Details

analyze188.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.4s (14.9%)

Results

606.0ms	2011×	body	1024	valid
578.0ms	5194×	body	256	valid
220.0ms	1047×	body	512	valid
2.0ms	4×	body	2048	valid

Bogosity

preprocess94.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1894×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1028×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
560×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	21	47
2	38	47
3	91	47
4	328	47
5	2384	47
6	6582	47
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1894×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1028×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
560×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	21	47
2	38	47
3	91	47
4	328	47
5	2384	47
6	6582	47

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% 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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16 to 8 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 13 computations (66.7% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`rational.json-1`
1612×	`rational.json-2`
1612×	`rational.json-4`
1612×	`rational.json-3`
1598×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	104
1	80	104
2	212	104
3	532	104
4	1795	104
5	5541	104

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 4) (.f64 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simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational.json-simplify-38`
1166×	`rational.json-simplify-61`
1090×	`rational.json-simplify-35`
788×	`rational.json-simplify-49`
718×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	6889
1	1267	6629
2	6572	6469

Stop Event

1×	node limit

Counts

229 → 262

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(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 (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 (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 (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))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
1
(+.f64 1 (pow.f64 x 2))
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(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
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(.f64 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(.f64 1/2 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 1/4 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) -2) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
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(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(-.f64 0 (*.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))
(-.f64 0 (-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 2))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 4))
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(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (.f64 2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))
(/.f64 2 (fabs.f64 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))))))
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(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 -1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))
(.f64 2 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 2 (.f64 (/.f64 -1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(.f64 (/.f64 -1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 -1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 (.f64 (/.f64 -1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) 2)
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(pow.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 0 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 -1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (+.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 1/2)
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) -1)
(.f64 1/2 (+.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 1/4 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(.f64 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 2)
(/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(/.f64 (.f64 2 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(/.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
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(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
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(+.f64 1 (+.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6))) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
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(/.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))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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1
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(.f64 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
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(.f64 1/2 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
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(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) -2) -2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
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(*.f64 (tan.f64 x) (tan.f64 x))
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(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
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(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(-.f64 0 (-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
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(*.f64 (tan.f64 x) (tan.f64 x))
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(.f64 (+.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 1/2)
(.f64 1/2 (+.f64 2 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))
(.f64 1/2 (+.f64 2 (.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 1/2 (+.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(.f64 1/2 (+.f64 2 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))
(.f64 1/2 (+.f64 2 (.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 1/4 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 2)
(/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) 2)
(/.f64 (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) 2)
(/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) -2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

eval118.0ms (1.2%)

Compiler: Compiled 11378 to 4199 computations (63.1% saved)

prune100.0ms (1%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	383	26	409
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	383	27	410

Error

0.1b

Counts

410 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	29.7b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	17.2b	(/.f64 (-.f64 1 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.8b	(/.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	15.6b	(/.f64 (-.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	25.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) (tan.f64 (neg.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	15.7b	(/.f64 (-.f64 1 (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	15.7b	(/.f64 (-.f64 1 (.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 (tan.f64 x) (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	28.9b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
	17.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 (neg.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 (neg.f64 x))))))))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))) (tan.f64 x))))
▶	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))))
	20.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (fabs.f64 (tan.f64 x))))) (neg.f64 (.f64 2 (fabs.f64 (tan.f64 x)))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 4 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	17.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (+.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	27.1b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	30.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
	30.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 1 (.f64 (pow.f64 x 2) -2)))
▶	29.8b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
▶	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))

Compiler

Compiled 1422 to 718 computations (49.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓	0.2b	(pow.f64 (sin.f64 x) 2)
✓	0.2b	(pow.f64 (cos.f64 x) 2)
✓	0.2b	(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))

Compiler

Compiled 70 to 43 computations (38.6% saved)

series5.0ms (0%)

Counts

4 → 16

Calls

12 calls:

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

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`rational.json-1`
1516×	`rational.json-2`
1516×	`rational.json-4`
1516×	`rational.json-3`
1508×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	89	82
2	212	82
3	489	82
4	1182	82
5	4285	82

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-2`
1344×	`rational.json-simplify-39`
780×	`rational.json-simplify-59`
600×	`rational.json-simplify-41`
590×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	334	5943
1	671	5841
2	3196	5513
3	5666	5401

Stop Event

1×	node limit

Counts

195 → 235

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0)
(+.f64 0 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 -1 (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(+.f64 (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1)
(*.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 2 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/2))
(*.f64 (-.f64 1 (/.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 4 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(.f64 (.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2)
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)
(.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1/4)
(.f64 1/2 (.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 1/4 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/2) 2)
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 4)
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(/.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 4)
(/.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) (.f64 2 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4))
(.f64 4 (pow.f64 (.f64 (cos.f64 x) 1/2) 2))
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 4))
(.f64 1/4 (pow.f64 (.f64 2 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2)
(.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 2) 8))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(.f64 (pow.f64 (.f64 (cos.f64 x) 1/2) 2) 4)
(.f64 (pow.f64 (.f64 2 (cos.f64 x)) 2) 1/4)
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(/.f64 -1 (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2)) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 4 (pow.f64 (.f64 (sin.f64 x) 1/2) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 x) 2) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(.f64 -1/2 (.f64 (pow.f64 (sin.f64 x) 2) -2))
(.f64 1/8 (.f64 (pow.f64 (sin.f64 x) 2) 8))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(.f64 (pow.f64 (.f64 (sin.f64 x) 1/2) 2) 4)
(.f64 (pow.f64 (.f64 (sin.f64 x) 2) 2) 1/4)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) 4)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2))))
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
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(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(.f64 -1 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))
(.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) 4)))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/4))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4) 1/4)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) (.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 1/2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (.f64 2 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) -2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1)
(.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/2) (/.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/4) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/2))
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 1/2 (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 -1 (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) (.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) 4)) 4)
(.f64 (.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2))) (.f64 (pow.f64 (sin.f64 x) 2) -2))
(.f64 (/.f64 1/2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4) 4)
(.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 8))
(.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) -2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))
(.f64 (/.f64 1 (neg.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) -2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(neg.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)))))

