Details

analyze671.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
21.9%	21.9%	78%	0.1%	0%	0%	0%	7
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	8
24.2%	24.2%	75.7%	0.1%	0%	0%	0%	9
24.6%	24.6%	75.3%	0.1%	0%	0%	0%	10
24.8%	24.8%	75.1%	0.1%	0%	0%	0%	11
24.9%	24.9%	75%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.0min (81.1%)

Results

31.0s	3520×	body	1024	valid
29.4s	1483×	body	512	valid
937.0ms	1274×	body	2048	valid
365.0ms	1977×	body	256	valid
2.0ms	2×	body	4096	valid

Bogosity

preprocess6.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	14	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.3b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	3.2b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series51.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	eps	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	x	@	0	(tan.f64 (+.f64 x eps))
1.0ms	eps	@	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	x	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps	@	0	(tan.f64 (+.f64 x eps))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational_best-simplify-55`
984×	`rational_best-simplify-66`
826×	`rational_best-simplify-65`
668×	`rational_best-simplify-49`
646×	`rational_best-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	57	32
2	130	32
3	438	32
4	1677	32

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

Outputs

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

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

simplify161.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

796×	`rational_best-simplify-47`
782×	`rational_best-simplify-1`
688×	`rational_best-simplify-44`
664×	`rational_best-simplify-62`
636×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	5987
1	757	5577
2	2099	5429

Stop Event

1×	node limit

Counts

135 → 159

Calls

Call 1

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

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

eval187.0ms (0.2%)

Compiler: Compiled 4845 to 2648 computations (45.3% saved)

prune369.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	143	16	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	17	160

Error

13.9b

Counts

160 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	61.2b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
▶	36.2b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) x)) (tan.f64 x))
	36.3b	(-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (/.f64 (tan.f64 x) -2)) (/.f64 (tan.f64 x) 2))
✓	36.3b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	31.8b	(-.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 eps)))
▶	36.3b	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))
▶	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
▶	29.3b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
▶	36.3b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
	32.4b	(+.f64 (-.f64 eps (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 eps))) (.f64 (sin.f64 x) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
	31.2b	(+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps))) (.f64 (+.f64 1/2 (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (pow.f64 x 3))))
	36.3b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) -2))
	30.9b	(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps)))
	31.2b	(+.f64 (.f64 (pow.f64 x 3) (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (.f64 (pow.f64 (sin.f64 eps) 2) 1/6)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) 1/2)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
	36.3b	(+.f64 (.f64 (tan.f64 x) -3/2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (.f64 1/2 (tan.f64 x))))
	31.8b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))

Compiler

Compiled 985 to 658 computations (33.2% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	0.3b	(pow.f64 (cos.f64 eps) 2)
✓	3.0b	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))

Compiler

Compiled 56 to 26 computations (53.6% saved)

series10.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite195.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational_best-simplify-3`
628×	`rational_best-simplify-51`
584×	`rational_best-simplify-59`
558×	`rational_best-simplify-44`
532×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	94	70
2	286	70
3	1289	70
4	7351	70

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

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

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

simplify308.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational_best-simplify-47`
984×	`rational_best-simplify-44`
712×	`rational_best-simplify-61`
700×	`rational_best-simplify-60`
640×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	6448
1	1401	6202
2	6694	6182

Stop Event

1×	node limit

Counts

246 → 282

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 2/45 x) (+.f64 (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 1/3 x)))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 2/45 x) (+.f64 (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 1/3 x)))) (+.f64 (.f64 (-.f64 (.f64 -1/315 x) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (+.f64 (.f64 -1 (-.f64 (.f64 2/45 x) (+.f64 (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 1/3 x)))) (.f64 -2/45 x)))) (pow.f64 eps 8)) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 (pow.f64 eps 2) x))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 0)
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (/.f64 (neg.f64 x) (.f64 2 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 (/.f64 (neg.f64 x) (.f64 2 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(+.f64 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 0)
(-.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))))
(-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) 1/2))
(-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (.f64 (/.f64 (neg.f64 x) (.f64 2 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))))
(-.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 2 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) x)) (*.f64 2 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (cos.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (.f64 (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2)) (.f64 2 (pow.f64 (sin.f64 eps) 2))) 4)
(/.f64 (.f64 (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2)) (.f64 2 (pow.f64 (sin.f64 eps) 2))) (/.f64 (.f64 2 (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (cos.f64 eps) 2) 1/2)))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (+.f64 x x))) (.f64 2 (.f64 2 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) 1/2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x))) (*.f64 2 (neg.f64 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)) (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) 1/2)
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 2 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 (.f64 (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2)) (.f64 2 (pow.f64 (sin.f64 eps) 2))) (.f64 (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2)) (.f64 2 (pow.f64 (sin.f64 eps) 2)))) 8)
(/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (+.f64 x x))) (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (+.f64 x x)))) (.f64 2 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 eps) 2)))))
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(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 1 (/.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (sin.f64 eps) 2) (/.f64 1 (*.f64 2 (cos.f64 eps))))
(.f64 (.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2)
(.f64 (.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) 1/2))))
(.f64 (.f64 2 (.f64 (sin.f64 eps) 2)) (/.f64 1 (.f64 2 (*.f64 2 (cos.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(.f64 -1 (.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (cos.f64 eps))))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) 2)
(*.f64 (cos.f64 0) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (/.f64 (sin.f64 eps) (.f64 2 (neg.f64 (cos.f64 eps)))) -2)
(.f64 1/2 (.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 1 (.f64 2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 2))
(.f64 (/.f64 1 (.f64 2 (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 1 (.f64 2 (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(neg.f64 (*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (cos.f64 eps) (cos.f64 eps))))

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (-.f64 (*.f64 x -1/3) (neg.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (*.f64 x 2/3)))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 2/45 x) (+.f64 (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 1/3 x)))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 (pow.f64 eps 6) (-.f64 (-.f64 (.f64 x 2/45) (.f64 x 1/3)) (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x)))))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 x 2/3)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x -13/45) (.f64 x -2/3)))))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 2/45 x) (+.f64 (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 1/3 x)))) (+.f64 (.f64 (-.f64 (.f64 -1/315 x) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (+.f64 (.f64 -1 (-.f64 (.f64 2/45 x) (+.f64 (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 1/3 x)))) (.f64 -2/45 x)))) (pow.f64 eps 8)) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (.f64 (pow.f64 eps 2) x))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (neg.f64 x)))) (+.f64 (.f64 (-.f64 (.f64 x -1/315) (+.f64 (.f64 x -2/45) (+.f64 (.f64 -1 (-.f64 (-.f64 (.f64 x 2/45) (.f64 x 1/3)) (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))))) (.f64 (-.f64 (.f64 x -1/3) (neg.f64 x)) 1/3)))) (pow.f64 eps 8)) (.f64 (pow.f64 eps 6) (-.f64 (-.f64 (.f64 x 2/45) (.f64 x 1/3)) (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x)))))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (.f64 x 2/3))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x -13/45) (.f64 x -2/3))) (.f64 (-.f64 (.f64 x -1/315) (+.f64 (neg.f64 (-.f64 (.f64 x -13/45) (.f64 x -2/3))) (+.f64 (.f64 x -2/45) (.f64 -1/3 (*.f64 x -2/3))))) (pow.f64 eps 8))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (+.f64 (.f64 (pow.f64 eps 4) (.f64 x 2/3)) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x -13/45) (.f64 x -2/3)))) (.f64 (-.f64 (.f64 x -1/315) (+.f64 (-.f64 (.f64 x -2/3) (.f64 x -13/45)) (+.f64 (.f64 -1/3 (.f64 x -2/3)) (*.f64 x -2/45)))) (pow.f64 eps 8))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (*.f64 (pow.f64 eps 2) -1))
(+.f64 1 (neg.f64 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) -1) (.f64 (pow.f64 eps 4) 1/3)))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (*.f64 (pow.f64 eps 4) 1/3) 1))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 1 (*.f64 (pow.f64 eps 4) 1/3)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/3) (.f64 (pow.f64 eps 6) -2/45)) (+.f64 1 (*.f64 (pow.f64 eps 2) -1)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) -2/45) (neg.f64 (pow.f64 eps 2))) (-.f64 -1 (.f64 (pow.f64 eps 4) 1/3)))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (+.f64 1 (.f64 (pow.f64 eps 6) -2/45))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (*.f64 (pow.f64 eps 4) -1/3))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 eps 4) -1/3) (.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (.f64 (pow.f64 eps 4) -1/3) (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 eps 6) 2/45) (+.f64 (.f64 (pow.f64 eps 4) -1/3) (*.f64 -1/315 (pow.f64 eps 8)))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 eps 4) -1/3) (+.f64 (.f64 (pow.f64 eps 6) 2/45) (*.f64 -1/315 (pow.f64 eps 8)))))
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (+.f64 (.f64 2/15 (pow.f64 eps 5)) (.f64 17/315 (pow.f64 eps 7))) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 (+.f64 eps (.f64 1/3 (pow.f64 eps 3))) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) eps)))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 0)
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 2 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (.f64 2 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 2 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (.f64 2 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 (/.f64 (neg.f64 x) (.f64 2 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 (/.f64 (neg.f64 x) (.f64 2 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2))) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (.f64 x 1/2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 0)
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 eps) 2))) 1/2))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 1 (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (.f64 (sin.f64 eps) 2) (/.f64 1 (*.f64 2 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) 1/2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (.f64 2 (.f64 (sin.f64 eps) 2)) (/.f64 1 (.f64 2 (*.f64 2 (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 -1 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 -1 (.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) 2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (cos.f64 0) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (cos.f64 0) (sin.f64 eps)) (cos.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 (cos.f64 0) (cos.f64 eps)))
(.f64 (/.f64 (sin.f64 eps) (.f64 2 (neg.f64 (cos.f64 eps)))) -2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 1/2 (.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1 (.f64 2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1 (.f64 2 (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1 (.f64 2 (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite164.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1906×	`rational_best-4`
1906×	`rational_best-2`
1906×	`rational_best-3`
1906×	`rational_best-1`
376×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	71	25
2	210	25
3	856	25
4	4970	25

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Outputs

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

simplify111.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1392×	`rational_best-simplify-44`
1116×	`rational_best-simplify-73`
942×	`rational_best-simplify-68`
930×	`rational_best-simplify-77`
878×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2343
1	456	2275
2	2190	2149

