Details

analyze182.0ms (2.4%)

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 (18.5%)

Results

608.0ms	2088×	body	1024	valid
553.0ms	5146×	body	256	valid
201.0ms	1014×	body	512	valid
3.0ms	8×	body	2048	valid

Bogosity

preprocess45.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

814×	`rational_best-simplify-113`
772×	`rational_best-simplify-111`
638×	`rational_best-simplify-96`
610×	`rational_best-simplify-117`
548×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	47	47
2	263	47
3	1723	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)

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

814×	`rational_best-simplify-113`
772×	`rational_best-simplify-111`
638×	`rational_best-simplify-96`
610×	`rational_best-simplify-117`
548×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	47	47
2	263	47
3	1723	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)

localize13.0ms (0.2%)

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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (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 39 to 13 computations (66.7% saved)

series4.0ms (0.1%)

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))

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`rational_best-simplify-113`
772×	`rational_best-simplify-111`
638×	`rational_best-simplify-96`
610×	`rational_best-simplify-117`
546×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	104
1	47	104
2	263	104
3	1723	104

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.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 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 1)))) (#(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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(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)) 1)))) (#(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 (.f64 (.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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1)) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (+.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (#(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 (fabs.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 2) 0) (/.f64 (+.f64 1 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (+.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 2)) (*.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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(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 0 (-.f64 1 (.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 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 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()
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simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

884×	`rational_best-simplify-96`
872×	`rational_best-simplify-65`
852×	`rational_best-simplify-61`
620×	`rational_best-simplify-111`
600×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	411	7198
1	2383	7022

Stop Event

1×	node limit

Counts

178 → 202

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

eval93.0ms (1.2%)

Compiler: Compiled 10609 to 3778 computations (64.4% saved)

prune76.0ms (1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	216	33	249
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	216	34	250

Error

0.1b

Counts

250 → 34

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.7b	(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -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))))
	15.9b	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	29.5b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))) (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 (.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))))) (.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))) (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	25.0b	(/.f64 (/.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)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	25.0b	(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (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) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.2b	(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.0b	(/.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))
	0.5b	(/.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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) -1)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (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)) 1)))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (.f64 1 (/.f64 (.f64 (tan.f64 x) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	34.1b	(/.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))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 1 (fabs.f64 (tan.f64 x))))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.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))))
	0.4b	(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	15.9b	(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (.f64 1 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	31.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.2b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
	35.1b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
▶	35.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)

Compiler

Compiled 2786 to 1270 computations (54.4% saved)

localize64.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 1 (fabs.f64 (tan.f64 x))))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))
✓	0.4b	(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))

Compiler

Compiled 262 to 124 computations (52.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`rational_best-simplify-3`
1198×	`rational_best-simplify-61`
724×	`rational_best-simplify-62`
556×	`rational_best-simplify-52`
522×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	90	75
2	553	63
3	3903	51

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Inputs

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

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

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

Outputs
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simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

764×	`rational_best-simplify-117`
748×	`rational_best-simplify-96`
668×	`rational_best-simplify-65`
650×	`rational_best-simplify-61`
530×	`rational_best-simplify-113`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	288	6363
1	1889	5937

Stop Event

1×	node limit

Counts

135 → 112

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
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Outputs
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(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1)))) (.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1))))) (.f64 (.f64 (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1)))) (.f64 (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 (.f64 (.f64 (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1)))) (.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1))))) (.f64 (.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1)))) (.f64 (+.f64 (+.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 0 (tan.f64 x)) 1)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 0 (tan.f64 x)) 1))) (-.f64 (-.f64 1 (/.f64 0 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(neg.f64 (*.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))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series5.0ms (0.1%)

Counts

2 → 9

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 -2 (pow.f64 x 2))
0.0ms	x	@	0	(*.f64 -2 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
0.0ms	x	@	-inf	(*.f64 -2 (pow.f64 x 2))
0.0ms	x	@	0	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)

rewrite130.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`rational_best-simplify-52`
704×	`rational_best-simplify-113`
682×	`rational_best-simplify-1`
452×	`rational_best-simplify-21`
450×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	14	32
2	48	32
3	204	32
4	1290	32
5	6817	32

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

624×	`rational_best-simplify-124`
596×	`rational_best-simplify-65`
588×	`rational_best-simplify-117`
586×	`rational_best-simplify-96`
568×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	260	5433
1	1541	5161

