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)

sample5.3s (45.2%)

Results

2.9s	3656×	body	1024	valid
1.4s	1218×	body	2048	valid
591.0ms	1454×	body	512	valid
480.0ms	1927×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess60.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1226×	`rational_best-simplify-61`
1210×	`rational_best-simplify-65`
812×	`rational_best-simplify-3`
788×	`rational_best-simplify-62`
558×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	86	42
2	511	42
3	3506	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

778×	`rational_best-simplify-96`
772×	`rational_best-simplify-117`
714×	`rational_best-simplify-61`
688×	`rational_best-simplify-65`
680×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	50	21
2	295	21
3	2042	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

37.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.6b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`rational_best-simplify-96`
772×	`rational_best-simplify-117`
708×	`rational_best-simplify-61`
688×	`rational_best-simplify-65`
680×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	50	37
2	295	37
3	2042	37

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

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

Outputs

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

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

((#(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 (neg.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 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))))))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

484×	`rational_best-simplify-124`
482×	`rational_best-simplify-126`
464×	`rational_best-simplify-127`
418×	`rational_best-simplify-61`
412×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	2345
1	1316	2345

Stop Event

1×	node limit

Counts

119 → 117

Calls

Call 1

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

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

eval26.0ms (0.2%)

Compiler: Compiled 2211 to 759 computations (65.7% saved)

prune33.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	100	17	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	18	118

Error

0.2b

Counts

118 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.f64 (if (!=.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
	22.0b	(-.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
	20.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	53.4b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))
	38.5b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	58.2b	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
▶	0.3b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
▶	20.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
▶	30.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	32.0b	(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1))))
	33.8b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
▶	33.6b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 591 to 340 computations (42.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 10 computations (77.3% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`rational_best-simplify-105`
622×	`rational_best-simplify-96`
618×	`rational_best-simplify-61`
610×	`rational_best-simplify-65`
610×	`rational_best-simplify-113`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	50	100
2	277	80
3	1727	76

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 0 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (-.f64 -1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

892×	`rational_best-simplify-61`
876×	`rational_best-simplify-65`
762×	`rational_best-simplify-62`
656×	`rational_best-simplify-96`
532×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	6417
1	2387	6401

Stop Event

1×	node limit

Counts

185 → 198

Calls

Call 1

Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(/.f64 (-.f64 (.f64 4 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (+.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (+.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (+.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))))) (-.f64 16 (*.f64 4 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (+.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))))))
(/.f64 (-.f64 (.f64 4 (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))) (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))))) (-.f64 16 (*.f64 4 (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))))))
(/.f64 (-.f64 (.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))))) (.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))))) (-.f64 (.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))))) (.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))))))
(/.f64 (-.f64 (.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))))) (.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))))) (-.f64 (.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))))) (.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 (+.f64 x (-.f64 eps (/.f64 (PI.f64) 2))))))))))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite15.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

Counts

1 → 0

Calls

Call 1

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

Outputs
()

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

948×	`rational_best-simplify-1`
810×	`rational_best-simplify-113`
704×	`rational_best-simplify-18`
498×	`rational_best-simplify-111`
422×	`rational_best-simplify-127`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	192
1	57	192
2	199	192
3	1076	180
4	7326	180

Stop Event

1×	node limit

Counts

8 → 14

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series4.0ms (0%)

Counts

3 → 15

Calls

15 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`rational_best-simplify-126`
470×	`rational_best-simplify-124`
468×	`rational_best-simplify-127`
448×	`rational_best-simplify-96`
434×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	46	55
2	216	55
3	1264	55

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 eps) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 0 (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)))) 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simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

710×	`rational_best-simplify-61`
698×	`rational_best-simplify-65`
646×	`rational_best-simplify-96`
628×	`rational_best-simplify-117`
508×	`rational_best-simplify-113`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	346	3244
1	2031	3168

Stop Event

1×	node limit

Counts

116 → 138

Calls

Call 1

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.0b	(-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))
✓	3.6b	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
✓	18.9b	(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))

Compiler

Compiled 40 to 20 computations (50% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Expression
1.0ms	eps	@	(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))
0.0ms	x	@	(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))
0.0ms	x	@	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
0.0ms	eps	@	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
0.0ms	x	@	(-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational_best-simplify-96`
1102×	`rational_best-simplify-61`
1080×	`rational_best-simplify-65`
732×	`rational_best-simplify-3`
696×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	74	53
2	454	53
3	3152	53