Stop Event

1×	node limit

Counts

65 → 72

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (/.f64 (sin.f64 0) (cos.f64 eps))) (neg.f64 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)))
(+.f64 (-.f64 0 (*.f64 (tan.f64 x) 2)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))))
(+.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2))
(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
(+.f64 (/.f64 (neg.f64 (tan.f64 x)) 2) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (tan.f64 x)) 2))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (tan.f64 x) 1/2)) (neg.f64 (.f64 (tan.f64 x) 1/2)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 1/2)
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(*.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(.f64 (-.f64 (.f64 (tan.f64 x) 1/2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2)) -2)
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 2)
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) 4)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2))) 8)
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2)) -4)
(/.f64 (-.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (.f64 2 (.f64 (tan.f64 x) 2))) 4)
(/.f64 (-.f64 (-.f64 0 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (-.f64 0 (.f64 (tan.f64 x) 2))) -2)
(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (cos.f64 eps)) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (.f64 (cos.f64 eps) 2)) (/.f64 1 (.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) (cos.f64 eps)) (/.f64 2 (cos.f64 eps)))
(/.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) (.f64 (cos.f64 eps) 2)) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (cos.f64 eps) 2)) (/.f64 -1 (.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) (cos.f64 eps)) (/.f64 4 (cos.f64 eps)))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) (*.f64 (cos.f64 eps) 2)) (/.f64 2 (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) (cos.f64 eps)) (/.f64 -2 (cos.f64 eps)))
(/.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) (.f64 (cos.f64 eps) 2)) (/.f64 -1 (cos.f64 eps)))
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))

Outputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 1/3 (pow.f64 eps 3)) eps))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 2/15 (pow.f64 eps 5)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/3 (pow.f64 eps 3)))))
(+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (.f64 1/3 (pow.f64 eps 3))) (+.f64 (.f64 2/15 (pow.f64 eps 5)) eps))
(+.f64 eps (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (.f64 -1 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 -2/15 (pow.f64 x 5))) (+.f64 (neg.f64 x) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 x)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (/.f64 (sin.f64 0) (cos.f64 eps))) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 eps) (/.f64 (sin.f64 0) (cos.f64 eps)))))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (sin.f64 eps)) (cos.f64 eps)))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 0))) (cos.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
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(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
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(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)))
(+.f64 (-.f64 0 (*.f64 (tan.f64 x) 2)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))))
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(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
(+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)))
(+.f64 (/.f64 (neg.f64 (tan.f64 x)) 2) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (tan.f64 x)) 2))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (tan.f64 x) 1/2)) (neg.f64 (.f64 (tan.f64 x) 1/2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 1/2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 0 (cos.f64 eps)))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 0 (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
(.f64 (-.f64 (.f64 (tan.f64 x) 1/2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2)) -2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) 4)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) -2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2))) 8)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
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(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2)) -4)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (.f64 2 (.f64 (tan.f64 x) 2))) 4)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (-.f64 0 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (-.f64 0 (.f64 (tan.f64 x) 2))) -2)
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(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (cos.f64 eps)) (/.f64 1 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (.f64 (cos.f64 eps) 2)) (/.f64 1 (.f64 (cos.f64 eps) 2)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) (cos.f64 eps)) (/.f64 2 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) (.f64 (cos.f64 eps) 2)) (/.f64 1 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (cos.f64 eps) 2)) (/.f64 -1 (.f64 (cos.f64 eps) 2)))
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(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) (cos.f64 eps)) (/.f64 4 (cos.f64 eps)))
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(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 0 (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2)) (*.f64 (cos.f64 eps) 2)) (/.f64 2 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 0 (cos.f64 eps)))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 0 (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) (cos.f64 eps)) (/.f64 -2 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 0 (cos.f64 eps)))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 0 (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) -2) (.f64 (cos.f64 eps) 2)) (/.f64 -1 (cos.f64 eps)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 0 (cos.f64 eps)))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 0 (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

localize21.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))
✓	1.9b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
	3.2b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series91.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
82.0ms	eps	@	inf	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
3.0ms	x	@	-inf	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
1.0ms	eps	@	0	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
1.0ms	x	@	0	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
1.0ms	eps	@	-inf	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`rational_best-simplify-84`
752×	`rational_best-4`
752×	`rational_best-2`
752×	`rational_best-3`
752×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	77	76
2	167	48
3	562	48
4	2184	48

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

simplify281.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational_best-simplify-1`
1158×	`rational_best-simplify-57`
1138×	`rational_best-simplify-49`
1128×	`rational_best-simplify-55`
938×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	9763
1	1102	9381
2	3285	8425

Stop Event

1×	node limit

Counts

181 → 228

Calls

Call 1

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

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

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (tan.f64 x) -3/2)
✓	0.5b	(-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2)))
✓	3.2b	(tan.f64 (+.f64 eps x))
✓	15.2b	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))

Compiler

Compiled 66 to 26 computations (60.6% saved)

series7.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))
1.0ms	x	@	-inf	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))
1.0ms	x	@	0	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))
1.0ms	eps	@	inf	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))
1.0ms	eps	@	0	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))

rewrite152.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`rational_best-4`
1728×	`rational_best-2`
1728×	`rational_best-3`
1728×	`rational_best-1`
1728×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	120
1	110	112
2	254	112
3	870	70
4	4306	70

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

Inputs
(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2))))
(tan.f64 (+.f64 eps x))
(-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) -3/2)))
(*.f64 (tan.f64 x) -3/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) (-.f64 (-.f64 (.f64 (tan.f64 x) 3/2) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) -1/2) (-.f64 (.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (+.f64 (.f64 (tan.f64 x) 3/2) (.f64 (tan.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (.f64 (tan.f64 x) 3/2) (.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) -3/2) (+.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) -3/2) (-.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2) (-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (.f64 (tan.f64 x) -5/2)) (.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) -1/4) (-.f64 (.f64 (tan.f64 x) 7/4) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (tan.f64 x) -1/2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (tan.f64 x) -1/4) (-.f64 (.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps)))) (/.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 x) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (tan.f64 x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 x) -3/4) (.f64 (tan.f64 x) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 x) -3/4) (neg.f64 (.f64 (tan.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3/2 (.f64 (tan.f64 x) -1/4)) (.f64 3/2 (+.f64 (.f64 (tan.f64 x) -1/2) (.f64 (tan.f64 x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) -3/4) (.f64 (tan.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3/2 (+.f64 (.f64 (tan.f64 x) -1/2) (.f64 (tan.f64 x) -1/4))) (.f64 3/2 (/.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) 3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (tan.f64 x) 2) -3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 (tan.f64 x) -3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (tan.f64 x) 2) -3) (.f64 (.f64 (tan.f64 x) 2) -3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -3/2 (.f64 (.f64 (tan.f64 x) 2) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 (.f64 (tan.f64 x) 2) -3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (tan.f64 x) 2) 2) 3/2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 -2 (.f64 (tan.f64 x) -3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3/2 (.f64 2 (.f64 (.f64 (tan.f64 x) 2) 2))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (tan.f64 x) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 x) 3/2))))))

simplify281.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1006×	`rational_best-simplify-57`
938×	`rational_best-simplify-61`
912×	`rational_best-simplify-1`
816×	`rational_best-simplify-55`
814×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	12769
1	1266	10913
2	3264	10247

Stop Event

1×	node limit

Counts

233 → 311

Calls

Call 1

Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps)))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps)))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps)))))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps)))))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 x (.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 -3/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))))
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(+.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) -5/2) (tan.f64 (+.f64 x eps))) 2) (/.f64 (+.f64 (+.f64 (.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2)) 2))
(+.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) 3/2) (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
(+.f64 (+.f64 (.f64 (tan.f64 x) -3/4) (tan.f64 (+.f64 x eps))) (-.f64 (.f64 (tan.f64 x) -3/4) (neg.f64 (tan.f64 x))))
(+.f64 (+.f64 (.f64 (tan.f64 x) -3/4) (tan.f64 x)) (-.f64 (.f64 (tan.f64 x) -3/4) (neg.f64 (tan.f64 (+.f64 x eps)))))
(.f64 -2 (-.f64 (.f64 (tan.f64 x) 3/4) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1/2)))
(.f64 (+.f64 (.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 1)
(.f64 1 (+.f64 (.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))))
(.f64 -1 (-.f64 (.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))))
(.f64 2 (.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 1/2))
(.f64 (neg.f64 (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2))) 1/2)
(.f64 (-.f64 (.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))) -1)
(.f64 1/2 (neg.f64 (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2))))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 1/2) 2)
(.f64 (-.f64 (.f64 (tan.f64 x) 3/4) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1/2)) -2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 1)
(/.f64 (neg.f64 (-.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 2)
(/.f64 (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))) -1)
(/.f64 (.f64 2 (neg.f64 (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2)))) 4)
(/.f64 (-.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) -2)
(/.f64 (+.f64 (.f64 2 (neg.f64 (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2)))) (.f64 2 (neg.f64 (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2))))) 8)
(/.f64 (+.f64 (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 2))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2)) (.f64 (.f64 (tan.f64 x) 2) -3)) 4)
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) 2) -3) (.f64 2 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))) 4)
(/.f64 (+.f64 (.f64 -2 (-.f64 (tan.f64 (+.f64 x eps)) (.f64 (tan.f64 x) -5/2))) (.f64 2 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2)) (.f64 -2 (.f64 (tan.f64 x) -3))) 4)
(pow.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 1)
(neg.f64 (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))))
(+.f64 (*.f64 (tan.f64 x) -3/2) 0)
(+.f64 0 (*.f64 (tan.f64 x) -3/2))
(+.f64 (.f64 (tan.f64 x) -3/4) (.f64 (tan.f64 x) -3/4))
(+.f64 (.f64 (tan.f64 x) -3/4) (neg.f64 (.f64 (tan.f64 x) 3/4)))
(+.f64 (.f64 3/2 (.f64 (tan.f64 x) -1/4)) (.f64 3/2 (+.f64 (.f64 (tan.f64 x) -1/2) (*.f64 (tan.f64 x) -1/4))))
(-.f64 (*.f64 (tan.f64 x) -3/2) 0)
(-.f64 0 (*.f64 (tan.f64 x) 3/2))
(-.f64 (.f64 (tan.f64 x) -3/4) (.f64 (tan.f64 x) 3/4))
(-.f64 (.f64 3/2 (+.f64 (.f64 (tan.f64 x) -1/2) (.f64 (tan.f64 x) -1/4))) (.f64 3/2 (/.f64 (tan.f64 x) 4)))
(/.f64 (*.f64 (tan.f64 x) -3/2) 1)
(/.f64 (*.f64 (tan.f64 x) 3/2) -1)
(/.f64 (*.f64 (tan.f64 x) -3) 2)
(/.f64 (*.f64 (tan.f64 x) 3) -2)
(/.f64 (.f64 (.f64 (tan.f64 x) 2) -3) 4)
(/.f64 (.f64 -2 (.f64 (tan.f64 x) -3)) -4)
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) 2) -3) (.f64 (.f64 (tan.f64 x) 2) -3)) 8)
(/.f64 (.f64 -3/2 (.f64 (*.f64 (tan.f64 x) 2) 2)) 4)
(/.f64 (.f64 -1 (.f64 (*.f64 (tan.f64 x) 2) -3)) -4)
(/.f64 (.f64 (.f64 (*.f64 (tan.f64 x) 2) 2) 3/2) -4)
(/.f64 (.f64 -1 (.f64 -2 (*.f64 (tan.f64 x) -3))) 4)
(/.f64 (.f64 3/2 (.f64 2 (.f64 (.f64 (tan.f64 x) 2) 2))) -8)
(pow.f64 (*.f64 (tan.f64 x) -3/2) 1)
(neg.f64 (*.f64 (tan.f64 x) 3/2))

