Details

analyze181.0ms (2.1%)

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 (16%)

Results

602.0ms	2100×	body	1024	valid
554.0ms	5110×	body	256	valid
206.0ms	1040×	body	512	valid
2.0ms	6×	body	2048	valid

Bogosity

preprocess96.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 8 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 13 computations (66.7% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	104
1	80	104
2	212	104
3	532	104
4	1795	104
5	5545	104

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1076×	`rational.json-simplify-35`
1002×	`rational.json-simplify-61`
840×	`rational.json-simplify-49`
682×	`rational.json-simplify-46`
658×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	394	5819
1	1271	5801
2	6316	5801

Stop Event

1×	node limit

Counts

229 → 235

Calls

Call 1

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

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 17/45 (pow.f64 x 6)) (.f64 2/3 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 17/45 (pow.f64 x 6)) (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 2) -2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (.f64 (pow.f64 x 6) -4/45)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (.f64 (pow.f64 x 4) -2/3)))
(+.f64 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 (.f64 (pow.f64 x 4) -2/3) (+.f64 (.f64 (pow.f64 x 2) -1) (+.f64 (*.f64 (pow.f64 x 6) -17/45) 1)))
(+.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 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) -17/45) (.f64 (pow.f64 x 4) -2/3))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 1 (.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 17/45 (pow.f64 x 6)) 1)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (tan.f64 x) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 4))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 2 (/.f64 (.f64 (tan.f64 x) 2) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
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eval103.0ms (1.2%)

Compiler: Compiled 9850 to 3947 computations (59.9% saved)

prune81.0ms (0.9%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	334	24	358
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	334	25	359

Error

0.1b

Counts

359 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.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))))
	13.9b	(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	14.0b	(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (tan.f64 x)) (.f64 (tan.f64 x) 2))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	13.1b	(/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (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 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	13.2b	(/.f64 (-.f64 1 (/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 4 (/.f64 (.f64 (tan.f64 x) 4) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	32.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.5b	(/.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))
	13.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))))
	13.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	14.0b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (+.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	33.4b	(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (.f64 (pow.f64 x 6) -4/45)) (*.f64 2/3 (pow.f64 x 4))))
	33.4b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
▶	33.1b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
▶	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	30.2b	1

Compiler

Compiled 1112 to 624 computations (43.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	5.5b	(/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))) (tan.f64 x))
✓	12.4b	(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))

Compiler

Compiled 102 to 16 computations (84.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite117.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`rational.json-1`
1398×	`rational.json-2`
1398×	`rational.json-4`
1398×	`rational.json-3`
1396×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	125
1	70	125
2	220	45
3	821	45
4	4254	45

Stop Event

1×	node limit

Counts

3 → 306

Calls

Call 1

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

Inputs

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

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

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

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

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

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1480×	`rational.json-simplify-49`
1346×	`rational.json-simplify-46`
1080×	`rational.json-simplify-43`
1060×	`rational.json-simplify-35`
668×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	9576
1	1570	8666

Stop Event

1×	node limit

Counts

342 → 395

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 3)
(+.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (+.f64 (.f64 88/189 (pow.f64 x 9)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(+.f64 (tan.f64 x) 0)
(+.f64 (tan.f64 x) (/.f64 0 (tan.f64 x)))
(+.f64 0 (tan.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (tan.f64 x))))
(+.f64 (.f64 (tan.f64 x) 1/2) (.f64 (tan.f64 x) 1/2))
(+.f64 (/.f64 0 (tan.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(-.f64 0 (neg.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) 1)
(.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))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) (/.f64 1/2 (tan.f64 x)))
(.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (.f64 (/.f64 1 (tan.f64 x)) 1/2))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 2 (.f64 (tan.f64 x) 1/2))
(.f64 (.f64 (tan.f64 x) 4) 1/4)
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 4)) (/.f64 1 (.f64 (tan.f64 x) 4)))
(*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) -1)
(.f64 (neg.f64 (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) 2) (neg.f64 (*.f64 (tan.f64 x) 2))))
(.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 -1 (neg.f64 (tan.f64 x)))
(.f64 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 1/2)))
(*.f64 (/.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))))
(*.f64 4 (/.f64 (tan.f64 x) 4))
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Outputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
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(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 4)))) (/.f64 1 (tan.f64 x))) (.f64 2 (.f64 (tan.f64 x) 4)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (tan.f64 x) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x))) (.f64 2 (neg.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)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2)) (/.f64 1 (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 (tan.f64 x) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2))) (/.f64 1 (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) 2)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) 1/2)) (/.f64 1 (tan.f64 x))) (.f64 (tan.f64 x) 1/2))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))) (.f64 2 (fabs.f64 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (/.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 2 (tan.f64 x))) (fabs.f64 (tan.f64 x))) (*.f64 2 (fabs.f64 (tan.f64 x))))
(/.f64 (/.f64 (fabs.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) 4)))) (/.f64 1 (tan.f64 x))) (fabs.f64 (.f64 (tan.f64 x) 4)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) 1)
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (.f64 (tan.f64 x) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite263.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify270.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 11 (0.0ms)