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite252.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2282×	`rational.json-simplify-35`
1826×	`rational.json-simplify-2`
1308×	`rational.json-simplify-1`
1176×	`exponential.json-3`
1176×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	95	13
3	179	13
4	316	13
5	678	13
6	1606	13
7	2660	13
8	3251	13
9	3958	13
10	4782	13
11	5269	13
12	5352	13
13	5474	13
14	5605	13
15	6160	13
16	7279	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (pow.f64 x 2)))))))

simplify262.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2276×	`rational.json-simplify-2`
1758×	`rational.json-simplify-35`
972×	`rational.json-simplify-48`
960×	`rational.json-simplify-43`
800×	`rational.json-simplify-1`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	99	1189
1	258	1037
2	470	1037
3	1188	1037
4	3251	1037
5	4619	1037
6	4892	1037
7	5112	1037
8	5355	1037
9	5611	1037
10	5898	1037
11	6147	581
12	6733	581
13	7735	581

Stop Event

1×	node limit

Counts

41 → 44

Calls

Call 1

Inputs
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(+.f64 -1 (-.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))
(+.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(+.f64 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -2)
(+.f64 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -3)
(-.f64 -2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(-.f64 1 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(-.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(/.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(/.f64 (*.f64 (pow.f64 x 2) -4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) -2)
(/.f64 (*.f64 (pow.f64 x 2) -8) 4)
(/.f64 (*.f64 (pow.f64 x 2) -16) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) -4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -16)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))) 64)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))))) 128)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))))) -64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))))) 256)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))))) -128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)))))) (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))))))) 1024)
(pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 2 (pow.f64 x 2)))

Outputs
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -2)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -3)
(+.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(-.f64 -2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 1 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 -1 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -4) 2)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -2)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -8) 4)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -16) 8)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -4)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -8)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -16)) 16)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -16)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) -32)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))) 64)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))) 8)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))))) 128)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))) 16)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))))) -64)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))))) 256)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 32)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))))) -128)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))))))) 512)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 64)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)))))) (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))))) 128)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))))))) 1024)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(neg.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 20 computations (60.8% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
1.0ms	x	@	0	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
1.0ms	x	@	-inf	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
0.0ms	x	@	inf	(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`rational.json-1`
1480×	`rational.json-2`
1480×	`rational.json-4`
1480×	`rational.json-3`
1470×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	101
1	96	95
2	222	95
3	507	95
4	1650	95
5	5084	95

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational.json-simplify-51`
934×	`rational.json-simplify-2`
848×	`rational.json-simplify-35`
834×	`rational.json-simplify-41`
760×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	173	3964
1	448	3948
2	1299	3948
3	3865	3948
4	7022	3948

Stop Event

1×	node limit

Counts

100 → 108

Calls

Call 1

Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(-.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 (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 (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 (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)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 2/45 (pow.f64 x 6)) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))) 1)
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 0)
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (.f64 2 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4))) 16)
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(-.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 -1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 -2 (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 4 (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 4 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 4 (+.f64 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(/.f64 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4) 4)
(/.f64 8 (+.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 8 (+.f64 (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4)) 8)
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)
(/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) 1/2)
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2)) (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4)) (.f64 2 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2)) (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (.f64 2 (neg.f64 (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (neg.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (neg.f64 (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
(pow.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(+.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(-.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(.f64 1 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 2 (/.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 (.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 (/.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(pow.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)

Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (pow.f64 x 2) (-.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 -1 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (-.f64 (.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 -1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))))
(-.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 2) -2)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 6) -4/45) (*.f64 (pow.f64 x 2) -2))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 6) -4/45) (*.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -4/45))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 4) -1/3) 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) -1/3) -1))
(+.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 (pow.f64 x 4) -1/3)))
(-.f64 (+.f64 (.f64 2/45 (pow.f64 x 6)) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 2/45))) -1)
(+.f64 -1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 6) 2/45) (.f64 (pow.f64 x 4) -1/3))))
(+.f64 -1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (.f64 (pow.f64 x 6) 2/45))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 0)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
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(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
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(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 1/2)
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(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
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(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) 8)
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(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (.f64 2 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4))) 16)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
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(/.f64 -1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))
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(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 -2 (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (+.f64 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4) 4)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 8 (+.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 8 (+.f64 (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.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)) 1))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4)) 8)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) 1/2)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2)) (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) 8)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4)) (.f64 2 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4))) 16)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2)) (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (.f64 2 (neg.f64 (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (neg.f64 (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 2 (/.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1/2 (.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
✓	23.7b	(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 99 to 16 computations (83.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`rational.json-simplify-35`
1300×	`rational.json-simplify-2`
1278×	`exponential.json-3`
1278×	`rational.json-1`
1278×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	80
1	70	40
2	222	40
3	939	40
4	4141	40

