Details

analyze180.0ms (1.7%)

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 (13.1%)

Results

600.0ms	2049×	body	1024	valid
556.0ms	5235×	body	256	valid
192.0ms	967×	body	512	valid
3.0ms	5×	body	2048	valid

Bogosity

preprocess85.0ms (0.8%)

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)

simplify90.0ms (0.9%)

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
✓	0.0b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.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))

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 (tan.f64 x) (tan.f64 x))
1.0ms	x	@	inf	(*.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 (tan.f64 x) (tan.f64 x))

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational.json-simplify-35`
980×	`bool.json-1`
980×	`bool.json-2`
954×	`rational.json-1`
954×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	104
1	111	104
2	357	104
3	882	104
4	2651	104
5	7945	104

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

Inputs
(*.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)))
(+.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)) 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 (.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(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 0 (.f64 (tan.f64 x) (neg.f64 (tan.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 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-44`
1172×	`rational.json-simplify-47`
1092×	`rational.json-simplify-35`
792×	`rational.json-simplify-49`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	6129
1	1259	5967
2	6288	5915

Stop Event

1×	node limit

Counts

225 → 243

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))
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 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 (*.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)))
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 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 (*.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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.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 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 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) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))) 4))
(/.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) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (fabs.f64 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))))))
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(.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 (.f64 (tan.f64 x) (tan.f64 x)) 2))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 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))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) 1/2)
(.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 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 1/2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
(.f64 (/.f64 -1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.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 (.f64 (tan.f64 x) (tan.f64 x)) 2))) 2)
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 2) 2)
(.f64 (/.f64 1 (.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 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.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 (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 (-.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 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (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 (.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 (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) 8)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) -2) -2)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 4)) 16)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 0)
(-.f64 0 (-.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 1 (+.f64 (.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 (+.f64 2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)) 1/2)
(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 2))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4) 1/4)
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) -1)
(.f64 1/2 (+.f64 2 (.f64 (*.f64 (tan.f64 x) (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 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
(.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 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) 2)
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 4) 4)
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(/.f64 (.f64 (+.f64 2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)) 4) 8)
(/.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) 4)) 16)
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 17/45 (pow.f64 x 6)) (.f64 2/3 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 (.f64 62/315 (pow.f64 x 8)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(/.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)
(+.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 (.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 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (.f64 (pow.f64 x 6) -4/45)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (.f64 (pow.f64 x 4) -2/3)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 4) -2/3) 1))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (*.f64 (pow.f64 x 4) -2/3)))
(+.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 (pow.f64 x 2) -1) (.f64 (pow.f64 x 6) -17/45)) (*.f64 (pow.f64 x 4) -2/3)))
(+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (.f64 (pow.f64 x 6) -17/45))))
(-.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)))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 0 (*.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))
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (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 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 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) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))) 4))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 2 (.f64 2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 2 (/.f64 (.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 (tan.f64 x) (tan.f64 x))
(/.f64 2 (fabs.f64 (/.f64 (.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 (tan.f64 x) (tan.f64 x))
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(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 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 (+.f64 2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)) 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 (+.f64 2 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) 4)) 16)
(+.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)))

eval98.0ms (0.9%)

Compiler: Compiled 10520 to 4031 computations (61.7% saved)

prune80.0ms (0.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	351	25	376
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	351	26	377

Error

0.1b

Counts

377 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	28.0b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.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))
	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))))
	18.9b	(/.f64 (-.f64 1 (/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.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))))
	18.9b	(/.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (.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))))
	24.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 4 (fabs.f64 (/.f64 (.f64 4 (tan.f64 x)) (.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 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	27.4b	(/.f64 (-.f64 1 (.f64 (.f64 4 (tan.f64 x)) (/.f64 (tan.f64 x) (+.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 2 (.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)) (.f64 2 (.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))))
	27.2b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (tan.f64 x)) (.f64 (tan.f64 x) 2))))
▶	19.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (.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 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))))
▶	0.3b	(/.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))))
▶	19.9b	(/.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))))
	28.2b	(+.f64 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
	28.1b	(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (.f64 2/3 (pow.f64 x 4))))
▶	28.0b	(+.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))
	25.3b	1

Compiler

Compiled 1244 to 646 computations (48.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 27 computations (57.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 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 (tan.f64 x) (tan.f64 x)))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.0ms	x	@	0	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

rewrite115.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational.json-simplify-2`
1142×	`rational.json-simplify-61`
924×	`rational.json-simplify-51`
610×	`rational.json-simplify-49`
600×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	83
1	142	83
2	466	83
3	1355	83
4	5612	83

Stop Event

1×	node limit

Counts

3 → 262

Calls

Call 1

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

Inputs

(/.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))) (+.f64 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)) 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) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.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 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) (neg.f64 (tan.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 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 x) (/.f64 2 (/.f64 2 (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 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 1 (/.f64 -1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (tan.f64 x) (.f64 2 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (fabs.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (fabs.f64 (/.f64 (tan.f64 x) (.f64 2 (/.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (fabs.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (/.f64 1 (.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 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (/.f64 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 2 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 1 (.f64 (/.f64 1 (.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 2 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 1 (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 2 (/.f64 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) (.f64 (tan.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (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 1 (.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) (.f64 (tan.f64 x) (.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) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (/.f64 2 (.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 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.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 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.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 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (/.f64 2 (.f64 (tan.f64 x) 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simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

922×	`rational.json-simplify-35`
862×	`rational.json-simplify-61`
604×	`rational.json-simplify-39`
584×	`rational.json-simplify-44`
572×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	13772
1	1378	13386
2	6280	12678

Stop Event

1×	node limit

Counts

298 → 393

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))
(/.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))
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)))))
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(.f64 (/.f64 (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)))))) (tan.f64 x))
(.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (.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)))))) 1/2)
(.f64 (/.f64 (.f64 (tan.f64 x) 2) (.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) 1/2))
(.f64 (/.f64 (fabs.f64 (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 (tan.f64 x)))
(.f64 (/.f64 (/.f64 2 (.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))))) 1/2)
(.f64 (/.f64 (/.f64 1 (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 (tan.f64 x)))
(.f64 (/.f64 1 (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) 2)
(.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.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 (.f64 (tan.f64 x) 2) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.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 (/.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 (/.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1/4)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(.f64 (/.f64 2 (/.f64 (/.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1/4)) (/.f64 2 (.f64 (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 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(.f64 (/.f64 1 (/.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (neg.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))