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

Stop Event

1×	node limit

Counts

41 → 44

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 20 computations (60.8% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	101
1	96	95
2	222	95
3	507	95
4	1648	95
5	5083	95

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-51`
930×	`rational.json-simplify-2`
828×	`rational.json-simplify-41`
826×	`rational.json-simplify-35`
760×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	173	3964
1	445	3948
2	1274	3948
3	3792	3948
4	6919	3948

Stop Event

1×	node limit

Counts

100 → 108

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 25 computations (60.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational.json-1`
1400×	`rational.json-2`
1400×	`rational.json-3`
1398×	`rational.json-4`
1388×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	125
1	105	83
2	301	83
3	1316	83
4	4611	83

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-49`
916×	`rational.json-simplify-43`
884×	`rational.json-simplify-47`
884×	`rational.json-simplify-44`
720×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2918
1	348	2918
2	977	2918
3	6667	2906

Stop Event

1×	node limit

Counts

104 → 89

Calls

Call 1

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	5.7b	(/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))
✓	12.4b	(/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 108 to 31 computations (71.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite114.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`exponential.json-3`
1730×	`rational.json-1`
1730×	`rational.json-2`
1730×	`rational.json-4`
1730×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	117
1	104	117
2	407	57
3	2230	57
4	5653	57

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2130×	`rational.json-simplify-35`
1184×	`rational.json-simplify-51`
1174×	`rational.json-simplify-2`
1048×	`rational.json-simplify-19`
664×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	4418
1	664	4292
2	1978	4156
3	4839	4124

Stop Event

1×	node limit

Counts

150 → 207

Calls

Call 1

Inputs
(/.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))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 4/15 x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/945 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 4/15 x))) (/.f64 1 x))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(+.f64 0 (/.f64 1 (tan.f64 x)))
(-.f64 (/.f64 1 (tan.f64 x)) 0)
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 1 (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 1))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 (tan.f64 x) 2) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 1/2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 2 (tan.f64 x)) 1/2)
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) 2)) (tan.f64 x)))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (.f64 1/2 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) 1))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 1/2 (/.f64 2 (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) 2))
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (.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 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (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) 2) (/.f64 (tan.f64 x) 2))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 1 (/.f64 2 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) 2) (*.f64 1/2 (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) 2) (*.f64 (/.f64 (tan.f64 x) 2) 1))
(.f64 (.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) 1))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 (tan.f64 x) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 2 (tan.f64 x)) (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) 1))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) 2)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 1/2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (.f64 (/.f64 1 (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(.f64 1/2 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (tan.f64 x)))
(.f64 (/.f64 (tan.f64 x) 2) (.f64 (tan.f64 x) 2))
(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) 2)))
(.f64 (.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (/.f64 2 (tan.f64 x)))))
(.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (.f64 (tan.f64 x) 2))
(.f64 (fabs.f64 (/.f64 2 (tan.f64 x))) (fabs.f64 (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (neg.f64 (.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.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 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 1 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 (.f64 (tan.f64 x) 2) (.f64 1/2 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2)
(.f64 (/.f64 2 (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 1))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 1/2 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) 2)) (/.f64 1 (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))
(.f64 1/2 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (/.f64 2 (tan.f64 x)))
(pow.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 1)