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

Inputs
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))

Outputs

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

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational.json-simplify-35`
840×	`rational.json-simplify-49`
800×	`rational.json-simplify-61`
770×	`rational.json-simplify-51`
646×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	6599
1	1219	6491
2	6082	6151

Stop Event

1×	node limit

Counts

191 → 218

Calls

Call 1

Inputs
(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 (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 (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 (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))
(pow.f64 x 3)
(+.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (+.f64 (.f64 88/189 (pow.f64 x 9)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 (neg.f64 x))))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 0 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 0 (tan.f64 (neg.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(.f64 1 (.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))) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (fabs.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
(.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) 2)))
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 (neg.f64 x)) (tan.f64 (neg.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (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) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)))
(.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) 2))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(.f64 (/.f64 (tan.f64 x) 2) (.f64 (tan.f64 x) 2))
(.f64 1/2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) 2)))
(.f64 (fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (fabs.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (fabs.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(.f64 (fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) (.f64 2 (fabs.f64 (tan.f64 x))))
(.f64 (fabs.f64 (/.f64 (tan.f64 x) 2)) (.f64 2 (fabs.f64 (tan.f64 x))))
(.f64 (fabs.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) (fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) 2)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)))
(.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))
(.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) 2))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (tan.f64 x) 2))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))))
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(pow.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 1)

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
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(/.f64 (+.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 4) (tan.f64 (neg.f64 x))) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 4) (tan.f64 (neg.f64 x)))) (+.f64 (/.f64 4 (tan.f64 (neg.f64 x))) (/.f64 4 (tan.f64 (neg.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(pow.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 1 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
✓	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
✓	24.5b	(/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))

Compiler

Compiled 143 to 41 computations (71.3% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`rational.json-simplify-50`
1140×	`exponential.json-3`
1140×	`rational.json-1`
1140×	`rational.json-2`
1140×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	206
1	133	142
2	499	86
3	2967	86

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 1 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-35`
1170×	`rational.json-simplify-2`
806×	`rational.json-simplify-55`
656×	`rational.json-simplify-51`
630×	`rational.json-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4785
1	862	4701
2	3416	4409

Stop Event

1×	node limit

Counts

191 → 184

Calls

Call 1

Inputs
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(pow.f64 (fabs.f64 (tan.f64 x)) 2)
(*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))
(+.f64 (.f64 2/3 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 4))) (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 4))) (+.f64 (.f64 17/45 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 6))) (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 4))) (+.f64 (.f64 17/45 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 6))) (+.f64 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2)) (.f64 62/315 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 8))))))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))) 2/3)
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (tan.f64 x) (/.f64 2 (.f64 2 (/.f64 1 (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (/.f64 1 (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.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 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 1 (/.f64 1 (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
(.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 1 (.f64 (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) 2)))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (fabs.f64 (/.f64 1 (.f64 (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (.f64 (tan.f64 x) 2))) (/.f64 1 (fabs.f64 (*.f64 (tan.f64 x) 2))))
(.f64 (fabs.f64 (.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (tan.f64 x) 2)))
(.f64 (fabs.f64 (.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (fabs.f64 (.f64 (tan.f64 x) 2)))))
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (fabs.f64 (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (.f64 (tan.f64 x) 2))) (/.f64 (tan.f64 x) (fabs.f64 (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 2 (.f64 2 (/.f64 1 (tan.f64 x)))) (tan.f64 x))
(.f64 (/.f64 2 (.f64 2 (/.f64 1 (tan.f64 x)))) (/.f64 2 (*.f64 2 (/.f64 1 (tan.f64 x)))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
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(*.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (tan.f64 x))
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(/.f64 (fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) 2)))) 2)
(/.f64 (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 4)))) 4)
(pow.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) 1)
(fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
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(fabs.f64 (.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (/.f64 2 (.f64 2 (/.f64 1 (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (-.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
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(-.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) (/.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
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(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (.f64 (tan.f64 x) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
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(.f64 (.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)
(.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (tan.f64 x)))
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(.f64 (/.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))
(*.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(.f64 (fabs.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(pow.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(fabs.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))

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

eval630.0ms (6.6%)

Compiler: Compiled 59722 to 25208 computations (57.8% saved)

prune578.0ms (6.1%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1733	22	1755
Fresh	11	10	21
Picked	1	0	1
Done	0	5	5
Total	1745	37	1782

Error

0.1b

Counts

1782 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	29.7b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))))
	17.2b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 2 (pow.f64 (sin.f64 x) 2)))))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	1.0b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.6b	(/.f64 (-.f64 1 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	15.6b	(/.f64 (-.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))) (.f64 (tan.f64 x) (tan.f64 (neg.f64 x))))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	15.7b	(/.f64 (-.f64 1 (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.5b	(/.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	17.1b	(/.f64 (-.f64 1 (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	28.9b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 (neg.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 (neg.f64 x))))) (.f64 (tan.f64 x) (tan.f64 x)))))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (/.f64 4 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 4)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (*.f64 (tan.f64 x) (tan.f64 x)))))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
✓	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	17.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
	0.4b	(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
▶	27.1b	(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶	27.1b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	30.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
	30.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 1 (.f64 (pow.f64 x 2) -2)))
✓	29.8b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	28.9b	(.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.4b	(.f64 (/.f64 1 (-.f64 -1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	29.7b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (pow.f64 x 2) 1))
✓	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	27.3b	1

