Details

analyze304.0ms (1.4%)

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)

sample6.1s (28.9%)

Results

3.2s	3685×	body	1024	valid
1.5s	1265×	body	2048	valid
826.0ms	1367×	body	512	valid
471.0ms	1936×	body	256	valid
3.0ms	3×	body	4096	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

162×	`rational_best-simplify-2`
80×	`rational_best-simplify-44`
30×	`rational_best-simplify-5`
20×	`rational_best-simplify-1`
16×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	46	42
2	98	42
3	124	42
4	149	42
5	167	42
6	172	42
7	217	42
8	261	42
9	264	42
10	267	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

116×	`rational_best-simplify-2`
58×	`rational_best-simplify-44`
22×	`rational_best-simplify-5`
14×	`rational_best-simplify-1`
10×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	32	21
2	70	21
3	89	21
4	107	21
5	120	21
6	123	21
7	156	21
8	188	21
9	190	21
10	192	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

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%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	4.2b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite207.0ms (1%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

826×	`rational_best-5`
826×	`rational_best-5`
824×	`rational_best-4`
824×	`rational_best-2`
824×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	88	32
2	409	32
3	1608	32
4	7213	32
0	7	11
1	64	11
2	284	11
3	1129	11
4	4966	11
0	7	11
1	64	11
2	284	11
0	9	21
1	88	21
2	409	21
3	1608	21
4	7213	21
0	9	21
1	88	21
2	409	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 29

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

Outputs

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

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

simplify312.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-48`
1034×	`rational_best-simplify-1`
974×	`rational_best-simplify-44`
760×	`rational_best-simplify-43`
702×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	3627
1	460	3541
2	922	3471
3	2859	3343
4	4675	3343

Stop Event

1×	node limit

Counts

77 → 109

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 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(.f64 (tan.f64 (+.f64 x eps)) (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(.f64 (I.f64) (/.f64 (-.f64 0 (-.f64 (.f64 (cis.f64 x) (cis.f64 eps)) (cis.f64 (neg.f64 (+.f64 x eps))))) (+.f64 (cis.f64 (neg.f64 (+.f64 x eps))) (*.f64 (cis.f64 x) (cis.f64 eps)))))
(.f64 (/.f64 (-.f64 0 (-.f64 (.f64 (cis.f64 x) (cis.f64 eps)) (cis.f64 (neg.f64 (+.f64 x eps))))) (+.f64 (cis.f64 (neg.f64 (+.f64 x eps))) (*.f64 (cis.f64 x) (cis.f64 eps)))) (I.f64))
(.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 (tan.f64 (+.f64 x eps)) 1)
(/.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2)
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(*.f64 (-.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 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(.f64 (I.f64) (-.f64 (/.f64 (-.f64 0 (-.f64 (.f64 (cis.f64 x) (cis.f64 eps)) (/.f64 1 (.f64 (cis.f64 x) (cis.f64 eps))))) (+.f64 (/.f64 1 (.f64 (cis.f64 x) (cis.f64 eps))) (*.f64 (cis.f64 x) (cis.f64 eps)))) (/.f64 (-.f64 0 (-.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) (+.f64 (/.f64 1 (cis.f64 x)) (cis.f64 x)))))
(.f64 (/.f64 1 (-.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 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.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 (+.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 (+.f64 x eps)) (tan.f64 x)) 2) 2)
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))

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

eval80.0ms (0.4%)

Compiler: Compiled 5255 to 3137 computations (40.3% saved)

prune55.0ms (0.3%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	88	21	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	22	110

Error

16.5b

Counts

110 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.0b	(-.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))
	38.5b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	40.3b	(-.f64 (+.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))) (tan.f64 x))
	56.2b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))) (tan.f64 x))
▶	56.3b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x))
	40.3b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
	40.2b	(-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))
	39.9b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	39.0b	(-.f64 (.f64 (tan.f64 (+.f64 x eps)) (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.4b	(-.f64 (tan.f64 x) (tan.f64 x))
▶	38.4b	(-.f64 (tan.f64 eps) (tan.f64 x))
	32.2b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) -1/3)) (pow.f64 eps 4))))))
	33.7b	(+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))
	34.0b	(+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (.f64 (+.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 (pow.f64 x 3) (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) 1/2)))))))
	36.4b	(+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x)))
▶	32.1b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
▶	40.5b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	36.0b	(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))

Compiler

Compiled 1685 to 1108 computations (34.2% saved)

localize21.0ms (0.1%)

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))
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	0.3b	(pow.f64 (cos.f64 eps) 2)
✓	4.0b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 50 to 26 computations (48% saved)

series9.0ms (0%)

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	@	-inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
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))

rewrite212.0ms (1%)