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

localize8.0ms (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))

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`bool.json-1`
1588×	`bool.json-2`
1530×	`rational.json-1`
1530×	`rational.json-2`
1530×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	187	13
3	372	13
4	743	13
5	1572	13
6	3662	13
7	6361	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

((#(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 (-.f64 1 (*.f64 2 (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 (*.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 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 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 2)))))))

simplify1.1s (10.9%)

Algorithm

1×	egg-herbie

Rules

3670×	`rational.json-simplify-35`
3588×	`rational.json-simplify-48`
1968×	`rational.json-simplify-1`
1062×	`rational.json-simplify-2`
700×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	221
1	104	221
2	188	221
3	406	221
4	951	221
5	2622	221
6	3476	221
7	3668	221
8	3882	221
9	4151	221
10	4384	221
11	4502	221
12	4597	221
13	4838	221
14	4998	221
15	5360	221
16	5438	221
17	5508	221
18	5578	221
19	5648	221
20	5648	221
21	5786	221
22	6035	221
23	6082	221
24	6185	221
25	6377	221
26	6531	221
27	6911	221
28	7097	221
29	7235	221
30	7314	221
31	7384	221
32	7454	221
33	7524	221
34	7594	221
35	7664	221
36	7734	221
37	7804	221
38	7874	221

Stop Event

1×	node limit

Counts

17 → 18

Calls

Call 1

Inputs
(+.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 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(/.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 2 (.f64 (pow.f64 x 2) -16)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -16)))) 64)
(neg.f64 (*.f64 2 (pow.f64 x 2)))

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 28 computations (56.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational.json-simplify-35`
1090×	`bool.json-1`
1090×	`bool.json-2`
1064×	`rational.json-1`
1064×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	113
1	142	101
2	412	89
3	1011	89
4	2996	89

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs

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

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 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)) 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 0 (+.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 -1 (+.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) -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) 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 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 (*.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 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4)) 16)))) (#(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 not (not (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.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 or (-.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 (*.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 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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 (*.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 (tan.f64 x) (tan.f64 x)) -1) (/.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))) (/.f64 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 -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) (/.f64 1/2 (+.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))) 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 (tan.f64 x) (tan.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 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.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 (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 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.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 (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)))) 1/2) (*.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)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.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 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.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 (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 (*.f64 (tan.f64 x) (tan.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 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 not (not (/.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 and (/.f64 (+.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) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.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) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)))))) (#(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 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2) -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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(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 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 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 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 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 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) -8)))) (#(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 (neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 4)))) (#(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 /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational.json-simplify-35`
1342×	`rational.json-simplify-2`
1064×	`rational.json-simplify-53`
782×	`rational.json-simplify-41`
694×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	3918
1	358	3662
2	1002	3662
3	2635	3458
4	5859	3458

Stop Event

1×	node limit

Counts

110 → 122

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))))
	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	19.1b	(.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)

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational.json-simplify-51`
866×	`rational.json-simplify-49`
798×	`rational.json-simplify-35`
632×	`rational.json-simplify-46`
626×	`bool.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	120
1	141	120
2	492	106
3	1574	68
4	5947	68

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs

(*.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 (+.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 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 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 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)))) (#(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 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (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 neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.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 or (+.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 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 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(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 (/.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 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 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 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (/.f64 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.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 -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 (/.f64 (-.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1/2 (+.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) (*.f64 1/2 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.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))) (+.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 (tan.f64 x)) (/.f64 (-.f64 1 (*.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 (-.f64 1 (*.f64 (tan.f64 x) (tan.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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (/.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))) -1) (/.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 (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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.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 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 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (*.f64 (*.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 (neg.f64 (/.f64 (-.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) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 1/2) (/.f64 (*.f64 (tan.f64 x) 2) (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (tan.f64 x))) (/.f64 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 neg.f64 (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 not (not (/.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 and (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.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)))))))))

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational.json-simplify-61`
1184×	`rational.json-simplify-44`
1110×	`rational.json-simplify-35`
1004×	`rational.json-simplify-47`
896×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	4922
1	448	4902
2	1304	4662
3	6765	4594

Stop Event

1×	node limit

Counts

88 → 127

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	26.4b	(/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))

Compiler

Compiled 123 to 33 computations (73.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`rational.json-simplify-35`
870×	`bool.json-1`
870×	`bool.json-2`
852×	`rational.json-1`
852×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	102
1	134	50
2	522	50
3	2354	50

Stop Event

1×	node limit

Counts

2 → 259

Calls

Call 1

Inputs

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

Outputs

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(tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))))

simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1710×	`rational.json-simplify-35`
1346×	`rational.json-simplify-49`
1088×	`rational.json-simplify-46`
640×	`rational.json-simplify-43`
598×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	10823
1	1901	10237
2	7276	9963

Stop Event

1×	node limit

Counts

283 → 332

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 4)
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (.f64 4/3 (pow.f64 x 6)) (+.f64 (.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))
(+.f64 (.f64 848/945 (pow.f64 x 10)) (+.f64 (.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(+.f64 (*.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 1 (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (tan.f64 x) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (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)) (fabs.f64 (/.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 (tan.f64 x) (tan.f64 x))))
(.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 (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 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (/.f64 1 (.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))) (fabs.f64 (/.f64 1 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(*.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 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (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 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(.f64 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
(.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 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))
(.f64 1/2 (.f64 (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) (tan.f64 x))) (tan.f64 x))
(.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 1 (/.f64 1 (tan.f64 x))) (tan.f64 x))
(*.f64 (/.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (tan.f64 x) 2) (.f64 (tan.f64 x) 2))
(.f64 (fabs.f64 (.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (tan.f64 x) 2)))
(.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(fabs.f64 (.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (tan.f64 x))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.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))))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 2)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(fabs.f64 (/.f64 (/.f64 (neg.f64 (.f64 (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 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x))))
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(fabs.f64 (.f64 (neg.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (tan.f64 x))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
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Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
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(+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.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))
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(pow.f64 x 4)
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(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
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(*.f64 (tan.f64 x) (tan.f64 x))
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(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.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 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
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(/.f64 (/.f64 2 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
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(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))))
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(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 1 (/.f64 1 (tan.f64 x)))))
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(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.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 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 1/2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(.f64 (tan.f64 x) (.f64 (*.f64 2 (tan.f64 x)) 1/2))
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(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
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eval911.0ms (8.7%)