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))
(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
(-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))

Outputs

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

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

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

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

566×	`rational_best-simplify-126`
564×	`rational_best-simplify-124`
552×	`rational_best-simplify-127`
512×	`rational_best-simplify-61`
496×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	264	5339
1	1397	5165

Stop Event

1×	node limit

Counts

145 → 140

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 10 computations (77.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`rational_best-simplify-113`
692×	`rational_best-simplify-105`
640×	`rational_best-simplify-61`
638×	`rational_best-simplify-96`
632×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	50	70
2	281	50
3	1774	46

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best-simplify-1`
666×	`rational_best-simplify-21`
662×	`rational_best-simplify-18`
650×	`rational_best-simplify-20`
396×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	2918
1	1060	2900
2	6717	2900

Stop Event

1×	node limit

Counts

98 → 97

Calls

Call 1

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

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

eval402.0ms (3.4%)

Compiler: Compiled 23729 to 11732 computations (50.6% saved)

prune244.0ms (2.1%)

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	669	29	698
Fresh	3	9	12
Picked	0	1	1
Done	0	5	5
Total	672	44	716

Error

0.1b

Counts

716 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	21.9b	(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	22.0b	(-.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
	20.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	53.4b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	61.2b	(-.f64 (*.f64 x (cos.f64 eps)) x)
▶	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))
	38.5b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	61.3b	(-.f64 (cos.f64 (if (!=.f64 (+.f64 x eps) 0) (/.f64 (*.f64 (+.f64 x eps) (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (+.f64 x eps)) (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))) (sin.f64 x))
✓	58.2b	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
	59.2b	(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)) (sin.f64 x))
	58.1b	(-.f64 (cos.f64 (neg.f64 x)) (sin.f64 x))
	58.8b	(-.f64 (cos.f64 (neg.f64 eps)) (sin.f64 x))
▶	0.3b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	22.1b	(+.f64 (if (!=.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 0) (/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps)))
	0.5b	(+.f64 (if (!=.f64 (.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	22.1b	(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
▶	0.4b	(+.f64 (if (!=.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (cos.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
	28.4b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps)))) (.f64 (cos.f64 x) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
✓	0.3b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	28.1b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (sin.f64 eps))
✓	20.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	36.0b	(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
	16.2b	(+.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
▶	35.7b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	33.2b	(+.f64 (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (sin.f64 x) (pow.f64 eps 6)))) (+.f64 (.f64 1/40320 (.f64 (sin.f64 x) (pow.f64 eps 8))) (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	38.6b	(+.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (neg.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	33.8b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
	18.0b	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	30.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	0.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
	58.8b	(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	47.8b	(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.6b	(*.f64 (cos.f64 x) eps)
▶	29.2b	(sin.f64 eps)
	45.9b	eps

Compiler

Compiled 1854 to 970 computations (47.7% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	1.7b	(-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
	1.7b	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
✓	7.7b	(/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))

Compiler

Compiled 188 to 22 computations (88.3% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
2.0ms	x	@	-inf	(.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.0ms	eps	@	0	(.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`rational_best-simplify-96`
970×	`rational_best-simplify-61`
960×	`rational_best-simplify-65`
736×	`rational_best-simplify-3`
580×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	141
1	73	141
2	451	141
3	2937	105

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

502×	`rational_best-simplify-124`
494×	`rational_best-simplify-126`
486×	`rational_best-simplify-127`
460×	`rational_best-simplify-65`
448×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	307	7563
1	1438	6849