Algorithm

4×	egg-rewrite-iter-limit
4×	egg-rewrite
1×	batch-egg-rewrite

Rules

822×	`rational_best-5`
822×	`rational_best-2`
822×	`rational_best-3`
822×	`rational_best-1`
822×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	102	72
2	395	72
3	1573	72
4	7364	72
0	9	17
1	77	17
2	301	17
3	1190	17
4	5451	17
0	9	17
1	77	17
2	301	17
0	7	11
1	62	11
2	253	11
3	959	11
4	4312	11
0	7	11
1	62	11
2	253	11
0	7	11
1	62	11
2	250	11
3	962	11
4	4406	11
0	7	11
1	62	11
2	250	11
0	12	33
1	102	33
2	395	33
3	1573	33
4	7364	33
0	12	33
1	102	33
2	395	33

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

4 → 39

Calls

Call 1

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

simplify524.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best-simplify-132`
994×	`rational_best-simplify-2`
952×	`rational_best-simplify-1`
756×	`rational_best-simplify-47`
678×	`rational_best-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	2321
1	263	2223
2	649	2199
3	2031	2199
4	3936	2195
5	7438	2195

Stop Event

1×	node limit

Counts

83 → 91

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (tan.f64 eps) (tan.f64 x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite126.0ms (0.6%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

762×	`rational_best-5`
760×	`rational_best-4`
760×	`rational_best-2`
760×	`rational_best-3`
760×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	80	15
2	380	15
3	1479	15
4	6653	15
0	8	15
1	80	15
2	380	15

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify181.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best-simplify-78`
908×	`rational_best-simplify-132`
806×	`rational_best-simplify-43`
794×	`rational_best-simplify-2`
656×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	674
1	188	674
2	355	674
3	1116	674
4	2724	674
5	5282	674

Stop Event

1×	node limit

Counts

38 → 43

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
✓	0.7b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	4.2b	(sin.f64 (+.f64 eps x))
✓	4.3b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 48 to 10 computations (79.2% saved)

series3.0ms (0%)

Counts

4 → 64

Calls

24 calls:

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

rewrite145.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational_best-5`
1118×	`rational_best-2`
1118×	`rational_best-3`
1118×	`rational_best-1`
1116×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	126	54
2	535	54
3	2109	54

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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

simplify261.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

982×	`rational_best-simplify-49`
946×	`rational_best-simplify-44`
850×	`rational_best-simplify-80`
782×	`rational_best-simplify-78`
776×	`rational_best-simplify-94`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	25769809289
1	767	25769808967
2	2171	25769808965
3	4411	25769808405

Stop Event

1×	node limit

Counts

147 → 232

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
	0.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	4.2b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 72 to 16 computations (77.8% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
2.0ms	eps	@	0	(/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms	x	@	0	(/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms	x	@	-inf	(/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms	x	@	inf	(/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

rewrite154.0ms (0.7%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

942×	`rational_best-5`
942×	`rational_best-5`
940×	`rational_best-4`
940×	`rational_best-2`
940×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	107	80
2	461	80
3	1842	80
0	12	53
1	107	53
2	461	53
3	1842	53
0	12	53
1	107	53
0	11	27
1	99	27
2	433	27
3	1710	27
4	7719	27
0	11	27
1	99	27
2	433	27

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	node limit
1×	node limit

Counts

2 → 15

Calls

Call 1

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

Outputs

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

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

simplify214.0ms (1%)

Algorithm

1×	egg-herbie

Rules

832×	`rational_best-simplify-54`
824×	`rational_best-simplify-47`
680×	`rational_best-simplify-2`
644×	`rational_best-simplify-1`
574×	`rational_best-simplify-132`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	3735
1	364	3607
2	695	3531
3	1480	3379
4	3924	3379
5	6552	3379

Stop Event

1×	node limit

Counts

63 → 60

Calls

Call 1

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

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

localize178.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cos.f64 x) 2)
✓	0.3b	(pow.f64 (sin.f64 x) 2)
✓	2.2b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x))
✓	4.5b	(.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))

Compiler

Compiled 224 to 132 computations (41.1% saved)

series11.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational_best-5`
1430×	`rational_best-2`
1430×	`rational_best-3`
1430×	`rational_best-1`
1428×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	206
1	187	198
2	701	186
3	2820	186

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

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

Outputs
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simplify166.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

980×	`rational_best-simplify-2`
902×	`rational_best-simplify-132`
712×	`rational_best-simplify-1`
538×	`rational_best-simplify-44`
536×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	9827
1	448	9577
2	1365	9197
3	3649	8829

