Details

analyze454.0ms (2.7%)

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)

sample3.9s (22.9%)

Results

2.0s	3630×	body	1024	valid
1.1s	1266×	body	2048	valid
424.0ms	1434×	body	512	valid
336.0ms	1921×	body	256	valid
7.0ms	5×	body	4096	valid

Bogosity

preprocess58.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

732×	`rational_best-simplify-96`
724×	`rational_best-simplify-61`
716×	`rational_best-simplify-117`
712×	`rational_best-simplify-65`
592×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	70	42
2	316	42
3	1959	42
0	2	2

Stop Event

1×	saturated
1×	node limit

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)

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

956×	`rational_best-simplify-1`
690×	`rational_best-simplify-18`
682×	`rational_best-simplify-20`
412×	`rational_best-simplify-124`
410×	`rational_best-simplify-127`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	36	21
2	164	21
3	1017	21
4	7061	21

Stop Event

1×	node limit

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

38.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	3.8b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`rational_best-simplify-1`
690×	`rational_best-simplify-18`
682×	`rational_best-simplify-20`
412×	`rational_best-simplify-124`
410×	`rational_best-simplify-127`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	36	32
2	164	32
3	1017	32
4	7064	32

Stop Event

1×	node limit

Counts

2 → 37

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best-simplify-1`
738×	`rational_best-simplify-21`
734×	`rational_best-simplify-20`
708×	`rational_best-simplify-18`
404×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4793
1	1063	4679
2	6766	4659

Stop Event

1×	node limit

Counts

85 → 91

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

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

eval56.0ms (0.3%)

Compiler: Compiled 4171 to 2248 computations (46.1% saved)

prune59.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	72	19	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	20	92

Error

16.6b

Counts

92 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.9b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	40.5b	(if (!=.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0) (/.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
	42.1b	(if (!=.f64 (tan.f64 x) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
	39.0b	(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (.f64 (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (-.f64 (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1)) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))))
▶	39.0b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	38.9b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	61.2b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
▶	39.3b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	53.5b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
	52.9b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (tan.f64 x))
	40.6b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	31.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	33.4b	(+.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))))
	33.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))))
▶	33.4b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
	33.3b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))) (cos.f64 x)) (.f64 1/6 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))))))
	33.1b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))))))
	33.1b	(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
	33.0b	(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))

Compiler

Compiled 2121 to 1228 computations (42.1% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
✓	0.2b	(pow.f64 (cos.f64 eps) 2)
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	2.4b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 56 to 26 computations (53.6% saved)

series9.0ms (0.1%)

Counts

4 → 44

Calls

18 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`rational_best-simplify-52`
970×	`rational_best-simplify-53`
776×	`rational_best-simplify-1`
610×	`rational_best-simplify-21`
610×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	27	72
2	137	72
3	837	72
4	5618	72

Stop Event

1×	node limit

Counts

4 → 16

Calls

Call 1

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

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

728×	`rational_best-simplify-61`
708×	`rational_best-simplify-65`
702×	`rational_best-simplify-113`
614×	`rational_best-simplify-96`
598×	`rational_best-simplify-117`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1862
1	425	1754
2	2333	1708