Compiler

Compiled 1640 to 1018 computations (37.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 (tan.f64 x)))
✓	0.2b	(*.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (tan.f64 x))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.2b	(-.f64 1 (*.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (tan.f64 x)))

Compiler

Compiled 66 to 34 computations (48.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite101.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-simplify-54`
904×	`exponential.json-3`
904×	`rational.json-1`
904×	`rational.json-2`
904×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	80	41
2	194	41
3	481	41
4	2556	41

Stop Event

1×	node limit

Counts

3 → 291

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) (/.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 2) (/.f64 2 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 2) (-.f64 0 (*.f64 2 (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 2) (-.f64 0 (neg.f64 (/.f64 2 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (tan.f64 x)) (/.f64 (/.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 (/.f64 (/.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 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(tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 4) (/.f64 4 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 -1 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (tan.f64 x)) (/.f64 (/.f64 -1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) 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simplify164.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

764×	`rational.json-simplify-35`
694×	`rational.json-simplify-50`
620×	`rational.json-simplify-51`
608×	`rational.json-simplify-53`
600×	`rational.json-simplify-59`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	624	12629
1	2864	12297
2	5108	12147

Stop Event

1×	node limit

Counts

327 → 559

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(tan.f64 x)
	0.1b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational.json-1`
1370×	`rational.json-2`
1370×	`rational.json-4`
1370×	`rational.json-3`
1362×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	74	32
2	189	32
3	443	32
4	1464	32
5	4714	32

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational.json-simplify-35`
1336×	`rational.json-simplify-51`
860×	`rational.json-simplify-2`
856×	`rational.json-simplify-54`
766×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1048
1	202	1042
2	460	1042
3	1426	1030
4	3731	1030

Stop Event

1×	node limit

Counts

54 → 60

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 1 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) (/.f64 1 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 2 (/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(+.f64 (tan.f64 x) 0)
(+.f64 0 (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(-.f64 0 (tan.f64 (neg.f64 x)))
(*.f64 1 (tan.f64 x))
(*.f64 (tan.f64 x) 1)
(*.f64 2 (/.f64 (tan.f64 x) 2))
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(.f64 1/2 (.f64 (tan.f64 x) 2))
(*.f64 (/.f64 (tan.f64 x) 2) 2)
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (tan.f64 x) 1)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(/.f64 (tan.f64 (neg.f64 x)) -1)
(/.f64 (.f64 2 (.f64 (tan.f64 x) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (tan.f64 x) 4)) (.f64 2 (.f64 (tan.f64 x) 4))) 16)
(pow.f64 (tan.f64 x) 1)
(neg.f64 (tan.f64 (neg.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) 1))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))) (.f64 -2/45 (pow.f64 x 6))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6)))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6))))
(+.f64 (+.f64 (-.f64 1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))) (.f64 -2/45 (pow.f64 x 6)))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (.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 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 17/315 (pow.f64 x 7))) (*.f64 1/3 (pow.f64 x 3))))
(+.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 (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 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) (/.f64 1 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 2 (/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1/2 (.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 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 0 (tan.f64 (neg.f64 x)))
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 2 (/.f64 (tan.f64 x) 2))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(tan.f64 x)
(.f64 1/2 (.f64 (tan.f64 x) 2))
(tan.f64 x)
(*.f64 (/.f64 (tan.f64 x) 2) 2)
(tan.f64 x)
(/.f64 1 (/.f64 1 (tan.f64 x)))
(tan.f64 x)
(/.f64 (tan.f64 x) 1)
(tan.f64 x)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(tan.f64 x)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(tan.f64 x)
(/.f64 (tan.f64 (neg.f64 x)) -1)
(tan.f64 x)
(/.f64 (.f64 2 (.f64 (tan.f64 x) 4)) 8)
(tan.f64 x)
(/.f64 (+.f64 (.f64 2 (.f64 (tan.f64 x) 4)) (.f64 2 (.f64 (tan.f64 x) 4))) 16)
(tan.f64 x)
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(neg.f64 (tan.f64 (neg.f64 x)))
(tan.f64 x)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.2b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
	0.2b	(pow.f64 (sin.f64 x) 2)
	0.2b	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 49 to 30 computations (38.8% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2070×	`rational.json-1`
2070×	`rational.json-2`
2070×	`rational.json-4`
2070×	`rational.json-3`
688×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	101	39
2	249	39
3	582	39
4	1455	39
5	5553	39

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational.json-simplify-2`
1108×	`rational.json-simplify-47`
1066×	`rational.json-simplify-35`
1012×	`rational.json-simplify-44`
904×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	2316
1	197	2310
2	437	2310
3	1181	2298
4	4682	2298

Stop Event

1×	node limit

Counts

30 → 64

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	16.5b	(.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 71 to 25 computations (64.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational.json-simplify-35`
960×	`exponential.json-3`
960×	`rational.json-1`
960×	`rational.json-2`
960×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	87	47
2	235	47
3	609	21
4	2341	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1530×	`rational.json-simplify-51`
1374×	`rational.json-simplify-35`
1190×	`rational.json-simplify-49`
926×	`rational.json-simplify-46`
786×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1075
1	192	1075
2	465	1075
3	1466	1075
4	5585	1075