Stop Event

1×	node limit

Counts

129 → 167

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 5/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 61/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 5/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 277/1008 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 61/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 5/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
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))))
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(.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
(.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
(.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))
(.f64 (neg.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) -1)
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (-.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (.f64 2 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))) (.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) 1)
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) 2)
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) -1)
(neg.f64 (neg.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
(+.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 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 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 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 5/6 (.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 5/6 (pow.f64 x 3))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 5/6 (pow.f64 x 3)) x))
(.f64 (pow.f64 eps 2) (+.f64 x (.f64 5/6 (pow.f64 x 3))))
(+.f64 (.f64 61/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 5/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 5/6 (pow.f64 x 3))) (.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (+.f64 (.f64 61/120 (pow.f64 x 5)) (.f64 5/6 (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (+.f64 (.f64 5/6 (pow.f64 x 3)) (.f64 61/120 (pow.f64 x 5)))))
(+.f64 (.f64 277/1008 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 61/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 5/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (.f64 5/6 (pow.f64 x 3)))) (+.f64 (.f64 61/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 (pow.f64 eps 2) (*.f64 277/1008 (pow.f64 x 7)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 5/6 (pow.f64 x 3)) x)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 277/1008 (pow.f64 x 7)) (*.f64 61/120 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 5/6 (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 277/1008 (pow.f64 x 7)) (*.f64 61/120 (pow.f64 x 5)))))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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eps
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(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))) (.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.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) (*.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 eps (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.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 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) 1)
(+.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 eps (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.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 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.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) (*.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 eps (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.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 2 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) 2)
(+.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 eps (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.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 (neg.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) -1)
(+.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 eps (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.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)))
(neg.f64 (neg.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.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) (*.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 eps (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.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 (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 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (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 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 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 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(pow.f64 (cos.f64 x) 2)

eval777.0ms (3.7%)

Compiler: Compiled 51635 to 27170 computations (47.4% saved)

prune760.0ms (3.6%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	956	23	979
Fresh	8	8	16
Picked	0	1	1
Done	3	2	5
Total	967	34	1001

Error

15.4b

Counts

1001 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	28.9b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	41.3b	(-.f64 (/.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (.f64 (cos.f64 eps) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	39.0b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	53.8b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
	38.6b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
▶	60.4b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	38.9b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
▶	55.9b	(-.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
	56.2b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))) (tan.f64 x))
✓	56.3b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x))
▶	40.3b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
	40.2b	(-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))
	39.9b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	36.4b	(+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) -1/3)) (pow.f64 eps 4))))))
	34.0b	(+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps))) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3)))))
	38.9b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (neg.f64 (*.f64 2 (tan.f64 x))))
	33.7b	(+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))
	36.7b	(+.f64 (.f64 3 (+.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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 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 (pow.f64 eps 2) (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) -2))
✓	32.1b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
	30.5b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (neg.f64 (pow.f64 eps 2)))))
	32.5b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1))
	49.6b	(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
	39.2b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	41.2b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))))
	41.5b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.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 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	54.9b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (+.f64 (/.f64 1 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	36.0b	(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	59.4b	(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
▶	28.8b	(tan.f64 eps)
▶	59.4b	(neg.f64 (tan.f64 x))
	47.4b	eps

Compiler

Compiled 2493 to 1620 computations (35% saved)

localize3.0ms (0%)

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

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 x) (cos.f64 x))
✓	0.2b	(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
✓	1.0b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	4.3b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

15 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`rational_best-5`
1016×	`rational_best-2`
1016×	`rational_best-3`
1016×	`rational_best-1`
1014×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	114	57
2	490	57
3	1916	57

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (/.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (/.f64 1 (/.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (I.f64) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (I.f64) (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) (I.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (I.f64)) (*.f64 (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) (*.f64 (I.f64) (I.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 x)))))

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

158×	`rational_best-simplify-2`
90×	`rational_best-simplify-1`
56×	`rational_best-simplify-44`
38×	`rational_best-simplify-43`
22×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	17179875018
1	581	17179875018

Stop Event

1×

unsound

Counts

98 → 124

Calls

Call 1

Inputs
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 x (cos.f64 eps))
(+.f64 (/.f64 x (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 x (cos.f64 eps)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (/.f64 x (cos.f64 eps)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps))))) (pow.f64 x 3)) (/.f64 (.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 0 (*.f64 (tan.f64 x) 2)))
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 1)
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))
(*.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 1)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 0)
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 0)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 1)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (tan.f64 x) 0)
(+.f64 0 (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(*.f64 (tan.f64 x) 1)
(*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (/.f64 1 (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (tan.f64 x))
(*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))
(*.f64 (I.f64) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))
(.f64 (I.f64) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) (I.f64))
(.f64 (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))
(.f64 (/.f64 1 (I.f64)) (.f64 (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) (*.f64 (I.f64) (I.f64))))
(.f64 (/.f64 1 (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (/.f64 (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(tan.f64 x)

