (pow.f64 eps 2)) (.f64 -1/29030400 (pow.f64 eps 8)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/17280 (pow.f64 eps 6)) (+.f64 (.f64 1/967680 (pow.f64 eps 8)) (.f64 -1/48 (pow.f64 eps 2)))) (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/17280 (.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))
(.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))
(.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))
(.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))
(.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4)))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(-.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))
(-.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))
(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)))
(-.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) 0)
(-.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)))
(-.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720))) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))
(-.f64 0 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))))
(.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(.f64 -1 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))))
(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))) -1)
(/.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) 1)
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) -1)
(/.f64 (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))) -2)
(/.f64 (-.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))))) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))) 1))
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(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720))))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
(.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))))
(-.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
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(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
(.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))))
(-.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
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(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
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(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
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(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/17280 (pow.f64 eps 6)) (+.f64 (.f64 1/967680 (pow.f64 eps 8)) (.f64 -1/48 (pow.f64 eps 2)))) (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))))
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(+.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 (.f64 (+.f64 (.f64 (pow.f64 eps 6) 1/1440) (+.f64 (.f64 (pow.f64 eps 2) 1/4) (.f64 (pow.f64 eps 8) -1/80640))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/17280) (+.f64 (.f64 (pow.f64 eps 8) 1/967680) (*.f64 (pow.f64 eps 2) -1/48))) (pow.f64 x 4)))))
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(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/518400 (pow.f64 eps 6)) (+.f64 (.f64 1/1440 (pow.f64 eps 2)) (.f64 -1/29030400 (pow.f64 eps 8)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/17280 (pow.f64 eps 6)) (+.f64 (.f64 1/967680 (pow.f64 eps 8)) (.f64 -1/48 (pow.f64 eps 2)))) (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) 1/4) (+.f64 (.f64 (pow.f64 eps 8) -1/80640) (.f64 (pow.f64 eps 6) 1/1440))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (pow.f64 eps 8) 1/967680) (+.f64 (.f64 (pow.f64 eps 2) -1/48) (.f64 (pow.f64 eps 6) -1/17280))) (pow.f64 x 4)))) (.f64 (+.f64 (.f64 (pow.f64 eps 6) 1/518400) (+.f64 (.f64 (pow.f64 eps 2) 1/1440) (*.f64 (pow.f64 eps 8) -1/29030400))) (pow.f64 x 6))))
(+.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 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 6) 1/1440) (+.f64 (.f64 (pow.f64 eps 2) 1/4) (.f64 (pow.f64 eps 8) -1/80640))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/17280) (+.f64 (.f64 (pow.f64 eps 8) 1/967680) (.f64 (pow.f64 eps 2) -1/48))) (pow.f64 x 4))) (.f64 (+.f64 (.f64 (pow.f64 eps 6) 1/518400) (+.f64 (.f64 (pow.f64 eps 2) 1/1440) (*.f64 (pow.f64 eps 8) -1/29030400))) (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 6) 1/1440) (+.f64 (.f64 (pow.f64 eps 2) 1/4) (.f64 (pow.f64 eps 8) -1/80640))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 6) 1/518400) (+.f64 (.f64 (pow.f64 eps 2) 1/1440) (.f64 (pow.f64 eps 8) -1/29030400))) (pow.f64 x 6)) (+.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 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 eps 6) 1/17280) (+.f64 (.f64 (pow.f64 eps 8) 1/967680) (*.f64 (pow.f64 eps 2) -1/48))))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
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(+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
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(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
(+.f64 (.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
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(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) 0) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))) (+.f64 (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))) (.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320)))) (.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320)))) (.f64 (cos.f64 x) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))) (.f64 -1/720 (pow.f64 eps 6))))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(if (!=.f64 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8)))) 0) (/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) 1/720)))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (.f64 (pow.f64 eps 8) (.f64 (cos.f64 x) -1/40320))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720))))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) -1/720)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 6) 1/720)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6)))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))))) (.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6)))))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 8) -1/40320))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6)))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))))) (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 -1/2 (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/720 (pow.f64 eps 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(if (!=.f64 (-.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)) (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8)))) 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)) (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8)))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))))) (-.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))) (+.f64 (.f64 (cos.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) 1/720)))))

eval488.0ms (3.2%)