Compiler: Compiled 97677 to 37198 computations (61.9% saved)

prune1.1s (10.5%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	2626	21	2647
Fresh	14	6	20
Picked	1	0	1
Done	1	4	5
Total	2642	31	2673

Error

0.1b

Counts

2673 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	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))))
	20.0b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x))))
	18.9b	(/.f64 (-.f64 1 (/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.3b	(/.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))))
	24.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	19.9b	(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (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 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 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))) 2)))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	27.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 (-.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 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 1/2)) (.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)))))
▶	23.0b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
✓	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))))
	0.5b	(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
✓	28.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	19.4b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	27.5b	(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
▶	19.9b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	20.0b	(*.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2))
	19.4b	(.f64 (/.f64 1 (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)))) (tan.f64 x))))
	20.0b	(.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
	0.5b	(.f64 (tan.f64 x) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))))
	20.0b	(.f64 2 (/.f64 (+.f64 -1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
	0.4b	(.f64 2 (+.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1/2))
	0.3b	(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	25.3b	1

Compiler

Compiled 1362 to 769 computations (43.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.2b	(/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	5.5b	(/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 99 to 37 computations (62.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational.json-simplify-35`
1222×	`bool.json-1`
1222×	`bool.json-2`
1204×	`rational.json-1`
1204×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	177
1	169	97
2	680	97
3	3439	97

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

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

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

Outputs

((#(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 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (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 2 (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (/.f64 2 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (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 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (neg.f64 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (*.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 (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) (fabs.f64 (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 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (/.f64 2 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.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 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 (-.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 (-.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)))) (-.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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.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 and (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.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)))))))))

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1824×	`rational.json-simplify-35`
1344×	`rational.json-simplify-54`
1150×	`rational.json-simplify-2`
844×	`rational.json-simplify-43`
760×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	3594
1	409	3566
2	1239	3518
3	4621	3518

Stop Event

1×	node limit

Counts

100 → 134

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))
(/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2)))
(-.f64 (/.f64 1 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))) (.f64 2/3 (/.f64 1 (fabs.f64 (tan.f64 x)))))
(-.f64 (+.f64 (.f64 1/15 (/.f64 (pow.f64 x 2) (fabs.f64 (tan.f64 x)))) (/.f64 1 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2)))) (*.f64 2/3 (/.f64 1 (fabs.f64 (tan.f64 x)))))
(-.f64 (+.f64 (.f64 1/15 (/.f64 (pow.f64 x 2) (fabs.f64 (tan.f64 x)))) (+.f64 (.f64 2/189 (/.f64 (pow.f64 x 4) (fabs.f64 (tan.f64 x)))) (/.f64 1 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))))) (.f64 2/3 (/.f64 1 (fabs.f64 (tan.f64 x)))))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))))
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.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 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))))
(+.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 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (tan.f64 x) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (fabs.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) (tan.f64 x)) 1)
(.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(.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 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (tan.f64 x))
(.f64 1/2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (/.f64 2 (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 (tan.f64 x) 2) (.f64 (tan.f64 x) 2))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (tan.f64 x)))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x))))
(fabs.f64 (/.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))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))) 1/2)
(.f64 (/.f64 1 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (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) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (tan.f64 x)))
(.f64 1/2 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (/.f64 2 (fabs.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 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(neg.f64 (neg.f64 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.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 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 (-.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 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)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))

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

localize8.0ms (0.1%)

Local error

Found 3 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 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(tan.f64 x)
0.0ms	x	@	inf	(tan.f64 x)
0.0ms	x	@	-inf	(tan.f64 x)

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`bool.json-1`
1698×	`bool.json-2`
1660×	`rational.json-1`
1088×	`rational.json-simplify-2`
1044×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	46	5
2	176	5
3	377	5
4	738	5
5	1552	5
6	3639	5
7	6980	5

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(tan.f64 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (tan.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (tan.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 4) 1/4)))) (#(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) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (tan.f64 x) 8))))) (#(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 (*.f64 (tan.f64 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (tan.f64 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8))) (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x or (tan.f64 x) (tan.f64 x))))))

simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational.json-simplify-35`
972×	`rational.json-simplify-1`
890×	`rational.json-simplify-2`
826×	`rational.json-simplify-52`
744×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	347
1	131	347
2	413	347
3	883	347
4	1396	347
5	2088	347
6	2519	347
7	2802	347
8	3516	347
9	4008	347
10	4752	347
11	5841	347
12	7005	347

Stop Event

1×	node limit

Counts

35 → 37

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (tan.f64 x) 0)
(+.f64 0 (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) 1/2) (.f64 (tan.f64 x) 1/2))
(-.f64 (tan.f64 x) 0)
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(.f64 2 (.f64 (tan.f64 x) 1/2))
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(.f64 4 (.f64 (tan.f64 x) 1/4))
(.f64 (.f64 (tan.f64 x) 4) 1/4)
(.f64 1/2 (.f64 (tan.f64 x) 2))
(.f64 (.f64 (tan.f64 x) 8) 1/8)
(.f64 (.f64 (tan.f64 x) 1/2) 2)
(.f64 1/4 (.f64 (tan.f64 x) 4))
(.f64 (.f64 (tan.f64 x) 1/4) 4)
(.f64 1/8 (.f64 (tan.f64 x) 8))
(/.f64 (tan.f64 x) 1)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(/.f64 (*.f64 (tan.f64 x) 8) 8)
(/.f64 (.f64 2 (.f64 (tan.f64 x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (tan.f64 x) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (tan.f64 x) 8))) (.f64 2 (.f64 2 (.f64 (tan.f64 x) 8)))) 64)

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 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 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.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 (tan.f64 x) 0)
(tan.f64 x)
(+.f64 0 (tan.f64 x))
(tan.f64 x)
(+.f64 (.f64 (tan.f64 x) 1/2) (.f64 (tan.f64 x) 1/2))
(tan.f64 x)
(-.f64 (tan.f64 x) 0)
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(.f64 2 (.f64 (tan.f64 x) 1/2))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(tan.f64 x)
(.f64 4 (.f64 (tan.f64 x) 1/4))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 4) 1/4)
(tan.f64 x)
(.f64 1/2 (.f64 (tan.f64 x) 2))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 8) 1/8)
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 1/2) 2)
(tan.f64 x)
(.f64 1/4 (.f64 (tan.f64 x) 4))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 1/4) 4)
(tan.f64 x)
(.f64 1/8 (.f64 (tan.f64 x) 8))
(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 (*.f64 (tan.f64 x) 8) 8)
(tan.f64 x)
(/.f64 (.f64 2 (.f64 (tan.f64 x) 8)) 16)
(tan.f64 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 (tan.f64 x) 8))) 32)
(tan.f64 x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (tan.f64 x) 8))) (.f64 2 (.f64 2 (.f64 (tan.f64 x) 8)))) 64)
(tan.f64 x)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2)
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.7b	(/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
✓	19.1b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))