Stop Event

1×	node limit

Counts

147 → 174

Calls

Call 1

Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 eps)) x)
(+.f64 (.f64 (-.f64 1 (cos.f64 eps)) x) (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 1 (cos.f64 eps)) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))) (.f64 (-.f64 1/120 (.f64 1/120 (cos.f64 eps))) (pow.f64 x 5))))
(+.f64 (.f64 (-.f64 1 (cos.f64 eps)) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 1/5040 (.f64 -1/5040 (cos.f64 eps))) (pow.f64 x 7))) (.f64 (-.f64 1/120 (*.f64 1/120 (cos.f64 eps))) (pow.f64 x 5)))))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x)))))
(+.f64 (.f64 -1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))))))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 x 2)) (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 x 2)) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120)))) (pow.f64 x 6))))
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120))) (.f64 2 (.f64 (+.f64 1/5040 (.f64 -1/5040 (cos.f64 eps))) (-.f64 (cos.f64 eps) 1)))) (pow.f64 x 8)) (+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 x 2)) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120)))) (pow.f64 x 6)))))
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 (sin.f64 x) 2)) (*.f64 1/576 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 8))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 (sin.f64 x) 2)) (.f64 1/576 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 8)) (.f64 (+.f64 (.f64 -1/40320 (pow.f64 (sin.f64 x) 2)) (.f64 -1/8640 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 10)))))
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) 2)
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (neg.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 0 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (sin.f64 x))
(-.f64 (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 x)) (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))))
(.f64 (/.f64 -1 (/.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) -1)
(neg.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(neg.f64 (-.f64 (neg.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(if (!=.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 0) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (!=.f64 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))) (/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (!=.f64 (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (/.f64 (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (!=.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (/.f64 (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0)) (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) 0)
(+.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))
(.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) -1)
(.f64 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) 1)
(.f64 -1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(.f64 1 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 1 (neg.f64 (cos.f64 eps))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) -1)
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) 1)
(/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -2)
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) -4)
(/.f64 (-.f64 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(/.f64 (-.f64 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1))
(/.f64 (+.f64 (-.f64 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (+.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) 1)
(neg.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(if (!=.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 0) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 (sin.f64 x) 0) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 0) (/.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 0) (-.f64 (/.f64 0 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 (.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))) 0) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 0 0) (/.f64 0 0) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) 0) (/.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 (neg.f64 (sin.f64 x)) 0) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(if (!=.f64 -1 0) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))
(+.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0)
(+.f64 0 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))))
(+.f64 (.f64 (sin.f64 x) (sin.f64 x)) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(-.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0)
(-.f64 0 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))))
(-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps)))))))
(-.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1)
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 2)
(/.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))) -1)
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) -2)
(neg.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))))
(fabs.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(fabs.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (cos.f64 eps))))))
(if (!=.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (+.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(if (!=.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (/.f64 (.f64 (sin.f64 x) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(if (!=.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (/.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(if (!=.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 0) (/.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 0)
(if (!=.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (.f64 (sin.f64 x) (.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(if (!=.f64 0 0) (/.f64 0 0) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))

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

localize3.0ms (0%)

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

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 3)
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	3.6b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

12 calls:

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

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`rational_best-simplify-111`
638×	`rational_best-simplify-96`
636×	`rational_best-simplify-61`
628×	`rational_best-simplify-117`
596×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	57	55
2	281	55
3	1845	55

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (-.f64 (*.f64 (pow.f64 x 3) 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (+.f64 0 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (+.f64 (sin.f64 (+.f64 x eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/6) (+.f64 (neg.f64 x) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 x) (cos.f64 eps))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 0 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 0 (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))) (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))) (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))) (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))))) (+.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (-.f64 1 (*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))) (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1) (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))))) (*.f64 (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))) (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))))) (-.f64 (*.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1)) (*.f64 (+.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 1) (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 -1/6 (pow.f64 x 3)))) 0) (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 x (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 -1/6 (pow.f64 x 3))))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 0) (/.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sin.f64 (+.f64 x eps)) 0) (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (+.f64 x eps))) 0) (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 x (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 -1/6 (pow.f64 x 3))))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 0) (/.f64 (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps)))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) 0) (/.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (sin.f64 (+.f64 x eps))) 0)) 0) (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))

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

()

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1088×	`rational_best-simplify-1`
620×	`rational_best-simplify-21`
616×	`rational_best-simplify-18`
594×	`rational_best-simplify-20`
538×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	192	2821
1	1036	2773
2	6667	2773

Stop Event

1×	node limit

Counts

73 → 92

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	0.2b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	2.6b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`rational_best-simplify-96`
764×	`rational_best-simplify-117`
692×	`rational_best-simplify-61`
682×	`rational_best-simplify-65`
584×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	47	50
2	290	50
3	1959	50

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational_best-simplify-1`
660×	`rational_best-simplify-21`
656×	`rational_best-simplify-18`
646×	`rational_best-simplify-20`
568×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	198	2372
1	1052	2354
2	6537	2354

Stop Event

1×	node limit

Counts

82 → 100

Calls

Call 1

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

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

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.3b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	1.6b	(+.f64 (cos.f64 eps) -1)
✓	7.7b	(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (cos.f64 eps) (sin.f64 x)))

Compiler

Compiled 161 to 47 computations (70.8% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`rational_best-simplify-61`
738×	`rational_best-simplify-65`
736×	`rational_best-simplify-96`
702×	`rational_best-simplify-105`
698×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	53	87
2	338	87
3	2186	87