Stop Event

1×	node limit

Counts

60 → 67

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/3 (*.f64 x (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (*.f64 -1/3 (pow.f64 eps 4))))
(+.f64 (.f64 x (pow.f64 eps 2)) (.f64 x (*.f64 -1/3 (pow.f64 eps 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 2/45 (*.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (.f64 x (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 x (pow.f64 eps 2)) (+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (.f64 x (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 2/45 (.f64 x (pow.f64 eps 6))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/315 (*.f64 x (pow.f64 eps 8))))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (+.f64 (.f64 x (.f64 2/45 (pow.f64 eps 6))) (.f64 -1/315 (.f64 x (pow.f64 eps 8)))) (.f64 x (*.f64 -1/3 (pow.f64 eps 4)))))
(+.f64 (.f64 x (pow.f64 eps 2)) (+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (+.f64 (.f64 x (.f64 2/45 (pow.f64 eps 6))) (.f64 -1/315 (*.f64 x (pow.f64 eps 8))))))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (pow.f64 eps 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (+.f64 (pow.f64 eps 2) (.f64 -1/3 (pow.f64 eps 4))) (.f64 2/45 (pow.f64 eps 6)))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2)))
(+.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 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (*.f64 -1/315 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (*.f64 -1/315 (pow.f64 eps 8)))))
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 (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 1 (+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4))))
(+.f64 1 (-.f64 (*.f64 (pow.f64 eps 4) 1/3) (pow.f64 eps 2)))
(+.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 1 (+.f64 (.f64 (pow.f64 eps 2) -1) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45))))
(+.f64 (.f64 (pow.f64 eps 6) -2/45) (-.f64 1 (+.f64 (pow.f64 eps 2) (.f64 -1/3 (pow.f64 eps 4)))))
(-.f64 (+.f64 1 (.f64 (pow.f64 eps 6) -2/45)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(+.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 x (pow.f64 eps 2)) (.f64 x (*.f64 (pow.f64 eps 4) 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 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (neg.f64 x)))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 x 1/3)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (.f64 x 2/3))) (.f64 (pow.f64 eps 6) (+.f64 (.f64 x 2/45) (-.f64 (.f64 x -1/3) (*.f64 x -2/3)))))
(+.f64 (.f64 x (pow.f64 eps 2)) (+.f64 (.f64 x (.f64 (pow.f64 eps 4) 2/3)) (.f64 (pow.f64 eps 6) (+.f64 (.f64 x 2/45) (.f64 x 1/3)))))
(+.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 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 x 1/3)))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x -1/315) (+.f64 (.f64 1/3 (-.f64 (.f64 x -1/3) (neg.f64 x))) (+.f64 (.f64 -1 (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 x 1/3)))) (.f64 x -2/45)))))))
(+.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 2/45) (-.f64 (.f64 x -1/3) (.f64 x -2/3)))) (.f64 (pow.f64 eps 8) (+.f64 (.f64 x -1/315) (-.f64 (.f64 1/3 (.f64 x -2/3)) (-.f64 (.f64 x -2/45) (+.f64 (.f64 x 2/45) (-.f64 (.f64 x -1/3) (*.f64 x -2/3)))))))))
(+.f64 (.f64 x (pow.f64 eps 2)) (+.f64 (.f64 x (.f64 (pow.f64 eps 4) 2/3)) (+.f64 (.f64 (pow.f64 eps 6) (+.f64 (.f64 x 2/45) (.f64 x 1/3))) (.f64 (pow.f64 eps 8) (+.f64 (.f64 x -1/315) (-.f64 (.f64 x 2/45) (+.f64 (.f64 x -2/45) (+.f64 (.f64 x 2/9) (.f64 x -1/3)))))))))
(/.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))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)) -1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(+.f64 (pow.f64 (cos.f64 eps) 2) 0)
(pow.f64 (cos.f64 eps) 2)
(+.f64 0 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (cos.f64 eps) 2)
(-.f64 (pow.f64 (cos.f64 eps) 2) 0)
(pow.f64 (cos.f64 eps) 2)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cos.f64 eps) 2) 1)
(pow.f64 (cos.f64 eps) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) -1)
(pow.f64 (cos.f64 eps) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(/.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) -1)
(pow.f64 (cos.f64 eps) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 eps)
✓	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)

series3.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`rational_best-simplify-105`
766×	`rational_best-simplify-96`
686×	`rational_best-simplify-61`
680×	`rational_best-simplify-65`
512×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	49	45
2	281	45
3	1901	45

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational_best-simplify-61`
1074×	`rational_best-simplify-65`
1052×	`rational_best-simplify-96`
756×	`rational_best-simplify-62`
654×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1820
1	583	1806
2	3528	1782