Compiler

Compiled 76 to 35 computations (53.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
1.0ms	x	@	-inf	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
1.0ms	x	@	inf	(/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
1.0ms	x	@	-inf	(/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
0.0ms	x	@	0	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2114×	`bool.json-1`
2114×	`bool.json-2`
1820×	`bool.json-3`
634×	`rational.json-simplify-35`
628×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	125
1	162	125
2	496	125
3	1423	125
4	5738	125

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

(*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))

(/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))

(-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 2 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (*.f64 4 (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 4) (*.f64 (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (-.f64 0 (*.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))))))

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1480×	`rational.json-simplify-40`
1220×	`rational.json-simplify-35`
1180×	`rational.json-simplify-38`
1080×	`rational.json-simplify-51`
1016×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	4923
1	546	4843
2	1572	4843
3	4297	4745

Stop Event

1×	node limit

Counts

99 → 122

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 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 4 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 4/45 (pow.f64 x 6))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/315 (pow.f64 x 8)) (.f64 4/45 (pow.f64 x 6)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 4 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1/2 (pow.f64 x 2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 5/6)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/30 (pow.f64 x 2))) 5/6)
(-.f64 (+.f64 (.f64 1/189 (pow.f64 x 4)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/30 (pow.f64 x 2)))) 5/6)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/2)
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(/.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (.f64 4 (.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4)))
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(/.f64 (+.f64 (.f64 (.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 4) (.f64 (.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 4)) 8)
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(.f64 (tan.f64 x) (/.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 2 (tan.f64 x)))))
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(/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 1)
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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 1 (.f64 -4/45 (pow.f64 x 6))) (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 4))))
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(.f64 2 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 4 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2))
(.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 1/2 (tan.f64 x)) (/.f64 (.f64 4 (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (tan.f64 x))))
(.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 4 (/.f64 -2 (tan.f64 x))))))
(.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) -1/2))))
(.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) -2)))
(.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)))
(.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) -2))
(.f64 (.f64 (tan.f64 x) 1/2) (/.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 1/4)))
(.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 1/2 (tan.f64 x)) (/.f64 (.f64 4 (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (tan.f64 x))))
(.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) 1/2) (/.f64 (.f64 2 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 2)))
(.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 1/2 (tan.f64 x)) (/.f64 (.f64 4 (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (tan.f64 x))))
(.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2) (/.f64 4 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))
(.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 1/2 (tan.f64 x)) (/.f64 (.f64 4 (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (tan.f64 x))))
(.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 1/2) (/.f64 (fabs.f64 (tan.f64 x)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 1/4)))
(.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 1/2 (tan.f64 x)) (/.f64 (.f64 4 (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (tan.f64 x))))
(.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (fabs.f64 (tan.f64 x)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(.f64 2 (.f64 (tan.f64 x) (/.f64 (tan.f64 x) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 2 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 (/.f64 4 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 0 (fabs.f64 (tan.f64 x))))
(+.f64 (/.f64 4 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (/.f64 0 (fabs.f64 (tan.f64 x))))
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(+.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 0)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(+.f64 0 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(+.f64 -1/2 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(.f64 2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) 2))
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) 1)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(.f64 1 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2))
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(.f64 (.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 1/2)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 1)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(/.f64 (.f64 2 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 2)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(/.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) 4)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4)) 8)
(+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 35 computations (49.3% saved)

series6.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (sin.f64 x) 2)
1.0ms	x	@	inf	(/.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))))
1.0ms	x	@	-inf	(/.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))))
0.0ms	x	@	inf	(pow.f64 (sin.f64 x) 2)
0.0ms	x	@	-inf	(pow.f64 (cos.f64 x) 2)

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`bool.json-1`
1386×	`bool.json-2`
1358×	`rational.json-1`
1358×	`rational.json-2`
1358×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	171	81
2	518	81
3	1301	81
4	3854	81

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 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))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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)))))))) (#(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 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.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)))))))) (#(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)))) (/.f64 1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(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)))) (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))))) (#(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 (tan.f64 x) (tan.f64 x))))) 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))) 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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.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 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 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 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-35`
952×	`rational.json-simplify-2`
946×	`rational.json-simplify-53`
884×	`rational.json-simplify-39`
736×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	2734
1	290	2716
2	694	2716
3	1914	2704
4	3364	2704
5	4725	2704
6	6605	2704

Stop Event

1×	node limit

Counts

74 → 102

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
	19.1b	(.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 96 to 37 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2098×	`bool.json-1`
2098×	`bool.json-2`
844×	`rational.json-simplify-49`
796×	`rational.json-simplify-40`
720×	`rational.json-simplify-38`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	103	23
2	354	15
3	1157	15
4	6711	15

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

((#(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 (*.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 (tan.f64 x) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 x) (neg.f64 (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 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))) (#(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 1 (fabs.f64 (tan.f64 x))) (*.f64 (fabs.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 (fabs.f64 (tan.f64 x)) 2) (*.f64 (fabs.f64 (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 2 (/.f64 4 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (/.f64 4 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (/.f64 1 (fabs.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (neg.f64 (/.f64 1 (fabs.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (/.f64 -1 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (/.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 (tan.f64 x) (/.f64 2 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (tan.f64 x)) 1/2) (*.f64 (fabs.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (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 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 -1 (tan.f64 x)) (*.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (tan.f64 x) (*.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 -1 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 -1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 -1 (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 -1 (tan.f64 x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (tan.f64 x) (/.f64 -1 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (tan.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 -1 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1896×	`rational.json-simplify-19`
1290×	`rational.json-simplify-35`
942×	`rational.json-simplify-40`
770×	`rational.json-simplify-38`
582×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1427
1	423	1357
2	1800	1307
3	5776	1307