Compiler: Compiled 27382 to 15132 computations (44.7% saved)

prune244.0ms (1.6%)

Pruning

65 alts after pruning (61 fresh and 4 done)

	Pruned	Kept	Total
New	611	7	618
Fresh	4	54	58
Picked	0	1	1
Done	3	3	6
Total	618	65	683

Error

0.1b

Counts

683 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	16.8b	(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) 0) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
	40.5b	(if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
	46.4b	(if (!=.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x))) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x)))
	24.1b	(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 0) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2)))) 4) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.0b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	41.1b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	39.5b	(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (.f64 eps (.f64 (sin.f64 x) (*.f64 -2 (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	40.3b	(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 eps)))) 0)
	16.8b	(if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
	16.7b	(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 0) (/.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
	6.7b	(if (!=.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (cos.f64 eps) -1))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
	40.3b	(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
	40.3b	(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
	40.3b	(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
	6.6b	(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	29.1b	(-.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	45.5b	(-.f64 (/.f64 (-.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.7b	(-.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))) 1))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	39.2b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
	41.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) 1)
	22.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	6.6b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	37.8b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) x))
	32.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 eps (sin.f64 x)))
	23.8b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	56.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.2b	(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
	39.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.3b	(-.f64 (cos.f64 eps) 1)
	24.0b	(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
	13.8b	(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	14.1b	(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	37.8b	(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) 1))) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (neg.f64 (.f64 x (sin.f64 eps))))
	6.6b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (if (!=.f64 (cos.f64 eps) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	13.8b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (neg.f64 (sin.f64 eps)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	6.7b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	6.7b	(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) 1)))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	6.7b	(+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) (-.f64 -1 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)))) (+.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	38.5b	(+.f64 (-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
	54.6b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 x))
	39.3b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
	16.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
	20.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (if (!=.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (-.f64 0 (.f64 (sin.f64 (neg.f64 x)) (.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 eps) (cos.f64 0))))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0)))) (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))
	13.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (neg.f64 x))))))
	13.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 (sin.f64 eps))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	28.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
	37.4b	(+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	35.6b	(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	32.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
	22.0b	(+.f64 (-.f64 (cos.f64 eps) 1) (.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 x)) 0) (sin.f64 x)) (sin.f64 x)) (neg.f64 (sin.f64 eps))))
	41.4b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)) (neg.f64 (sin.f64 eps))))
✓	34.3b	(+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	13.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
	33.8b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	47.6b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	51.9b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.4b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
	40.5b	(+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps)))
	39.5b	(*.f64 (sin.f64 x) (neg.f64 eps))
	53.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
	39.4b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	53.4b	(*.f64 eps (neg.f64 x))
✓	51.5b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 2099 to 1168 computations (44.4% saved)

regimes459.0ms (3%)