Stop Event

1×	node limit

Counts

97 → 127

Calls

Call 1

Inputs
1
(*.f64 -2 (pow.f64 x 2))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) -1)
(+.f64 -1 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) 1)
(-.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) (-.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 (*.f64 -2 (pow.f64 x 2)) -1))
(/.f64 (.f64 -2 (.f64 (pow.f64 x 2) -4)) -4)
(/.f64 (.f64 -2 (-.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4)))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(/.f64 (+.f64 (.f64 -2 (-.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4)))) (.f64 -2 (-.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4))))) (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 4))))
(/.f64 (-.f64 (.f64 -2 (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 4))) (-.f64 4 (.f64 -2 (*.f64 (pow.f64 x 2) 4))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) (-.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 (.f64 -2 (pow.f64 x 2)) -1)) (.f64 (.f64 -2 (-.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4)))) (.f64 -2 (-.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4)))))) (-.f64 (.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (-.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 (.f64 -2 (pow.f64 x 2)) -1))))
(pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 2 (pow.f64 x 2)))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 1 0) (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 2)))
(if (!=.f64 -1 0) (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (.f64 -2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (.f64 -2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) 0)
(if (!=.f64 0 0) 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) 0) (/.f64 (.f64 -2 (+.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4)))) (+.f64 (.f64 -2 (pow.f64 x 2)) 1)) (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) 1)) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) -1) (+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) 1))) (.f64 -2 (pow.f64 x 2)))
(if (!=.f64 -2 0) (+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 -2 (pow.f64 x 2)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) -1)
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) 0)
(-.f64 0 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) 1)
(.f64 -1 (+.f64 (.f64 2 (pow.f64 x 2)) -1))
(.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) -1)
(/.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) 1)
(/.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) -1) -1)
(/.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (*.f64 2 (pow.f64 x 2)))
(/.f64 (.f64 -2 (+.f64 (pow.f64 x 2) (.f64 -2 (pow.f64 x 4)))) (*.f64 -2 (pow.f64 x 2)))
(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
(/.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4))
(/.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))))
(/.f64 (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4)))) (.f64 (.f64 (pow.f64 x 2) -4) (.f64 2 (pow.f64 x 4))))
(/.f64 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)) -2)
(/.f64 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) 4)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (.f64 (pow.f64 x 2) -4))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))) (.f64 -2 (.f64 (pow.f64 x 2) -4)))
(/.f64 (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))) (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4)))))) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))))
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1))) -4)
(/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))) 8)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1))) (+.f64 (.f64 (pow.f64 x 2) -4) (.f64 (pow.f64 x 2) -4)))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))) (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))) (+.f64 (.f64 -2 (.f64 (pow.f64 x 2) -4)) (.f64 -2 (.f64 (pow.f64 x 2) -4))))
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))) (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))))) (+.f64 (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1))))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1))))) (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))) (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4)))))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4))))))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))))))
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4)))) (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))))))
(/.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 4))) -2) (/.f64 (pow.f64 x 2) 2))
(/.f64 (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -4)) (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))
(/.f64 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) (.f64 -2 (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 x 2) 4)))
(/.f64 (/.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 2 (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 x 2) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 -2 (pow.f64 x 4))) -2) (/.f64 (pow.f64 x 2) -2))
(/.f64 (/.f64 (+.f64 -2 (*.f64 (pow.f64 x 2) 4)) (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 2)))
(/.f64 (/.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 -2 (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 x 2) -4)))
(/.f64 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) (.f64 2 (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 x 2) -4)))
(/.f64 (-.f64 (.f64 -2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1))) (.f64 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (-.f64 4 (.f64 -2 (.f64 2 (+.f64 (*.f64 2 (pow.f64 x 2)) -1)))))
(/.f64 (-.f64 (.f64 4 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))) (.f64 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))))) (-.f64 16 (.f64 4 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4)))))))
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Outputs
1
(*.f64 -2 (pow.f64 x 2))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
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(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(*.f64 -2 (pow.f64 x 2))
(+.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) -1)
(*.f64 -2 (pow.f64 x 2))
(+.f64 -1 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(*.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)) 0)
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(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) 1)
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(/.f64 (-.f64 (.f64 -2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1))) (.f64 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (-.f64 4 (.f64 -2 (.f64 2 (+.f64 (*.f64 2 (pow.f64 x 2)) -1)))))
(/.f64 (.f64 2 (+.f64 -1 (.f64 2 (pow.f64 x 2)))) -2)
(/.f64 (-.f64 -2 (.f64 2 (.f64 -2 (pow.f64 x 2)))) -2)
(/.f64 (-.f64 (.f64 4 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))) (.f64 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))))) (-.f64 16 (.f64 4 (+.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4)))))))
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -4)) 2)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) -4) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1))) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (-.f64 (.f64 (.f64 (pow.f64 x 2) -4) (.f64 (pow.f64 x 2) -4)) (.f64 (.f64 (pow.f64 x 2) -4) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))))
(/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 -1 (.f64 2 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) -4))
(/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 -1 (.f64 -2 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) -4))
(/.f64 (-.f64 (.f64 (.f64 -2 (.f64 (pow.f64 x 2) -4)) (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))) (.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))) (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))))) (-.f64 (.f64 (.f64 -2 (.f64 (pow.f64 x 2) -4)) (.f64 -2 (.f64 (pow.f64 x 2) -4))) (.f64 (.f64 -2 (.f64 (pow.f64 x 2) -4)) (+.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))))))
(/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4)) (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4))) (*.f64 (pow.f64 x 2) 8))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))))) (-.f64 (.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4)))) (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))))))
(/.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 -2 (.f64 -2 (pow.f64 x 4))))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))))
(/.f64 (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 4))) (.f64 (pow.f64 x 4) (.f64 -8 (neg.f64 (pow.f64 x 2)))))
(/.f64 (-.f64 (.f64 (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))))) (.f64 (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))) (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))))) (-.f64 (.f64 (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1))))) (.f64 (+.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (-.f64 (.f64 2 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))) (+.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) -4))))))))
(/.f64 (-.f64 (.f64 2 (+.f64 2 (.f64 (pow.f64 x 2) -4))) (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (+.f64 4 (.f64 2 (.f64 2 (+.f64 -1 (.f64 2 (pow.f64 x 2)))))))
(/.f64 (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (-.f64 2 (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (+.f64 4 (.f64 (-.f64 -1 (*.f64 -2 (pow.f64 x 2))) 4)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1))))) (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))) (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4))))) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 2) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) -1)))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4)) 4)) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4)) (+.f64 -1 (.f64 2 (pow.f64 x 2)))))) (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 4 (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4)))) (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (.f64 (pow.f64 x 2) -4) (.f64 (+.f64 1 (.f64 -2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 4))))) (.f64 (pow.f64 x 2) (.f64 (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 2))) 4))) 4)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4))))))) (.f64 (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4)))))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4)))))))) (-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))))) (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 -2 (.f64 -2 (pow.f64 x 4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))) (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 -2 (.f64 2 (pow.f64 x 4)))))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 -2 (.f64 -2 (pow.f64 x 4)))))) (.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 -2 (.f64 -2 (pow.f64 x 4))))) (.f64 -2 (.f64 (.f64 -2 (-.f64 (.f64 2 (pow.f64 x 4)) (pow.f64 x 2))) (.f64 2 (pow.f64 x 4)))))) (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 4))) (.f64 (pow.f64 x 2) (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 -2 (.f64 -2 (pow.f64 x 4))))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 4))) (.f64 (pow.f64 x 4) (.f64 -8 (neg.f64 (pow.f64 x 2))))) (.f64 (.f64 (pow.f64 x 4) -4) (.f64 (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 4))) (-.f64 (.f64 (pow.f64 x 4) -4) (.f64 -2 (pow.f64 x 2)))))) (.f64 (.f64 (pow.f64 x 4) (.f64 -8 (neg.f64 (pow.f64 x 2)))) (-.f64 (.f64 (pow.f64 x 4) (.f64 -8 (neg.f64 (pow.f64 x 2)))) (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 4))))))
(pow.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1) 1)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 0) (/.f64 (+.f64 1 (.f64 -2 (.f64 2 (pow.f64 x 4)))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(if (!=.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 0) (/.f64 (+.f64 1 (.f64 -2 (.f64 2 (pow.f64 x 4)))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 -2 (pow.f64 x 2))))
(if (!=.f64 (-.f64 1 (.f64 -2 (pow.f64 x 2))) 0) (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -4)) (-.f64 1 (.f64 -2 (pow.f64 x 2)))) (+.f64 1 (.f64 -2 (pow.f64 x 2))))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 1 0) (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) -1) 0) (/.f64 (+.f64 1 (.f64 -2 (.f64 2 (pow.f64 x 4)))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(if (!=.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) -1) 0) (/.f64 (+.f64 1 (.f64 -2 (.f64 2 (pow.f64 x 4)))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (+.f64 1 (*.f64 -2 (pow.f64 x 2))))
(if (!=.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) -1) 0) (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -4)) (-.f64 1 (.f64 -2 (pow.f64 x 2)))) (+.f64 1 (.f64 -2 (pow.f64 x 2))))
(if (!=.f64 -1 0) (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (.f64 -2 (pow.f64 x 2)) 0) (+.f64 (.f64 -2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 0 0) 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) 0) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) 1) 0) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) 0)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) 0) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) -1) (+.f64 (.f64 2 (pow.f64 x 2)) -1)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (tan.f64 x))
✓	0.1b	(-.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x))))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 64 to 32 computations (50% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`rational_best-simplify-113`
670×	`rational_best-simplify-96`
658×	`rational_best-simplify-117`
610×	`rational_best-simplify-65`
592×	`rational_best-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	71
1	52	59
2	289	59
3	2220	47

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

654×	`rational_best-simplify-113`
588×	`rational_best-simplify-124`
562×	`rational_best-simplify-96`
558×	`rational_best-simplify-65`
548×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	285	4304
1	1530	4298

Stop Event

1×	node limit

Counts

124 → 132

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 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.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 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 (.f64 (neg.f64 (tan.f64 x)) 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 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(.f64 -1 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 1 0) (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 (+.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.f64 (-.f64 1 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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 x)))
(if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (.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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 1)
(+.f64 0 (-.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))) 1)
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x)))
(.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (/.f64 -1 (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))
(.f64 (/.f64 (.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 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 (.f64 (tan.f64 x) (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (fabs.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (-.f64 1 (.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))) 2))) (.f64 (.f64 (tan.f64 x) -2) (*.f64 (tan.f64 x) -2)))
(/.f64 (+.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) -2)))
(/.f64 (+.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -2)
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x)))))) (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))))) (.f64 (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x)))))))))
(/.f64 (-.f64 (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))) (.f64 (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))) (-.f64 (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))) (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(if (!=.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 1 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 -1 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 0) (/.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) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 0)) 0) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (tan.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (tan.f64 x))))
(*.f64 -1 (neg.f64 (/.f64 1 (tan.f64 x))))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) -1)
(neg.f64 (neg.f64 (/.f64 1 (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 (pow.f64 x 2) (+.f64 (.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (+.f64 (pow.f64 x 2) (.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))
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 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.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 1 (+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 (neg.f64 (pow.f64 x 2)) (.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)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x -1/3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x -1/3)))
(+.f64 (.f64 x -1/3) (+.f64 (/.f64 1 x) (.f64 -1/45 (pow.f64 x 3))))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/3)) (+.f64 (.f64 -2/945 (pow.f64 x 5)) (*.f64 -1/45 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x -1/3) (.f64 -1/45 (pow.f64 x 3))) (*.f64 -2/945 (pow.f64 x 5))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 1 (+.f64 (*.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 (*.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) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(*.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 (.f64 (neg.f64 (tan.f64 x)) 0) (.f64 (tan.f64 x) (neg.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 (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 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.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 (neg.f64 (tan.f64 x)) (neg.f64 (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))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.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))
(if (!=.f64 1 0) (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(if (!=.f64 (+.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.f64 (-.f64 1 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (.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) (neg.f64 (tan.f64 x))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x)))))) (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))))) (.f64 (.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))) (-.f64 (.f64 (.f64 (tan.f64 x) (.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 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (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 (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) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))) (.f64 (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))) (-.f64 (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)))) (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2))))))
(/.f64 (.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 2)
(/.f64 (-.f64 2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) 2)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 1 0) (-.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)))
(if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (-.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)))
(if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 -1 0) (-.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)))
(if (!=.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 0) (/.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) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (-.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)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 0)) 0) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(-.f64 0 (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(*.f64 -1 (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) -1)
(/.f64 1 (tan.f64 x))
(neg.f64 (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x)))
✓	15.1b	(/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x))