Stop Event

1×	node limit

Counts

68 → 82

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 -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)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0))
(+.f64 0 (-.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 (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(/.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -2)
(/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (+.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(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))))
(if (!=.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 (tan.f64 x) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 (neg.f64 (tan.f64 x)) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 0) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0) (/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0)) 0) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (cos.f64 eps) 0)
(-.f64 0 (neg.f64 (cos.f64 eps)))
(*.f64 -1 (neg.f64 (cos.f64 eps)))
(*.f64 (neg.f64 (cos.f64 eps)) -1)
(/.f64 (neg.f64 (cos.f64 eps)) -1)
(neg.f64 (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 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7))) eps))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.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)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) (-.f64 eps (/.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 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 eps (+.f64 (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (-.f64 (.f64 2/15 (pow.f64 eps 5)) (/.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)) (/.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 (sin.f64 eps) (cos.f64 eps)) 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 x) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.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 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 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)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/24 (pow.f64 eps 4)))
(-.f64 (-.f64 1 (.f64 (pow.f64 eps 2) 1/2)) (.f64 (pow.f64 eps 4) -1/24))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (-.f64 1 (.f64 (pow.f64 eps 2) 1/2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (-.f64 1 (.f64 (pow.f64 eps 2) 1/2)) (-.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 (pow.f64 eps 4) -1/24)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 0 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (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)) (tan.f64 x))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(-.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)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(-.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)) (tan.f64 x))
(/.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -2)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 2)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (+.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) -4)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (+.f64 (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (+.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(-.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)) (tan.f64 x))
(if (!=.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 (tan.f64 x) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 (neg.f64 (tan.f64 x)) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 0) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0) (/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0)) 0) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(-.f64 0 (neg.f64 (cos.f64 eps)))
(cos.f64 eps)
(*.f64 -1 (neg.f64 (cos.f64 eps)))
(cos.f64 eps)
(*.f64 (neg.f64 (cos.f64 eps)) -1)
(cos.f64 eps)
(/.f64 (neg.f64 (cos.f64 eps)) -1)
(cos.f64 eps)
(neg.f64 (neg.f64 (cos.f64 eps)))
(cos.f64 eps)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
✓	1.2b	(-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
✓	1.2b	(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
✓	3.8b	(tan.f64 (+.f64 eps x))

Compiler

Compiled 86 to 24 computations (72.1% saved)

series9.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Expression
3.0ms	eps	@	(-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
1.0ms	x	@	(-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
0.0ms	eps	@	(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
0.0ms	eps	@	(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
0.0ms	eps	@	(tan.f64 (+.f64 eps x))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`rational_best-simplify-96`
902×	`rational_best-simplify-65`
880×	`rational_best-simplify-61`
604×	`rational_best-simplify-110`
536×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	86
1	71	86
2	405	86
3	2773	86

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

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

simplify171.0ms (1%)

Algorithm

1×	egg-herbie

Rules

522×	`rational_best-simplify-62`
450×	`rational_best-simplify-124`
444×	`rational_best-simplify-126`
440×	`rational_best-simplify-127`
410×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	278	10965
1	1269	10643

Stop Event

1×	node limit

Counts

161 → 159

Calls

Call 1

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

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

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓	0.3b	(pow.f64 (cos.f64 x) 2)
✓	0.3b	(pow.f64 (sin.f64 x) 2)
✓	4.1b	(*.f64 (pow.f64 eps 2) (sin.f64 x))

Compiler

Compiled 150 to 91 computations (39.3% saved)

series4.0ms (0%)

Counts

4 → 16

Calls

15 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational_best-simplify-53`
776×	`rational_best-simplify-1`
752×	`rational_best-simplify-52`
588×	`rational_best-simplify-21`
588×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	28	66
2	135	66
3	824	66
4	5547	66

Stop Event

1×	node limit

Counts

4 → 20

Calls

Call 1

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

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

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

718×	`rational_best-simplify-124`
596×	`rational_best-simplify-65`
584×	`rational_best-simplify-61`
536×	`rational_best-simplify-96`
524×	`rational_best-simplify-117`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	936
1	376	930
2	1947	918

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(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))))
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 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 (.f64 (pow.f64 eps 2) (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2)) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))))
(neg.f64 (.f64 (-.f64 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))) (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2)) (pow.f64 eps 2)))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (.f64 1/120 (pow.f64 x 5)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/5040 (pow.f64 x 7))) (.f64 (pow.f64 eps 2) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (.f64 1/120 (pow.f64 x 5)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (*.f64 -1/5040 (pow.f64 x 7))))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (.f64 -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 2/45 (pow.f64 x 6))) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (*.f64 -1/315 (pow.f64 x 8))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 4) 1/3) (+.f64 1 (.f64 (pow.f64 x 2) -1)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/3) (+.f64 (.f64 (pow.f64 x 2) -1) (*.f64 (pow.f64 x 6) -2/45))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 6) -2/45))))
(+.f64 1 (-.f64 (-.f64 (.f64 (pow.f64 x 6) -2/45) (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 4))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.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 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 8) 62/315) (*.f64 (pow.f64 x 6) 17/45))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) (*.f64 (pow.f64 x 8) 62/315)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (-.f64 (.f64 (pow.f64 x 8) 62/315) (*.f64 (pow.f64 x 6) -17/45))))
(-.f64 (.f64 (pow.f64 eps 2) (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2)) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))))
(.f64 (pow.f64 eps 2) (-.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2) (.f64 (sin.f64 (neg.f64 x)) (cos.f64 0))))
(neg.f64 (.f64 (-.f64 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))) (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2)) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (-.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) 2) (.f64 (sin.f64 (neg.f64 x)) (cos.f64 0))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.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 (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 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
✓	0.2b	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
✓	1.2b	(-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
	3.8b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 222 to 27 computations (87.8% saved)