Stop Event

1×	node limit

Counts

33 → 36

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
(+.f64 0 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(/.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 2)
(/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(/.f64 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) (.f64 2 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(/.f64 (+.f64 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)

Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 1 (.f64 17/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 17/45 (pow.f64 x 6)) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
(+.f64 0 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) (.f64 2 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))
	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.2b	(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
✓	20.9b	(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 117 to 31 computations (73.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`exponential.json-3`
1136×	`rational.json-1`
1136×	`rational.json-2`
1136×	`rational.json-4`
1136×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	118
1	96	106
2	246	90
3	713	26
4	3499	26

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs

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

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

Outputs

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-2`
1326×	`rational.json-simplify-61`
1200×	`rational.json-simplify-35`
1132×	`rational.json-simplify-44`
1086×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	801
1	1197	801
2	6412	801

Stop Event

1×	node limit

Counts

163 → 154

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))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (tan.f64 x) 0)
(+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) 0)))
(+.f64 (tan.f64 x) (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (tan.f64 x) (+.f64 (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) 0)) (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) 0))))
(+.f64 (tan.f64 x) (+.f64 (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) 0))))
(+.f64 0 (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) 1/2) (.f64 (tan.f64 x) 1/2))
(+.f64 (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) 0)) (tan.f64 x))
(+.f64 (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(-.f64 0 (neg.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 1 (-.f64 0 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(/.f64 (tan.f64 x) 1)
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))
(/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 2 (/.f64 2 (tan.f64 x)))
(/.f64 2 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) 2))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (/.f64 (.f64 2 (.f64 (.f64 (tan.f64 x) (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) (.f64 (tan.f64 x) 2)) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (neg.f64 (/.f64 1 (*.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) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 4 (*.f64 2 (/.f64 2 (tan.f64 x))))
(/.f64 4 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (/.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (tan.f64 x))))
(/.f64 4 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 4 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) 4)))
(/.f64 4 (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 4) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4) (*.f64 (tan.f64 x) 4))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4) (/.f64 4 (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 2 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))))
(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(/.f64 -1 (/.f64 -1 (tan.f64 x)))
(/.f64 -1 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -1 (/.f64 1 (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 -1 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (tan.f64 x)) -1)
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))
(/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 4) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 4))
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(/.f64 (.f64 (tan.f64 x) 4) (/.f64 (.f64 2 (/.f64 2 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(/.f64 -2 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (neg.f64 (tan.f64 x)))))
(/.f64 -2 (neg.f64 (/.f64 2 (tan.f64 x))))
(/.f64 (*.f64 2 (neg.f64 (tan.f64 x))) -2)
(/.f64 (.f64 2 (neg.f64 (tan.f64 x))) (/.f64 (.f64 2 (/.f64 -1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(/.f64 (.f64 2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 4)) (/.f64 8 (/.f64 1 (tan.f64 x))))
(/.f64 (.f64 2 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 2 (/.f64 -1 (tan.f64 x))))
(/.f64 (.f64 2 (.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) 2)))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (neg.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (/.f64 2 (/.f64 -1 (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (tan.f64 x) 2)))
(/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 -4 (-.f64 0 (*.f64 2 (/.f64 2 (tan.f64 x)))))
(/.f64 (.f64 2 (.f64 (tan.f64 x) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 2 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (.f64 2 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (*.f64 2 (fabs.f64 (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 4 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (tan.f64 x)) (.f64 (tan.f64 x) 2))
(/.f64 (/.f64 -2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 2 (neg.f64 (tan.f64 x))))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 4) (.f64 (tan.f64 x) (tan.f64 x))) 4)
(/.f64 (/.f64 (.f64 (tan.f64 x) 4) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (fabs.f64 (tan.f64 x))) (.f64 2 (fabs.f64 (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 1/2)
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) 2)) (.f64 (tan.f64 x) 1/2))
(/.f64 (/.f64 (.f64 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4)) (-.f64 0 (*.f64 (tan.f64 x) 4)))
(/.f64 (neg.f64 (/.f64 2 (tan.f64 x))) (neg.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (neg.f64 (fabs.f64 (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (neg.f64 (neg.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4) (tan.f64 x)) 4)
(/.f64 (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(/.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)))
(/.f64 (+.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 1 (tan.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 4)) (neg.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)) (fabs.f64 (tan.f64 x)))) (-.f64 0 (.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)))) (-.f64 0 (neg.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(/.f64 (neg.f64 (.f64 2 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (-.f64 0 (*.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (.f64 2 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 0 (.f64 2 (neg.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 (.f64 (tan.f64 x) 4) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) 2))) (-.f64 0 (.f64 (tan.f64 x) 1/2)))
(/.f64 (neg.f64 (/.f64 (.f64 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(pow.f64 (tan.f64 x) 1)
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 (+.f64 x (*.f64 2 (PI.f64))))
(tan.f64 (+.f64 x (*.f64 3 (PI.f64))))
(tan.f64 (+.f64 x (*.f64 (PI.f64) 4)))
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)
(.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 2 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 1/2 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))

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

eval672.0ms (7.1%)

Compiler: Compiled 64296 to 27732 computations (56.9% saved)

prune754.0ms (7.9%)

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	2094	13	2107
Fresh	9	18	27
Picked	0	1	1
Done	4	5	9
Total	2107	37	2144