Compiler

Compiled 118 to 42 computations (64.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best-simplify-113`
562×	`rational_best-simplify-111`
542×	`rational_best-simplify-110`
536×	`rational_best-simplify-96`
528×	`rational_best-simplify-117`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	149
1	41	147
2	238	143
3	1524	103

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (tan.f64 x) 0) (*.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (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 (*.f64 (tan.f64 x) (neg.f64 (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 1 (*.f64 (tan.f64 x) (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 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) -2))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 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simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

820×	`rational_best-simplify-117`
816×	`rational_best-simplify-96`
770×	`rational_best-simplify-65`
762×	`rational_best-simplify-113`
758×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	345	7151
1	2127	6971

Stop Event

1×	node limit

Counts

129 → 142

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 -1 x) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 214/315 (pow.f64 x 7)) (+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 -1 x) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 214/315 (pow.f64 x 7)) (+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(if (!=.f64 (tan.f64 x) 0) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)))
(+.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 1)
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(-.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
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(if (!=.f64 -1 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (tan.f64 x)))
(-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(-.f64 0 (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(-.f64 (.f64 (tan.f64 x) 0) (.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 0) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (.f64 (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)) -1)) 1)
(/.f64 (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1)
(neg.f64 (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(if (!=.f64 (neg.f64 (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (tan.f64 x) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.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)) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (+.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.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 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) 0) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (neg.f64 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 -1 x) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 5))))
(+.f64 (+.f64 (neg.f64 x) (.f64 2/3 (pow.f64 x 3))) (.f64 13/15 (pow.f64 x 5)))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 214/315 (pow.f64 x 7)) (+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3))) (.f64 214/315 (pow.f64 x 7))))
(+.f64 (.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (neg.f64 x) (.f64 214/315 (pow.f64 x 7))) (*.f64 13/15 (pow.f64 x 5))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.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 (+.f64 1 (.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 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6))) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6)))))
(*.f64 -1 (-.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))) -1)
(-.f64 1 (/.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 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (-.f64 (/.f64 (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))) -1)
(-.f64 1 (/.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 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (-.f64 (/.f64 (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))) -1)
(-.f64 1 (/.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 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (-.f64 (/.f64 (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))) -1)
(-.f64 1 (/.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 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (neg.f64 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 -1 x) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 5))))
(+.f64 (+.f64 (neg.f64 x) (.f64 2/3 (pow.f64 x 3))) (.f64 13/15 (pow.f64 x 5)))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (.f64 214/315 (pow.f64 x 7)) (+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3)))))
(+.f64 (.f64 13/15 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 -1 x) (.f64 2/3 (pow.f64 x 3))) (.f64 214/315 (pow.f64 x 7))))
(+.f64 (.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (neg.f64 x) (.f64 214/315 (pow.f64 x 7))) (*.f64 13/15 (pow.f64 x 5))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(if (!=.f64 (tan.f64 x) 0) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)))
(if (!=.f64 (tan.f64 x) 0) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x)))
(if (!=.f64 (tan.f64 x) 0) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))
(+.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (neg.f64 (tan.f64 x)))
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(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1)
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (neg.f64 (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (tan.f64 x) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (tan.f64 x)) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.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)) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(if (!=.f64 (.f64 (tan.f64 x) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(if (!=.f64 (+.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.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 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) 0) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) 0) (/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(if (!=.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))) (.f64 (tan.f64 x) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 186 to 54 computations (71% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational_best-simplify-113`
874×	`rational_best-simplify-111`
674×	`rational_best-simplify-96`
614×	`rational_best-simplify-61`
608×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	127
1	53	127
2	296	127
3	1951	127

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs

(/.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)) 1))

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 1 (tan.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) 0) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1 (tan.f64 x)) 0) (*.f64 (*.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (neg.f64 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simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

886×	`rational_best-simplify-1`
680×	`rational_best-simplify-18`
676×	`rational_best-simplify-20`
396×	`rational_best-simplify-124`
392×	`rational_best-simplify-126`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	3472
1	1051	2894
2	7243	2882

Stop Event

1×	node limit

Counts

90 → 94

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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 x 3)
(+.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (+.f64 (.f64 88/189 (pow.f64 x 9)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(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))
(if (!=.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) 0))
(-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 1 (tan.f64 x)) 0))
(-.f64 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(-.f64 (.f64 (tan.f64 x) 0) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(-.f64 (.f64 (.f64 1 (tan.f64 x)) 0) (.f64 (.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (.f64 (.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(/.f64 (.f64 (.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (+.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (+.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (+.f64 (+.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (+.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (-.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (-.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))))
(neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
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(+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
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(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0))
(-.f64 0 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (neg.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)) 0) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 1 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0)) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
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(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) 2)
(/.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 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) 4)
(/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (+.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x)))))
(pow.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.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 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
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(+.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))))
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 x 3)
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(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
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(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
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(pow.f64 x 4)
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(/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (.f64 1 (tan.f64 x)) 1)) (-.f64 (.f64 (.f64 1 (tan.f64 x)) 1) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
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(/.f64 (+.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
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(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (-.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (.f64 (.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (+.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x)))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (+.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (+.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (-.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (-.f64 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (*.f64 1 (tan.f64 x))))
(.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(+.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(+.f64 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.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 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 0 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 (.f64 1 (.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0)) (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 -1 (tan.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) 2)
(/.f64 (.f64 (tan.f64 x) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x)))) 2)
(/.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (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 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 x)))) 4)
(/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 1 (/.f64 (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (+.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(pow.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(neg.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(fabs.f64 (neg.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)

eval615.0ms (8.2%)

Compiler: Compiled 63349 to 28688 computations (54.7% saved)

prune286.0ms (3.8%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	1006	24	1030
Fresh	6	22	28
Picked	1	0	1
Done	1	4	5
Total	1014	50	1064

Error

0.0b

Counts

1064 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (.f64 1 (tan.f64 x)) 1)) (-.f64 (.f64 (.f64 1 (tan.f64 x)) 1) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	16.7b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.9b	(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	24.8b	(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	25.0b	(/.f64 (/.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)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.2b	(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.0b	(/.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))
	0.5b	(/.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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
✓	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	34.5b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	31.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (.f64 x -1/3)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) -1)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (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)) 1)))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (.f64 1 (/.f64 (.f64 (tan.f64 x) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	34.1b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 1 (fabs.f64 (tan.f64 x))))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (/.f64 (.f64 (-.f64 1 (fabs.f64 (tan.f64 x))) (-.f64 1 (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 1 (fabs.f64 (tan.f64 x)))))) (.f64 (/.f64 1 (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 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (/.f64 (.f64 (-.f64 -1 (neg.f64 (tan.f64 x))) (-.f64 -1 (neg.f64 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)))) (.f64 (/.f64 1 (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 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.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))))
	35.0b	(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
	0.4b	(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.0b	(/.f64 (.f64 (/.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (.f64 2 (tan.f64 x))) (/.f64 -2 (.f64 2 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	16.0b	(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (if (!=.f64 (-.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.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 (tan.f64 x) (tan.f64 x)))))
✓	15.9b	(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	34.5b	(/.f64 (.f64 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (.f64 1 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	31.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.0b	(+.f64 (if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2))) 1)
	35.2b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
	35.1b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
✓	35.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
▶	62.7b	(*.f64 -2 (pow.f64 x 2))
	31.9b	1