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

localize32.0ms (0.2%)

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))
	0.2b	(pow.f64 (cos.f64 x) 2)
	0.3b	(pow.f64 (sin.f64 x) 2)
✓	7.0b	(-.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 96 to 51 computations (46.9% saved)

series76.0ms (0.4%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
74.0ms	x	@	-inf	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1.0ms	eps	@	inf	(-.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	0	(-.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	-inf	(-.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational_best-5`
1052×	`rational_best-2`
1052×	`rational_best-3`
1052×	`rational_best-1`
1050×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	86
1	151	86
2	544	66
3	2120	66

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps eps)) (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps eps)) (neg.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (*.f64 2 (tan.f64 x))) (-.f64 0 (*.f64 2 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (*.f64 2 (tan.f64 x))) (-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps eps)) (*.f64 2 (+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (-.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -2) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (-.f64 (+.f64 eps eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 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simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-54`
932×	`rational_best-simplify-80`
914×	`rational_best-simplify-48`
850×	`rational_best-simplify-78`
830×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	3266
1	300	3260
2	661	3248
3	1631	3104
4	4784	3008

Stop Event

1×	node limit

Counts

80 → 88

Calls

Call 1

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

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

localize142.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sin.f64 eps) 2)
	0.3b	(pow.f64 (cos.f64 eps) 2)
✓	0.9b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
✓	4.3b	(*.f64 (sin.f64 eps) (pow.f64 x 2))

Compiler

Compiled 217 to 126 computations (41.9% saved)

series13.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(*.f64 (sin.f64 eps) (pow.f64 x 2))
2.0ms	eps	@	-inf	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
2.0ms	eps	@	inf	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
1.0ms	x	@	inf	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
1.0ms	eps	@	0	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational_best-5`
1632×	`rational_best-2`
1632×	`rational_best-3`
1632×	`rational_best-1`
1630×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	202	146
2	784	146
3	3130	146

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify340.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-132`
978×	`rational_best-simplify-2`
952×	`rational_best-simplify-54`
916×	`rational_best-simplify-1`
782×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	5359
1	295	5359
2	557	5311
3	1562	5311
4	3907	5311
5	7536	5311

Stop Event

1×	node limit

Counts

61 → 78

Calls

Call 1

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

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

eval699.0ms (3.3%)

Compiler: Compiled 18274 to 9580 computations (47.6% saved)

prune170.0ms (0.8%)

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	481	14	495
Fresh	2	24	26
Picked	0	1	1
Done	2	5	7
Total	485	44	529

Error

15.3b

Counts

529 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	59.1b	(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
▶	28.9b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	41.3b	(-.f64 (/.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (.f64 (cos.f64 eps) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
▶	53.8b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
	38.6b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	59.2b	(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
▶	61.2b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
	60.3b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	59.7b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	38.9b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	56.2b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))) (tan.f64 x))
✓	56.3b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x))
✓	40.3b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
	40.5b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
	40.2b	(-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))
▶	61.2b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	39.9b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	36.4b	(+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) -1/3)) (pow.f64 eps 4))))))
	34.0b	(+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps))) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3)))))
	55.9b	(+.f64 (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 2 (tan.f64 x))) (*.f64 2 (neg.f64 (tan.f64 x))))
	38.9b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (neg.f64 (*.f64 2 (tan.f64 x))))
	33.7b	(+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))
	36.7b	(+.f64 (.f64 3 (+.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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 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 (pow.f64 eps 2) (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) -2))
✓	32.1b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
	30.5b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (neg.f64 (pow.f64 eps 2)))))
	32.5b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1))
	62.2b	(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))
	42.0b	(.f64 (/.f64 1 (-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps)))) (tan.f64 x))) (.f64 (-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps)))) (tan.f64 x)) (-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps)))) (tan.f64 x))))
	36.0b	(.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
	49.6b	(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
	49.5b	(.f64 (/.f64 1 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
	49.5b	(.f64 (/.f64 1 eps) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps eps)))
	39.2b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	41.2b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))))
	41.5b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.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 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	54.9b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (+.f64 (/.f64 1 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	36.0b	(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps)
▶	59.4b	(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
✓	28.8b	(tan.f64 eps)
✓	59.4b	(neg.f64 (tan.f64 x))
	47.4b	eps

Compiler

Compiled 3357 to 2056 computations (38.8% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite44.0ms (0.2%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

606×	`rational_best-5`
606×	`rational_best-2`
606×	`rational_best-3`
606×	`rational_best-1`
604×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	69	5
2	298	5
3	1155	5
4	5442	5
0	7	5
1	69	5
2	298	5