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs

()

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

734×	`rational_best-simplify-61`
730×	`rational_best-simplify-65`
698×	`rational_best-simplify-62`
684×	`rational_best-simplify-117`
648×	`rational_best-simplify-96`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	386	5462
1	2069	5400

Stop Event

1×	node limit

Counts

152 → 166

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (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)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 (cos.f64 eps) 1)
(-.f64 -1 (neg.f64 (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(-.f64 0 (-.f64 1 (cos.f64 eps)))
(*.f64 -1 (-.f64 1 (cos.f64 eps)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (-.f64 1 (cos.f64 eps)) -1)
(/.f64 (+.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps))) -2)
(/.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (+.f64 1 (-.f64 1 (cos.f64 eps))))
(/.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)
(/.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)
(/.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 1 (cos.f64 eps))) (+.f64 1 (-.f64 1 (cos.f64 eps)))))
(neg.f64 (-.f64 1 (cos.f64 eps)))
(neg.f64 (*.f64 (-.f64 1 (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))
(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))
(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 (cos.f64 eps) 0) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (cos.f64 eps)) (+.f64 (cos.f64 eps) -1))
(if (!=.f64 -1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 (*.f64 x 2))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)
(/.f64 (+.f64 -1 (cos.f64 (*.f64 x 2))) -2)
(/.f64 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2)))) 4)
(/.f64 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))) 4)
(/.f64 (fabs.f64 (+.f64 -1 (cos.f64 (*.f64 x 2)))) 2)
(/.f64 (fabs.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (-.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 (.f64 2 (cos.f64 (*.f64 x 2))) 2)))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))))
(/.f64 (+.f64 1 (cos.f64 (*.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2))) 2)
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x)))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)) (+.f64 (.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2) -4))
(/.f64 (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2)) (+.f64 (.f64 2 (-.f64 1 (cos.f64 (*.f64 x 2)))) -4))
(/.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)
(/.f64 (+.f64 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x))))) 8)
(/.f64 (+.f64 (fabs.f64 (+.f64 -1 (cos.f64 (.f64 x 2)))) (fabs.f64 (+.f64 -1 (cos.f64 (.f64 x 2))))) 4)
(/.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)
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (-.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (-.f64 1 (cos.f64 (.f64 x 2)))))) (+.f64 (+.f64 4 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)) (+.f64 4 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2))))
(/.f64 (+.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))) (+.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))))
(/.f64 (+.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2))) (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))) 4)
(/.f64 (+.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x)))) (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))) 4)
(/.f64 (fabs.f64 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2))))) 4)
(/.f64 (fabs.f64 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x))))) 4)
(/.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (-.f64 1 (cos.f64 (.f64 x 2)))))) (fabs.f64 (+.f64 (.f64 2 (-.f64 1 (cos.f64 (*.f64 x 2)))) -4)))
(/.f64 (fabs.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))) (fabs.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))))
(/.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))) 2)
(/.f64 (fabs.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))) 2)
(/.f64 (-.f64 (.f64 4 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2))))) (.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)))))) (-.f64 16 (.f64 4 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (*.f64 x 2)))))))
(/.f64 (-.f64 (.f64 4 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x))))) (.f64 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))))) (-.f64 16 (*.f64 4 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))))))
(/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 -1 (cos.f64 (.f64 x 2))))) (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (+.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 -1 (cos.f64 (*.f64 x 2)))))))
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(/.f64 (fabs.f64 (-.f64 (.f64 4 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2))))) (.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))))))) (fabs.f64 (-.f64 16 (.f64 4 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (*.f64 x 2))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 4 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x))))) (.f64 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x))))))) (fabs.f64 (-.f64 16 (*.f64 4 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x))))))))
(/.f64 (fabs.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 -1 (cos.f64 (.f64 x 2))))) (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (+.f64 -1 (cos.f64 (.f64 x 2)))))) (fabs.f64 (-.f64 4 (.f64 2 (fabs.f64 (+.f64 -1 (cos.f64 (*.f64 x 2))))))))
(/.f64 (fabs.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))) (fabs.f64 (-.f64 4 (*.f64 2 (fabs.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2)) (+.f64 (.f64 2 (-.f64 1 (cos.f64 (.f64 x 2)))) -4)) (.f64 (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2)) (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2))))) (fabs.f64 (.f64 (+.f64 4 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)) (-.f64 (+.f64 4 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)) (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (-.f64 1 (cos.f64 (*.f64 x 2)))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)) (+.f64 (.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2) -4)) (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))))) (fabs.f64 (.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (-.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 2 (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))) (.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2))) (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))))) (fabs.f64 (-.f64 4 (.f64 2 (+.f64 1 (cos.f64 (*.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))))))