Compiler

Compiled 3228 to 1700 computations (47.3% saved)

localize63.0ms (0.8%)

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) (neg.f64 (tan.f64 x)))
✓	0.3b	(/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))
	0.4b	(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))

Compiler

Compiled 257 to 112 computations (56.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational_best-simplify-61`
752×	`rational_best-simplify-53`
710×	`rational_best-simplify-56`
688×	`rational_best-simplify-52`
566×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	142
1	106	130
2	667	122
3	4413	104

Stop Event

1×	node limit

Counts

2 → 13

Calls

Call 1

Inputs

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

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

Outputs

()

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

662×	`rational_best-simplify-65`
644×	`rational_best-simplify-96`
628×	`rational_best-simplify-61`
622×	`rational_best-simplify-117`
526×	`rational_best-simplify-113`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1623
1	351	1593
2	2064	1569

Stop Event

1×	node limit

Counts

37 → 46

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (tan.f64 x))
	0.1b	(-.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) 1) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 64 to 32 computations (50% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.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))
✓	15.9b	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 94 to 28 computations (70.2% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.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)))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`rational_best-simplify-96`
988×	`rational_best-simplify-65`
986×	`rational_best-simplify-61`
696×	`rational_best-simplify-3`
550×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	129
1	65	129
2	414	83
3	3015	83

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational_best-simplify-61`
864×	`rational_best-simplify-3`
584×	`rational_best-simplify-1`
526×	`rational_best-simplify-53`
472×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	3946
1	767	3204
2	4657	3192

Stop Event

1×	node limit

Counts

98 → 103

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)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))) 2/3)
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 5/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))) 5/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))) 5/3)
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(+.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
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(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(-.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x))))
(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (+.f64 (fabs.f64 (tan.f64 x)) (/.f64 0 (tan.f64 x))))
(.f64 (+.f64 (tan.f64 x) (/.f64 0 (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)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))))
(.f64 (+.f64 (fabs.f64 (tan.f64 x)) (/.f64 0 (tan.f64 x))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (fabs.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))))
(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (fabs.f64 (tan.f64 x))))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(if (!=.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 1 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 -1 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) 0) (/.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) (tan.f64 x)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0)) 0) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) 0)
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Outputs
1
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(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (neg.f64 (-.f64 1 (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (neg.f64 (-.f64 1 (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (neg.f64 (-.f64 1 (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (/.f64 1 (tan.f64 x)) (tan.f64 x)) 0) (/.f64 (-.f64 1 (.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) (tan.f64 x))) (.f64 0 (/.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 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 0 (neg.f64 (/.f64 (-.f64 1 (.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) (tan.f64 x))) (.f64 0 (/.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 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (-.f64 1 (/.f64 0 (.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (neg.f64 (-.f64 1 (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (/.f64 1 (tan.f64 x)) (tan.f64 x)) 0) (neg.f64 (/.f64 (-.f64 1 (.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) (tan.f64 x))) (.f64 0 (/.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 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 1 (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 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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) (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (tan.f64 x)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 -1 (neg.f64 (/.f64 (-.f64 1 (.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) (tan.f64 x))) (.f64 0 (/.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 (neg.f64 (/.f64 (/.f64 1 (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 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (.f64 (tan.f64 x) (tan.f64 x)) -1) (fabs.f64 (tan.f64 x))) (/.f64 -1 (fabs.f64 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (tan.f64 x)) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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 (fabs.f64 (tan.f64 x))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (fabs.f64 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 0 (/.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)))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (.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) (tan.f64 x))) (.f64 0 (/.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)))

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 202 to 77 computations (61.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational_best-simplify-96`
914×	`rational_best-simplify-65`
910×	`rational_best-simplify-61`
750×	`rational_best-simplify-3`
560×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	127
1	69	127
2	430	127
3	2873	127

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))) (fabs.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))))

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

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

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`rational_best-simplify-3`
736×	`rational_best-simplify-1`
686×	`rational_best-simplify-53`
580×	`rational_best-simplify-21`
566×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3117
1	745	2515
2	5335	2489

Stop Event

1×	node limit

Counts

75 → 82

Calls

Call 1

Inputs
(pow.f64 x 3)
(+.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (+.f64 (.f64 88/189 (pow.f64 x 9)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.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 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))
(.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(if (!=.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))
(+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) -1)
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.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 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.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)))) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(/.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (tan.f64 x)))
(/.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(/.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (+.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(/.f64 (+.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 (+.f64 (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(/.f64 (+.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (-.f64 (/.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 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))

Outputs
(pow.f64 x 3)
(+.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 5))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (*.f64 11/15 (pow.f64 x 7))))
(+.f64 (pow.f64 x 5) (+.f64 (.f64 88/189 (pow.f64 x 9)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(+.f64 (pow.f64 x 5) (+.f64 (.f64 11/15 (pow.f64 x 7)) (+.f64 (pow.f64 x 3) (.f64 88/189 (pow.f64 x 9)))))
(+.f64 (pow.f64 x 3) (+.f64 (+.f64 (.f64 11/15 (pow.f64 x 7)) (.f64 88/189 (pow.f64 x 9))) (pow.f64 x 5)))
(+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (+.f64 (.f64 11/15 (pow.f64 x 7)) (.f64 88/189 (pow.f64 x 9)))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) 1))
(+.f64 (neg.f64 (pow.f64 x 2)) (-.f64 1 (*.f64 (pow.f64 x 4) 2/3)))
(-.f64 (-.f64 1 (pow.f64 x 2)) (*.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 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 -17/45 (pow.f64 x 6)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6))) (-.f64 1 (.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (-.f64 1 (pow.f64 x 2)) (.f64 -17/45 (pow.f64 x 6))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (/.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 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 4/3))
(+.f64 (.f64 4/3 (pow.f64 x 6)) (+.f64 (.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))
(+.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 6) 4/3) (.f64 6/5 (pow.f64 x 8))))
(+.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 (.f64 (pow.f64 x 6) 4/3) (+.f64 (+.f64 (pow.f64 x 4) (.f64 6/5 (pow.f64 x 8))) (*.f64 848/945 (pow.f64 x 10))))
(+.f64 (.f64 6/5 (pow.f64 x 8)) (+.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 6) 4/3)) (*.f64 848/945 (pow.f64 x 10))))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (neg.f64 (tan.f64 x)) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(if (!=.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))
(if (!=.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(+.f64 0 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(-.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) -1)
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (/.f64 -1 (.f64 (tan.f64 x) (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 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 -1 (tan.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 -1 (tan.f64 x)))
(/.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)))) 2)
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (.f64 (tan.f64 x) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (tan.f64 x)))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fabs.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))) (+.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (+.f64 (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (+.f64 (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(/.f64 (+.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (-.f64 (/.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 (tan.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (.f64 (tan.f64 x) (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(neg.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(fabs.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)
(fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(fabs.f64 (.f64 (tan.f64 x) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)))

eval495.0ms (6.6%)

Compiler: Compiled 50452 to 22015 computations (56.4% saved)

prune286.0ms (3.8%)

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	989	13	1002
Fresh	11	30	41
Picked	1	0	1
Done	1	7	8
Total	1002	50	1052

Error

0.0b

Counts

1052 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	62.7b	(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (pow.f64 x 2)) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (.f64 1 (tan.f64 x)) 1)) (-.f64 (.f64 (.f64 1 (tan.f64 x)) 1) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
▶	16.8b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.8b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	16.7b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	16.9b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.9b	(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	16.8b	(/.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (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))))
	16.8b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	25.0b	(/.f64 (/.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)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	16.2b	(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.0b	(/.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))
	0.5b	(/.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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
✓	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	34.5b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) -1)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (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)) 1)))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (.f64 1 (/.f64 (.f64 (tan.f64 x) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	34.1b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (/.f64 (.f64 (-.f64 1 (fabs.f64 (tan.f64 x))) (-.f64 1 (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 1 (fabs.f64 (tan.f64 x)))))) (.f64 (/.f64 1 (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 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (/.f64 (.f64 (-.f64 -1 (neg.f64 (tan.f64 x))) (-.f64 -1 (neg.f64 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)))) (.f64 (/.f64 1 (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 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
	34.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
	28.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	35.0b	(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
	0.4b	(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	15.9b	(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	34.5b	(/.f64 (.f64 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (.f64 1 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	31.6b	(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
	31.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.2b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
▶	35.1b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
✓	35.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
✓	62.7b	(*.f64 -2 (pow.f64 x 2))
	31.9b	1