Error

0.1b

Counts

2144 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	1.0b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (/.f64 2 (tan.f64 x)) (/.f64 (/.f64 2 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 4 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
✓	17.1b	(/.f64 (-.f64 1 (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	28.9b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 (neg.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 (neg.f64 x))))) (.f64 (tan.f64 x) (tan.f64 x)))))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (/.f64 4 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 4)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (*.f64 (tan.f64 x) (tan.f64 x)))))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	17.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	17.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
✓	17.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	24.6b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
	0.4b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
▶	0.4b	(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
	29.4b	(/.f64 1 (+.f64 1 (pow.f64 x 2)))
	29.2b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
▶	30.0b	(-.f64 1 (pow.f64 x 2))
	30.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
	30.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 1 (.f64 (pow.f64 x 2) -2)))
✓	29.8b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.4b	(.f64 (/.f64 1 (-.f64 -1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
✓	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	27.3b	1

Compiler

Compiled 1460 to 949 computations (35% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 17 computations (72.6% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
1.0ms	x	@	inf	(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
1.0ms	x	@	-inf	(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
0.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2270×	`rational.json-1`
1426×	`rational.json-simplify-35`
972×	`exponential.json-3`
972×	`rational.json-2`
972×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	113
1	112	113
2	301	113
3	799	113
4	2640	113
5	7735	113

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))

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

Outputs

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

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

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-35`
982×	`rational.json-simplify-44`
978×	`rational.json-simplify-43`
906×	`rational.json-simplify-47`
742×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4718
1	603	4712
2	1702	4712
3	6040	4682

Stop Event

1×	node limit

Counts

126 → 137

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
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(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
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(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
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(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
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(.f64 1/2 (.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2))
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(.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2) 2)
(/.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 1)
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(/.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) -1) -1)
(/.f64 (.f64 (.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2) 4) 8)
(/.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) -2) -2)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2) 4)) 16)
(pow.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 1)
(neg.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) -1))
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(-.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) -1) -1)
(/.f64 1 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (tan.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 1 (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x)))
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(/.f64 (.f64 (sin.f64 x) 2) (/.f64 (.f64 (cos.f64 x) 2) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (/.f64 (cos.f64 x) (tan.f64 x))))
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(/.f64 2 (+.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (tan.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (tan.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 2 (tan.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (.f64 (sin.f64 x) 4) (+.f64 (/.f64 (.f64 (cos.f64 x) 2) (tan.f64 x)) (/.f64 (*.f64 (cos.f64 x) 2) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) 2) (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 4 (+.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (tan.f64 x)) (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (tan.f64 x) 2)) 2)
(/.f64 (sin.f64 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) 4) (.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 (tan.f64 x) 4) (.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (+.f64 (/.f64 2 (tan.f64 x)) (/.f64 2 (tan.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (tan.f64 x) 4)) 4)
(/.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (tan.f64 x) 4)) (+.f64 (.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 4 (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (tan.f64 x) 4))) 8)
(/.f64 (/.f64 (*.f64 (tan.f64 x) 4) (/.f64 (cos.f64 x) (sin.f64 x))) 4)
(/.f64 (/.f64 (tan.f64 x) 2) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 2))
(/.f64 (neg.f64 (.f64 (tan.f64 x) 2)) (-.f64 0 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 (tan.f64 x) (cos.f64 x))) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (tan.f64 x) 4))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (tan.f64 x) 4)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 (tan.f64 x) 4) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (.f64 (tan.f64 x) 4) (/.f64 (cos.f64 x) (sin.f64 x)))) 8)
(/.f64 (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) (-.f64 0 (/.f64 1 (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) 1)
(+.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
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(-.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(.f64 1 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 -1 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2) (/.f64 1/2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2) (.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))
(.f64 2 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (/.f64 2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) 1/2)
(.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 4) (/.f64 1 (.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))))
(.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 1/2 (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (/.f64 2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 1/2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 2))
(.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))) 2)
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) (.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) 4))
(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) -1))
(.f64 (+.f64 (/.f64 1/2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1/2 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))))
(pow.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(neg.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 x 2))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite230.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2242×	`rational.json-simplify-35`
1988×	`rational.json-simplify-2`
1092×	`exponential.json-3`
1092×	`rational.json-1`
1092×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	53	13
2	119	13
3	216	13
4	385	13
5	799	13
6	1962	13
7	3319	13
8	4155	13
9	5154	13
10	5826	13
11	5954	13
12	6092	13
13	6264	13
14	7416	13

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (pow.f64 x 2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (*.f64 (-.f64 1 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (pow.f64 x 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 1 (+.f64 (pow.f64 x 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (pow.f64 x 2) -3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (pow.f64 x 2) -3)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 1 (pow.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (pow.f64 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (pow.f64 x 2) -1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (pow.f64 x 2) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1))))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))))) (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (pow.f64 x 2) -1))))))

simplify192.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2324×	`rational.json-simplify-35`
1886×	`rational.json-simplify-2`
1030×	`rational.json-simplify-1`
730×	`rational.json-simplify-51`
720×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1148
1	249	1026
2	541	790
3	1533	790
4	3527	790
5	4697	790
6	5151	790
7	5391	790
8	5899	790
9	7030	790
10	7790	790