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

localize197.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sin.f64 eps) 2)
	0.3b	(pow.f64 (cos.f64 eps) 2)
	3.0b	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
✓	3.9b	(*.f64 (sin.f64 eps) (pow.f64 x 2))

Compiler

Compiled 181 to 100 computations (44.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-2`
866×	`rational_best-1`
864×	`rational_best-4`
864×	`rational_best-3`
864×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	17
2	171	17
3	637	17
4	2397	17

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(*.f64 (sin.f64 eps) (pow.f64 x 2))

Outputs

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

simplify275.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best-simplify-38`
1108×	`rational_best-simplify-57`
1070×	`rational_best-simplify-49`
1070×	`rational_best-simplify-1`
610×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1710
1	495	1710
2	1246	1662
3	6889	1662

Stop Event

1×	node limit

Counts

86 → 91

Calls

Call 1

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

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

eval1.8s (2.4%)

Compiler: Compiled 49961 to 26567 computations (46.8% saved)

prune1.3s (1.8%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1474	14	1488
Fresh	5	6	11
Picked	0	1	1
Done	3	2	5
Total	1482	23	1505

Error

13.0b

Counts

1505 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.7b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	59.6b	(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) x)) (tan.f64 x))
✓	36.3b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	31.8b	(-.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 eps)))
▶	53.3b	(-.f64 eps (tan.f64 x))
	36.7b	(+.f64 (/.f64 (.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
	37.4b	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) -3/2))))
✓	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
	31.0b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
✓	29.3b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	28.2b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 1 (neg.f64 (pow.f64 eps 2))))))
	29.5b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x 1)))
	41.8b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 eps 2) x))
	56.5b	(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
	36.1b	(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
▶	56.5b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	36.1b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
	31.2b	(+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps))) (.f64 (+.f64 1/2 (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (pow.f64 x 3))))
	30.9b	(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps)))
	31.2b	(+.f64 (.f64 (pow.f64 x 3) (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (.f64 (pow.f64 (sin.f64 eps) 2) 1/6)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) 1/2)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
▶	29.3b	(+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
▶	31.8b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))

Compiler

Compiled 1150 to 790 computations (31.3% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 eps (tan.f64 x))

Compiler

Compiled 10 to 4 computations (60% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`rational_best-simplify-55`
694×	`rational_best-simplify-66`
632×	`rational_best-simplify-47`
598×	`rational_best-simplify-76`
540×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	44	11
2	105	11
3	349	11
4	1275	11

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify202.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational_best-simplify-1`
940×	`rational_best-simplify-3`
680×	`rational_best-simplify-62`
628×	`rational_best-simplify-51`
564×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	1764
1	475	1722
2	1381	1470
3	6423	1402

Stop Event

1×	node limit

Counts

90 → 94

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(+.f64 eps (.f64 (.f64 (tan.f64 x) -1/2) 2))
(+.f64 (-.f64 eps (tan.f64 x)) 0)
(+.f64 0 (-.f64 eps (tan.f64 x)))
(+.f64 (+.f64 eps eps) (-.f64 (neg.f64 eps) (tan.f64 x)))
(+.f64 (+.f64 eps eps) (neg.f64 (+.f64 eps (tan.f64 x))))
(+.f64 (+.f64 eps eps) (*.f64 (+.f64 eps (tan.f64 x)) -1))
(+.f64 (neg.f64 (tan.f64 x)) eps)
(+.f64 (*.f64 (tan.f64 x) -2) (+.f64 eps (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) -2) (neg.f64 (-.f64 (neg.f64 eps) (tan.f64 x))))
(+.f64 (.f64 (tan.f64 x) -2) (.f64 (-.f64 (neg.f64 eps) (tan.f64 x)) -1))
(+.f64 (.f64 eps 1/2) (-.f64 (.f64 eps 1/2) (tan.f64 x)))
(+.f64 (.f64 (-.f64 eps (tan.f64 x)) 1/2) (.f64 (-.f64 eps (tan.f64 x)) 1/2))
(+.f64 (-.f64 (.f64 eps 1/2) (tan.f64 x)) (.f64 eps 1/2))
(+.f64 (-.f64 eps (.f64 (tan.f64 x) 1/2)) (.f64 (tan.f64 x) -1/2))
(+.f64 (.f64 (tan.f64 x) -1/2) (-.f64 eps (.f64 (tan.f64 x) 1/2)))
(+.f64 (.f64 (tan.f64 x) -1/2) (neg.f64 (-.f64 (.f64 (tan.f64 x) 1/2) eps)))
(+.f64 (.f64 (tan.f64 x) -1/2) (.f64 (-.f64 (*.f64 (tan.f64 x) 1/2) eps) -1))
(+.f64 (/.f64 eps 4) (+.f64 (/.f64 eps 4) (-.f64 (*.f64 eps 1/2) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (*.f64 (-.f64 eps (tan.f64 x)) 1/2)))
(+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (/.f64 (-.f64 0 (*.f64 (-.f64 eps (tan.f64 x)) -3/2)) 2))
(+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (/.f64 (*.f64 (-.f64 eps (tan.f64 x)) 3) 4))
(+.f64 (-.f64 (neg.f64 eps) (tan.f64 x)) (+.f64 eps eps))
(+.f64 (+.f64 eps (tan.f64 x)) (*.f64 (tan.f64 x) -2))
(+.f64 (-.f64 (-.f64 (neg.f64 eps) (tan.f64 x)) (neg.f64 eps)) eps)
(+.f64 (-.f64 (+.f64 eps (tan.f64 x)) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (-.f64 eps (*.f64 (tan.f64 x) 1/2)) (/.f64 (tan.f64 x) 4)) (neg.f64 (/.f64 (tan.f64 x) 4)))
(+.f64 (-.f64 (+.f64 eps (tan.f64 x)) (-.f64 0 (.f64 (tan.f64 x) -3/2))) (.f64 (tan.f64 x) -1/2))
(+.f64 (-.f64 (+.f64 eps (tan.f64 x)) (.f64 (tan.f64 x) 1/2)) (neg.f64 (-.f64 0 (.f64 (tan.f64 x) -3/2))))
(+.f64 (.f64 (.f64 (tan.f64 x) -1/2) 2) eps)
(+.f64 (.f64 (-.f64 (.f64 (tan.f64 x) 1/2) eps) -1) (*.f64 (tan.f64 x) -1/2))
(+.f64 (.f64 (+.f64 (tan.f64 x) (.f64 eps -1/2)) -1) (*.f64 eps 1/2))
(+.f64 (.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) 2) (.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) 2))
(+.f64 (/.f64 (+.f64 eps (.f64 (-.f64 eps (tan.f64 x)) 1/2)) 2) (/.f64 (-.f64 (.f64 (tan.f64 x) -3/2) (*.f64 eps -1/2)) 2))
(+.f64 (/.f64 (-.f64 eps (-.f64 (tan.f64 x) eps)) 4) (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) eps) -2) (tan.f64 x)) 4))
(+.f64 (/.f64 (-.f64 0 (*.f64 (-.f64 eps (tan.f64 x)) -3/2)) 2) (/.f64 (-.f64 (tan.f64 x) eps) -4))
(+.f64 (/.f64 (*.f64 (-.f64 eps (tan.f64 x)) -3/2) -2) (/.f64 (-.f64 (tan.f64 x) eps) -4))
(*.f64 (-.f64 eps (tan.f64 x)) 1)
(*.f64 1 (-.f64 eps (tan.f64 x)))
(.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (tan.f64 x) eps) -2) 1/2)
(*.f64 (-.f64 (tan.f64 x) eps) -1)
(*.f64 -1 (-.f64 (tan.f64 x) eps))
(.f64 -2 (.f64 (-.f64 (tan.f64 x) eps) 1/2))
(.f64 (.f64 (-.f64 eps (tan.f64 x)) 4) 1/4)
(.f64 (.f64 2 (-.f64 (tan.f64 x) eps)) -1/2)
(.f64 (.f64 (-.f64 eps (tan.f64 x)) 1/2) 2)
(.f64 1/2 (.f64 (-.f64 (tan.f64 x) eps) -2))
(.f64 (.f64 (-.f64 (tan.f64 x) eps) 1/2) -2)
(/.f64 (-.f64 eps (tan.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (tan.f64 x) eps) -2) 2)
(/.f64 (-.f64 (tan.f64 x) eps) -1)
(/.f64 (*.f64 (-.f64 eps (tan.f64 x)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) eps)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 4)) 8)
(/.f64 (neg.f64 (*.f64 (-.f64 eps (tan.f64 x)) 4)) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 4)) (.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 4))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 eps (tan.f64 x)) 4)) (neg.f64 (.f64 (-.f64 eps (tan.f64 x)) 4))) -8)
(/.f64 (.f64 (.f64 (-.f64 (tan.f64 x) eps) 1/2) 2) -1)
(/.f64 (-.f64 (-.f64 (*.f64 (tan.f64 x) 3) eps) (+.f64 eps (-.f64 eps (-.f64 (tan.f64 x) eps)))) -4)
(/.f64 (+.f64 (neg.f64 (.f64 (tan.f64 x) 4)) (.f64 eps 4)) 4)
(/.f64 (+.f64 (neg.f64 (.f64 eps 4)) (.f64 (tan.f64 x) 4)) -4)
(/.f64 (-.f64 (.f64 2 (.f64 eps 4)) (.f64 2 (.f64 (tan.f64 x) 4))) 8)
(/.f64 (-.f64 (neg.f64 (.f64 eps 4)) (neg.f64 (.f64 (tan.f64 x) 4))) -4)
(pow.f64 (-.f64 eps (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) eps))

Outputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (neg.f64 x))
(+.f64 eps (+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (+.f64 eps (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 eps (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 eps (+.f64 (neg.f64 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) eps)
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(-.f64 eps (tan.f64 x))
(+.f64 eps (.f64 (.f64 (tan.f64 x) -1/2) 2))
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(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 eps (tan.f64 x)) 0)
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(-.f64 eps (tan.f64 x))
(+.f64 0 (-.f64 eps (tan.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (+.f64 eps eps) (-.f64 (neg.f64 eps) (tan.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (+.f64 eps eps) (neg.f64 (+.f64 eps (tan.f64 x))))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (+.f64 eps eps) (*.f64 (+.f64 eps (tan.f64 x)) -1))
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(-.f64 eps (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) eps)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) -2) (+.f64 eps (tan.f64 x)))
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(-.f64 eps (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) -2) (neg.f64 (-.f64 (neg.f64 eps) (tan.f64 x))))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) -2) (.f64 (-.f64 (neg.f64 eps) (tan.f64 x)) -1))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 eps 1/2) (-.f64 (.f64 eps 1/2) (tan.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (-.f64 eps (tan.f64 x)) 1/2) (.f64 (-.f64 eps (tan.f64 x)) 1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 (.f64 eps 1/2) (tan.f64 x)) (.f64 eps 1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 eps (.f64 (tan.f64 x) 1/2)) (.f64 (tan.f64 x) -1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) -1/2) (-.f64 eps (.f64 (tan.f64 x) 1/2)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) -1/2) (neg.f64 (-.f64 (.f64 (tan.f64 x) 1/2) eps)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
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(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (/.f64 eps 4) (+.f64 (/.f64 eps 4) (-.f64 (*.f64 eps 1/2) (tan.f64 x))))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (*.f64 (-.f64 eps (tan.f64 x)) 1/2)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (/.f64 (-.f64 0 (*.f64 (-.f64 eps (tan.f64 x)) -3/2)) 2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) (/.f64 (*.f64 (-.f64 eps (tan.f64 x)) 3) 4))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 (neg.f64 eps) (tan.f64 x)) (+.f64 eps eps))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (+.f64 eps (tan.f64 x)) (*.f64 (tan.f64 x) -2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 (-.f64 (neg.f64 eps) (tan.f64 x)) (neg.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 (+.f64 eps (tan.f64 x)) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(-.f64 (+.f64 eps (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 eps (tan.f64 x)) (*.f64 (tan.f64 x) 2))
(+.f64 (-.f64 (-.f64 eps (*.f64 (tan.f64 x) 1/2)) (/.f64 (tan.f64 x) 4)) (neg.f64 (/.f64 (tan.f64 x) 4)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 (+.f64 eps (tan.f64 x)) (-.f64 0 (.f64 (tan.f64 x) -3/2))) (.f64 (tan.f64 x) -1/2))
(+.f64 (.f64 (tan.f64 x) -1/2) (-.f64 (+.f64 eps (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) -3/2))))
(+.f64 (.f64 (tan.f64 x) -1/2) (-.f64 (+.f64 eps (tan.f64 x)) (.f64 (tan.f64 x) 3/2)))
(+.f64 (-.f64 (+.f64 eps (tan.f64 x)) (.f64 (tan.f64 x) 1/2)) (neg.f64 (-.f64 0 (.f64 (tan.f64 x) -3/2))))
(+.f64 (.f64 (tan.f64 x) -1/2) (-.f64 (+.f64 eps (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) -3/2))))
(+.f64 (.f64 (tan.f64 x) -1/2) (-.f64 (+.f64 eps (tan.f64 x)) (.f64 (tan.f64 x) 3/2)))
(+.f64 (.f64 (.f64 (tan.f64 x) -1/2) 2) eps)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (-.f64 (.f64 (tan.f64 x) 1/2) eps) -1) (*.f64 (tan.f64 x) -1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (+.f64 (tan.f64 x) (.f64 eps -1/2)) -1) (*.f64 eps 1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) 2) (.f64 (/.f64 (-.f64 (tan.f64 x) eps) -4) 2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (/.f64 (+.f64 eps (.f64 (-.f64 eps (tan.f64 x)) 1/2)) 2) (/.f64 (-.f64 (.f64 (tan.f64 x) -3/2) (*.f64 eps -1/2)) 2))
(/.f64 (+.f64 (+.f64 eps (.f64 (-.f64 eps (tan.f64 x)) 1/2)) (-.f64 (.f64 (tan.f64 x) -3/2) (*.f64 eps -1/2))) 2)
(+.f64 (.f64 (-.f64 eps (tan.f64 x)) 1/4) (+.f64 (/.f64 eps 2) (-.f64 (.f64 (tan.f64 x) -3/4) (*.f64 eps -1/4))))
(+.f64 (.f64 (-.f64 eps (tan.f64 x)) 1/4) (+.f64 (.f64 eps 1/2) (-.f64 (.f64 (tan.f64 x) -3/4) (.f64 eps -1/4))))
(+.f64 (/.f64 (-.f64 eps (-.f64 (tan.f64 x) eps)) 4) (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) eps) -2) (tan.f64 x)) 4))
(/.f64 (+.f64 (-.f64 eps (-.f64 (tan.f64 x) eps)) (-.f64 (*.f64 -2 (-.f64 (tan.f64 x) eps)) (tan.f64 x))) 4)
(/.f64 (+.f64 (-.f64 (tan.f64 x) (+.f64 eps eps)) (-.f64 (tan.f64 x) (*.f64 2 (-.f64 eps (tan.f64 x))))) -4)
(/.f64 (+.f64 (-.f64 eps (-.f64 (tan.f64 x) eps)) (-.f64 (*.f64 2 (-.f64 eps (tan.f64 x))) (tan.f64 x))) 4)
(+.f64 (/.f64 (-.f64 0 (*.f64 (-.f64 eps (tan.f64 x)) -3/2)) 2) (/.f64 (-.f64 (tan.f64 x) eps) -4))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (/.f64 (*.f64 (-.f64 eps (tan.f64 x)) -3/2) -2) (/.f64 (-.f64 (tan.f64 x) eps) -4))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(*.f64 (-.f64 eps (tan.f64 x)) 1)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(*.f64 1 (-.f64 eps (tan.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 (.f64 (-.f64 (tan.f64 x) eps) -2) 1/2)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(*.f64 (-.f64 (tan.f64 x) eps) -1)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(*.f64 -1 (-.f64 (tan.f64 x) eps))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 -2 (.f64 (-.f64 (tan.f64 x) eps) 1/2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 (.f64 (-.f64 eps (tan.f64 x)) 4) 1/4)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 (.f64 2 (-.f64 (tan.f64 x) eps)) -1/2)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 (.f64 (-.f64 eps (tan.f64 x)) 1/2) 2)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 1/2 (.f64 (-.f64 (tan.f64 x) eps) -2))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(.f64 (.f64 (-.f64 (tan.f64 x) eps) 1/2) -2)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (-.f64 eps (tan.f64 x)) 1)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) eps) -2) 2)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) eps) -1)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (*.f64 (-.f64 eps (tan.f64 x)) 4) 4)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) eps)) -2)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 4)) 8)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 eps (tan.f64 x)) 4)) -4)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 4)) (.f64 2 (.f64 (-.f64 eps (tan.f64 x)) 4))) 16)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 eps (tan.f64 x)) 4)) (neg.f64 (.f64 (-.f64 eps (tan.f64 x)) 4))) -8)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (.f64 (.f64 (-.f64 (tan.f64 x) eps) 1/2) 2) -1)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (-.f64 (-.f64 (*.f64 (tan.f64 x) 3) eps) (+.f64 eps (-.f64 eps (-.f64 (tan.f64 x) eps)))) -4)
(/.f64 (-.f64 (-.f64 (*.f64 3 (tan.f64 x)) eps) (+.f64 eps (-.f64 eps (-.f64 (tan.f64 x) eps)))) -4)
(/.f64 (-.f64 (*.f64 3 (tan.f64 x)) (+.f64 eps (+.f64 eps (-.f64 eps (-.f64 (tan.f64 x) eps))))) -4)
(+.f64 (-.f64 (.f64 (tan.f64 x) -1/4) (.f64 eps -1/2)) (-.f64 (.f64 (tan.f64 x) -3/4) (.f64 eps -1/2)))
(/.f64 (+.f64 (neg.f64 (.f64 (tan.f64 x) 4)) (.f64 eps 4)) 4)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 eps 4)) (.f64 (tan.f64 x) 4)) -4)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (-.f64 (.f64 2 (.f64 eps 4)) (.f64 2 (.f64 (tan.f64 x) 4))) 8)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (-.f64 (neg.f64 (.f64 eps 4)) (neg.f64 (.f64 (tan.f64 x) 4))) -4)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(pow.f64 (-.f64 eps (tan.f64 x)) 1)
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) eps))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
✓	0.2b	(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
✓	0.3b	(pow.f64 (sin.f64 x) 2)
✓	0.3b	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 59 to 36 computations (39% saved)

series7.0ms (0%)

Counts

4 → 44

Calls

15 calls:

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

rewrite277.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`rational_best-simplify-3`
524×	`rational_best-1`
522×	`rational_best-4`
522×	`rational_best-2`
522×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	110	96
2	334	92
3	1426	92
4	7734	92

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

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

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

simplify289.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1088×	`rational_best-simplify-57`
896×	`rational_best-simplify-49`
752×	`rational_best-simplify-45`
742×	`rational_best-simplify-55`
624×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	7750
1	1040	7280
2	5143	7272