Compiler

Compiled 2922 to 1576 computations (46.1% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2))
✓	0.2b	(pow.f64 (fabs.f64 (tan.f64 x)) 2)
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))

Compiler

Compiled 112 to 64 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 0

Calls

9 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`rational_best-simplify-96`
858×	`rational_best-simplify-65`
856×	`rational_best-simplify-61`
544×	`rational_best-simplify-3`
494×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	89
1	72	89
2	412	89
3	2792	89

Stop Event

1×	node limit

Counts

3 → 17

Calls

Call 1

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

Outputs

()

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

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

842×	`rational_best-simplify-96`
784×	`rational_best-simplify-117`
506×	`rational_best-simplify-113`
502×	`rational_best-simplify-65`
492×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	297
1	120	297
2	660	297
3	3048	297

Stop Event

1×	node limit

Counts

17 → 19

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4)))
✓	0.0b	(+.f64 1 (*.f64 (pow.f64 x 2) -4))
✓	0.0b	(*.f64 (pow.f64 x 2) -4)

Compiler

Compiled 40 to 34 computations (15% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`rational_best-simplify-111`
852×	`rational_best-simplify-113`
614×	`rational_best-simplify-117`
610×	`rational_best-simplify-96`
478×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	20	51
2	65	51
3	356	51
4	1829	51

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 2) -4)
(+.f64 1 (*.f64 (pow.f64 x 2) -4))
(+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4)))

Outputs

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simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1084×	`rational_best-simplify-65`
1082×	`rational_best-simplify-61`
1074×	`rational_best-simplify-96`
640×	`rational_best-simplify-62`
620×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	427	10104
1	2769	10080

Stop Event

1×	node limit

Counts

186 → 213

Calls

Call 1

Inputs
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) -4) 0)
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -4) -1))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -4) 1) -1)
(+.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) -4) 1))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -4) -1) 1)
(+.f64 0 (*.f64 (pow.f64 x 2) -4))
(-.f64 (*.f64 (pow.f64 x 2) -4) 0)
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 4)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -4) 1) 1)
(-.f64 -1 (-.f64 -1 (*.f64 (pow.f64 x 2) -4)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -4) -1) -1)
(-.f64 0 (*.f64 (pow.f64 x 2) 4))
(-.f64 (.f64 1 (+.f64 (.f64 (pow.f64 x 2) -4) -1)) -1)
(/.f64 (*.f64 (pow.f64 x 2) -4) 1)
(/.f64 (*.f64 (pow.f64 x 2) 4) -1)
(/.f64 (*.f64 (pow.f64 x 2) -8) 2)
(/.f64 (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 4)) -2)
(/.f64 (-.f64 (.f64 (pow.f64 x 2) -4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (+.f64 1 (.f64 (pow.f64 x 2) 4)))
(pow.f64 (*.f64 (pow.f64 x 2) -4) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 4))
(if (!=.f64 -1 0) (.f64 (pow.f64 x 2) -4) (.f64 (pow.f64 x 2) -4))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) 0) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) 16) -4)) (+.f64 (.f64 (pow.f64 x 2) -4) 1)) (*.f64 (pow.f64 x 2) -4))
(if (!=.f64 1 0) (.f64 (pow.f64 x 2) -4) (.f64 (pow.f64 x 2) -4))
(if (!=.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) 0) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) 16) -4)) (+.f64 (.f64 (pow.f64 x 2) -4) 1)) (*.f64 (pow.f64 x 2) -4))
(if (!=.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (+.f64 2 (.f64 (pow.f64 x 2) -4))) (.f64 (pow.f64 x 2) -4))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (+.f64 2 (.f64 (pow.f64 x 2) -4))) (.f64 (pow.f64 x 2) -4))
(-.f64 (*.f64 (pow.f64 x 2) -4) -1)
(-.f64 1 (*.f64 (pow.f64 x 2) 4))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -4) 1) 0)
(-.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -4)) 1)
(-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 2) -4)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 2) -4) 1))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) 1)
(.f64 -1 (-.f64 -1 (.f64 (pow.f64 x 2) -4)))
(.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) -1)
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) -4) 1) 1)
(/.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) -4)) -1)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) 16) -4)) (*.f64 (pow.f64 x 2) -4))
(/.f64 (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))) (*.f64 (pow.f64 x 2) 4))
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -8)) 2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))) (.f64 (pow.f64 x 2) -8))
(/.f64 (neg.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -8))) -2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) 16) -4))) (.f64 (pow.f64 x 2) (.f64 (.f64 (pow.f64 x 2) -4) (*.f64 (pow.f64 x 2) 16))))
(/.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) 16))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))) (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 4)))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))) (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8)))) (+.f64 (.f64 (pow.f64 x 2) -8) (.f64 (pow.f64 x 2) -8)))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))) (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))))) (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)))))
(/.f64 (+.f64 (+.f64 2 (.f64 (pow.f64 x 2) -8)) (+.f64 2 (.f64 (pow.f64 x 2) -8))) 4)
(/.f64 (-.f64 (neg.f64 (+.f64 2 (.f64 (pow.f64 x 2) -8))) (+.f64 2 (.f64 (pow.f64 x 2) -8))) -4)
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))) (.f64 (pow.f64 x 2) -8)) (.f64 (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))) (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))))) (.f64 (.f64 (pow.f64 x 2) -8) (-.f64 (.f64 (pow.f64 x 2) -8) (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))))) (.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) 16) -4))) (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) 16) -4))))) (.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) 16)))))
(/.f64 (-.f64 (.f64 -2 (neg.f64 (+.f64 2 (.f64 (pow.f64 x 2) -8)))) (.f64 (neg.f64 (+.f64 2 (.f64 (pow.f64 x 2) -8))) (neg.f64 (+.f64 2 (.f64 (pow.f64 x 2) -8))))) (-.f64 4 (.f64 -2 (neg.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -8))))))
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))) (+.f64 (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))))) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 4)) (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 4))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))) (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8)))) (+.f64 (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))) (.f64 (.f64 (pow.f64 x 2) -4) (+.f64 2 (.f64 (pow.f64 x 2) -8))))) (+.f64 (+.f64 (.f64 (pow.f64 x 2) -8) (.f64 (pow.f64 x 2) -8)) (+.f64 (.f64 (pow.f64 x 2) -8) (.f64 (pow.f64 x 2) -8))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))) (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16))))) (+.f64 (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))) (.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) (-.f64 4 (.f64 (pow.f64 x 2) 16)))))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)))) (+.f64 (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))))))
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(pow.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -4)) 1)
(neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) -2))
(if (!=.f64 -1 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (.f64 (pow.f64 x 2) -4) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
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(if (!=.f64 (+.f64 2 (.f64 (pow.f64 x 2) 4)) 0) (/.f64 (-.f64 4 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (+.f64 2 (.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
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(if (!=.f64 1 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(if (!=.f64 2 0) (/.f64 (+.f64 4 (.f64 (pow.f64 x 2) -8)) 2) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) 0) (/.f64 (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) -4) -2) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) -4) (+.f64 (.f64 (pow.f64 x 2) -4) -2)) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(if (!=.f64 -2 0) (/.f64 (+.f64 4 (.f64 (pow.f64 x 2) -8)) 2) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (+.f64 (.f64 (pow.f64 x 2) 4) -2))) 0) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))