(/.f64 (fabs.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))) (.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x)))) (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))))) (fabs.f64 (-.f64 4 (*.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))))))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (.f64 (pow.f64 eps 6) (.f64 -1/720 (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 (sin.f64 x) (.f64 1/24 (pow.f64 eps 4))) (.f64 (sin.f64 x) (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (pow.f64 eps 6) (.f64 -1/720 (sin.f64 x)))) (+.f64 (.f64 1/40320 (.f64 (sin.f64 x) (pow.f64 eps 8))) (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 1/24 (pow.f64 eps 4)))) (+.f64 (.f64 (sin.f64 x) (.f64 1/40320 (pow.f64 eps 8))) (.f64 (sin.f64 x) (.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (*.f64 x (-.f64 1 (cos.f64 eps))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 -1/5040 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (+.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/120 (.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))) (.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (.f64 1/120 (.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))) (.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/24 (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 (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)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (.f64 2/45 (pow.f64 x 6))))
(-.f64 (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))) (.f64 (pow.f64 x 4) 1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (*.f64 2/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 2/45 (pow.f64 x 6)) (.f64 -1/315 (pow.f64 x 8))) (*.f64 -1/3 (pow.f64 x 4))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(-.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 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps))) -2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (+.f64 1 (-.f64 1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(/.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)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) 4)
(+.f64 (cos.f64 eps) -1)
(/.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 1 (cos.f64 eps))) (+.f64 1 (-.f64 1 (cos.f64 eps)))))
(+.f64 (cos.f64 eps) -1)
(neg.f64 (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(neg.f64 (*.f64 (-.f64 1 (cos.f64 eps)) 1))
(+.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 (-.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))
(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 (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 -1 0) (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2) (/.f64 (-.f64 (sin.f64 (neg.f64 x)) (sin.f64 x)) 2)))
(.f64 (sin.f64 x) (-.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2) (.f64 (sin.f64 (neg.f64 x)) (cos.f64 0))))
(/.f64 (-.f64 1 (cos.f64 (*.f64 x 2))) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 -1 (cos.f64 (*.f64 x 2))) -2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2)))) 4)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 0) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (cos.f64 (+.f64 x x)))) 4)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (fabs.f64 (+.f64 -1 (cos.f64 (*.f64 x 2)))) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (fabs.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
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(*.f64 (sin.f64 x) (sin.f64 x))
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(*.f64 (sin.f64 x) (sin.f64 x))
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(*.f64 (sin.f64 x) (sin.f64 x))
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(/.f64 (fabs.f64 (+.f64 (fabs.f64 (+.f64 -1 (cos.f64 (.f64 2 x)))) (fabs.f64 (+.f64 -1 (cos.f64 (.f64 2 x)))))) 4)
(/.f64 (fabs.f64 (+.f64 (fabs.f64 (-.f64 1 (cos.f64 (.f64 2 x)))) (fabs.f64 (-.f64 1 (cos.f64 (.f64 2 x)))))) 4)
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(*.f64 (sin.f64 x) (sin.f64 x))
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(/.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 -2 (-.f64 x (/.f64 (PI.f64) 2)))))) 2)
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(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2)) (+.f64 (.f64 2 (-.f64 1 (cos.f64 (.f64 x 2)))) -4)) (.f64 (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2)) (.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) -2))))) (fabs.f64 (.f64 (+.f64 4 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)) (-.f64 (+.f64 4 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)) (.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (-.f64 1 (cos.f64 (*.f64 x 2)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 (+.f64 -1 (cos.f64 (.f64 2 x))) 2)) (-.f64 (+.f64 -4 (-.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 (+.f64 -1 (cos.f64 (.f64 2 x))) 2)))) (.f64 (+.f64 4 (+.f64 (.f64 2 (cos.f64 (.f64 2 x))) -2)) (-.f64 (+.f64 4 (+.f64 (.f64 2 (cos.f64 (.f64 2 x))) -2)) (.f64 (-.f64 1 (cos.f64 (.f64 2 x))) (-.f64 2 (-.f64 1 (cos.f64 (*.f64 2 x)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 (.f64 2 x))) (+.f64 -2 (-.f64 1 (cos.f64 (.f64 2 x))))) (-.f64 (.f64 (-.f64 1 (cos.f64 (.f64 2 x))) (+.f64 2 (+.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 2 (.f64 2 (cos.f64 (.f64 2 x)))))) (.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 2 x)))) (+.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 2 x)))) (.f64 (-.f64 1 (cos.f64 (.f64 2 x))) (+.f64 -2 (-.f64 1 (cos.f64 (*.f64 2 x)))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)) (+.f64 (.f64 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2) -4)) (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))))) (fabs.f64 (.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (-.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))))))
(fabs.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (+.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -2)) (+.f64 -4 (.f64 -2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))) (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (+.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (+.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))))) (.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (-.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (+.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))))))
(fabs.f64 (/.f64 (-.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (.f64 (+.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (+.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))))) (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (-.f64 -2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (+.f64 -4 (.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) (.f64 (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (-.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (+.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (+.f64 4 (.f64 2 (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 2 (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))) (.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2))) (+.f64 1 (cos.f64 (.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))))) (fabs.f64 (-.f64 4 (.f64 2 (+.f64 1 (cos.f64 (*.f64 (-.f64 x (/.f64 (PI.f64) 2)) -2)))))))
(/.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 -2 (-.f64 x (/.f64 (PI.f64) 2)))))) 2)
(fabs.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 -2 (-.f64 x (/.f64 (PI.f64) 2))))) 2))
(/.f64 (fabs.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))) (.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x)))) (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))))) (fabs.f64 (-.f64 4 (*.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))))))
(/.f64 (fabs.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (/.f64 (PI.f64) 2) x))))) 2)
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))