Counts

95 → 3

Calls

Call 1

Inputs
(*.f64 eps (neg.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) 1)
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(if (!=.f64 (+.f64 (cos.f64 eps) -1) 0) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 eps)))) 0)
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) x))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 x (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 2 (cos.f64 eps))) (-.f64 2 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
(+.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 x))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(if (!=.f64 (cos.f64 eps) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)) (neg.f64 (sin.f64 eps))))
(if (!=.f64 (-.f64 -1 (cos.f64 eps)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps)))
(-.f64 (/.f64 (-.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 eps) (-.f64 1 (cos.f64 eps))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))) 1))
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 (cos.f64 eps) 1) (.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 x)) 0) (sin.f64 x)) (sin.f64 x)) (neg.f64 (sin.f64 eps))))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (.f64 eps (.f64 (sin.f64 x) (*.f64 -2 (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (.f64 (-.f64 1 (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) (-.f64 -1 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)))) (+.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (-.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 (cos.f64 eps) -2) (-.f64 2 (cos.f64 eps)))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (neg.f64 x))))))
(+.f64 (-.f64 (cos.f64 eps) 1) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (neg.f64 (sin.f64 eps))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 0) (/.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (if (!=.f64 (cos.f64 eps) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (if (!=.f64 (cos.f64 eps) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(if (!=.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (cos.f64 eps) -1))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -2) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (cos.f64 eps) -2) (*.f64 (+.f64 2 (neg.f64 (cos.f64 eps))) (+.f64 (cos.f64 eps) -2))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) 1)))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (if (!=.f64 (cos.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (neg.f64 (sin.f64 eps)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(+.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (neg.f64 (sin.f64 eps)) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) 1))) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (neg.f64 (.f64 x (sin.f64 eps))))
(+.f64 (if (!=.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps)))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (if (!=.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x))) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (+.f64 (cos.f64 (+.f64 x eps)) -1)) (cos.f64 x)))
(if (!=.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) 0) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 eps)) -1)) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(-.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) 0) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 eps))) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(+.f64 (if (!=.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (neg.f64 (sin.f64 eps)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(-.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (if (!=.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) 0) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2))) (+.f64 1 (cos.f64 (.f64 (+.f64 x eps) 2)))) 4) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (if (!=.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) 0) (/.f64 (-.f64 0 (.f64 (sin.f64 (neg.f64 x)) (.f64 (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0))) (.f64 (sin.f64 eps) (cos.f64 0))))) (.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 eps) (cos.f64 0)))) (.f64 (sin.f64 eps) (.f64 (cos.f64 0) (neg.f64 (sin.f64 (neg.f64 x))))))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0) (/.f64 (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))))) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (-.f64 (.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1)) (.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))) (-.f64 (.f64 (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)) (+.f64 (cos.f64 eps) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))) (.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) (.f64 (+.f64 (cos.f64 eps) -2) (+.f64 (cos.f64 eps) -2))))))

Outputs

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

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

(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))

Calls

3 calls:

175.0ms	eps
162.0ms	x
67.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.5b	3	`x`
0.5b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 3138 to 1099 computations (65% saved)

bsearch83.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.029694018220123967	147.35949023682736
50.0ms	-11.500426879368142	-5.260692712893624e-10

Results

32.0ms	63×	body	1024	valid
23.0ms	172×	body	256	valid
16.0ms	51×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 1266 to 872 computations (31.1% saved)

regimes258.0ms (1.7%)

Counts

69 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (sin.f64 eps)))

Calls

3 calls:

102.0ms	eps
99.0ms	x
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.5b	3	`x`
0.5b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1374 to 521 computations (62.1% saved)

bsearch84.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	3.4977912905029634e-9	0.029694018220123967
47.0ms	-11.500426879368142	-5.260692712893624e-10

Results

32.0ms	184×	body	256	valid
28.0ms	66×	body	1024	valid
15.0ms	50×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 813 to 565 computations (30.5% saved)

regimes190.0ms (1.3%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

74.0ms	eps
73.0ms	x
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.5b	3	`x`
0.5b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 713 to 273 computations (61.7% saved)

bsearch76.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	3.4977912905029634e-9	0.029694018220123967
40.0ms	-11.500426879368142	-5.260692712893624e-10

Results

31.0ms	186×	body	256	valid
27.0ms	70×	body	1024	valid
12.0ms	47×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 651 to 475 computations (27% saved)

regimes138.0ms (0.9%)

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

56.0ms	eps
52.0ms	x
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.5b	3	`x`
0.5b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 441 to 183 computations (58.5% saved)

bsearch76.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	3.4977912905029634e-9	0.029694018220123967
40.0ms	-11.500426879368142	-5.260692712893624e-10