Outputs
(*.f64 -4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
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(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) (-.f64 -1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (-.f64 -1 (.f64 (pow.f64 x 2) -4))) (+.f64 (.f64 (pow.f64 x 2) 4) -2)))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (-.f64 -1 (.f64 (pow.f64 x 2) -4))) (+.f64 (.f64 (pow.f64 x 2) 4) -2))) (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (-.f64 -1 (.f64 (pow.f64 x 2) -4))) (+.f64 (.f64 (pow.f64 x 2) 4) -2))))) (-.f64 (.f64 (.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) (-.f64 -1 (.f64 (pow.f64 x 2) -4))) (.f64 (.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) (-.f64 -1 (.f64 (pow.f64 x 2) -4))) (.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) (-.f64 -1 (.f64 (pow.f64 x 2) -4))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) (-.f64 -1 (.f64 (pow.f64 x 2) -4)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) (-.f64 -1 (.f64 (pow.f64 x 2) -4))) (+.f64 (.f64 (pow.f64 x 2) 4) -2))))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))))) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))))))) (-.f64 (.f64 (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))) (.f64 (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))))) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2)))))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))))) (.f64 (.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2)))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))) (.f64 (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2)))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))))) (+.f64 (.f64 (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))) (.f64 (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2)))))) (.f64 (.f64 (.f64 (+.f64 1 (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2)))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (.f64 (-.f64 -1 (.f64 -4 (pow.f64 x 2))) (-.f64 -1 (.f64 -4 (pow.f64 x 2))))))))
(pow.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -4)) 1)
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) -2))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(if (!=.f64 -1 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(if (!=.f64 (.f64 (pow.f64 x 2) -4) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (.f64 -4 (pow.f64 x 2)) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2))))
(if (!=.f64 (.f64 -4 (pow.f64 x 2)) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 -2 (.f64 -4 (pow.f64 x 2)))) (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) -4) 1) 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(if (!=.f64 (+.f64 2 (.f64 (pow.f64 x 2) 4)) 0) (/.f64 (-.f64 4 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (+.f64 2 (.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (+.f64 2 (.f64 (pow.f64 x 2) 4)) 0) (/.f64 (-.f64 4 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (+.f64 2 (.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 -4 (pow.f64 x 2))))
(if (!=.f64 (.f64 (pow.f64 x 2) 4) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (.f64 (pow.f64 x 2) 4) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (pow.f64 x 2) 4) -2)) (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2))))
(if (!=.f64 (.f64 (pow.f64 x 2) 4) 0) (/.f64 (.f64 (.f64 (pow.f64 x 2) 4) (-.f64 -2 (.f64 -4 (pow.f64 x 2)))) (.f64 -4 (pow.f64 x 2))) (+.f64 2 (.f64 -4 (pow.f64 x 2))))
(if (!=.f64 1 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(if (!=.f64 (-.f64 -1 (.f64 (pow.f64 x 2) -4)) 0) (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(if (!=.f64 2 0) (/.f64 (+.f64 4 (.f64 (pow.f64 x 2) -8)) 2) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 2 0) (/.f64 (+.f64 4 (.f64 (pow.f64 x 2) -8)) 2) (+.f64 2 (.f64 -4 (pow.f64 x 2))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) 4) -2) 0) (/.f64 (.f64 (+.f64 2 (.f64 (pow.f64 x 2) -4)) (+.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 2 (.f64 (pow.f64 x 2) -4))) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 2) -4) -2) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16)) -4) (+.f64 (.f64 (pow.f64 x 2) -4) -2)) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(if (!=.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) -2) 0) (/.f64 (+.f64 -4 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (+.f64 (.f64 -4 (pow.f64 x 2)) -2)) (+.f64 2 (*.f64 -4 (pow.f64 x 2))))
(if (!=.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) -2) 0) (/.f64 (-.f64 4 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 16))) (+.f64 2 (.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 -4 (pow.f64 x 2))))
(if (!=.f64 -2 0) (/.f64 (+.f64 4 (.f64 (pow.f64 x 2) -8)) 2) (+.f64 2 (.f64 (pow.f64 x 2) -4)))
(if (!=.f64 -2 0) (/.f64 (+.f64 4 (.f64 (pow.f64 x 2) -8)) 2) (+.f64 2 (.f64 -4 (pow.f64 x 2))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (+.f64 (.f64 (pow.f64 x 2) 4) -2))) 0) (+.f64 2 (*.f64 (pow.f64 x 2) -4)))
(+.f64 2 (*.f64 -4 (pow.f64 x 2)))

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 x 2) -2)
✓	0.0b	(*.f64 (pow.f64 x 6) -4/45)
✓	0.1b	(*.f64 2/3 (pow.f64 x 4))
✓	28.3b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))

Compiler

Compiled 76 to 62 computations (18.4% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 x 6) -4/45)
0.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 4))
0.0ms	x	@	inf	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
0.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 6) -4/45)

rewrite106.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational_best-simplify-53`
778×	`rational_best-simplify-1`
698×	`rational_best-simplify-52`
532×	`rational_best-simplify-55`
496×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
1	41	94
2	149	94
3	851	94
4	5305	94

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

Outputs
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6) -4/45)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (pow.f64 x 6) -4/45)) (-.f64 (.f64 (pow.f64 x 4) -2/3) (.f64 (pow.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (pow.f64 x 2) -2)) (-.f64 (.f64 (pow.f64 x 4) -2/3) (.f64 (pow.f64 x 6) -4/45)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 4/45)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (.f64 (pow.f64 x 4) -2/3) (+.f64 -1 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 4/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 2) 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simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

684×	`rational_best-simplify-124`
630×	`rational_best-simplify-65`
598×	`rational_best-simplify-61`
522×	`rational_best-simplify-96`
508×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	7381
1	1633	7315

Stop Event

1×	node limit

Counts

133 → 146

Calls

Call 1

Inputs
1
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(*.f64 -4/45 (pow.f64 x 6))
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(+.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 1 (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -4/45 (pow.f64 x 6))
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(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -4/45 (pow.f64 x 6))
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(-.f64 (*.f64 2/3 (pow.f64 x 4)) 0)
(-.f64 0 (*.f64 (pow.f64 x 4) -2/3))
(/.f64 (*.f64 2/3 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) -2/3) -1)
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -2/3) (.f64 (pow.f64 x 4) -2/3)) -2)
(/.f64 (-.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 1 (*.f64 (pow.f64 x 4) -2/3)))
(pow.f64 (*.f64 2/3 (pow.f64 x 4)) 1)
(neg.f64 (*.f64 (pow.f64 x 4) -2/3))
(if (!=.f64 -1 0) (.f64 2/3 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 4)))
(if (!=.f64 (.f64 (pow.f64 x 4) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4)))
(if (!=.f64 (.f64 2/3 (pow.f64 x 4)) 0) (/.f64 (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4)))
(if (!=.f64 (.f64 2/3 (pow.f64 x 4)) 0) (/.f64 (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4))) (*.f64 2/3 (pow.f64 x 4))) 0)
(if (!=.f64 0 0) (/.f64 0 0) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 6) -4/45) 0)
(+.f64 0 (*.f64 (pow.f64 x 6) -4/45))
(-.f64 (*.f64 (pow.f64 x 6) -4/45) 0)
(-.f64 0 (*.f64 (pow.f64 x 6) 4/45))
(/.f64 (*.f64 (pow.f64 x 6) -4/45) 1)
(/.f64 (*.f64 (pow.f64 x 6) 4/45) -1)
(pow.f64 (*.f64 (pow.f64 x 6) -4/45) 1)
(neg.f64 (*.f64 (pow.f64 x 6) 4/45))
(+.f64 (*.f64 (pow.f64 x 2) -2) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) -2))
(-.f64 (*.f64 (pow.f64 x 2) -2) 0)
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) -2) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (pow.f64 x 2))) -2)
(/.f64 (-.f64 (.f64 (pow.f64 x 2) -2) (.f64 2 (.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)))) (-.f64 1 (*.f64 (pow.f64 x 2) -2)))
(pow.f64 (*.f64 (pow.f64 x 2) -2) 1)
(neg.f64 (*.f64 2 (pow.f64 x 2)))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) -2))) (.f64 2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -2))
(if (!=.f64 -1 0) (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 2) -2))
(if (!=.f64 (.f64 (pow.f64 x 2) -2) 0) (/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) -2))) (.f64 2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -2))
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(if (!=.f64 0 0) (/.f64 0 0) (*.f64 (pow.f64 x 2) -2))