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify215.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-47`
1182×	`rational_best-simplify-80`
1142×	`rational_best-simplify-78`
1140×	`rational_best-simplify-94`
1132×	`rational_best-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	177
1	85	177
2	176	177
3	493	177
4	3476	177
5	7921	177

Stop Event

1×	node limit

Counts

17 → 20

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 (tan.f64 eps) 0)
(+.f64 0 (tan.f64 eps))
(-.f64 (tan.f64 eps) 0)
(*.f64 (tan.f64 eps) 1)
(*.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (tan.f64 eps)))
(.f64 (tan.f64 eps) (.f64 (/.f64 1 (tan.f64 eps)) (tan.f64 eps)))
(*.f64 1 (tan.f64 eps))
(*.f64 (I.f64) (/.f64 (-.f64 (cis.f64 (neg.f64 eps)) (cis.f64 eps)) (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps)))))
(.f64 (I.f64) (.f64 1 (/.f64 (-.f64 (cis.f64 (neg.f64 eps)) (cis.f64 eps)) (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps))))))
(.f64 (/.f64 1 (tan.f64 eps)) (.f64 (tan.f64 eps) (tan.f64 eps)))
(.f64 (.f64 (tan.f64 eps) (tan.f64 eps)) (/.f64 1 (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 (cis.f64 (neg.f64 eps)) (cis.f64 eps)) (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps)))) (I.f64))
(tan.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 eps (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(+.f64 (.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 (tan.f64 eps) 0)
(tan.f64 eps)
(+.f64 0 (tan.f64 eps))
(tan.f64 eps)
(-.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (tan.f64 eps) 1)
(tan.f64 eps)
(*.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (tan.f64 eps)))
(tan.f64 eps)
(.f64 (tan.f64 eps) (.f64 (/.f64 1 (tan.f64 eps)) (tan.f64 eps)))
(tan.f64 eps)
(*.f64 1 (tan.f64 eps))
(tan.f64 eps)
(*.f64 (I.f64) (/.f64 (-.f64 (cis.f64 (neg.f64 eps)) (cis.f64 eps)) (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps)))))
(tan.f64 eps)
(.f64 (I.f64) (.f64 1 (/.f64 (-.f64 (cis.f64 (neg.f64 eps)) (cis.f64 eps)) (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps))))))
(tan.f64 eps)
(.f64 (/.f64 1 (tan.f64 eps)) (.f64 (tan.f64 eps) (tan.f64 eps)))
(tan.f64 eps)
(.f64 (.f64 (tan.f64 eps) (tan.f64 eps)) (/.f64 1 (tan.f64 eps)))
(tan.f64 eps)
(*.f64 (/.f64 (-.f64 (cis.f64 (neg.f64 eps)) (cis.f64 eps)) (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps)))) (I.f64))
(tan.f64 eps)
(tan.f64 eps)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 x) (cos.f64 x))

Compiler

Compiled 20 to 8 computations (60% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
	0.1b	(/.f64 (sin.f64 x) (cos.f64 x))
✓	0.7b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
	4.2b	(sin.f64 (+.f64 eps x))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational_best-5`
1020×	`rational_best-2`
1020×	`rational_best-3`
1020×	`rational_best-1`
1018×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	114	52
2	487	52
3	1919	52

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify206.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational_best-simplify-2`
862×	`rational_best-simplify-132`
820×	`rational_best-simplify-44`
718×	`rational_best-simplify-1`
464×	`rational_best-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2719
1	374	2543
2	699	2531
3	1995	2307
4	3846	2307
5	6970	2307

Stop Event

1×	node limit

Counts

73 → 104

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 eps 4) (sin.f64 x)) (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 -1/2 (cos.f64 eps)))) (+.f64 2/15 (.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 3)) (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 3)) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 -1/2 (cos.f64 eps)))) (.f64 1/24 (cos.f64 eps)))) (pow.f64 x 5)) (sin.f64 eps))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (-.f64 0 (*.f64 (tan.f64 x) 2)))
(*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) 1)
(*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))))
(*.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) -1)
(.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(.f64 (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) 1)
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) 2) -2)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0)
(+.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0)
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))

Outputs
eps
(+.f64 eps (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 eps 4) (sin.f64 x)) (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))))
(+.f64 eps (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/24 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (cos.f64 x))))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))) (.f64 1/24 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (cos.f64 x))))))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 1/24 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (cos.f64 x))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 x) (pow.f64 eps 4)) (cos.f64 x))) (+.f64 eps (.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 -1 (cos.f64 eps))) (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 -1/2 (cos.f64 eps)))) (+.f64 2/15 (.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 (cos.f64 eps) 1/120) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 -1/2 (cos.f64 eps)))) (+.f64 2/15 (.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)))))
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(.f64 (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) 1)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) -1)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x)) 2) 2)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) 2) -2)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0)
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0)
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
	4.3b	(cos.f64 (+.f64 eps x))
✓	16.5b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
✓	22.0b	(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 105 to 24 computations (77.1% saved)

series15.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
1.0ms	x	@	-inf	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
0.0ms	eps	@	0	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
0.0ms	x	@	0	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
0.0ms	x	@	0	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`rational_best-5`
1534×	`rational_best-2`
1534×	`rational_best-3`
1534×	`rational_best-1`
1532×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	203
1	158	71
2	667	71
3	2752	71