Stop Event

1×	node limit

Counts

75 → 73

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 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.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 (tan.f64 x) (tan.f64 x)) 2)))
(+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (fabs.f64 (tan.f64 x)) 1/2))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 2 (/.f64 4 (fabs.f64 (tan.f64 x)))))
(.f64 2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2))
(*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 4)))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (/.f64 4 (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) 1/2)
(.f64 (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (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 -1 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 -1 (/.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (neg.f64 (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.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 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (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 1 (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (/.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 (tan.f64 x) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(.f64 1/2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(.f64 1/2 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 1/2) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (*.f64 -1 (tan.f64 x))))
(fabs.f64 (.f64 (tan.f64 x) (.f64 -1 (tan.f64 x))))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (.f64 -1 (tan.f64 x))))
(fabs.f64 (.f64 (neg.f64 (tan.f64 x)) (.f64 -1 (tan.f64 x))))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (tan.f64 x)))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 -1 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))

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 0 (*.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))
(+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (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))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (fabs.f64 (tan.f64 x)) 1/2))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 2 (/.f64 4 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 4)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 4 (/.f64 (fabs.f64 (tan.f64 x)) 4)))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (/.f64 4 (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 4)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 4 (/.f64 (fabs.f64 (tan.f64 x)) 4)))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(.f64 (tan.f64 x) (.f64 2 (/.f64 (tan.f64 x) 2)))
(.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) 1/2)
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 -1 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 -1 (/.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (neg.f64 (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.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 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (/.f64 1 (.f64 (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 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (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 2 (fabs.f64 (tan.f64 x)))) (/.f64 (tan.f64 x) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(.f64 1/2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 1/2 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(.f64 1/2 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(.f64 1/2 (/.f64 (/.f64 (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (fabs.f64 (tan.f64 x))))
(.f64 1/2 (/.f64 2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 1/2) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (*.f64 (tan.f64 x) (neg.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 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (*.f64 -1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (tan.f64 x) (.f64 -1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (.f64 -1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (neg.f64 (tan.f64 x)) (.f64 -1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (.f64 (.f64 -1 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (*.f64 -1 (tan.f64 x)) (/.f64 -1 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (/.f64 (.f64 -1 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))

eval617.0ms (5.9%)

Compiler: Compiled 58642 to 25852 computations (55.9% saved)

prune567.0ms (5.4%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1722	11	1733
Fresh	3	19	22
Picked	1	0	1
Done	2	6	8
Total	1728	36	1764

Error

0.0b

Counts

1764 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	19.9b	(/.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	28.1b	(/.f64 (-.f64 1 (pow.f64 x 2)) 1)
✓	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))))
	20.0b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x))))
	24.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.3b	(/.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 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))) 2)))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	27.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 (-.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 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 1/2)) (.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)))))
✓	23.0b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
	27.6b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) x)) 1)
	19.9b	(/.f64 (-.f64 1 (fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x))))
	19.8b	(/.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.5b	(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
✓	28.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	27.5b	(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
▶	20.0b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	25.3b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) 1/2))
✓	19.9b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
▶	20.0b	(*.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2))
	19.4b	(.f64 (/.f64 1 (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)))) (tan.f64 x))))
	20.0b	(.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
	20.1b	(.f64 (.f64 (tan.f64 x) (/.f64 2 (.f64 (/.f64 2 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 2)))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	20.0b	(.f64 (.f64 (tan.f64 x) (.f64 (/.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (tan.f64 x)))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	0.5b	(.f64 (tan.f64 x) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))))
	20.0b	(.f64 4 (/.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
	0.4b	(.f64 2 (+.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1/2))
▶	0.3b	(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	25.3b	1

Compiler

Compiled 1544 to 897 computations (41.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 30 computations (60.5% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`bool.json-1`
1726×	`bool.json-2`
1700×	`rational.json-1`
1700×	`rational.json-2`
1442×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	148	88
2	479	88
3	1361	88
4	4713	88

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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(tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (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))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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) 2) (/.f64 1/2 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (*.f64 (/.f64 1/2 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (*.f64 1/2 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 x)) 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) 4) (/.f64 1 (*.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (tan.f64 x)) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))))))

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-35`
928×	`rational.json-simplify-2`
846×	`rational.json-simplify-61`
796×	`rational.json-simplify-49`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	4743
1	422	4737
2	923	4721
3	2217	4721
4	5413	4721

Stop Event

1×	node limit

Counts

89 → 114

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2/3 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))) 1)
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(/.f64 -1 x)
(-.f64 (*.f64 4/3 x) (/.f64 1 x))
(-.f64 (+.f64 (.f64 16/45 (pow.f64 x 3)) (.f64 4/3 x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 16/45 (pow.f64 x 3)) (+.f64 (.f64 4/3 x) (*.f64 128/945 (pow.f64 x 5)))) (/.f64 1 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(.f64 -1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -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) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(.f64 -1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (neg.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(.f64 -1 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 -1 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (neg.f64 (tan.f64 x))))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 1 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1)
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (/.f64 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 1/2 (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 1/2 (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) (.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) (.f64 1/2 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2))))
(.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 2))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) 2) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) 4))))
(.f64 (.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) 1/2)
(.f64 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 4) (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 4)))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)) (/.f64 1/2 (tan.f64 x)))
(.f64 (/.f64 (/.f64 1 (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) (/.f64 1 (tan.f64 x)))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (neg.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (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)))) (/.f64 1 (neg.f64 (tan.f64 x))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) 2)))
(.f64 (/.f64 1/2 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 0)
(+.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 0)
(-.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 1)
(.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(.f64 (/.f64 1 (tan.f64 x)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (/.f64 1/2 (tan.f64 x)))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 1/2 (tan.f64 x)) 1))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 1/2 (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) 1/2)
(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) 2)))
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 2))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) 2) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (/.f64 1 (.f64 (tan.f64 x) 4)))
(.f64 (.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 4) 1/4)
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) -1)
(.f64 1/2 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))))
(.f64 (/.f64 1/2 (tan.f64 x)) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))