Outputs
1
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(*.f64 -4/45 (pow.f64 x 6))
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(if (!=.f64 (-.f64 -1 (.f64 2/3 (pow.f64 x 4))) 0) (/.f64 (+.f64 (.f64 (-.f64 -1 (.f64 2/3 (pow.f64 x 4))) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -4/45 (pow.f64 x 6))) (+.f64 1 (.f64 2/3 (pow.f64 x 4))))) (+.f64 1 (.f64 2/3 (pow.f64 x 4)))) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -4/45 (pow.f64 x 6))))))
(if (!=.f64 (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4))))) (.f64 (.f64 2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))))) (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4))))) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)))))
(if (!=.f64 (-.f64 (.f64 -4/45 (pow.f64 x 6)) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 -4/45 (pow.f64 x 6)) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (-.f64 (.f64 -4/45 (pow.f64 x 6)) (-.f64 -1 (.f64 2/3 (pow.f64 x 4))))) (.f64 (.f64 2 (pow.f64 x 2)) (-.f64 (.f64 -4/45 (pow.f64 x 6)) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))))) (-.f64 (.f64 -4/45 (pow.f64 x 6)) (-.f64 -1 (.f64 2/3 (pow.f64 x 4))))) (+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 -4/45 (pow.f64 x 6))))))
(if (!=.f64 (+.f64 (.f64 -4/45 (pow.f64 x 6)) (+.f64 1 (.f64 2/3 (pow.f64 x 4)))) 0) (/.f64 (.f64 (+.f64 (.f64 -4/45 (pow.f64 x 6)) (+.f64 1 (.f64 2/3 (pow.f64 x 4)))) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -4/45 (pow.f64 x 6)) (+.f64 1 (.f64 2/3 (pow.f64 x 4)))))) (+.f64 (.f64 -4/45 (pow.f64 x 6)) (+.f64 1 (.f64 2/3 (pow.f64 x 4))))) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6))))))
(if (!=.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 2) -2))) 0) (/.f64 (-.f64 (.f64 (+.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 1 (.f64 (pow.f64 x 2) -2)))) (.f64 (.f64 (pow.f64 x 6) 4/45) (+.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 1 (.f64 (pow.f64 x 2) -2)))) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)))))
(+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.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)))))
(if (!=.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.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 (pow.f64 x 2) -2))) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)))))
(+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.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)))))
(if (!=.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -4/45)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -4/45)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -4/45))) (.f64 (+.f64 -1 (.f64 2 (pow.f64 x 2))) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -4/45)))) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -4/45))) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)))))
(+.f64 1 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.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 (*.f64 2/3 (pow.f64 x 4)) 0)
(*.f64 2/3 (pow.f64 x 4))
(+.f64 0 (*.f64 2/3 (pow.f64 x 4)))
(*.f64 2/3 (pow.f64 x 4))
(-.f64 (*.f64 2/3 (pow.f64 x 4)) 0)
(*.f64 2/3 (pow.f64 x 4))
(-.f64 0 (*.f64 (pow.f64 x 4) -2/3))
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (*.f64 2/3 (pow.f64 x 4)) 1)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -2/3) -1)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -2/3) (.f64 (pow.f64 x 4) -2/3)) -2)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (-.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 1 (*.f64 (pow.f64 x 4) -2/3)))
(*.f64 2/3 (pow.f64 x 4))
(pow.f64 (*.f64 2/3 (pow.f64 x 4)) 1)
(*.f64 2/3 (pow.f64 x 4))
(neg.f64 (*.f64 (pow.f64 x 4) -2/3))
(*.f64 2/3 (pow.f64 x 4))
(if (!=.f64 -1 0) (.f64 2/3 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 4)))
(*.f64 2/3 (pow.f64 x 4))
(if (!=.f64 (.f64 (pow.f64 x 4) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4)))
(*.f64 2/3 (pow.f64 x 4))
(if (!=.f64 (.f64 2/3 (pow.f64 x 4)) 0) (/.f64 (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4))) (.f64 2/3 (pow.f64 x 4)))
(*.f64 2/3 (pow.f64 x 4))
(if (!=.f64 (.f64 2/3 (pow.f64 x 4)) 0) (/.f64 (.f64 2/3 (.f64 (.f64 2/3 (pow.f64 x 4)) (pow.f64 x 4))) (*.f64 2/3 (pow.f64 x 4))) 0)
(*.f64 2/3 (pow.f64 x 4))
(if (!=.f64 0 0) (/.f64 0 0) (*.f64 2/3 (pow.f64 x 4)))
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (*.f64 (pow.f64 x 6) -4/45) 0)
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 0 (*.f64 (pow.f64 x 6) -4/45))
(*.f64 -4/45 (pow.f64 x 6))
(-.f64 (*.f64 (pow.f64 x 6) -4/45) 0)
(*.f64 -4/45 (pow.f64 x 6))
(-.f64 0 (*.f64 (pow.f64 x 6) 4/45))
(*.f64 -4/45 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) -4/45) 1)
(/.f64 (*.f64 -4/45 (pow.f64 x 6)) 1)
(/.f64 (*.f64 (pow.f64 x 6) 4/45) -1)
(*.f64 -4/45 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 6) -4/45) 1)
(*.f64 -4/45 (pow.f64 x 6))
(neg.f64 (*.f64 (pow.f64 x 6) 4/45))
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 (*.f64 (pow.f64 x 2) -2) 0)
(*.f64 -2 (pow.f64 x 2))
(+.f64 0 (*.f64 (pow.f64 x 2) -2))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) -2) 0)
(*.f64 -2 (pow.f64 x 2))
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 1)
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(*.f64 -2 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (pow.f64 x 2))) -2)
(*.f64 -2 (pow.f64 x 2))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) -2) (.f64 2 (.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)))) (-.f64 1 (*.f64 (pow.f64 x 2) -2)))
(*.f64 -2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 2) -2) 1)
(*.f64 -2 (pow.f64 x 2))
(neg.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) -2))) (.f64 2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -2))
(*.f64 -2 (pow.f64 x 2))
(if (!=.f64 -1 0) (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 2) -2))
(*.f64 -2 (pow.f64 x 2))
(if (!=.f64 (.f64 (pow.f64 x 2) -2) 0) (/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) -2))) (.f64 2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -2))
(*.f64 -2 (pow.f64 x 2))
(if (!=.f64 (.f64 (pow.f64 x 2) -2) 0) (/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) -2))) (*.f64 2 (pow.f64 x 2))) 0)
(*.f64 -2 (pow.f64 x 2))
(if (!=.f64 0 0) (/.f64 0 0) (*.f64 (pow.f64 x 2) -2))
(*.f64 -2 (pow.f64 x 2))

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.2b	(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
✓	15.4b	(/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))

Compiler

Compiled 105 to 31 computations (70.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best-simplify-113`
594×	`rational_best-simplify-111`
522×	`rational_best-simplify-96`
512×	`rational_best-simplify-117`
512×	`rational_best-simplify-124`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	39	65
2	227	61
3	1506	21

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-96`
984×	`rational_best-simplify-65`
972×	`rational_best-simplify-61`
594×	`rational_best-simplify-3`
404×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1117
1	504	1063
2	3153	1051

Stop Event

1×	node limit

Counts

45 → 47

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

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

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
✓	0.2b	(pow.f64 (cos.f64 x) 2)
✓	0.3b	(pow.f64 (sin.f64 x) 2)
✓	15.9b	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))

Compiler

Compiled 113 to 44 computations (61.1% saved)

series6.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
1.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
0.0ms	x	@	inf	(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
0.0ms	x	@	-inf	(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational_best-simplify-96`
1108×	`rational_best-simplify-61`
1086×	`rational_best-simplify-65`
796×	`rational_best-simplify-3`
650×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	122
1	76	122
2	460	122
3	3203	122