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))

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

(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (*.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (*.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (*.f64 (I.f64) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (*.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (*.f64 (I.f64) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (tan.f64 x) (I.f64)) (fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))))))

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

842×	`rational_best-simplify-1`
740×	`rational_best-simplify-80`
736×	`rational_best-simplify-78`
646×	`rational_best-simplify-94`
634×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	265	17179873269
1	578	17179873199
2	1142	17179873083
3	2728	17179873081
4	4810	17179873081

Stop Event

1×	node limit

Counts

101 → 118

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 x 4)
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (.f64 4/3 (pow.f64 x 6)) (+.f64 (.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))
(+.f64 (.f64 848/945 (pow.f64 x 10)) (+.f64 (.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(+.f64 (tan.f64 x) 0)
(+.f64 0 (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(/.f64 (tan.f64 x) 1)
(/.f64 (tan.f64 x) (/.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(tan.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 0 (*.f64 (tan.f64 x) 2)))
(*.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 1)
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 1)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 2) 2)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) 2)
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (I.f64) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (I.f64) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (I.f64)) (fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))

Outputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7)))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6))))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (+.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/6) 1/3)))) (+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 1/3 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 (/.f64 1 (cos.f64 eps)) 1/6))))))
(+.f64 (+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (+.f64 1/3 (*.f64 (/.f64 1 (cos.f64 eps)) 1/6))))))
(+.f64 (.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6))))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6)))) (cos.f64 eps))))) (*.f64 -1 (pow.f64 x 4))))))
(+.f64 (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6)))) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) -1/3)) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (+.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/6) 1/3)))) (+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 1/3 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6))))) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6)))) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) -1/3)) (neg.f64 (pow.f64 x 4))))))
(+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (+.f64 1/3 (.f64 (/.f64 1 (cos.f64 eps)) 1/6))))) (+.f64 (.f64 x (+.f64 (/.f64 1 (cos.f64 eps)) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (.f64 (/.f64 1 (cos.f64 eps)) 1/6)))) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) -1/3)) (neg.f64 (pow.f64 x 4))))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (tan.f64 x))))))
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(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 1)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 2) 2)
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) -2) 2)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) 2)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (I.f64)))))
(fabs.f64 (.f64 (fabs.f64 (I.f64)) (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (I.f64) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (I.f64)))))
(fabs.f64 (.f64 (fabs.f64 (I.f64)) (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (I.f64) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (I.f64)))))
(fabs.f64 (.f64 (fabs.f64 (I.f64)) (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (I.f64)) (fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 (/.f64 1 (cis.f64 x)) (-.f64 0 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (I.f64))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (I.f64)))))
(fabs.f64 (.f64 (fabs.f64 (I.f64)) (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (/.f64 (+.f64 (-.f64 0 (cis.f64 x)) (/.f64 1 (cis.f64 x))) (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))))))))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
✓	4.3b	(cos.f64 (+.f64 x eps))
✓	13.6b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	21.9b	(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))

Compiler

Compiled 251 to 26 computations (89.6% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational_best-5`
1392×	`rational_best-2`
1392×	`rational_best-3`
1392×	`rational_best-1`
1390×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	434
1	166	318
2	665	110
3	2739	110

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational_best-simplify-132`
1078×	`rational_best-simplify-2`
948×	`rational_best-simplify-49`
702×	`rational_best-simplify-1`
616×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	4294974943
1	767	4294974779
2	1765	4294974779
3	3742	4294974777

Stop Event

1×	node limit

Counts

159 → 190

Calls

Call 1

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

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

eval394.0ms (1.9%)

Compiler: Compiled 54571 to 15204 computations (72.1% saved)

prune755.0ms (3.6%)

Pruning

62 alts after pruning (54 fresh and 8 done)

	Pruned	Kept	Total
New	952	24	976
Fresh	3	30	33
Picked	1	0	1
Done	2	8	10
Total	958	62	1020