Outputs
-1
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) -1)
(+.f64 -1 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2/3 (pow.f64 x 4))) 1)
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 2 (pow.f64 x 2)) -1))
(+.f64 -1 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2/3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 -1 (.f64 -2/3 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))) 1)
(+.f64 (+.f64 (.f64 -2/3 (pow.f64 x 4)) (.f64 4/45 (pow.f64 x 6))) (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(+.f64 -1 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))))
(+.f64 (+.f64 -1 (.f64 2 (pow.f64 x 2))) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 -1 (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.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 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 -1 x)
(-.f64 (*.f64 4/3 x) (/.f64 1 x))
(-.f64 (*.f64 x 4/3) (/.f64 1 x))
(-.f64 (+.f64 (.f64 16/45 (pow.f64 x 3)) (.f64 4/3 x)) (/.f64 1 x))
(+.f64 (.f64 x 4/3) (-.f64 (.f64 16/45 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 16/45 (pow.f64 x 3)) (+.f64 (.f64 4/3 x) (*.f64 128/945 (pow.f64 x 5)))) (/.f64 1 x))
(+.f64 (+.f64 (.f64 x 4/3) (.f64 128/945 (pow.f64 x 5))) (-.f64 (*.f64 16/45 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 16/45 (pow.f64 x 3)) (-.f64 (+.f64 (.f64 x 4/3) (*.f64 128/945 (pow.f64 x 5))) (/.f64 1 x)))
(+.f64 (.f64 x 4/3) (+.f64 (.f64 128/945 (pow.f64 x 5)) (-.f64 (*.f64 16/45 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (.f64 x 4/3) (-.f64 (+.f64 (.f64 16/45 (pow.f64 x 3)) (*.f64 128/945 (pow.f64 x 5))) (/.f64 1 x)))
(+.f64 (.f64 x 4/3) (+.f64 (.f64 16/45 (pow.f64 x 3)) (-.f64 (*.f64 128/945 (pow.f64 x 5)) (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (cos.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 0 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (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)))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 0)
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 -1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (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 -1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) (neg.f64 (+.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)))))
(.f64 -1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (neg.f64 (*.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)))))
(.f64 -1 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (neg.f64 (+.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)))))
(.f64 -1 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (neg.f64 (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 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 1 (+.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)))))
(.f64 1 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (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)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.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)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1)
(/.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 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (/.f64 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x))))
(.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 1/2 (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 1/2 (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.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 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 2 (tan.f64 x))))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) (.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 1))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 2 (tan.f64 x))))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) (.f64 1/2 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 2 (tan.f64 x))))
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2))))
(/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) 2))
(/.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (tan.f64 x) (/.f64 1 (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)))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) 2) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(/.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (/.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))) (/.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 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))) 1/2)
(/.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 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 4) (/.f64 1 (.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 4)))
(/.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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)) (/.f64 1/2 (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 (/.f64 1 (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 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -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)))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(.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 1 (*.f64 (tan.f64 x) (neg.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(.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 1 (neg.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(.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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (neg.f64 (+.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)))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (neg.f64 (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 1/2 (.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 2 (+.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)))))
(.f64 (/.f64 2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) 2)))
(/.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 1/2 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 2)))
(/.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 (/.f64 1/2 (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(.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 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1/2 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 2 (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 0)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(+.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 0)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(-.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (tan.f64 x)))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (/.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 (tan.f64 x)))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (/.f64 1/2 (tan.f64 x)))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 1/2 (tan.f64 x))))
(.f64 2 (.f64 (/.f64 1/2 (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 1/2 (tan.f64 x))))
(.f64 (+.f64 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) -2) (/.f64 1/2 (tan.f64 x)))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 (/.f64 1/2 (tan.f64 x)) 1))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 1/2 (tan.f64 x))))
(.f64 2 (.f64 (/.f64 1/2 (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 1/2 (tan.f64 x))))
(.f64 (+.f64 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) -2) (/.f64 1/2 (tan.f64 x)))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (.f64 1/2 (/.f64 1 (tan.f64 x))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))) 1/2)
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) 1/2))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 1/2 (/.f64 2 (tan.f64 x))))
(.f64 2 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) 2)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) 2) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (/.f64 1 (.f64 (tan.f64 x) 4)))
(.f64 (.f64 4 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 4 (tan.f64 x))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 4 (/.f64 1/4 (tan.f64 x))))
(.f64 (.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) 4) 1/4)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (tan.f64 x)))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) -1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 1/2 (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (tan.f64 x))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) 1/2))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 1/2 (/.f64 2 (tan.f64 x))))
(.f64 (/.f64 1/2 (tan.f64 x)) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 1/2 (tan.f64 x))))
(.f64 2 (.f64 (/.f64 1/2 (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 1/2 (tan.f64 x))))
(.f64 (+.f64 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) -2) (/.f64 1/2 (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))

localize7.0ms (0.1%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2)
✓	0.2b	(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
✓	0.7b	(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
✓	19.1b	(*.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (-.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2))

Compiler

Compiled 67 to 39 computations (41.8% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`rational.json-simplify-35`
1232×	`bool.json-1`
1232×	`bool.json-2`
1200×	`rational.json-1`
1200×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	146
1	143	140
2	437	140
3	1104	140
4	3271	140

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

Outputs
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simplify223.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1018×	`rational.json-simplify-1`
974×	`rational.json-simplify-50`
904×	`rational.json-simplify-35`
894×	`rational.json-simplify-2`
514×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	335	8327
1	945	8303
2	3215	8303
3	4640	8303
4	6082	8303
5	7816	8303

Stop Event

1×	node limit

Counts

179 → 183

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))
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(/.f64 (-.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 2) (+.f64 2 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 2) (+.f64 2 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
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(/.f64 (-.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 2) (+.f64 2 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 2) (+.f64 2 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
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(*.f64 1/2 (pow.f64 x 2))
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(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 1 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 4/3)
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(-.f64 (+.f64 (.f64 2/15 (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 4/189 (pow.f64 x 4)))) 10/3)
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(.f64 (/.f64 4 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) 1/2))
(*.f64 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x)) 1/2)
(.f64 (/.f64 8 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) 4)))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (tan.f64 x)))
(*.f64 -1 (/.f64 (/.f64 2 (tan.f64 x)) (neg.f64 (tan.f64 x))))
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(*.f64 (/.f64 1/2 (tan.f64 x)) (/.f64 4 (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) 1/2) (/.f64 4 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 2 (tan.f64 x)) (neg.f64 (tan.f64 x))) -1)
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) 2)
(*.f64 (/.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (tan.f64 x) 4)) (/.f64 8 (tan.f64 x)))
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(+.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 0)
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(*.f64 1 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2))
(*.f64 2 (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 2))
(*.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 1)
(.f64 (.f64 2 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 2) 2)
(.f64 (+.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 1) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 1)
(/.f64 (*.f64 2 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4) 4)
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(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4))) 16)