Stop Event

1×	node limit

Counts

4 → 17

Calls

Call 1

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

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

728×	`rational_best-simplify-65`
724×	`rational_best-simplify-96`
710×	`rational_best-simplify-61`
700×	`rational_best-simplify-117`
446×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1015
1	396	1003
2	2285	979

Stop Event

1×	node limit

Counts

41 → 65

Calls

Call 1

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

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

eval480.0ms (6.4%)

Compiler: Compiled 31548 to 22200 computations (29.6% saved)

prune172.0ms (2.3%)

Pruning

52 alts after pruning (41 fresh and 11 done)

	Pruned	Kept	Total
New	689	7	696
Fresh	4	34	38
Picked	0	1	1
Done	1	10	11
Total	694	52	746

Error

0.0b

Counts

746 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	62.7b	(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (pow.f64 x 2)) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (.f64 1 (tan.f64 x)) 1)) (-.f64 (.f64 (.f64 1 (tan.f64 x)) 1) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
✓	16.8b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	16.7b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	16.9b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.9b	(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	16.8b	(/.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (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))))
	16.2b	(/.f64 (/.f64 (.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.2b	(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (/.f64 (-.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	16.2b	(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.4b	(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	35.0b	(/.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))
	0.5b	(/.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))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
✓	0.4b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	34.5b	(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) -1)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (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)) 1)))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (.f64 1 (/.f64 (.f64 (tan.f64 x) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	34.1b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (/.f64 (.f64 (-.f64 1 (fabs.f64 (tan.f64 x))) (-.f64 1 (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 1 (fabs.f64 (tan.f64 x)))))) (.f64 (/.f64 1 (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 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (/.f64 (.f64 (-.f64 -1 (neg.f64 (tan.f64 x))) (-.f64 -1 (neg.f64 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)))) (.f64 (/.f64 1 (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 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
	34.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
	28.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	35.0b	(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
	0.4b	(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	16.0b	(/.f64 (.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (/.f64 -1 (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	15.9b	(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	34.5b	(/.f64 (.f64 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (.f64 1 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	31.6b	(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
	31.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	35.1b	(-.f64 (-.f64 (.f64 (pow.f64 x 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (*.f64 2 (pow.f64 x 2)))
	35.2b	(-.f64 (.f64 2/3 (pow.f64 x 4)) (-.f64 -1 (.f64 -2 (pow.f64 x 2))))
✓	35.0b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	63.0b	(*.f64 -4/45 (pow.f64 x 6))
✓	62.7b	(*.f64 -2 (pow.f64 x 2))
	31.9b	1

Compiler

Compiled 1558 to 844 computations (45.8% saved)

regimes157.0ms (2.1%)

Counts

78 → 1

Calls

Call 1

Inputs
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.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 -2 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2))) 1)
(/.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 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.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 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (.f64 x -1/3)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
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(/.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (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))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (.f64 2 (tan.f64 x))) (/.f64 -2 (.f64 2 (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 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.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 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (pow.f64 x 2)) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (neg.f64 (/.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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (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)) 1)))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 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))) (if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) -1)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1) 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 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
(/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (/.f64 (-.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (if (!=.f64 (-.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.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 (tan.f64 x) (tan.f64 x)))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (.f64 1 (tan.f64 x)) 1)) (-.f64 (.f64 (.f64 1 (tan.f64 x)) 1) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.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)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (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) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 1 (fabs.f64 (tan.f64 x))))))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 1 (fabs.f64 (tan.f64 x))))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (/.f64 (.f64 (-.f64 -1 (neg.f64 (tan.f64 x))) (-.f64 -1 (neg.f64 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (/.f64 (.f64 (-.f64 -1 (neg.f64 (tan.f64 x))) (-.f64 -1 (neg.f64 (tan.f64 x)))) (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)) (.f64 (tan.f64 x) (+.f64 (tan.f64 x) -1)))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))))))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (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 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (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 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)) (-.f64 (/.f64 (.f64 (-.f64 1 (fabs.f64 (tan.f64 x))) (-.f64 1 (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 1 (fabs.f64 (tan.f64 x)))))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x)))) (.f64 (.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))) (-.f64 (/.f64 (.f64 (-.f64 1 (fabs.f64 (tan.f64 x))) (-.f64 1 (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 1 (fabs.f64 (tan.f64 x)))))) (.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 1 (fabs.f64 (tan.f64 x))))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))) (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 (.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))))) (.f64 (.f64 (tan.f64 x) (-.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)))) (-.f64 (.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (/.f64 (.f64 (tan.f64 x) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs

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

Calls

4 calls:

34.0ms	(tan.f64 x)
32.0ms	x
28.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
21.0ms	(*.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 2930 to 1251 computations (57.3% saved)

regimes129.0ms (1.7%)

Counts

68 → 1

Calls

Call 1

Inputs
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.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 -2 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2))) 1)
(/.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 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.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 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (.f64 x -1/3)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (.f64 1 (/.f64 (.f64 (tan.f64 x) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x)) (/.f64 -1 (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (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))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (.f64 2 (tan.f64 x))) (/.f64 -2 (.f64 2 (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 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.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 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (-.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (sin.f64 x)) (cos.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (pow.f64 x 2)) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (neg.f64 (/.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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (if (!=.f64 (.f64 (tan.f64 x) (tan.f64 x)) 0) (/.f64 (.f64 (tan.f64 x) (.f64 (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)) 1)))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 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))) (if (!=.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) -1)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.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)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1) 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 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) 1))))))
(/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1)) (.f64 (.f64 (tan.f64 x) 1) (.f64 (tan.f64 x) 1))) (-.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) 1))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (/.f64 (-.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (tan.f64 x))) (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (+.f64 1 (if (!=.f64 (-.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.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 (tan.f64 x) (tan.f64 x)))))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 0) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (.f64 1 (tan.f64 x)) 1)) (-.f64 (.f64 (.f64 1 (tan.f64 x)) 1) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.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)) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (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) (neg.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 (-.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) (-.f64 (/.f64 1 (pow.f64 (fabs.f64 (tan.f64 x)) 2)) 1))))

Calls

4 calls:

28.0ms	x
28.0ms	(tan.f64 x)
24.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
18.0ms	(*.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 1976 to 874 computations (55.8% saved)

regimes66.0ms (0.9%)

Counts

31 → 1

Calls

Call 1

Inputs
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.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 -2 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2))) 1)
(/.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 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.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 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (.f64 x -1/3)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 1 (+.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (+.f64 (tan.f64 x) (/.f64 0 (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 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

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

Calls

4 calls:

18.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
15.0ms	(tan.f64 x)
14.0ms	x
9.0ms	(*.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 537 to 331 computations (38.4% saved)

regimes33.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.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 -2 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2))) 1)
(/.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 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.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 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (.f64 x -1/3)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/3)))))

Calls

3 calls:

11.0ms	(tan.f64 x)
9.0ms	x
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
28.5b	1	`(tan.f64 x)`

Compiler

Compiled 294 to 208 computations (29.3% saved)

regimes31.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -4/45 (pow.f64 x 6))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -4))) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.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 -2 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) 1) (/.f64 1 (tan.f64 x)))))
(if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (if (!=.f64 (.f64 2 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 2 (.f64 (pow.f64 x 2) -4))) (*.f64 -2 (pow.f64 x 2))) 1)
(/.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 (neg.f64 x) (/.f64 -1 (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))))
(/.f64 (-.f64 1 (/.f64 (.f64 (tan.f64 x) 1) (/.f64 1 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.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 6) -4/45) (-.f64 -1 (.f64 2/3 (pow.f64 x 4)))) (*.f64 2 (pow.f64 x 2)))

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

Calls

3 calls:

10.0ms	x
9.0ms	(tan.f64 x)
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
31.6b	1	`x`
31.6b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
31.6b	1	`(tan.f64 x)`

Compiler

Compiled 250 to 182 computations (27.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -31.3b remaining (-98.2%)

Threshold costs -31.3b (-98.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
31.9b	1	`x`

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	404

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 134 to 84 computations (37.3% saved)

soundness0.0ms (0%)

end53.0ms (0.7%)

Compiler: Compiled 129 to 70 computations (45.7% saved)