Stop Event

1×	node limit

Counts

62 → 56

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (-.f64 1 (pow.f64 x 2)) 0)
(+.f64 0 (-.f64 1 (pow.f64 x 2)))
(+.f64 -1 (neg.f64 (+.f64 (pow.f64 x 2) -2)))
(+.f64 (neg.f64 (+.f64 (pow.f64 x 2) -2)) -1)
(+.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (.f64 (-.f64 1 (pow.f64 x 2)) 1/2))
(+.f64 -2 (neg.f64 (+.f64 (pow.f64 x 2) -3)))
(+.f64 -3 (-.f64 1 (+.f64 (pow.f64 x 2) -3)))
(+.f64 (neg.f64 (+.f64 (pow.f64 x 2) -3)) -2)
(+.f64 (-.f64 1 (+.f64 (pow.f64 x 2) -3)) -3)
(*.f64 1 (-.f64 1 (pow.f64 x 2)))
(.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 1/2))
(*.f64 (-.f64 1 (pow.f64 x 2)) 1)
(.f64 4 (.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(.f64 (.f64 (+.f64 (pow.f64 x 2) -1) -2) 1/2)
(*.f64 (+.f64 (pow.f64 x 2) -1) -1)
(*.f64 -1 (+.f64 (pow.f64 x 2) -1))
(.f64 (.f64 (+.f64 (pow.f64 x 2) -1) -4) 1/4)
(.f64 1/2 (.f64 (+.f64 (pow.f64 x 2) -1) -2))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) -1)) -1/2)
(.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 8) 1/8)
(.f64 1/4 (.f64 (+.f64 (pow.f64 x 2) -1) -4))
(.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1/2) 2)
(.f64 -2 (.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(.f64 (.f64 (+.f64 (pow.f64 x 2) -1) 1/2) -2)
(.f64 1/8 (.f64 (-.f64 1 (pow.f64 x 2)) 8))
(.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 4)
(.f64 -1/2 (.f64 2 (+.f64 (pow.f64 x 2) -1)))
(/.f64 (-.f64 1 (pow.f64 x 2)) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -2) 2)
(/.f64 (+.f64 (pow.f64 x 2) -1) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -4) 4)
(/.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) -2)
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)) 16)
(/.f64 (*.f64 4 (+.f64 (pow.f64 x 2) -1)) -4)
(/.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1))) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)))) 64)
(/.f64 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1))))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))))) 128)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))))) -64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1)))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1)))))) (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1))))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8))))))) 512)
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1)
(neg.f64 (+.f64 (pow.f64 x 2) -1))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (-.f64 1 (pow.f64 x 2)) 0)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 0 (-.f64 1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 -1 (neg.f64 (+.f64 (pow.f64 x 2) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (neg.f64 (+.f64 (pow.f64 x 2) -2)) -1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (.f64 (-.f64 1 (pow.f64 x 2)) 1/2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 -2 (neg.f64 (+.f64 (pow.f64 x 2) -3)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 -3 (-.f64 1 (+.f64 (pow.f64 x 2) -3)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (neg.f64 (+.f64 (pow.f64 x 2) -3)) -2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 (pow.f64 x 2) -3)) -3)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(*.f64 1 (-.f64 1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 1/2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(*.f64 (-.f64 1 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 4 (.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 (+.f64 (pow.f64 x 2) -1) -2) 1/2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 x 2) -1) -1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(*.f64 -1 (+.f64 (pow.f64 x 2) -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 (+.f64 (pow.f64 x 2) -1) -4) 1/4)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 1/2 (.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) -1)) -1/2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 8) 1/8)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 1/4 (.f64 (+.f64 (pow.f64 x 2) -1) -4))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1/2) 2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 -2 (.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 (+.f64 (pow.f64 x 2) -1) 1/2) -2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 1/8 (.f64 (-.f64 1 (pow.f64 x 2)) 8))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 4)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(.f64 -1/2 (.f64 2 (+.f64 (pow.f64 x 2) -1)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (-.f64 1 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -2) 2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (+.f64 (pow.f64 x 2) -1) -1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -4) 4)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1)) -2)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 8) 8)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)) 16)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (*.f64 4 (+.f64 (pow.f64 x 2) -1)) -4)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1))) -8)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))) 32)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))) -16)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)))) 64)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1)))) 8)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1))))) -32)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (pow.f64 x 2)) 8))))) 128)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1))))) 16)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) -1)))))) -64)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)))))) 256)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1)))))) 32)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1)))))) (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (pow.f64 x 2) -1))))))) 64)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (pow.f64 x 2)) 8))))))) 512)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(neg.f64 (+.f64 (pow.f64 x 2) -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 21 computations (63.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`rational.json-1`
1938×	`rational.json-2`
1938×	`rational.json-3`
1238×	`rational.json-simplify-35`
844×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	96	94
2	243	94
3	637	94
4	2124	94
5	6570	94

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 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1/2) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 2 (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)))) 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simplify156.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational.json-simplify-35`
968×	`rational.json-simplify-43`
772×	`rational.json-simplify-1`
634×	`rational.json-simplify-53`
596×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	5308
1	336	5124
2	704	4668
3	1893	4668
4	4769	4668
5	7362	4668

Stop Event

1×	node limit

Counts

92 → 101

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 10/3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 244/45 (pow.f64 x 6)) (*.f64 10/3 (pow.f64 x 4)))))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(*.f64 -1 (/.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)) 1)))
(+.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(.f64 1 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 -1 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) -2) (/.f64 1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) -2) (.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))
(.f64 2 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))
(.f64 2 (/.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(.f64 2 (.f64 (/.f64 1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
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(pow.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
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(.f64 (.f64 2 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 1/2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
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(.f64 (/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
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(.f64 1/4 (.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4))
(.f64 (+.f64 (/.f64 1/2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1/2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
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(neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))

Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
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(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (+.f64 1 (.f64 -4/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4))))
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1
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(.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) 1/2)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4) 1/4)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) -1)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 2 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1/2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1/2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) -2)) 2)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 2 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1/4 (.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (+.f64 (/.f64 1/2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1/2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 22 computations (60.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`rational.json-simplify-35`
1090×	`exponential.json-3`
1090×	`rational.json-1`
1090×	`rational.json-2`
1090×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	88
1	96	88
2	256	88
3	741	88
4	2865	78

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

928×	`rational.json-simplify-2`
882×	`rational.json-simplify-1`
684×	`rational.json-simplify-19`
658×	`rational.json-simplify-50`
646×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	4468
1	361	4456
2	844	4420
3	2653	4420
4	4996	4420
5	6870	4420

Stop Event

1×	node limit

Counts

82 → 110

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(+.f64 0 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(-.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(-.f64 0 (neg.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(/.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1)
(/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)) 2)
(/.f64 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) 4)) 4)
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) -1)
(/.f64 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (.f64 2 (*.f64 (tan.f64 x) 4))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) 4)))) 16)
(pow.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1)
(neg.f64 (neg.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(+.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(-.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(*.f64 1 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1)
(.f64 2 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2))))
(*.f64 2 (/.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 2))
(.f64 2 (.f64 (/.f64 1/2 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 1/2 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1/2))
(*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (/.f64 2 (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) 1/2)
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) 4))))
(.f64 (.f64 2 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (/.f64 1 (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(.f64 -1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(*.f64 (neg.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (/.f64 -1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(.f64 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) (/.f64 1/2 (tan.f64 x)))
(.f64 (/.f64 1/2 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 1/2 (/.f64 2 (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(.f64 (/.f64 1/2 (tan.f64 x)) (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1/2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) -1)
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))) -1)
(*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) -1)
(.f64 (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)) (*.f64 2 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2))) 2)
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) 4))) (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(.f64 (/.f64 -1 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 (/.f64 -1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (neg.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) (/.f64 1/2 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1)
(neg.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(neg.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))

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

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (cos.f64 x) 2)
	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	16.5b	(.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))

Compiler

Compiled 101 to 47 computations (53.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`exponential.json-3`
1322×	`rational.json-1`
1322×	`rational.json-2`
1322×	`rational.json-4`
1322×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	127	59
2	322	59
3	842	59
4	3117	59

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-2`
1094×	`rational.json-simplify-1`
1020×	`rational.json-simplify-35`
900×	`rational.json-simplify-61`
760×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	3047
1	383	3047
2	1101	2467
3	4637	2211
4	7858	2211

Stop Event

1×	node limit

Counts

43 → 49

Calls

Call 1

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

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

eval373.0ms (3.9%)

Compiler: Compiled 34426 to 14807 computations (57% saved)

prune301.0ms (3.2%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1210	17	1227
Fresh	13	13	26
Picked	1	0	1
Done	3	7	10
Total	1227	37	1264

Error

0.1b

Counts

1264 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (tan.f64 x))
	0.5b	(/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
✓	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
	1.0b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.6b	(/.f64 (-.f64 1 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 4 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.5b	(/.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
	17.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)) (cos.f64 x)))
	28.9b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
	15.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 (neg.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 (neg.f64 x))))) (.f64 (tan.f64 x) (tan.f64 x)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	17.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	24.6b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
	0.4b	(/.f64 (-.f64 1 (.f64 (sin.f64 x) (/.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	28.9b	(/.f64 1 (/.f64 (-.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
✓	0.4b	(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
	29.4b	(/.f64 1 (+.f64 1 (pow.f64 x 2)))
	29.2b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
✓	30.0b	(-.f64 1 (pow.f64 x 2))
	30.0b	(+.f64 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)) (+.f64 1 (*.f64 (pow.f64 x 4) 2/3)))
	30.0b	(+.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 2/3 (pow.f64 x 4)))
✓	29.8b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.4b	(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
	0.5b	(*.f64 (/.f64 2 (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) 1/2)
	0.4b	(.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.5b	(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
	62.6b	(neg.f64 (pow.f64 x 2))
	27.3b	1

Compiler

Compiled 712 to 462 computations (35.1% saved)

regimes140.0ms (1.5%)

Counts

79 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Calls

4 calls:

31.0ms	(tan.f64 x)
31.0ms	x
26.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
22.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))`
0.3b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
0.3b	1	`(tan.f64 x)`

Compiler

Compiled 1817 to 813 computations (55.3% saved)

regimes30.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(tan.f64 x)
8.0ms	x
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
24.6b	1	`x`
24.6b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
24.6b	1	`(tan.f64 x)`

Compiler

Compiled 210 to 148 computations (29.5% saved)

regimes14.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(tan.f64 x)
4.0ms	x
3.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
27.1b	1	`x`
27.1b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
27.1b	1	`(tan.f64 x)`

Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -35.6b remaining (-130.4%)

Threshold costs -35.6b (-130.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
27.3b	1	`x`

Compiler

Compiled 35 to 28 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1

Compiler

Compiled 38 to 24 computations (36.8% saved)

soundness0.0ms (0%)

end24.0ms (0.3%)

Compiler: Compiled 35 to 17 computations (51.4% saved)