series18.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
2.0ms	x	@	0	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
2.0ms	eps	@	-inf	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
1.0ms	eps	@	0	(*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
1.0ms	x	@	-inf	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`rational_best-simplify-111`
824×	`rational_best-simplify-96`
800×	`rational_best-simplify-61`
756×	`rational_best-simplify-65`
632×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	277
1	65	225
2	348	225
3	2310	225

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

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

(-.f64 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))

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

Outputs

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simplify228.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

824×	`rational_best-simplify-65`
814×	`rational_best-simplify-61`
768×	`rational_best-simplify-62`
718×	`rational_best-simplify-113`
584×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	22435
1	2263	21795

Stop Event

1×	node limit

Counts

151 → 203

Calls

Call 1

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

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

eval1.8s (10.6%)

Compiler: Compiled 118299 to 41293 computations (65.1% saved)

prune736.0ms (4.3%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1406	21	1427
Fresh	6	8	14
Picked	1	0	1
Done	2	3	5
Total	1415	32	1447

Error

15.4b

Counts

1447 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	39.7b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (+.f64 (+.f64 (.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))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 -1/2 (.f64 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (.f64 -1 (pow.f64 x 3))) (+.f64 (/.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 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	56.8b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
▶	39.3b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	38.5b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.1b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.1b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	35.7b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	29.2b	(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
▶	29.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	51.7b	(-.f64 (/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) (tan.f64 x))
	41.8b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
	51.6b	(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
▶	53.5b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
	52.9b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	54.6b	(-.f64 eps (tan.f64 x))
✓	31.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	33.4b	(+.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))))
▶	32.0b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	42.4b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
	33.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))))
	42.5b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))))
✓	33.4b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
	33.6b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
	33.3b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))) (cos.f64 x)) (.f64 1/6 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))))))
	33.1b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))))))
	33.1b	(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
	33.0b	(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
	58.9b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 3165 to 1743 computations (44.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
	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	@	0	(-.f64 eps (tan.f64 x))
0.0ms	eps	@	-inf	(-.f64 eps (tan.f64 x))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational_best-simplify-53`
788×	`rational_best-simplify-1`
784×	`rational_best-simplify-52`
566×	`rational_best-simplify-21`
566×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	31	11
2	134	11
3	835	11
4	5904	11

Stop Event

1×	node limit

Counts

1 → 28

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

974×	`rational_best-simplify-61`
960×	`rational_best-simplify-96`
954×	`rational_best-simplify-65`
658×	`rational_best-simplify-62`
642×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	884
1	478	774
2	2927	762

Stop Event

1×	node limit

Counts

52 → 44

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	0.3b	(pow.f64 (sin.f64 eps) 2)
	2.4b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 47 to 23 computations (51.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-simplify-105`
640×	`rational_best-simplify-96`
634×	`rational_best-simplify-117`
624×	`rational_best-simplify-61`
610×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	41	43
2	261	43
3	1746	43

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

758×	`rational_best-simplify-111`
750×	`rational_best-simplify-96`
716×	`rational_best-simplify-113`
710×	`rational_best-simplify-61`
704×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1484
1	383	1484
2	2278	1484

Stop Event

1×	node limit

Counts

40 → 32

Calls

Call 1

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

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

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (cos.f64 x) 2)
	0.3b	(pow.f64 (sin.f64 x) 2)
	4.1b	(*.f64 (pow.f64 eps 2) (sin.f64 x))
✓	7.0b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))

Compiler

Compiled 246 to 142 computations (42.3% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
1.0ms	eps	@	0	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
1.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
1.0ms	x	@	-inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
1.0ms	x	@	0	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`rational_best-simplify-53`
828×	`rational_best-simplify-1`
806×	`rational_best-simplify-56`
604×	`rational_best-simplify-52`
562×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	139
1	121	139
2	752	139
3	5155	139

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs

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

Outputs

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simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational_best-simplify-61`
868×	`rational_best-simplify-3`
850×	`rational_best-simplify-62`
732×	`rational_best-simplify-1`
612×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	129	6890
1	570	6872
2	4254	6872