Results

29.0ms	64×	body	1024	valid
24.0ms	178×	body	256	valid
15.0ms	57×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 651 to 475 computations (27% saved)

regimes122.0ms (0.8%)

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

51.0ms	eps
51.0ms	x
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.5b	3	`x`
0.5b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 427 to 181 computations (57.6% saved)

bsearch73.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	3.4977912905029634e-9	0.029694018220123967
37.0ms	-11.500426879368142	-5.260692712893624e-10

Results

30.0ms	72×	body	1024	valid
25.0ms	186×	body	256	valid
10.0ms	40×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 641 to 485 computations (24.3% saved)

regimes112.0ms (0.7%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

43.0ms	x
41.0ms	eps
22.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.9b	3	`x`
15.6b	3	`eps`
17.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 308 to 128 computations (58.4% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.029694018220123967	147.35949023682736
35.0ms	-11.500426879368142	-5.260692712893624e-10

Results

24.0ms	67×	body	1024	valid
23.0ms	175×	body	256	valid
12.0ms	43×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 590 to 442 computations (25.1% saved)

regimes101.0ms (0.7%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

39.0ms	x
38.0ms	eps
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.9b	3	`x`
15.6b	3	`eps`
17.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 284 to 125 computations (56% saved)

bsearch70.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.029694018220123967	147.35949023682736
39.0ms	-11.500426879368142	-5.260692712893624e-10

Results

28.0ms	70×	body	1024	valid
24.0ms	172×	body	256	valid
12.0ms	43×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 590 to 442 computations (25.1% saved)

regimes98.0ms (0.6%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
37.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.9b	3	`x`
15.9b	3	`eps`
17.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 260 to 123 computations (52.7% saved)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.029694018220123967	147.35949023682736
37.0ms	-11.500426879368142	-5.260692712893624e-10

Results

29.0ms	70×	body	1024	valid
24.0ms	167×	body	256	valid
12.0ms	50×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 524 to 404 computations (22.9% saved)

regimes147.0ms (1%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

3 calls:

98.0ms	eps
34.0ms	x
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.9b	3	`x`
18.7b	5	`eps`
22.0b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 232 to 109 computations (53% saved)

bsearch185.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	4.029562056041653e-57	4.792110646743282e-56
47.0ms	1.3043859454996803e-141	5.344985274743394e-141
66.0ms	-6.726087647414808e-102	-1.0328683775319599e-107
40.0ms	-11.500426879368142	-5.260692712893624e-10

Results

104.0ms	245×	body	1024	valid
33.0ms	48×	body	2048	valid
26.0ms	104×	body	512	valid
14.0ms	99×	body	256	valid

Compiler

Compiled 790 to 610 computations (22.8% saved)

regimes119.0ms (0.8%)

Counts

18 → 6

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	eps
49.0ms	x
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.1b	5	`x`
18.7b	6	`eps`
23.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 151 to 79 computations (47.7% saved)

bsearch213.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
30.0ms	1.4691671663287144e-12	3.4977912905029634e-9
31.0ms	4.029562056041653e-57	4.792110646743282e-56
45.0ms	1.3043859454996803e-141	5.344985274743394e-141
65.0ms	-6.726087647414808e-102	-1.0328683775319599e-107
42.0ms	-11.500426879368142	-5.260692712893624e-10

Results

112.0ms	277×	body	1024	valid
35.0ms	54×	body	2048	valid
29.0ms	120×	body	512	valid
27.0ms	173×	body	256	valid

Compiler

Compiled 853 to 654 computations (23.3% saved)

regimes111.0ms (0.7%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	eps
47.0ms	x
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.1b	5	`x`
18.9b	6	`eps`
23.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 141 to 75 computations (46.8% saved)

bsearch206.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
30.0ms	0.029694018220123967	147.35949023682736
33.0ms	4.029562056041653e-57	4.792110646743282e-56
44.0ms	1.3043859454996803e-141	5.344985274743394e-141
63.0ms	-6.726087647414808e-102	-1.0328683775319599e-107
36.0ms	-11.500426879368142	-5.260692712893624e-10