Outputs
1
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(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (neg.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))) (neg.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)))) (+.f64 4 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x))))
(/.f64 (+.f64 -2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)))) (+.f64 (neg.f64 (neg.f64 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))) (neg.f64 (neg.f64 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))))
(/.f64 (+.f64 -2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(*.f64 1 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(*.f64 2 (/.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) 2))
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(.f64 (.f64 2 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))) 1/2)
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(.f64 1/2 (.f64 2 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))))
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) 2) 2)
(/.f64 1 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 0)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(+.f64 0 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 0)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 1 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 2 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 2 (/.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 1)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 4 (tan.f64 x)) (/.f64 1/2 (tan.f64 x)))
(.f64 (/.f64 4 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) 1/2))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x)) 1/2)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(.f64 (/.f64 8 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) 4)))
(.f64 (/.f64 8 (tan.f64 x)) (/.f64 1 (.f64 4 (tan.f64 x))))
(*.f64 (/.f64 8 (tan.f64 x)) (/.f64 1/4 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 -1 (/.f64 (/.f64 2 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -2 (tan.f64 x)) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 1/2 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1/2 (tan.f64 x)) (/.f64 4 (tan.f64 x)))
(*.f64 (/.f64 4 (tan.f64 x)) (/.f64 1/2 (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) 1/2) (/.f64 4 (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 2 (tan.f64 x)) (neg.f64 (tan.f64 x))) -1)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) 2)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 2) 2)
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(.f64 (/.f64 1 (.f64 (tan.f64 x) 4)) (/.f64 8 (tan.f64 x)))
(.f64 (/.f64 8 (tan.f64 x)) (/.f64 1 (.f64 4 (tan.f64 x))))
(*.f64 (/.f64 8 (tan.f64 x)) (/.f64 1/4 (tan.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (tan.f64 x))) (/.f64 -2 (tan.f64 x)))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (/.f64 2 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))
(+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(+.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 0)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(+.f64 0 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2))
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2))
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(*.f64 2 (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 2))
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(*.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 1)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(.f64 (.f64 2 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)) 1/2)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(.f64 1/2 (.f64 2 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)))
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 2) 2)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(.f64 (+.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 1) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 1)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 2 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)) 2)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4) 4)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4)) 8)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) 4))) 16)
(+.f64 -2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -2 (/.f64 (/.f64 2 (tan.f64 x)) (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)
	0.3b	(pow.f64 (sin.f64 x) 2)
✓	0.7b	(/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
✓	19.1b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))

Compiler

Compiled 113 to 66 computations (41.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
1.0ms	x	@	-inf	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
0.0ms	x	@	0	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
0.0ms	x	@	-inf	(/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
0.0ms	x	@	inf	(/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`rational.json-simplify-35`
714×	`bool.json-1`
714×	`bool.json-2`
686×	`rational.json-1`
686×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	122
1	215	122
2	664	122
3	1869	122
4	6717	110

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs

(*.f64 (/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))

(/.f64 4 (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (+.f64 4 (/.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (*.f64 4 (+.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) 4) (+.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (*.f64 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)) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (neg.f64 (+.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 2 (+.f64 (/.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 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)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (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)) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.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 1 (+.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 2 (*.f64 2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 4 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4) (/.f64 1 (*.f64 2 (+.f64 (/.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.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)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.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) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/2) (/.f64 4 (+.f64 (/.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 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 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)) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))))))

simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

938×	`rational.json-simplify-35`
912×	`rational.json-simplify-50`
846×	`rational.json-simplify-2`
698×	`rational.json-simplify-41`
566×	`rational.json-simplify-12`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	4699
1	460	4627
2	1104	4615
3	3292	4347
4	4822	4347
5	5871	4347
6	7259	4347

Stop Event

1×	node limit

Counts

71 → 121

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.2b	(/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
✓	0.2b	(/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
✓	5.0b	(*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))

Compiler

Compiled 112 to 47 computations (58% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
1.0ms	x	@	-inf	(/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
1.0ms	x	@	inf	(/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
0.0ms	x	@	0	(/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
0.0ms	x	@	-inf	(/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x))))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`rational.json-simplify-35`
858×	`bool.json-1`
858×	`bool.json-2`
836×	`rational.json-1`
836×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	115
1	136	115
2	502	115
3	2096	101

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

(*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))

(/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))

(/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 (/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (fabs.f64 (tan.f64 x)) 1/2)) (*.f64 (/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (fabs.f64 (tan.f64 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2))) (*.f64 (fabs.f64 (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (fabs.f64 (tan.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (/.f64 1 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simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational.json-simplify-35`
1100×	`rational.json-simplify-40`
970×	`rational.json-simplify-2`
820×	`rational.json-simplify-38`
778×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	293	5731
1	807	5339
2	2279	4245
3	5235	4239