Stop Event

1×	node limit

Counts

58 → 54

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x))) (neg.f64 (tan.f64 x))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))))
(+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x))))
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(if (!=.f64 (+.f64 (tan.f64 x) (-.f64 (.f64 eps (-.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x))))) 0) (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (-.f64 (.f64 eps (-.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x))))) 0) (.f64 (-.f64 (+.f64 (.f64 eps (+.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)) (-.f64 (+.f64 (.f64 eps (+.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)))) (+.f64 (tan.f64 x) (-.f64 (.f64 eps (-.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))))) (-.f64 (+.f64 (.f64 eps (+.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)))
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Outputs
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 eps (pow.f64 x 2)) eps))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 5/6) (*.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)))))
(+.f64 eps (+.f64 (.f64 eps (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 x 3) (.f64 (pow.f64 eps 2) -4/3)))))
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(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (tan.f64 x) (*.f64 eps (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(if (!=.f64 (+.f64 (tan.f64 x) (-.f64 (.f64 eps (-.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x))))) 0) (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (-.f64 (.f64 eps (-.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x))))) 0) (.f64 (-.f64 (+.f64 (.f64 eps (+.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)) (-.f64 (+.f64 (.f64 eps (+.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)))) (+.f64 (tan.f64 x) (-.f64 (.f64 eps (-.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))))) (-.f64 (+.f64 (.f64 eps (+.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 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)))
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localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
	0.2b	(*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
	1.2b	(-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
	3.8b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 275 to 34 computations (87.6% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational_best-simplify-61`
1082×	`rational_best-simplify-3`
674×	`rational_best-simplify-53`
632×	`rational_best-simplify-1`
608×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	161
1	106	161
2	635	161
3	4336	161

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs

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

Outputs

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simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

576×	`rational_best-simplify-127`
576×	`rational_best-simplify-124`
574×	`rational_best-simplify-126`
568×	`rational_best-simplify-65`
552×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	236	11398
1	1398	11284

Stop Event

1×	node limit

Counts

46 → 63

Calls

Call 1

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

eval1.1s (6.6%)

Compiler: Compiled 95068 to 31381 computations (67% saved)

prune379.0ms (2.2%)

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1049	20	1069
Fresh	1	23	24
Picked	1	0	1
Done	4	3	7
Total	1055	46	1101

Error

15.3b

Counts

1101 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	39.7b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (+.f64 (+.f64 (.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))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 -1/2 (.f64 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (.f64 -1 (pow.f64 x 3))) (+.f64 (/.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 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	59.7b	(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	56.8b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (pow.f64 (.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) 2)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.6b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.6b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.7b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
▶	39.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
▶	38.5b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.1b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.1b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	35.7b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
▶	29.2b	(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	44.1b	(/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
✓	29.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	42.2b	(/.f64 (sin.f64 eps) 1)
	51.7b	(-.f64 (/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) (tan.f64 x))
	41.8b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
	51.6b	(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
	52.9b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	55.6b	(-.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))
▶	55.1b	(-.f64 eps x)
✓	31.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	33.4b	(+.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))))
▶	42.4b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
	33.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))))
	42.5b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))))
	37.2b	(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
	32.0b	(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	47.4b	(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 eps (pow.f64 x 2)) eps))
	33.6b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
	33.3b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))) (cos.f64 x)) (.f64 1/6 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))))))
	33.1b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))))))
	33.4b	(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
	33.1b	(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
	46.0b	(+.f64 eps (*.f64 (pow.f64 eps 2) x))
	32.9b	(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	44.8b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
	33.0b	(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	58.9b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	44.4b	eps

Compiler

Compiled 4070 to 2167 computations (46.8% saved)

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
	0.3b	(pow.f64 (sin.f64 eps) 2)
	1.2b	(-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
	3.8b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 169 to 55 computations (67.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

eps

inf

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))

0.0ms

eps

-inf

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))

0.0ms

eps

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational_best-simplify-105`
1008×	`rational_best-simplify-96`
904×	`rational_best-simplify-61`
894×	`rational_best-simplify-65`
578×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	59	47
2	364	47
3	2499	47

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

854×	`rational_best-simplify-61`
814×	`rational_best-simplify-65`
802×	`rational_best-simplify-96`
572×	`rational_best-simplify-62`
480×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1287
1	426	1281
2	2876	1269

Stop Event

1×	node limit

Counts

29 → 37

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
✓	0.0b	(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))