eval478.0ms (4.1%)

Compiler: Compiled 55147 to 20286 computations (63.2% saved)

prune452.0ms (3.8%)

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	996	10	1006
Fresh	2	31	33
Picked	1	0	1
Done	3	7	10
Total	1002	48	1050

Error

0.1b

Counts

1050 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	21.9b	(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	22.0b	(-.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
	20.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	53.4b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	35.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 eps)) (sin.f64 x))
	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	61.2b	(-.f64 (*.f64 x (cos.f64 eps)) x)
	62.1b	(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
✓	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))
	38.5b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	61.3b	(-.f64 (cos.f64 (if (!=.f64 (+.f64 x eps) 0) (/.f64 (*.f64 (+.f64 x eps) (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (+.f64 x eps)) (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))) (sin.f64 x))
✓	58.2b	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
	59.2b	(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)) (sin.f64 x))
	58.1b	(-.f64 (cos.f64 (neg.f64 x)) (sin.f64 x))
	58.8b	(-.f64 (cos.f64 (neg.f64 eps)) (sin.f64 x))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (+.f64 0 (.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (-.f64 0 (/.f64 -1 (/.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.5b	(+.f64 (if (!=.f64 (.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))) 0) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	22.1b	(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	0.6b	(+.f64 (if (!=.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 eps) (/.f64 (-.f64 1 (cos.f64 (.f64 x 2))) 2))) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
▶	0.4b	(+.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
▶	28.4b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 eps)))) (.f64 (cos.f64 x) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
✓	0.3b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	28.1b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (sin.f64 eps))
✓	20.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	36.0b	(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
▶	16.2b	(+.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
▶	36.8b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (sin.f64 x))
	53.5b	(+.f64 (-.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	33.2b	(+.f64 (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (sin.f64 x) (pow.f64 eps 6)))) (+.f64 (.f64 1/40320 (.f64 (sin.f64 x) (pow.f64 eps 8))) (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	38.6b	(+.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (neg.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	33.8b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
	18.0b	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	30.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	0.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
	58.8b	(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	47.8b	(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.6b	(*.f64 (cos.f64 x) eps)
▶	62.3b	(*.f64 1/6 (pow.f64 x 3))
✓	29.2b	(sin.f64 eps)
	45.9b	eps

Compiler

Compiled 2000 to 1073 computations (46.4% saved)

localize55.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	1.6b	(-.f64 -1 (neg.f64 (cos.f64 eps)))
	1.7b	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
✓	7.7b	(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (sin.f64 x))

Compiler

Compiled 134 to 39 computations (70.9% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best-simplify-96`
906×	`rational_best-simplify-61`
860×	`rational_best-simplify-65`
744×	`rational_best-simplify-3`
462×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	71	52
2	440	52
3	2875	52