Stop Event

1×	node limit

Counts

137 → 182

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))
(/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) x))
(+.f64 (.f64 2 (/.f64 1 (.f64 (fabs.f64 (tan.f64 x)) x))) (*.f64 -2/3 (/.f64 x (fabs.f64 (tan.f64 x)))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (fabs.f64 (tan.f64 x)) x))) (+.f64 (.f64 -2/3 (/.f64 x (fabs.f64 (tan.f64 x)))) (.f64 -2/45 (/.f64 (pow.f64 x 3) (fabs.f64 (tan.f64 x))))))
(+.f64 (.f64 -4/945 (/.f64 (pow.f64 x 5) (fabs.f64 (tan.f64 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (fabs.f64 (tan.f64 x)) x))) (+.f64 (.f64 -2/3 (/.f64 x (fabs.f64 (tan.f64 x)))) (*.f64 -2/45 (/.f64 (pow.f64 x 3) (fabs.f64 (tan.f64 x)))))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 1/2 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2)))
(+.f64 (.f64 1/3 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 4))) (.f64 1/2 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))))
(+.f64 (.f64 1/3 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))) (.f64 17/90 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 6)))))
(+.f64 (.f64 1/3 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 2))) (+.f64 (.f64 17/90 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 6))) (.f64 31/315 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 8))))))
(.f64 1/2 (/.f64 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (fabs.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (tan.f64 x))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 0)
(+.f64 0 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(-.f64 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 0)
(/.f64 2 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 2 (+.f64 (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fabs.f64 (tan.f64 x)) 1/2)) (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fabs.f64 (tan.f64 x)) 1/2))))
(/.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2)))
(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) 1/2))) (.f64 (fabs.f64 (tan.f64 x)) 1/2))
(/.f64 (/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 1)
(/.f64 1 (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fabs.f64 (tan.f64 x)) 1/2)))
(/.f64 4 (*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 4 (+.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(/.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (+.f64 (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2)) (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2))))
(/.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (+.f64 (/.f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(/.f64 (.f64 2 (/.f64 2 (fabs.f64 (tan.f64 x)))) (.f64 2 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 8 (.f64 2 (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(/.f64 8 (+.f64 (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))))
(/.f64 (.f64 2 (/.f64 4 (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x)))))) 2)
(/.f64 -2 (.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 2 (fabs.f64 (tan.f64 x)))) (-.f64 0 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))
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(/.f64 (.f64 (/.f64 4 (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 2 (fabs.f64 (tan.f64 x))))) 4) 4)
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(/.f64 (/.f64 4 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 2 (fabs.f64 (tan.f64 x))))
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(/.f64 (/.f64 8 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (fabs.f64 (tan.f64 x)) 4))
(/.f64 (/.f64 -2 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (fabs.f64 (tan.f64 x))))
(/.f64 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (.f64 (fabs.f64 (tan.f64 x)) 1/2)))
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(/.f64 (+.f64 (/.f64 2 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 2 (fabs.f64 (tan.f64 x))))
(/.f64 (+.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (tan.f64 x) (tan.f64 x)))
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(/.f64 (+.f64 (/.f64 (.f64 2 (/.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (.f64 2 (/.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) 4)
(/.f64 (+.f64 (/.f64 8 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 8 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 2 (.f64 (fabs.f64 (tan.f64 x)) 4)))
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(/.f64 (neg.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2)))
(/.f64 (neg.f64 (/.f64 4 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (neg.f64 (*.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 8 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (*.f64 (fabs.f64 (tan.f64 x)) 4)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (fabs.f64 (tan.f64 x)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (neg.f64 (fabs.f64 (tan.f64 x)))))
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(-.f64 (/.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) 0)
(.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 1))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
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(.f64 1 (/.f64 2 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) 1/2)
(.f64 (.f64 2 (/.f64 2 (tan.f64 x))) (/.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) 4)))
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(.f64 (.f64 2 (/.f64 2 (tan.f64 x))) (.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) 4)) 1))
(.f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2))))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (tan.f64 x))))
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(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (/.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2)) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 2 (tan.f64 x)))
(.f64 1/2 (.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(.f64 (/.f64 2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
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(.f64 (/.f64 2 (.f64 (fabs.f64 (tan.f64 x)) 4)) (*.f64 2 (/.f64 2 (tan.f64 x))))
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(-.f64 (.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2))) 0)
(.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) 1/2) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) 1/2))) 1)
(.f64 1 (.f64 (tan.f64 x) (.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) 1/2))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (fabs.f64 (tan.f64 x)) 1/2))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 1/2 (/.f64 1 (fabs.f64 (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (.f64 2 (tan.f64 x)) (/.f64 2 (.f64 (/.f64 2 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) 4)))
(.f64 (.f64 2 (tan.f64 x)) (.f64 (/.f64 2 (.f64 (/.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) 4)) 1))
(.f64 (.f64 2 (tan.f64 x)) (.f64 1/2 (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2))))
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(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (.f64 1/2 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2)))
(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (.f64 (/.f64 1 (/.f64 4 (.f64 (tan.f64 x) (tan.f64 x)))) 1))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (/.f64 2 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) 1))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2)))
(.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (/.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2)))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) 1/2) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1/2) (fabs.f64 (tan.f64 x)))
(.f64 (.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2)) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1/2)) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 2 (.f64 (/.f64 2 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) 4)) (.f64 2 (tan.f64 x)))
(.f64 (/.f64 1 (/.f64 4 (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (fabs.f64 (tan.f64 x))))

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

eval386.0ms (3.7%)

Compiler: Compiled 31657 to 16560 computations (47.7% saved)

prune219.0ms (2.1%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	995	8	1003
Fresh	7	18	25
Picked	0	1	1
Done	2	8	10
Total	1004	35	1039

Error

0.0b

Counts

1039 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.1b	(/.f64 (-.f64 1 (pow.f64 x 2)) 1)
✓	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))))
	24.4b	(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (fabs.f64 (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.3b	(/.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 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	27.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 (-.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 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) 1/2)) (.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)))))
✓	23.0b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
	27.6b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) x)) 1)
	19.8b	(/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))
	20.0b	(/.f64 (+.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)) -1/2) (+.f64 1/2 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) (pow.f64 (sin.f64 x) 2))))
	19.8b	(/.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 1/2 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x)))))
	20.0b	(/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (/.f64 (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	19.9b	(/.f64 2 (/.f64 (+.f64 4 (/.f64 (/.f64 4 (tan.f64 x)) (tan.f64 x))) (+.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) -2)))
	0.5b	(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
✓	28.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	27.5b	(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
	25.3b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) 1/2))
✓	19.9b	(.f64 (/.f64 4 (+.f64 2 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	20.0b	(.f64 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (-.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	20.1b	(.f64 (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))) (-.f64 (.f64 (/.f64 8 (tan.f64 x)) (/.f64 1/4 (tan.f64 x))) 2))
	19.4b	(.f64 (/.f64 1 (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)))) (tan.f64 x))))
	0.5b	(.f64 (tan.f64 x) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))))
	20.0b	(.f64 4 (/.f64 (+.f64 (/.f64 1/2 (.f64 (tan.f64 x) (tan.f64 x))) -1/2) (+.f64 2 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
	0.4b	(.f64 2 (+.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1/2))
	0.4b	(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
✓	0.3b	(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
	0.5b	(neg.f64 (.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)))))))
	25.3b	1

Compiler

Compiled 765 to 455 computations (40.5% saved)

regimes111.0ms (1.1%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	(tan.f64 x)
25.0ms	x
20.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
15.0ms	(*.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 1552 to 725 computations (53.3% saved)

regimes18.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f64 2 (+.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1/2))

Calls

3 calls:

6.0ms	(tan.f64 x)
5.0ms	x
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
0.4b	1	`(tan.f64 x)`

Compiler

Compiled 115 to 80 computations (30.4% saved)

regimes13.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
23.0b	1	`x`
23.0b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
23.0b	1	`(tan.f64 x)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes5.0ms (0%)

Accuracy

Total -3.0b remaining (-12%)

Threshold costs -3.0b (-12%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
25.3b	1	`x`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	114

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

Outputs
(/.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 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1/2))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
1

Compiler

Compiled 42 to 28 computations (33.3% saved)

soundness0.0ms (0%)

end26.0ms (0.2%)

Compiler: Compiled 39 to 21 computations (46.2% saved)