Stop Event

1×	node limit

Counts

234 → 266

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 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))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 -62/315 (pow.f64 x 8)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/2) (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 4) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 4))
(+.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (pow.f64 (cos.f64 x) 2) 4))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 4))
(.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 0) 2))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(.f64 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2))) 1/4)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 1)
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 0)) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2))) 4)
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))) 8)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) -2)) -4)
(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2)))) -4)
(/.f64 (-.f64 0 (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))) -4)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(+.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1/2)))
(+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1/2)) (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(+.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1/2) -1) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1/2) -1))
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(-.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(-.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1/2) -1) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 0) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2)
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(.f64 -1/2 (.f64 (pow.f64 (sin.f64 x) 2) -2))
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -2)) -4)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 x) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 x) 2))) (.f64 2 (.f64 2 (pow.f64 (sin.f64 x) 2)))) 8)
(/.f64 (.f64 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) -1) 4)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 0)
(+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 0 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 0 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 0 (.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 3/2)) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) 2) (/.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 3/2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) 2))
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(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 3/2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 3/2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (-.f64 0 (.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 3/2)) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 0)
(-.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) -2)) (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
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(/.f64 (.f64 (.f64 2 (+.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)))) eps) 4)
(/.f64 (.f64 (.f64 eps -2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -2)
(/.f64 (.f64 (.f64 2 (+.f64 eps eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)
(/.f64 (*.f64 (+.f64 eps eps) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -2)
(pow.f64 (+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))) 1)
(neg.f64 (*.f64 eps (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6))) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 -2/45 (pow.f64 x 6)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.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 (pow.f64 x 6) 2/45) (.f64 (pow.f64 x 4) -1/3)))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 2/45)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (.f64 (pow.f64 x 6) 2/45)))
(+.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 (pow.f64 x 2) (.f64 (pow.f64 x 6) 2/45)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1/3)))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 6) 2/45) (*.f64 -1/315 (pow.f64 x 8)))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (pow.f64 x 2))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -2/3))
(+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -2/3))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) -17/45)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) -17/45) (.f64 (pow.f64 x 4) -2/3)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -2/3) (.f64 (pow.f64 x 6) -17/45)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 -62/315 (pow.f64 x 8)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 (.f64 (pow.f64 x 6) -17/45) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 x 8) -62/315))))
(+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 6) -17/45)) (*.f64 (pow.f64 x 8) -62/315)))
(+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 (.f64 (pow.f64 x 6) -17/45) (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 8) -62/315))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 eps (*.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 eps 2/3)) (+.f64 eps (*.f64 (pow.f64 x 2) eps)))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 4) (.f64 eps 2/3)) (*.f64 (pow.f64 x 2) eps)))
(+.f64 (+.f64 eps (.f64 (pow.f64 x 2) eps)) (.f64 (pow.f64 x 4) (*.f64 eps 2/3)))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) (.f64 eps 2/3)) (.f64 (pow.f64 x 6) (.f64 eps 17/45))) (+.f64 eps (*.f64 (pow.f64 x 2) eps)))
(+.f64 (.f64 (pow.f64 x 2) eps) (+.f64 (.f64 (pow.f64 x 4) (.f64 eps 2/3)) (+.f64 (.f64 (pow.f64 x 6) (*.f64 eps 17/45)) eps)))
(+.f64 (.f64 (pow.f64 x 2) eps) (+.f64 (.f64 (pow.f64 x 4) (.f64 eps 2/3)) (+.f64 eps (.f64 (pow.f64 x 6) (*.f64 eps 17/45)))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/2) (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(pow.f64 (cos.f64 x) 2)
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 4) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 4))
(pow.f64 (cos.f64 x) 2)
(+.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (pow.f64 (cos.f64 x) 2) 4))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(-.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 4))
(pow.f64 (cos.f64 x) 2)
(.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 0) 2))
(pow.f64 (*.f64 (cos.f64 0) (cos.f64 x)) 2)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 0)) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2))) 1/4)
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 x) 2))
(pow.f64 (*.f64 (cos.f64 0) (cos.f64 x)) 2)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 0)) 2)
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 0)) 2))
(pow.f64 (*.f64 (cos.f64 0) (cos.f64 x)) 2)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 0)) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (cos.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))) 8)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) -2)) -4)
(pow.f64 (cos.f64 x) 2)
(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2)))) -4)
(pow.f64 (cos.f64 x) 2)
(/.f64 (-.f64 0 (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))) -4)
(pow.f64 (cos.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
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(.f64 eps (+.f64 1 (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -2) -2)))
(/.f64 (.f64 (.f64 2 (+.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)))) eps) 4)
(.f64 eps (/.f64 (+.f64 4 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)) 2)) 4))
(.f64 eps (.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2))
(.f64 eps (.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))) 1/2))
(/.f64 (.f64 (.f64 eps -2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -2)
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (.f64 2 (+.f64 eps eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (.f64 2 (+.f64 eps eps)) 4))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (+.f64 eps eps) 1/2))
(/.f64 (*.f64 (+.f64 eps eps) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -2)
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(pow.f64 (+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(neg.f64 (*.f64 eps (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))
✓	0.2b	(/.f64 (sin.f64 x) (cos.f64 x))
	3.2b	(tan.f64 (+.f64 x eps))
✓	9.0b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))

Compiler

Compiled 62 to 22 computations (64.5% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite179.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`rational_best-simplify-1`
518×	`rational_best-simplify-69`
488×	`rational_best-simplify-44`
452×	`rational_best-simplify-67`
442×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	111	68
2	290	68
3	1148	62
4	6185	62

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

simplify134.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational_best-simplify-44`
1446×	`rational_best-simplify-1`
1312×	`rational_best-simplify-51`
858×	`rational_best-simplify-57`
786×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7561
1	1044	7225
2	3368	7043

Stop Event

1×	node limit

Counts

161 → 229

Calls

Call 1

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

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

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
	0.3b	(pow.f64 (sin.f64 eps) 2)
	0.3b	(pow.f64 (cos.f64 eps) 2)
	3.0b	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))

Compiler

Compiled 65 to 34 computations (47.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best-4`
1238×	`rational_best-2`
1238×	`rational_best-3`
1238×	`rational_best-1`
1230×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	65	15
2	183	15
3	776	15
4	3422	15

Stop Event

1×	node limit

Counts

1 → 131

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))

Outputs

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

simplify219.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational_best-simplify-59`
1654×	`rational_best-simplify-51`
952×	`rational_best-simplify-44`
618×	`rational_best-simplify-3`
508×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	3351
1	1149	3205
2	7625	3141

Stop Event

1×	node limit

Counts

143 → 165

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)))
(+.f64 (+.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 1 (cos.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (sin.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 1 (cos.f64 eps))) (+.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (sin.f64 eps)) (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))))
(-.f64 (/.f64 1 (cos.f64 eps)) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (/.f64 1 (cos.f64 eps)) (+.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))))
(-.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(-.f64 0 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2))
(-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2))
(-.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 0) (cos.f64 (neg.f64 eps)))) (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (cos.f64 0) (sin.f64 (neg.f64 eps)))))
(-.f64 (/.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (cos.f64 eps)) (/.f64 (.f64 (cos.f64 0) (sin.f64 (neg.f64 eps))) (cos.f64 eps)))
(-.f64 (+.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))))
(-.f64 (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))))
(-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 1 (cos.f64 eps))) (/.f64 -1 (cos.f64 eps)))
(-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (neg.f64 (sin.f64 eps)))
(-.f64 (-.f64 (neg.f64 (sin.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 eps) -2))
(-.f64 (-.f64 (*.f64 (sin.f64 eps) 1/2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (sin.f64 eps) -2))
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(-.f64 (-.f64 (neg.f64 (sin.f64 eps)) (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))) (*.f64 (sin.f64 eps) -2))
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(-.f64 (-.f64 (.f64 (cos.f64 0) (.f64 (sin.f64 0) (cos.f64 (neg.f64 eps)))) (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))) (.f64 (cos.f64 0) (.f64 (cos.f64 0) (sin.f64 (neg.f64 eps)))))
(-.f64 (-.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 -1 (cos.f64 eps))))
(-.f64 (-.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (+.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (-.f64 (sin.f64 eps) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))))
(-.f64 (-.f64 (sin.f64 eps) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (+.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)))
(-.f64 (-.f64 (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (/.f64 1 (cos.f64 eps)))
(-.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (sin.f64 eps))
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(-.f64 (-.f64 0 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 0))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 1 (cos.f64 0)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (cos.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 eps) (.f64 (cos.f64 eps) 2))))
(/.f64 (.f64 (sin.f64 eps) 2) (.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2)
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (+.f64 (cos.f64 0) (cos.f64 0)))
(/.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (/.f64 (.f64 (cos.f64 eps) 2) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (+.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (neg.f64 (cos.f64 0)))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) -2) (neg.f64 (.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) -2))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 eps)) 4)
(/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) 1/2)))
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(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) -2)
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (+.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 0))))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (+.f64 (/.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 2 (*.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (neg.f64 (.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (cos.f64 eps) 1/2))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 2)) 1/2)
(/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 eps) (.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 (.f64 (sin.f64 eps) -2) (.f64 (sin.f64 eps) -2)) (+.f64 (neg.f64 (.f64 (cos.f64 eps) 2)) (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 (.f64 (sin.f64 eps) -2) (.f64 (sin.f64 eps) -2)) (+.f64 (.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) -2)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps))) 8)
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps))) (+.f64 (/.f64 (.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) 1/2)) (/.f64 (.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) 1/2))))
(/.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) -4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4)) (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4)) (+.f64 (.f64 (cos.f64 eps) 4) (.f64 (cos.f64 eps) 4)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (sin.f64 eps)))) (+.f64 (neg.f64 (.f64 (cos.f64 eps) 2)) (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) -2) (cos.f64 eps)) -2)
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (/.f64 (cos.f64 eps) (cos.f64 0)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) -2) (cos.f64 eps)))
(/.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) 4)) 4)
(/.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) -2)) -2)
(/.f64 (.f64 (sin.f64 eps) 8) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4)
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (/.f64 2 (cos.f64 eps)))) -2)
(/.f64 (.f64 4 (.f64 (sin.f64 eps) 4)) (.f64 4 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (sin.f64 eps) -2) (/.f64 (cos.f64 eps) -2))
(/.f64 (.f64 4 (.f64 (sin.f64 eps) 1/2)) (*.f64 (cos.f64 eps) 2))
(/.f64 (/.f64 (sin.f64 eps) 4) (/.f64 (cos.f64 eps) 4))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 1/2)) (/.f64 2 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps)) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2)) (/.f64 1/2 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 eps)) (cos.f64 eps)) (/.f64 4 (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 -2 (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 (cos.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) 2)) (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (cos.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 -1 (*.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (cos.f64 eps) 2)) (/.f64 -1 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (.f64 (cos.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (.f64 (cos.f64 eps) 1/2))
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4)) (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4))) (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps))) (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)))) 16)
(/.f64 (+.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2))) -8)
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) -2) (cos.f64 eps))) (+.f64 (/.f64 (/.f64 (cos.f64 eps) -2) (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) -2) (cos.f64 eps))))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (cos.f64 eps))) (neg.f64 (/.f64 2 (cos.f64 eps))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps))) (+.f64 (/.f64 -1 (.f64 (cos.f64 eps) 2)) (/.f64 -1 (.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 -1 (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 -1 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) -2) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) -2) (cos.f64 eps))) -4)
(/.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) 4)) (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) 4))) 8)
(/.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) -2)) (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) -2))) -4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) 8) (.f64 (sin.f64 eps) 8)) (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) (.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps)))) 8)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 (/.f64 2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (/.f64 2 (cos.f64 eps))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (.f64 2 (.f64 (sin.f64 eps) 4))) (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 1/2)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 1/2))) (/.f64 4 (cos.f64 eps)))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps))) (/.f64 2 (cos.f64 eps)))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 2))) (/.f64 1 (cos.f64 eps)))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (cos.f64 eps)) (/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (cos.f64 eps))) (+.f64 (/.f64 4 (cos.f64 eps)) (/.f64 4 (cos.f64 eps))))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps))) (+.f64 (/.f64 -2 (cos.f64 eps)) (/.f64 -2 (cos.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (/.f64 (sin.f64 eps) (cos.f64 0))) (*.f64 (cos.f64 eps) 2))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (/.f64 (sin.f64 eps) (cos.f64 0))) (+.f64 (/.f64 (cos.f64 eps) (cos.f64 0)) (/.f64 (cos.f64 eps) (cos.f64 0))))
(/.f64 (+.f64 (.f64 4 (.f64 (sin.f64 eps) 4)) (.f64 4 (.f64 (sin.f64 eps) 4))) (+.f64 (.f64 4 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 4 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2)))) (+.f64 (/.f64 (cos.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 (cos.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (/.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) 2))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))

Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) eps))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 eps)) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) 1/2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (cos.f64 eps) 2) (cos.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) -2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (+.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 0))))
(*.f64 -2 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 0)))))
(*.f64 -2 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 0)) -2))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (+.f64 (/.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 2 (*.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (neg.f64 (.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (cos.f64 eps) 1/2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 2)) 1/2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 eps) (.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) -2) (.f64 (sin.f64 eps) -2)) (+.f64 (neg.f64 (.f64 (cos.f64 eps) 2)) (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) -2) (.f64 (sin.f64 eps) -2)) (+.f64 (.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) -2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps))) 8)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps))) (+.f64 (/.f64 (.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) 1/2)) (/.f64 (.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) 1/2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) -4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4)) (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4)) (+.f64 (.f64 (cos.f64 eps) 4) (.f64 (cos.f64 eps) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (sin.f64 eps)))) (+.f64 (neg.f64 (.f64 (cos.f64 eps) 2)) (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) -2) (cos.f64 eps)) -2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 0))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (/.f64 (cos.f64 eps) (cos.f64 0)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 0 (cos.f64 0)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) -2) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) 4)) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) -2)) -2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 8) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (/.f64 2 (cos.f64 eps)))) -2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 4 (.f64 (sin.f64 eps) 4)) (.f64 4 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) -2) (/.f64 (cos.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 4 (.f64 (sin.f64 eps) 1/2)) (*.f64 (cos.f64 eps) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) 4) (/.f64 (cos.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 1/2)) (/.f64 2 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps)) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2)) (/.f64 1/2 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 eps)) (cos.f64 eps)) (/.f64 4 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 -2 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 (cos.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) 2)) (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (cos.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 -1 (*.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (cos.f64 eps) 2)) (/.f64 -1 (.f64 2 (*.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (cos.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (.f64 (cos.f64 eps) 1/2))
(/.f64 (sin.f64 (+.f64 (/.f64 eps 2) (/.f64 eps 2))) (cos.f64 eps))
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4)) (+.f64 (.f64 (sin.f64 eps) 4) (.f64 (sin.f64 eps) 4))) (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps))) (+.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)))) 16)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2))) -8)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) -2) (cos.f64 eps))) (+.f64 (/.f64 (/.f64 (cos.f64 eps) -2) (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) -2) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (cos.f64 eps))) (neg.f64 (/.f64 2 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps))) (+.f64 (/.f64 -1 (.f64 (cos.f64 eps) 2)) (/.f64 -1 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 -1 (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 -1 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) -2) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) -2) (cos.f64 eps))) -4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) 4)) (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) 4))) 8)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) -2)) (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (sin.f64 eps) -2))) -4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) 8) (.f64 (sin.f64 eps) 8)) (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) (.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps)))) 8)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 (/.f64 2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (/.f64 2 (cos.f64 eps))))) -4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (.f64 2 (.f64 (sin.f64 eps) 4))) (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 1/2)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 1/2))) (/.f64 4 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps))) (/.f64 2 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) 2))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (cos.f64 eps)) (/.f64 (/.f64 (.f64 (sin.f64 eps) 4) (cos.f64 eps)) (cos.f64 eps))) (+.f64 (/.f64 4 (cos.f64 eps)) (/.f64 4 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps)) (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2) (cos.f64 eps))) (+.f64 (/.f64 -2 (cos.f64 eps)) (/.f64 -2 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (/.f64 (sin.f64 eps) (cos.f64 0))) (*.f64 (cos.f64 eps) 2))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 0))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 0)) (/.f64 (sin.f64 eps) (cos.f64 0))) (+.f64 (/.f64 (cos.f64 eps) (cos.f64 0)) (/.f64 (cos.f64 eps) (cos.f64 0))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 0 (cos.f64 0)))
(/.f64 (+.f64 (.f64 4 (.f64 (sin.f64 eps) 4)) (.f64 4 (.f64 (sin.f64 eps) 4))) (+.f64 (.f64 4 (.f64 2 (.f64 (cos.f64 eps) 2))) (.f64 4 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2)))) (+.f64 (/.f64 (cos.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 (cos.f64 eps) (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) 2))) (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (/.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (cos.f64 eps) -2) (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))

eval846.0ms (1.1%)

Compiler: Compiled 32435 to 17843 computations (45% saved)

prune614.0ms (0.8%)

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	1211	24	1235
Fresh	2	13	15
Picked	0	1	1
Done	0	7	7
Total	1213	45	1258

Error

13.0b

Counts

1258 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	53.1b	(/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps))
✓	26.7b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	59.6b	(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
	26.8b	(-.f64 (/.f64 (+.f64 (sin.f64 eps) (.f64 2 (sin.f64 eps))) (.f64 4 (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 eps)) 4)))
	56.5b	(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (.f64 (tan.f64 x) 2)) (-.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (/.f64 (*.f64 1/2 (sin.f64 x)) (cos.f64 x))))
▶	56.5b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) -2)) (-.f64 (.f64 1/2 (tan.f64 (+.f64 eps x))) (tan.f64 x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) x)) (tan.f64 x))
	31.9b	(-.f64 (+.f64 eps (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)) (.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)) -2))
	31.8b	(-.f64 (+.f64 eps eps) (-.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))))
	31.9b	(-.f64 (.f64 eps (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 -2 (+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))))
	56.5b	(-.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
✓	36.3b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	31.8b	(-.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 eps)))
✓	53.3b	(-.f64 eps (tan.f64 x))
	31.8b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)) eps)
	56.8b	(+.f64 (/.f64 (.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	36.7b	(+.f64 (/.f64 (.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
	37.4b	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) -3/2))))
✓	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
	31.0b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
✓	29.3b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	28.2b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 1 (neg.f64 (pow.f64 eps 2))))))
	29.5b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x 1)))
	29.4b	(+.f64 (-.f64 (-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps)) (.f64 (sin.f64 eps) -2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	55.9b	(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	36.1b	(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
✓	56.5b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
▶	36.1b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
	56.5b	(+.f64 (-.f64 (tan.f64 x) (-.f64 (.f64 -1/2 (tan.f64 (+.f64 eps x))) (.f64 (tan.f64 x) -2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	31.2b	(+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps))) (.f64 (+.f64 1/2 (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (pow.f64 x 3))))
	56.6b	(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (.f64 (tan.f64 (+.f64 eps x)) 3/4) (.f64 (tan.f64 (+.f64 eps x)) -1/4))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	30.9b	(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps)))
	31.2b	(+.f64 (.f64 (pow.f64 x 3) (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (.f64 (pow.f64 (sin.f64 eps) 2) 1/6)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) 1/2)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
✓	29.3b	(+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	29.5b	(+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x 1)))
	46.9b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	54.2b	(+.f64 (neg.f64 x) (+.f64 eps (*.f64 -1/3 (pow.f64 x 3))))
▶	31.9b	(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
	44.7b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
▶	53.7b	(+.f64 eps (neg.f64 x))
▶	26.7b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
✓	31.8b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
	43.5b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1)))
	31.8b	(.f64 eps (-.f64 1 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))
	44.0b	eps

Compiler

Compiled 1870 to 1292 computations (30.9% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`rational_best-simplify-76`
676×	`rational_best-simplify-61`
634×	`rational_best-simplify-55`
582×	`rational_best-simplify-47`
562×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	47	11
2	110	11
3	373	11
4	1525	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify172.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational_best-simplify-1`
1214×	`rational_best-simplify-59`
894×	`rational_best-simplify-51`
672×	`rational_best-simplify-75`
562×	`rational_best-simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	448
1	140	448
2	402	448
3	1467	448
4	7158	448