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

()

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational_best-simplify-61`
1116×	`rational_best-simplify-65`
938×	`rational_best-simplify-62`
888×	`rational_best-simplify-3`
834×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1479
1	631	1479
2	3825	1479

Stop Event

1×	node limit

Counts

69 → 71

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 3)
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite18.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	8	20

Stop Event

1×

saturated

Counts

2 → 0

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 x 3)

Outputs
()
()

simplify13.0ms (0.1%)

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

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.2b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	2.7b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (sin.f64 x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`rational_best-simplify-96`
734×	`rational_best-simplify-117`
660×	`rational_best-simplify-61`
648×	`rational_best-simplify-65`
550×	`rational_best-simplify-111`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	44	25
2	271	25
3	1866	5

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-96`
1086×	`rational_best-simplify-61`
1036×	`rational_best-simplify-65`
594×	`rational_best-simplify-3`
554×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	332
1	550	332
2	3660	332

Stop Event

1×	node limit

Counts

48 → 32

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))

Compiler

Compiled 31 to 8 computations (74.2% saved)

localize109.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 137 to 61 computations (55.5% saved)

series62.0ms (0.5%)

Counts

3 → 48

Calls

12 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`rational_best-simplify-124`
594×	`rational_best-simplify-126`
564×	`rational_best-simplify-61`
534×	`rational_best-simplify-65`
524×	`rational_best-simplify-96`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	87
1	52	79
2	253	77
3	1519	77

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

Outputs

()

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational_best-simplify-113`
960×	`rational_best-simplify-3`
712×	`rational_best-simplify-61`
694×	`rational_best-simplify-65`
602×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	3001
1	490	2871
2	2405	2791

Stop Event

1×	node limit

Counts

51 → 69

Calls

Call 1

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

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

eval353.0ms (3%)

Compiler: Compiled 27014 to 13032 computations (51.8% saved)

prune243.0ms (2.1%)

Pruning

53 alts after pruning (43 fresh and 10 done)

	Pruned	Kept	Total
New	593	10	603
Fresh	3	33	36
Picked	1	0	1
Done	1	10	11
Total	598	53	651

Error

0.1b

Counts

651 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	21.9b	(if (!=.f64 (-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	22.0b	(-.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
	20.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	53.4b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	35.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 eps)) (sin.f64 x))
	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	61.2b	(-.f64 (*.f64 x (cos.f64 eps)) x)
	62.1b	(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
✓	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))
	38.5b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	61.3b	(-.f64 (cos.f64 (if (!=.f64 (+.f64 x eps) 0) (/.f64 (*.f64 (+.f64 x eps) (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (+.f64 x eps)) (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))) (sin.f64 x))
✓	58.2b	(-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (sin.f64 x))
	58.1b	(-.f64 (cos.f64 (neg.f64 x)) (sin.f64 x))
	58.8b	(-.f64 (cos.f64 (neg.f64 eps)) (sin.f64 x))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (+.f64 0 (.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (if (!=.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))) 0) (-.f64 0 (/.f64 -1 (/.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
	22.1b	(+.f64 (if (!=.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0) (/.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	0.6b	(+.f64 (if (!=.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 0) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 eps) (/.f64 (-.f64 1 (cos.f64 (.f64 x 2))) 2))) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.5b	(+.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 x 2))) 2) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.7b	(+.f64 (if (!=.f64 (sin.f64 x) 0) (/.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 2 x))) (+.f64 -2 (-.f64 1 (cos.f64 (.f64 2 x))))) (neg.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 2 x)))))) (-.f64 -1 (neg.f64 (cos.f64 eps)))) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
	28.5b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (cos.f64 (neg.f64 eps))) (.f64 (cos.f64 x) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
	28.6b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (PI.f64)))) (.f64 (cos.f64 x) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 eps))))))
✓	0.3b	(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	28.1b	(+.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (sin.f64 eps))
✓	20.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	36.0b	(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
✓	16.2b	(+.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
✓	36.8b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (sin.f64 x))
	44.9b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))
	38.4b	(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) x)
	45.8b	(+.f64 (-.f64 (sin.f64 eps) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))) (sin.f64 x))
	38.5b	(+.f64 (-.f64 (sin.f64 eps) x) (sin.f64 x))
	53.5b	(+.f64 (-.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	33.2b	(+.f64 (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/720 (.f64 (sin.f64 x) (pow.f64 eps 6)))) (+.f64 (.f64 1/40320 (.f64 (sin.f64 x) (pow.f64 eps 8))) (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	38.6b	(+.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (neg.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	33.8b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
	18.0b	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	30.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	0.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
	58.8b	(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	47.8b	(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
	46.5b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.6b	(*.f64 (cos.f64 x) eps)
✓	62.3b	(*.f64 1/6 (pow.f64 x 3))
✓	29.2b	(sin.f64 eps)
	58.7b	(cos.f64 (-.f64 (/.f64 (PI.f64) 2) eps))
	45.9b	eps