Error

15.3b

Counts

1020 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	59.1b	(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
✓	28.9b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	41.3b	(-.f64 (/.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (.f64 (cos.f64 eps) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	60.2b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
	53.7b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (tan.f64 x))
	38.6b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	59.2b	(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
	60.3b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	59.7b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	60.6b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
	53.4b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
	55.9b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 x (cos.f64 eps))) (.f64 (pow.f64 x 3) (*.f64 (cos.f64 eps) 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
	56.2b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))) (tan.f64 x))
✓	56.3b	(-.f64 (+.f64 (tan.f64 x) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x))
✓	40.3b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
	40.5b	(-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) (tan.f64 x))
	40.2b	(-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))
	56.0b	(-.f64 (+.f64 eps (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
	56.6b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	61.2b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	61.3b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	62.3b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 2 (/.f64 (.f64 eps (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	60.6b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	61.3b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	60.5b	(-.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
	54.7b	(-.f64 (.f64 (/.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
	39.9b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	38.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	36.4b	(+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))))
	36.3b	(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) -1/3)) (pow.f64 eps 4))))))
	34.0b	(+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps))) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3)))))
	55.9b	(+.f64 (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 2 (tan.f64 x))) (*.f64 2 (neg.f64 (tan.f64 x))))
	38.9b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (neg.f64 (*.f64 2 (tan.f64 x))))
	33.7b	(+.f64 (+.f64 (tan.f64 eps) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))
	51.0b	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps)))
	46.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	36.7b	(+.f64 (.f64 3 (+.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 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 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 (pow.f64 eps 2) (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) -2))
	60.3b	(+.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 2 (tan.f64 x)))))
✓	32.1b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
	30.5b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (neg.f64 (pow.f64 eps 2)))))
	32.5b	(+.f64 (tan.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1))
	47.8b	(+.f64 eps (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))
	42.0b	(.f64 (/.f64 1 (-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps)))) (tan.f64 x))) (.f64 (-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps)))) (tan.f64 x)) (-.f64 (+.f64 (tan.f64 eps) (+.f64 (.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (/.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))) (cos.f64 eps)))) (tan.f64 x))))
	36.0b	(.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
	49.6b	(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))))
	49.5b	(.f64 (/.f64 1 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
	36.3b	(.f64 (/.f64 1 (tan.f64 eps)) (.f64 (tan.f64 eps) (tan.f64 eps)))
	49.5b	(.f64 (/.f64 1 eps) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps eps)))
	39.2b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	41.2b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (+.f64 (tan.f64 eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) x)) (tan.f64 x))))
	41.5b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.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 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	54.9b	(.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (.f64 (+.f64 (/.f64 1 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	36.0b	(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) eps)
✓	59.4b	(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
	59.4b	(.f64 -1 (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
	59.4b	(.f64 -1 (.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (tan.f64 x)))
	61.8b	(*.f64 -1 x)
✓	28.8b	(tan.f64 eps)
	44.6b	(sin.f64 eps)
✓	59.4b	(neg.f64 (tan.f64 x))
	47.4b	eps

Compiler

Compiled 2254 to 1311 computations (41.8% saved)

regimes1.2s (5.7%)

Counts

83 → 3

Calls

Call 1

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

Outputs

(tan.f64 eps)

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

(tan.f64 eps)

Calls

3 calls:

426.0ms	eps
367.0ms	x
178.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.1b	3	`eps`
18.5b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 2692 to 1150 computations (57.3% saved)

bsearch225.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.015413701924408e-5	6.600659972484378e-5
202.0ms	-19.679848143928186	-1.730427713603102e-6

Results

184.0ms	57×	body	1024	valid
18.0ms	131×	body	256	valid
10.0ms	28×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 2534 to 1704 computations (32.8% saved)

regimes936.0ms (4.4%)

Counts

82 → 3

Calls

Call 1

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

Outputs

(tan.f64 eps)

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

(tan.f64 eps)

Calls

3 calls:

342.0ms	eps
304.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
191.0ms	x

Results

Error	Segments	Branch
19.4b	3	`x`
17.2b	3	`eps`
18.5b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 2520 to 1038 computations (58.8% saved)

bsearch213.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.015413701924408e-5	6.600659972484378e-5
191.0ms	-19.679848143928186	-1.730427713603102e-6

Results

160.0ms	13×	body	2048	valid
22.0ms	62×	body	1024	valid
19.0ms	127×	body	256	valid
6.0ms	22×	body	512	valid

Compiler

Compiled 1400 to 976 computations (30.3% saved)

regimes986.0ms (4.7%)

Counts

76 → 3

Calls

Call 1

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

Outputs

(tan.f64 eps)

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

(tan.f64 eps)

Calls

3 calls:

399.0ms	eps
318.0ms	x
215.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
19.5b	3	`x`
17.4b	3	`eps`
18.6b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1912 to 658 computations (65.6% saved)

bsearch51.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.3785697458570257e-6	1.4109460219657741e-6
50.0ms	-1.730427713603102e-6	-2.0301748505564874e-30