Results

107.0ms	271×	body	1024	valid
35.0ms	55×	body	2048	valid
31.0ms	117×	body	512	valid
24.0ms	181×	body	256	valid

Compiler

Compiled 829 to 638 computations (23% saved)

regimes59.0ms (0.4%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	eps
25.0ms	x

Results

Error	Segments	Branch
25.1b	5	`x`
19.1b	6	`eps`

Compiler

Compiled 56 to 30 computations (46.4% saved)

bsearch208.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
29.0ms	0.029694018220123967	147.35949023682736
31.0ms	4.029562056041653e-57	4.792110646743282e-56
47.0ms	1.3043859454996803e-141	5.344985274743394e-141
63.0ms	-6.726087647414808e-102	-1.0328683775319599e-107
38.0ms	-11.500426879368142	-5.260692712893624e-10

Results

100.0ms	260×	body	1024	valid
45.0ms	68×	body	2048	valid
31.0ms	127×	body	512	valid
24.0ms	169×	body	256	valid

Compiler

Compiled 793 to 602 computations (24.1% saved)

regimes51.0ms (0.3%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	eps
22.0ms	x

Results

Error	Segments	Branch
25.1b	5	`x`
19.7b	6	`eps`

Compiler

Compiled 46 to 27 computations (41.3% saved)

bsearch202.0ms (1.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
30.0ms	0.029694018220123967	147.35949023682736
31.0ms	4.029562056041653e-57	4.792110646743282e-56
41.0ms	1.3043859454996803e-141	5.344985274743394e-141
62.0ms	-6.726087647414808e-102	-1.0328683775319599e-107
37.0ms	-11.500426879368142	-5.260692712893624e-10

Results

109.0ms	282×	body	1024	valid
30.0ms	121×	body	512	valid
29.0ms	46×	body	2048	valid
25.0ms	175×	body	256	valid

Compiler

Compiled 775 to 602 computations (22.3% saved)

regimes40.0ms (0.3%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	eps
12.0ms	x

Results

Error	Segments	Branch
26.9b	3	`x`
20.4b	6	`eps`

Compiler

Compiled 36 to 22 computations (38.9% saved)

bsearch206.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
29.0ms	0.029694018220123967	147.35949023682736
35.0ms	1.5349488821064384e-36	1.3867652752562755e-34
42.0ms	1.3043859454996803e-141	5.344985274743394e-141
62.0ms	-1.5674330203181972e-76	-4.4257981786323725e-82
38.0ms	-11.500426879368142	-5.260692712893624e-10

Results

108.0ms	273×	body	1024	valid
35.0ms	142×	body	512	valid
31.0ms	51×	body	2048	valid
23.0ms	174×	body	256	valid

Compiler

Compiled 636 to 522 computations (17.9% saved)

regimes26.0ms (0.2%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
39.0b	3	`x`
31.4b	5	`eps`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch149.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	0.029694018220123967	147.35949023682736
53.0ms	9.60306434609207e-150	5.7226236294643036e-149
29.0ms	-4.004307341476616e-138	-2.439048118307889e-138
38.0ms	-11.500426879368142	-5.260692712893624e-10

Results

65.0ms	163×	body	1024	valid
43.0ms	66×	body	2048	valid
25.0ms	180×	body	256	valid
10.0ms	39×	body	512	valid

Compiler

Compiled 434 to 364 computations (16.1% saved)

regimes18.0ms (0.1%)

Accuracy

Total -20.9b remaining (-57.2%)

Threshold costs -20.9b (-57.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
39.0b	3	`x`
36.5b	3	`eps`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	5.416947302897222e-32	5.4030316922624404e-30
35.0ms	-5.260692712893624e-10	-5.0082566278118305e-17

Results

25.0ms	102×	body	512	valid
24.0ms	65×	body	1024	valid
12.0ms	86×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 238 to 186 computations (21.8% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2453