Compiler

Compiled 43 to 24 computations (44.2% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-simplify-52`
810×	`rational_best-simplify-1`
600×	`rational_best-simplify-113`
586×	`rational_best-simplify-21`
586×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	34	32
2	145	32
3	895	32
4	6447	32

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))) (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))) (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))) (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3))))) (+.f64 (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1) (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3)))) (*.f64 (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))) (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))))) (-.f64 4 (*.f64 -2 (+.f64 x (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1) (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3))))) (*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))) (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))))) (-.f64 (*.f64 (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1) (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1)) (*.f64 (+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 1) (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 0) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 1/9)) (*.f64 x x)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (*.f64 x (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/3 (pow.f64 x 3)) 0) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 x 3) 1/9) (*.f64 x 1/3))) (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (*.f64 x (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 x 3) 1/3) 0) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 x 3) 1/9) (*.f64 x 1/3))) (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) 0) (/.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (+.f64 x (*.f64 (pow.f64 x 3) 1/3))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/3) x) 0) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 1/9)) (*.f64 x x)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

900×	`rational_best-simplify-61`
886×	`rational_best-simplify-65`
872×	`rational_best-simplify-96`
664×	`rational_best-simplify-3`
580×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1153
1	450	1153
2	2833	1153

Stop Event

1×	node limit

Counts

47 → 43

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(-.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) -1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(neg.f64 (*.f64 (pow.f64 x 3) 1/3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (neg.f64 x))
(+.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 0)
(+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 0 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) 1)
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) -1)
(.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))
(.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) -1)
(/.f64 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))) -2)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1))
(/.f64 (+.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) 2)
(/.f64 (+.f64 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))) (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3)))) -4)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3))))) (+.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1)))
(/.f64 (-.f64 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3)))) (.f64 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))) (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))))) (-.f64 4 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3))))) (.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))))) (-.f64 (.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1)) (.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))))))
(pow.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)
(neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))
(if (!=.f64 (+.f64 x (.f64 -1/3 (pow.f64 x 3))) 0) (/.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/9)) (.f64 x x)) (+.f64 x (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 3)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 x 1/3))) (.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (.f64 (pow.f64 x 3) 1/3) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 x 1/3))) (.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 0) (/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (+.f64 x (.f64 (pow.f64 x 3) 1/3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (-.f64 (.f64 (pow.f64 x 3) 1/3) x) 0) (/.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/9)) (.f64 x x)) (+.f64 x (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 -1 0) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 -1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) -1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(*.f64 -1/3 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (neg.f64 x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 0)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 0 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) 1)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) -1)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) -1)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))) -2)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) 2)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))) (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3)))) -4)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3))))) (+.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (-.f64 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3)))) (.f64 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))) (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 3) 1/3))))) (-.f64 4 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 3) 1/3))))))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3))))) (.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))))) (-.f64 (.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1)) (.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 1) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 3) 1/3)))))))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(pow.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) 1)
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(if (!=.f64 (+.f64 x (.f64 -1/3 (pow.f64 x 3))) 0) (/.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/9)) (.f64 x x)) (+.f64 x (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(if (!=.f64 (.f64 -1/3 (pow.f64 x 3)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 x 1/3))) (.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 3)) 0) (/.f64 (/.f64 (-.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) -1/9)) (pow.f64 x 3)) (/.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(if (!=.f64 (.f64 (pow.f64 x 3) 1/3) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 x 1/3))) (.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (.f64 (pow.f64 x 3) 1/3) 0) (/.f64 (/.f64 (-.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) -1/9)) (pow.f64 x 3)) (/.f64 -1/3 (pow.f64 x 3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) 0) (/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (+.f64 x (.f64 (pow.f64 x 3) 1/3))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(if (!=.f64 (-.f64 (.f64 (pow.f64 x 3) 1/3) x) 0) (/.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/9)) (.f64 x x)) (+.f64 x (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(if (!=.f64 -1 0) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

localize103.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (cos.f64 eps) 2)
	0.3b	(pow.f64 (sin.f64 eps) 2)
	1.2b	(-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
	3.8b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 184 to 59 computations (67.9% saved)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
	0.2b	(*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
	1.2b	(-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
	3.8b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 292 to 36 computations (87.7% saved)

eval1.6s (9.2%)

Compiler: Compiled 122634 to 45171 computations (63.2% saved)

prune865.0ms (5.1%)

Pruning

61 alts after pruning (54 fresh and 7 done)