Compiler

Compiled 1078 to 621 computations (42.4% saved)

regimes142.0ms (1.2%)

Counts

67 → 1

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x
30.0ms	eps
20.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1449 to 458 computations (68.4% saved)

regimes85.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	eps
19.0ms	x
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 412 to 164 computations (60.2% saved)

regimes98.0ms (0.8%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	eps
18.0ms	x
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 367 to 149 computations (59.4% saved)

regimes110.0ms (0.9%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

77.0ms	eps
15.0ms	x
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.0b	1	`x`
15.7b	3	`eps`
18.0b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 299 to 130 computations (56.5% saved)

bsearch151.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	0.029694018220123967	147.35949023682736
87.0ms	-11.500426879368142	-5.260692712893624e-10

Results

101.0ms	171×	body	256	valid
29.0ms	62×	body	1024	valid
15.0ms	52×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 554 to 388 computations (30% saved)

regimes79.0ms (0.7%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	eps
15.0ms	x
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.0b	1	`x`
16.1b	3	`eps`
18.0b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 288 to 129 computations (55.2% saved)

bsearch78.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.029694018220123967	147.35949023682736
45.0ms	-11.500426879368142	-5.260692712893624e-10

Results

30.0ms	181×	body	256	valid
29.0ms	62×	body	1024	valid
14.0ms	45×	body	512	valid

Compiler

Compiled 446 to 334 computations (25.1% saved)

regimes151.0ms (1.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	x
65.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
14.0ms	eps

Results

Error	Segments	Branch
18.0b	1	`x`
18.0b	1	`eps`
18.0b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 230 to 103 computations (55.2% saved)

regimes188.0ms (1.6%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

84.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
60.0ms	eps
38.0ms	x

Results

Error	Segments	Branch
18.0b	3	`x`
16.2b	3	`eps`
17.0b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 218 to 98 computations (55% saved)

bsearch75.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.029694018220123967	147.35949023682736
41.0ms	-11.500426879368142	-5.260692712893624e-10

Results

29.0ms	71×	body	1024	valid
28.0ms	173×	body	256	valid
14.0ms	43×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 284 to 208 computations (26.8% saved)

regimes36.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	eps
16.0ms	x

Results

Error	Segments	Branch
18.2b	3	`x`
16.8b	3	`eps`

Compiler

Compiled 61 to 38 computations (37.7% saved)

bsearch110.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.029694018220123967	147.35949023682736
76.0ms	-11.500426879368142	-5.260692712893624e-10

Results

64.0ms	67×	body	1024	valid
27.0ms	170×	body	256	valid
16.0ms	51×	body	512	valid

Compiler

Compiled 230 to 172 computations (25.2% saved)

regimes49.0ms (0.4%)

Accuracy

Total -16.9b remaining (-57.8%)

Threshold costs -16.9b (-57.8%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(sin.f64 eps)

Outputs
(sin.f64 eps)

Calls

2 calls:

46.0ms	eps
3.0ms	x

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	476

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -5418731071652181/1152921504606846976) (+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (if (<=.f64 eps 5908722711110091/144115188075855872) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(if (<=.f64 eps -1080863910568919/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -3984496719921263/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1080863910568919/36028797018963968) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -4574792530279969/73786976294838206464) (sin.f64 eps) (if (<=.f64 eps 1080863910568919/36028797018963968) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -5418731071652181/1152921504606846976) (+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (if (<=.f64 eps 5908722711110091/144115188075855872) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(if (<=.f64 eps -1080863910568919/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -3984496719921263/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1080863910568919/36028797018963968) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -4574792530279969/73786976294838206464) (sin.f64 eps) (if (<=.f64 eps 1080863910568919/36028797018963968) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 185 to 109 computations (41.1% saved)

soundness0.0ms (0%)

end85.0ms (0.7%)

Compiler: Compiled 167 to 59 computations (64.7% saved)