Results

24.0ms	46×	body	1024	valid
14.0ms	107×	body	256	valid
5.0ms	8×	body	2048	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 487 to 340 computations (30.2% saved)

regimes393.0ms (1.9%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

3 calls:

194.0ms	eps
100.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
79.0ms	x

Results

Error	Segments	Branch
19.7b	3	`x`
17.5b	3	`eps`
18.6b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 907 to 322 computations (64.5% saved)

bsearch63.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.3785697458570257e-6	1.4109460219657741e-6
62.0ms	-1.730427713603102e-6	-2.0301748505564874e-30

Results

34.0ms	48×	body	1024	valid
15.0ms	100×	body	256	valid
8.0ms	22×	body	512	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 245 to 197 computations (19.6% saved)

regimes124.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

Outputs
(tan.f64 eps)

Calls

3 calls:

92.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
28.8b	1	`x`
28.8b	1	`eps`
28.8b	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 226 to 92 computations (59.3% saved)

regimes202.0ms (1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

198.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
44.6b	1	`x`
44.6b	1	`eps`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0%)

Accuracy

Total -15.0b remaining (-31.5%)

Threshold costs -15.0b (-31.5%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(*.f64 -1 x)

Outputs
eps

Calls

2 calls:

6.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
47.4b	1	`x`
47.4b	1	`eps`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1103

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -8762203435012037/2305843009213693952) (tan.f64 eps) (if (<=.f64 eps 4796153459164483/73786976294838206464) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) -1/3)) (pow.f64 eps 4)))))) (tan.f64 eps)))
(if (<=.f64 eps -5476377146882523/576460752303423488) (tan.f64 eps) (if (<=.f64 eps 4796153459164483/73786976294838206464) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))) (tan.f64 eps)))
(if (<=.f64 eps -8028023020878397/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 6611313076017503/4722366482869645213696) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x))) (tan.f64 eps)))
(if (<=.f64 eps -5289050460814003/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 6611313076017503/4722366482869645213696) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 eps)))
(tan.f64 eps)
(sin.f64 eps)
eps

Outputs
(if (<=.f64 eps -8762203435012037/2305843009213693952) (tan.f64 eps) (if (<=.f64 eps 4796153459164483/73786976294838206464) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) -1/3)) (pow.f64 eps 4)))))) (tan.f64 eps)))
(if (<=.f64 eps -5476377146882523/576460752303423488) (tan.f64 eps) (if (<=.f64 eps 4796153459164483/73786976294838206464) (+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))) (tan.f64 eps)))
(if (<=.f64 eps -8028023020878397/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 6611313076017503/4722366482869645213696) (+.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (cos.f64 x))) (tan.f64 eps)))
(if (<=.f64 eps -5289050460814003/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 6611313076017503/4722366482869645213696) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 eps)))
(tan.f64 eps)
(sin.f64 eps)
eps

Compiler

Compiled 378 to 253 computations (33.1% saved)

soundness953.0ms (4.5%)

Algorithm

3×	egg-herbie

Rules

1526×	`rational_best-simplify-78`
1134×	`rational_best-simplify-48`
1134×	`rational_best-simplify-48`
1034×	`rational_best-simplify-1`
1034×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	3627
1	460	3541
2	922	3471
3	2859	3343
4	4675	3343
0	83	674
1	188	674
2	355	674
3	1116	674
4	2724	674
5	5282	674
0	198	3627
1	460	3541
2	922	3471
3	2859	3343
4	4675	3343

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 239 to 164 computations (31.4% saved)

end536.0ms (2.5%)

Compiler: Compiled 366 to 231 computations (36.9% saved)

Iter	Nodes	Cost
0	13	42
1	46	42
2	98	42
3	124	42
4	149	42
5	167	42
6	172	42
7	217	42
8	261	42
9	264	42
10	267	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	32	21
2	70	21
3	89	21
4	107	21
5	120	21
6	123	21
7	156	21
8	188	21
9	190	21
10	192	21

Iter	Nodes	Cost
0	13	42
1	46	42
2	98	42
3	124	42
4	149	42
5	167	42
6	172	42
7	217	42
8	261	42
9	264	42
10	267	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	32	21
2	70	21
3	89	21
4	107	21
5	120	21
6	123	21
7	156	21
8	188	21
9	190	21
10	192	21

Iter	Nodes	Cost
0	13	42
1	46	42
2	98	42
3	124	42
4	149	42
5	167	42
6	172	42
7	217	42
8	261	42
9	264	42
10	267	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	32	21
2	70	21
3	89	21
4	107	21
5	120	21
6	123	21
7	156	21
8	188	21
9	190	21
10	192	21