	Pruned	Kept	Total
New	1355	19	1374
Fresh	3	35	38
Picked	1	0	1
Done	0	7	7
Total	1359	61	1420

Error

15.1b

Counts

1420 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	39.7b	(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (+.f64 (+.f64 (.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))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 -1/2 (.f64 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (.f64 -1 (pow.f64 x 3))) (+.f64 (/.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 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	59.7b	(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	59.9b	(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	56.2b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	56.8b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	56.3b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (pow.f64 (.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) 2)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.5b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (pow.f64 (.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) 2)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.6b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.5b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	50.9b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.8b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	49.7b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
✓	38.5b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	38.6b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	50.3b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	49.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	50.4b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	39.1b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	39.1b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	35.8b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	35.7b	(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	31.4b	(/.f64 (.f64 4 (if (!=.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	40.4b	(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	29.5b	(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
✓	29.2b	(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
	29.2b	(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
	44.1b	(/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
✓	29.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	42.2b	(/.f64 (sin.f64 eps) 1)
	51.7b	(-.f64 (/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) (tan.f64 x))
	41.8b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
	51.6b	(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
	52.9b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	55.6b	(-.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))
✓	55.1b	(-.f64 eps x)
✓	31.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	33.4b	(+.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))))
✓	42.4b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
	33.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))))
	54.5b	(+.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
	42.5b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))))
	37.2b	(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
	32.0b	(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	47.4b	(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 eps (pow.f64 x 2)) eps))
	33.6b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
	33.3b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))) (cos.f64 x)) (.f64 1/6 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))))))
	33.1b	(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))))))
	33.4b	(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
	33.1b	(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
	46.0b	(+.f64 eps (*.f64 (pow.f64 eps 2) x))
	32.9b	(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	44.8b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
	33.0b	(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	58.9b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	44.4b	eps

Compiler

Compiled 2811 to 1506 computations (46.4% saved)

regimes524.0ms (3.1%)

Counts

80 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))

Calls

3 calls:

162.0ms	x
142.0ms	eps
116.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 3521 to 1207 computations (65.7% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	7.11722866807919e-8	5.128302077739201e-7
56.0ms	-7.0988280565492445	-0.01224409235504949

Results

45.0ms	133×	body	256	valid
19.0ms	52×	body	1024	valid
9.0ms	35×	body	512	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 3368 to 2110 computations (37.4% saved)

regimes415.0ms (2.4%)

Counts

79 → 3

Calls

Call 1

Inputs
eps
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(/.f64 (sin.f64 eps) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(-.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 eps (pow.f64 x 2)) eps))
(-.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 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) (tan.f64 x))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))))
(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(if (!=.f64 (tan.f64 x) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(+.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 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (tan.f64 x))
(if (!=.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0) (/.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
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(/.f64 (.f64 4 (if (!=.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (.f64 (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (-.f64 (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1)) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (-.f64 -1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))))
(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (+.f64 (+.f64 (.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))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 -1/2 (.f64 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (.f64 -1 (pow.f64 x 3))) (+.f64 (/.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 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))

Outputs

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

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

(/.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))

Calls

3 calls:

138.0ms	eps
116.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.0ms	x

Results

Error	Segments	Branch
19.4b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 3322 to 1076 computations (67.6% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	7.11722866807919e-8	5.128302077739201e-7
35.0ms	-7.0988280565492445	-0.01224409235504949

Results

20.0ms	135×	body	256	valid
17.0ms	42×	body	1024	valid
11.0ms	40×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 1996 to 1256 computations (37.1% saved)

regimes271.0ms (1.6%)

Counts

76 → 3

Calls

Call 1

Inputs
eps
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(/.f64 (sin.f64 eps) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(-.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) 1/3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 eps (pow.f64 x 2)) eps))
(-.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 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (/.f64 (sin.f64 eps) (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) (tan.f64 x))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))))
(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(if (!=.f64 (tan.f64 x) 0) (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(+.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 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (tan.f64 x))
(if (!=.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0) (/.f64 (-.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -4) (.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (.f64 4 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(+.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))) (cos.f64 x)))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)))) (tan.f64 x))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (pow.f64 (.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) 2)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (pow.f64 (.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) 2)) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(if (!=.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 0) (/.f64 1 (/.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (.f64 4 (if (!=.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 0) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (.f64 (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (-.f64 (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1)) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))))))

Outputs

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

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

(/.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))

Calls

3 calls:

87.0ms	eps
87.0ms	x
50.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.5b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 3000 to 871 computations (71% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	7.11722866807919e-8	5.128302077739201e-7
35.0ms	-7.0988280565492445	-0.01224409235504949

Results

21.0ms	133×	body	256	valid
17.0ms	48×	body	1024	valid
9.0ms	35×	body	512	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 1898 to 1158 computations (39% saved)

regimes267.0ms (1.6%)

Counts

75 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (*.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))

Calls

3 calls:

87.0ms	x
86.0ms	eps
50.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.5b	3	`x`
17.4b	3	`eps`
18.4b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 2906 to 808 computations (72.2% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	7.11722866807919e-8	5.128302077739201e-7
34.0ms	-5.5203767577359264e-5	-5.566607170542391e-8

Results

27.0ms	72×	body	1024	valid
17.0ms	115×	body	256	valid
8.0ms	30×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 1072 to 570 computations (46.8% saved)

regimes314.0ms (1.8%)

Counts

65 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

108.0ms	x
100.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
71.0ms	eps

Results

Error	Segments	Branch
19.5b	3	`x`
17.4b	3	`eps`
18.4b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 2149 to 675 computations (68.6% saved)

bsearch105.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	7.11722866807919e-8	5.128302077739201e-7
33.0ms	-5.5203767577359264e-5	-5.566607170542391e-8

Results

68.0ms	56×	body	1024	valid
18.0ms	128×	body	256	valid
8.0ms	33×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 700 to 486 computations (30.6% saved)

regimes127.0ms (0.7%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	x
43.0ms	eps
26.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.6b	3	`x`
17.6b	3	`eps`
18.4b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 616 to 261 computations (57.6% saved)

bsearch72.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	7.11722866807919e-8	5.128302077739201e-7
28.0ms	-5.5203767577359264e-5	-5.566607170542391e-8

Results

40.0ms	139×	body	256	valid
16.0ms	42×	body	1024	valid
11.0ms	40×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 392 to 290 computations (26% saved)

regimes109.0ms (0.6%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	x
28.0ms	eps
22.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.8b	3	`x`
17.6b	3	`eps`
18.5b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 186 to 97 computations (47.8% saved)

bsearch59.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	7.11722866807919e-8	5.128302077739201e-7
30.0ms	-5.5203767577359264e-5	-5.566607170542391e-8

Results

24.0ms	53×	body	1024	valid
18.0ms	128×	body	256	valid
11.0ms	42×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 392 to 304 computations (22.4% saved)

regimes31.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
9.0ms	x
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`eps`
29.1b	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 173 to 89 computations (48.6% saved)

regimes11.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
42.2b	1	`x`
42.2b	1	`eps`

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -10.8b remaining (-24.2%)

Threshold costs -10.8b (-24.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
44.4b	1	`x`
44.4b	1	`eps`

Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2850

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -7782220156096217/288230376151711744) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))) (cos.f64 x)) (.f64 1/6 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4)))))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -3098476543630901/144115188075855872) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -1188950301625811/36028797018963968) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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))))))))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -8116567392432203/147573952589676412928) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -8116567392432203/147573952589676412928) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -61796592646927/18446744073709551616) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -3984496719921263/73786976294838206464) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 8500259669165361/18889465931478580854784) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) 1)
eps

Outputs
(if (<=.f64 eps -7782220156096217/288230376151711744) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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)))))) (cos.f64 x)) (.f64 1/6 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4)))))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -3098476543630901/144115188075855872) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.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 -1/2 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 1/6 (/.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 (sin.f64 x) (.f64 (pow.f64 eps 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -1188950301625811/36028797018963968) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 eps 2) (sin.f64 x))) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1/6 (-.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))))))))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -8116567392432203/147573952589676412928) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))) (/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (.f64 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))))
(if (<=.f64 eps -8116567392432203/147573952589676412928) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -61796592646927/18446744073709551616) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 4722366482869645/9444732965739290427392) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -3984496719921263/73786976294838206464) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 8500259669165361/18889465931478580854784) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) 1)
eps

Compiler

Compiled 936 to 498 computations (46.8% saved)

soundness94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best-simplify-1`
738×	`rational_best-simplify-21`
734×	`rational_best-simplify-20`
708×	`rational_best-simplify-18`
404×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4793
1	1063	4679
2	6766	4659

Stop Event

1×	node limit

Compiler

Compiled 215 to 149 computations (30.7% saved)

end273.0ms (1.6%)

Compiler: Compiled 918 to 413 computations (55% saved)