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -7566047373982433/72057594037927936) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3602879701896397/36028797018963968) (+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -4574792530279969/147573952589676412928) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 2176715800697727/36893488147419103232) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -5902958103587057/147573952589676412928) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6640827866535439/147573952589676412928) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -2508757194024499/147573952589676412928) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1770887431076117/36893488147419103232) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -7378697629483821/147573952589676412928) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5460236245818027/147573952589676412928) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -3458764513820541/288230376151711744) (+.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps)) (if (<=.f64 eps 1062849512059437/18014398509481984) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -1152921504606847/36028797018963968) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3458764513820541/576460752303423488) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -6124319032471571/36893488147419103232) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps -2319990124843707/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8924236958169793/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(if (<=.f64 eps -8854437155380585/73786976294838206464) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps -6556493831080041/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8409377133659997/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 6007280020246507/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8341588155340941/2417851639229258349412352) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (+.f64 1 (.f64 (sin.f64 x) (sin.f64 eps)))))))))
(if (<=.f64 eps -7378697629483821/73786976294838206464) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps -378259259485387/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 1678504711539465/220855883097298041197912187592864814478435487109452369765200775161577472) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(if (<=.f64 eps -4980620899901579/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -7060839510393891/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5742252960529749/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))))))
(if (<=.f64 eps -7673845534663173/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3873374817130363/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8409377133659997/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1))))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5051849221309525/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 315684353663475/11692013098647223345629478661730264157247460343808) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1))))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -8379879956214123/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 7371020360979573/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 1080863910568919/36028797018963968) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -7737125245533627/19342813113834066795298816) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6279889847906223/11417981541647679048466287755595961091061972992) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))

Outputs
(if (<=.f64 eps -7566047373982433/72057594037927936) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3602879701896397/36028797018963968) (+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -4574792530279969/147573952589676412928) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 2176715800697727/36893488147419103232) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -5902958103587057/147573952589676412928) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6640827866535439/147573952589676412928) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -2508757194024499/147573952589676412928) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1770887431076117/36893488147419103232) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -7378697629483821/147573952589676412928) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5460236245818027/147573952589676412928) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -3458764513820541/288230376151711744) (+.f64 (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps)) (if (<=.f64 eps 1062849512059437/18014398509481984) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -1152921504606847/36028797018963968) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3458764513820541/576460752303423488) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -6124319032471571/36893488147419103232) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps -2319990124843707/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8924236958169793/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(if (<=.f64 eps -8854437155380585/73786976294838206464) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps -6556493831080041/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8409377133659997/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 6007280020246507/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8341588155340941/2417851639229258349412352) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (+.f64 1 (.f64 (sin.f64 x) (sin.f64 eps)))))))))
(if (<=.f64 eps -7378697629483821/73786976294838206464) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (if (<=.f64 eps -378259259485387/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 1678504711539465/220855883097298041197912187592864814478435487109452369765200775161577472) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(if (<=.f64 eps -4980620899901579/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -7060839510393891/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5742252960529749/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))))))
(if (<=.f64 eps -7673845534663173/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3873374817130363/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8409377133659997/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1))))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5051849221309525/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 315684353663475/11692013098647223345629478661730264157247460343808) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1))))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -8379879956214123/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 7371020360979573/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 1080863910568919/36028797018963968) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -7737125245533627/19342813113834066795298816) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6279889847906223/11417981541647679048466287755595961091061972992) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))

Compiler

Compiled 895 to 531 computations (40.7% saved)

soundness66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`rational_best-simplify-124`
672×	`rational_best-simplify-62`
664×	`rational_best-simplify-65`
612×	`rational_best-simplify-61`
550×	`rational_best-simplify-96`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	367	5918
1	1965	4872

Stop Event

1×	node limit

Compiler

Compiled 174 to 68 computations (60.9% saved)

end240.0ms (1.6%)

Compiler: Compiled 863 to 393 computations (54.5% saved)