Stop Event

1×	node limit

Counts

30 → 38

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 5/24 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 eps 6)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 (cos.f64 eps)) 0)
(+.f64 0 (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))
(+.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (+.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (/.f64 1/2 (cos.f64 eps))))
(+.f64 (.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) 2) (.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) 2))
(-.f64 (/.f64 1 (cos.f64 eps)) 0)
(-.f64 0 (/.f64 -1 (cos.f64 eps)))
(-.f64 (/.f64 1/2 (cos.f64 eps)) (neg.f64 (/.f64 1/2 (cos.f64 eps))))
(*.f64 1 (/.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 eps)) 1)
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (cos.f64 0)))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 -1 (neg.f64 (cos.f64 0))))
(*.f64 2 (/.f64 1/2 (cos.f64 eps)))
(*.f64 (/.f64 2 (cos.f64 eps)) 1/2)
(*.f64 -1 (/.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 eps)) -1)
(*.f64 (/.f64 -1 (cos.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 0))))
(*.f64 (/.f64 -1 (cos.f64 eps)) (/.f64 -1 (cos.f64 0)))
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4)
(*.f64 (/.f64 -2 (cos.f64 eps)) -1/2)
(*.f64 1/2 (/.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2)
(*.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 2 (cos.f64 0)))
(*.f64 (neg.f64 (/.f64 1/2 (cos.f64 eps))) -2)
(pow.f64 (/.f64 1 (cos.f64 eps)) 1)
(neg.f64 (/.f64 -1 (cos.f64 eps)))

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 5/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 5/24 (pow.f64 eps 4)) 1))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 1 (.f64 5/24 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 eps 6)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 eps 4)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 61/720 (pow.f64 eps 6)))))
(+.f64 (.f64 61/720 (pow.f64 eps 6)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 5/24 (pow.f64 eps 4)) 1)))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 5/24 (pow.f64 eps 4)) (+.f64 1 (*.f64 61/720 (pow.f64 eps 6)))))
(+.f64 (/.f64 1 (cos.f64 eps)) 0)
(/.f64 1 (cos.f64 eps))
(+.f64 0 (/.f64 1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(+.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (+.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (/.f64 1/2 (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(+.f64 (.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) 2) (.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) 2))
(/.f64 1 (cos.f64 eps))
(-.f64 (/.f64 1 (cos.f64 eps)) 0)
(/.f64 1 (cos.f64 eps))
(-.f64 0 (/.f64 -1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(-.f64 (/.f64 1/2 (cos.f64 eps)) (neg.f64 (/.f64 1/2 (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(*.f64 1 (/.f64 1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) 1)
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (cos.f64 0)))
(/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 0))
(/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 0)))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 -1 (neg.f64 (cos.f64 0))))
(/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 0))
(/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 0)))
(*.f64 2 (/.f64 1/2 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 2 (cos.f64 eps)) 1/2)
(/.f64 1 (cos.f64 eps))
(*.f64 -1 (/.f64 -1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 -1 (cos.f64 eps)) -1)
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 -1 (cos.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 0))))
(/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 0))
(/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 0)))
(*.f64 (/.f64 -1 (cos.f64 eps)) (/.f64 -1 (cos.f64 0)))
(/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 0))
(/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 0)))
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4)
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 -2 (cos.f64 eps)) -1/2)
(/.f64 1 (cos.f64 eps))
(*.f64 1/2 (/.f64 2 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2)
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 2 (cos.f64 0)))
(/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 0))
(/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 0)))
(*.f64 (neg.f64 (/.f64 1/2 (cos.f64 eps))) -2)
(/.f64 1 (cos.f64 eps))
(pow.f64 (/.f64 1 (cos.f64 eps)) 1)
(/.f64 1 (cos.f64 eps))
(neg.f64 (/.f64 -1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))

localize4.0ms (0%)

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

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 eps (pow.f64 (cos.f64 x) 2))
	0.3b	(pow.f64 (sin.f64 x) 2)
	0.3b	(pow.f64 (cos.f64 x) 2)
✓	3.1b	(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))

Compiler

Compiled 47 to 25 computations (46.8% saved)

series11.0ms (0%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
1.0ms	x	@	0	(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
1.0ms	eps	@	0	(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
1.0ms	eps	@	inf	(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))

rewrite147.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational_best-2`
2006×	`rational_best-1`
2002×	`rational_best-4`
2002×	`rational_best-3`
438×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	85	50
2	251	50
3	1093	50
4	5527	50

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

870×	`rational_best-simplify-47`
714×	`rational_best-simplify-68`
698×	`rational_best-simplify-57`
684×	`rational_best-simplify-44`
558×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4328
1	997	4184
2	4306	4164

Stop Event

1×	node limit

Counts

142 → 144

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (.f64 (-.f64 (.f64 2/45 eps) (+.f64 (.f64 1/3 eps) (.f64 -1 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (.f64 (-.f64 (.f64 -1/315 eps) (+.f64 (.f64 -2/45 eps) (+.f64 (.f64 -1 (-.f64 (.f64 2/45 eps) (+.f64 (.f64 1/3 eps) (.f64 -1 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)))))) (.f64 1/3 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (.f64 (-.f64 (.f64 2/45 eps) (+.f64 (.f64 1/3 eps) (.f64 -1 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 eps) (.f64 1/3 eps)) (pow.f64 x 4))) (+.f64 (*.f64 eps (pow.f64 x 2)) eps))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 eps) (.f64 1/3 eps)) (pow.f64 x 4))) (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 -1 (.f64 (+.f64 (.f64 -1 eps) (+.f64 (.f64 2/3 eps) (.f64 -2/45 eps))) (pow.f64 x 6))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) 0)
(+.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))))
(+.f64 (.f64 0 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (+.f64 (.f64 0 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)))
(+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (.f64 0 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))) (neg.f64 (.f64 0 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))))
(+.f64 (.f64 (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(-.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) 0)
(-.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))))
(-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))) (-.f64 0 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))))
(-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (-.f64 0 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))))
(-.f64 (+.f64 (.f64 0 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) 0) (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))) (.f64 0 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))))
(-.f64 (+.f64 (.f64 0 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (-.f64 0 (.f64 0 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))))
(-.f64 (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (.f64 0 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))) (.f64 0 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)))
(-.f64 (.f64 (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)))
(-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))))
(-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) 1)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) eps)) (*.f64 2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) eps))) (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 0 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) -2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 eps)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 eps))) (*.f64 2 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) 1/2)
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) eps))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) eps)))) (.f64 2 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 (-.f64 0 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (-.f64 0 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))) -4)
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 eps)) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (/.f64 (.f64 2 (+.f64 eps eps)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) 4)
(/.f64 (.f64 (/.f64 (.f64 2 (+.f64 eps eps)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (/.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) 1/2)))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 eps eps))) (pow.f64 (sin.f64 x) 2)) (.f64 2 (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (-.f64 0 (.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) -2)
(/.f64 (.f64 (.f64 2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 eps (pow.f64 (cos.f64 x) 2))) 4)
(/.f64 (.f64 (-.f64 0 (.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 eps (pow.f64 (cos.f64 x) 2))) -2)
(/.f64 (*.f64 (/.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (.f64 (.f64 2 (/.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 0 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) eps))) (*.f64 2 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) eps)))) (.f64 2 (.f64 2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (*.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (*.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 -1 (*.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (/.f64 4 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (-.f64 0 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (/.f64 -2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (-.f64 0 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))) (*.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) 1)
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 0)
(+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 0 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 0 (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))
(+.f64 (/.f64 eps (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 eps (+.f64 eps eps)) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) 2) (/.f64 (/.f64 (+.f64 eps (+.f64 eps eps)) (.f64 2 (pow.f64 (cos.f64 x) 2))) 2))
(+.f64 (/.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (+.f64 eps (+.f64 eps eps)) (.f64 2 (pow.f64 (cos.f64 x) 2))) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 0)
(-.f64 0 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)) (-.f64 0 (*.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(-.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 0 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (/.f64 (+.f64 eps (+.f64 eps eps)) (.f64 2 (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))) 2))
(-.f64 (/.f64 (/.f64 (+.f64 eps (+.f64 eps eps)) (.f64 2 (pow.f64 (cos.f64 x) 2))) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 eps (+.f64 eps eps)) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))) (/.f64 (neg.f64 eps) (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(.f64 2 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2))
(*.f64 eps (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1)
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1 (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(.f64 (+.f64 eps eps) (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))))
(.f64 (.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2))) 1/2)
(.f64 (.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 2 (+.f64 eps eps)) (/.f64 1 (.f64 2 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))
(.f64 -1 (.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 eps) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)) -1)
(*.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2) 2)
(.f64 (/.f64 (neg.f64 eps) (.f64 2 (pow.f64 (cos.f64 x) 2))) -2)
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))) (+.f64 eps eps))
(.f64 (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 1/2 (.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(pow.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1)
(neg.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))

Outputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (*.f64 eps -1/3) (neg.f64 eps)) (pow.f64 x 4)))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(+.f64 (.f64 (-.f64 (.f64 2/45 eps) (+.f64 (.f64 1/3 eps) (.f64 -1 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 eps -1/3) (neg.f64 eps)) (pow.f64 x 4))) (.f64 (-.f64 (.f64 eps 2/45) (+.f64 (.f64 eps 1/3) (.f64 (-.f64 (neg.f64 eps) (.f64 eps -1/3)) 1))) (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (.f64 eps 2/3) (pow.f64 x 4))) (.f64 (-.f64 (.f64 eps -13/45) (.f64 eps -2/3)) (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (.f64 eps 2/3) (pow.f64 x 4))) (.f64 (+.f64 (.f64 eps 2/3) (.f64 eps -13/45)) (pow.f64 x 6)))
(+.f64 (.f64 (-.f64 (.f64 -1/315 eps) (+.f64 (.f64 -2/45 eps) (+.f64 (.f64 -1 (-.f64 (.f64 2/45 eps) (+.f64 (.f64 1/3 eps) (.f64 -1 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)))))) (.f64 1/3 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (.f64 (-.f64 (.f64 2/45 eps) (+.f64 (.f64 1/3 eps) (.f64 -1 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 eps) (.f64 -1 eps)) (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (-.f64 (.f64 eps -1/3) (neg.f64 eps)) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 eps 2/45) (+.f64 (.f64 eps 1/3) (.f64 (-.f64 (neg.f64 eps) (.f64 eps -1/3)) 1))) (pow.f64 x 6)) (.f64 (-.f64 (-.f64 (.f64 eps -1/315) (+.f64 (.f64 -1 (-.f64 (.f64 eps 2/45) (+.f64 (.f64 eps 1/3) (.f64 (-.f64 (neg.f64 eps) (.f64 eps -1/3)) 1)))) (.f64 (-.f64 (neg.f64 eps) (.f64 eps -1/3)) -1/3))) (.f64 eps -2/45)) (pow.f64 x 8))))
(+.f64 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (.f64 eps 2/3) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 eps -13/45) (.f64 eps -2/3)) (pow.f64 x 6)) (.f64 (-.f64 (.f64 eps 13/315) (+.f64 (neg.f64 (-.f64 (.f64 eps -13/45) (.f64 eps -2/3))) (.f64 -1/3 (.f64 eps -2/3)))) (pow.f64 x 8))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 (.f64 eps 2/3) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 eps 2/3) (.f64 eps -13/45)) (pow.f64 x 6)) (.f64 (-.f64 (.f64 eps 13/315) (+.f64 (-.f64 (.f64 eps -2/3) (.f64 eps -13/45)) (.f64 -1/3 (.f64 eps -2/3)))) (pow.f64 x 8)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
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(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
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(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
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(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
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(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(.f64 (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))) (+.f64 eps eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 1 (.f64 2 (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(.f64 1/2 (.f64 2 (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(pow.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1)
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(neg.f64 (/.f64 (neg.f64 eps) (pow.f64 (cos.f64 x) 2)))
(/.f64 eps (pow.f64 (cos.f64 x) 2))

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
	0.1b	(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	3.2b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 62 to 22 computations (64.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite165.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`rational_best-simplify-1`
516×	`rational_best-simplify-69`
488×	`rational_best-simplify-44`
452×	`rational_best-simplify-67`
442×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	111	53
2	290	53
3	1148	47
4	6184	47

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify147.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational_best-simplify-44`
1096×	`rational_best-simplify-78`
622×	`rational_best-simplify-1`
486×	`rational_best-simplify-72`
366×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	5256
1	595	5012
2	1613	4708
3	5401	4586

Stop Event

1×	node limit

Counts

68 → 100

Calls

Call 1

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

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

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
✓	0.2b	(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -2))
	3.2b	(tan.f64 (+.f64 eps x))
✓	6.4b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) -2)) (-.f64 (.f64 1/2 (tan.f64 (+.f64 eps x))) (tan.f64 x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))

Compiler

Compiled 95 to 36 computations (62.1% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational_best-simplify-61`
704×	`rational_best-simplify-44`
606×	`rational_best-simplify-60`
600×	`rational_best-4`
600×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	117
1	143	117
2	397	113
3	1696	93

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

Inputs

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

(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -2))

(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))

Outputs

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

simplify201.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational_best-simplify-55`
906×	`rational_best-simplify-58`
856×	`rational_best-simplify-44`
674×	`rational_best-simplify-62`
612×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	13424
1	1602	12112
2	6200	10888

Stop Event

1×	node limit

Counts

282 → 414

Calls

Call 1

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

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

eval1.2s (1.6%)

Compiler: Compiled 38920 to 19045 computations (51.1% saved)

prune580.0ms (0.8%)

Pruning

58 alts after pruning (49 fresh and 9 done)

	Pruned	Kept	Total
New	1296	22	1318
Fresh	5	27	32
Picked	1	0	1
Done	3	9	12
Total	1305	58	1363

Error

12.9b

Counts

1363 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	26.8b	(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps)) (/.f64 1 (cos.f64 eps)))
	59.9b	(/.f64 (*.f64 (sin.f64 x) -1/2) (cos.f64 x))
	53.1b	(/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps))
	26.8b	(/.f64 (.f64 (cos.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (.f64 (cos.f64 eps) 1/2))
✓	26.7b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	59.6b	(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
	26.9b	(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) -2) (*.f64 (sin.f64 eps) -2)) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)))
	43.6b	(-.f64 (/.f64 1 (cos.f64 eps)) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	43.6b	(-.f64 (-.f64 (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -2)) (/.f64 1 (cos.f64 eps)))
	36.1b	(-.f64 (-.f64 (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) (tan.f64 x)) (.f64 (tan.f64 (+.f64 x eps)) -1/2))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) x)) (tan.f64 x))
	56.5b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (.f64 -1/2 (sin.f64 x)) (cos.f64 x))) 0)
	31.9b	(-.f64 (+.f64 eps (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)) (.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)) -2))
	31.8b	(-.f64 (+.f64 eps eps) (-.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))))
	26.8b	(-.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	31.9b	(-.f64 (.f64 eps (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 -2 (+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))))
	56.5b	(-.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
	36.1b	(-.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
✓	36.3b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	26.8b	(-.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	31.8b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)) eps)
	56.8b	(+.f64 (/.f64 (.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	36.7b	(+.f64 (/.f64 (.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (.f64 (tan.f64 (+.f64 x eps)) 1/2))
	37.4b	(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) -3/2))))
	56.5b	(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 1/2 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))) (tan.f64 x)))
✓	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
	31.0b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
✓	29.3b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	28.2b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 1 (neg.f64 (pow.f64 eps 2))))))
	29.5b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x 1)))
	29.4b	(+.f64 (-.f64 (-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps)) (.f64 (sin.f64 eps) -2)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	55.9b	(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2) (tan.f64 x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
	56.5b	(+.f64 (-.f64 (tan.f64 x) (-.f64 (.f64 -1/2 (tan.f64 (+.f64 eps x))) (.f64 (tan.f64 x) -2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	36.1b	(+.f64 (-.f64 (tan.f64 x) (-.f64 (.f64 -1/2 (tan.f64 (+.f64 eps x))) (.f64 (tan.f64 x) -2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
	31.2b	(+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps))) (.f64 (+.f64 1/2 (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (pow.f64 x 3))))
	36.1b	(+.f64 (+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/4) (+.f64 (tan.f64 x) (.f64 (tan.f64 (+.f64 x eps)) 1/4)))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
	56.6b	(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (.f64 (tan.f64 (+.f64 eps x)) 3/4) (.f64 (tan.f64 (+.f64 eps x)) -1/4))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
	30.9b	(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) (cos.f64 eps)))
	31.2b	(+.f64 (.f64 (pow.f64 x 3) (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (.f64 (pow.f64 (sin.f64 eps) 2) 1/6)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) 1/2)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
✓	29.3b	(+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
	29.5b	(+.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x 1)))
	46.9b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	56.5b	(+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 1/2 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))) (tan.f64 x))))
	54.2b	(+.f64 (neg.f64 x) (+.f64 eps (*.f64 -1/3 (pow.f64 x 3))))
	31.9b	(+.f64 eps (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
	31.9b	(+.f64 eps (-.f64 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)))))
✓	31.9b	(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
	43.5b	(+.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) eps))
	31.8b	(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	44.7b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
✓	53.7b	(+.f64 eps (neg.f64 x))
✓	26.7b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
✓	31.8b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
	43.5b	(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1)))
	31.8b	(.f64 eps (-.f64 1 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))
	41.6b	(*.f64 1 (sin.f64 eps))
	44.0b	eps
	61.3b	0

Compiler

Compiled 1261 to 859 computations (31.9% saved)

regimes510.0ms (0.7%)

Counts

77 → 3

Calls

Call 1

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

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

Calls

3 calls:

215.0ms	x
139.0ms	eps
53.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
16.0b	3	`x`
14.5b	3	`eps`
15.5b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1479 to 724 computations (51% saved)

bsearch73.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	9.050075013881604e-17	1920518169.507417
32.0ms	-2.856913980954724e-6	-5.275727854061322e-9

Results

26.0ms	69×	body	1024	valid
24.0ms	173×	body	256	valid
17.0ms	59×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 492 to 374 computations (24% saved)

regimes223.0ms (0.3%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

114.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
67.0ms	x
36.0ms	eps

Results

Error	Segments	Branch
16.4b	3	`x`
14.5b	3	`eps`
15.5b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 247 to 122 computations (50.6% saved)

bsearch84.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	9.050075013881604e-17	1920518169.507417
35.0ms	-2.856913980954724e-6	-5.275727854061322e-9

Results

28.0ms	174×	body	256	valid
26.0ms	73×	body	1024	valid
13.0ms	52×	body	512	valid
9.0ms	5×	body	2048	valid

Compiler

Compiled 492 to 374 computations (24% saved)

regimes40.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))

Calls

3 calls:

12.0ms	x
12.0ms	eps
11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
26.7b	1	`x`
26.7b	1	`eps`
26.7b	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 221 to 108 computations (51.1% saved)

regimes15.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
26.7b	1	`x`
26.7b	1	`eps`

Compiler

Compiled 57 to 35 computations (38.6% saved)

regimes12.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 1 (sin.f64 eps))

Calls

2 calls:

6.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
41.6b	1	`x`
41.6b	1	`eps`

Compiler

Compiled 46 to 29 computations (37% saved)

regimes7.0ms (0%)

Accuracy

Total -18.3b remaining (-41.7%)

Threshold costs -18.3b (-41.7%)

Counts

3 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (neg.f64 x))

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
44.0b	1	`x`
44.0b	1	`eps`

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	235

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -3022314549036573/2361183241434822606848) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3984496719921263/147573952589676412928) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)) eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(if (<=.f64 eps -1357680363825023/1180591620717411303424) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3246626956972881/147573952589676412928) (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 1 (sin.f64 eps))
eps
0

Outputs
(if (<=.f64 eps -3022314549036573/2361183241434822606848) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3984496719921263/147573952589676412928) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)) eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(if (<=.f64 eps -1357680363825023/1180591620717411303424) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3246626956972881/147573952589676412928) (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 1 (sin.f64 eps))
eps
0

Compiler

Compiled 98 to 68 computations (30.6% saved)

soundness130.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

796×	`rational_best-simplify-47`
782×	`rational_best-simplify-1`
688×	`rational_best-simplify-44`
664×	`rational_best-simplify-62`
636×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	5987
1	757	5577
2	2099	5429

Stop Event

1×	node limit

Compiler

Compiled 46 to 33 computations (28.3% saved)

end53.0ms (0.1%)

Compiler: Compiled 86 to 45 computations (47.7% saved)