Outputs
(/.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 x -1/3) (+.f64 (/.f64 1 x) (.f64 -1/45 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x -1/3)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/3) (.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 -1/45 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/3)) (*.f64 -2/945 (pow.f64 x 5))))
(+.f64 (.f64 x -1/3) (+.f64 (+.f64 (/.f64 1 x) (.f64 -1/45 (pow.f64 x 3))) (*.f64 -2/945 (pow.f64 x 5))))
(+.f64 (.f64 x -1/3) (+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 x -1/3) (*.f64 -1/45 (pow.f64 x 3)))))
(/.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))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 62/315 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 4/15 x)) (/.f64 1 x))
(+.f64 (*.f64 x 4/15) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (*.f64 x 4/15) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/945 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 4/15 x))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 x 4/15)) (-.f64 (.f64 (pow.f64 x 3) 1/945) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 x 4/15) (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/945)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 x 4/15) (-.f64 (.f64 (pow.f64 x 3) 1/945) (/.f64 1 x))))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(+.f64 0 (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(-.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))))
(.f64 (tan.f64 x) (.f64 2 (/.f64 1 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x))))))
(.f64 2 (.f64 (tan.f64 x) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x))))
(.f64 (.f64 2 (tan.f64 x)) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 1))
(.f64 (tan.f64 x) (.f64 2 (/.f64 1 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x))))))
(.f64 2 (.f64 (tan.f64 x) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x))))
(.f64 (.f64 2 (tan.f64 x)) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)))
(.f64 (.f64 (tan.f64 x) 2) (.f64 (/.f64 (tan.f64 x) 2) (/.f64 1 (.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 (.f64 (tan.f64 x) 2) (.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (/.f64 1 (.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 (.f64 (tan.f64 x) 2) (.f64 1/2 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 2 (tan.f64 x)) 1/2))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 1/2 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 2 (tan.f64 x)) 1/2)
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) 2)) (tan.f64 x)))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 1 (*.f64 2 (tan.f64 x)))))
(.f64 (tan.f64 x) (.f64 (/.f64 1/2 (tan.f64 x)) (/.f64 2 (tan.f64 x))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 1/2 (tan.f64 x))))
(.f64 (tan.f64 x) (.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (tan.f64 x))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x)))) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 2 (tan.f64 x))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)) (/.f64 2 (tan.f64 x))))
(.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)) (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 2 (tan.f64 x))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 2 (tan.f64 x)) (/.f64 (.f64 (tan.f64 x) (/.f64 (tan.f64 x) 2)) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 2 (tan.f64 x)) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) 2)))))
(.f64 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)) (.f64 1/2 (/.f64 1 (.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 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.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 (/.f64 1 (.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 (tan.f64 x) (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (tan.f64 x)))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) 1))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1/2 (/.f64 2 (tan.f64 x)))
(*.f64 (/.f64 2 (tan.f64 x)) 1/2)
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) (.f64 (tan.f64 x) 2))
(.f64 (tan.f64 x) (.f64 2 (/.f64 1 (.f64 (tan.f64 x) (.f64 2 (tan.f64 x))))))
(.f64 2 (.f64 (tan.f64 x) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x))))
(.f64 (.f64 2 (tan.f64 x)) (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)))
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(/.f64 1 (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 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (.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) (tan.f64 x))
(.f64 (.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 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (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) (tan.f64 x))
(.f64 (.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
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(.f64 (/.f64 2 (tan.f64 x)) (.f64 (/.f64 1 (*.f64 (tan.f64 x) 2)) (/.f64 1 (tan.f64 x))))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))) (/.f64 2 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)) (/.f64 2 (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (fabs.f64 (tan.f64 x)) (.f64 (.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (tan.f64 x))) (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.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))))) (tan.f64 x))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 1/2 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (/.f64 2 (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))) (/.f64 2 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (tan.f64 x)) (tan.f64 x)) (/.f64 2 (tan.f64 x)))
(pow.f64 (/.f64 1 (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))

eval641.0ms (7.4%)

Compiler: Compiled 68268 to 25823 computations (62.2% saved)

prune689.0ms (8%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	1933	17	1950
Fresh	7	12	19
Picked	0	1	1
Done	2	3	5
Total	1942	33	1975

Error

0.0b

Counts

1975 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.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))))
	14.0b	(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	13.1b	(/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (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 1 (.f64 (tan.f64 x) (tan.f64 x))))
	29.9b	(/.f64 (-.f64 1 (/.f64 (/.f64 (tan.f64 x) (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) -1)) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	13.2b	(/.f64 (-.f64 1 (/.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 2 (tan.f64 x)) (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (.f64 (tan.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (.f64 (/.f64 1/2 (tan.f64 x)) (.f64 (/.f64 2 (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))))
	32.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.5b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 2 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))))
	13.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	14.0b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (+.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
	33.4b	(+.f64 (+.f64 1 (.f64 -4/45 (pow.f64 x 6))) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 2))))
	33.4b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
✓	33.1b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	32.3b	(.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.5b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
✓	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
▶	27.3b	(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
	30.2b	1

Compiler

Compiled 1390 to 820 computations (41% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 70 to 43 computations (38.6% saved)

series3.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1994×	`rational.json-1`
1994×	`rational.json-2`
1994×	`rational.json-4`
1994×	`rational.json-3`
854×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	120
1	105	120
2	264	120
3	665	120
4	1786	120
5	5373	120

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

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

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1714×	`rational.json-simplify-35`
1238×	`rational.json-simplify-51`
1034×	`rational.json-simplify-2`
718×	`rational.json-simplify-48`
624×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	294	6752
1	612	6746
2	1716	5986
3	3190	5968
4	6629	5968

Stop Event

1×	node limit

Counts

160 → 201

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 26 to 10 computations (61.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
✓	0.1b	(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 70 to 29 computations (58.6% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
1.0ms	x	@	-inf	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
0.0ms	x	@	0	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
0.0ms	x	@	inf	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
0.0ms	x	@	0	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2240×	`rational.json-1`
1138×	`exponential.json-3`
1138×	`rational.json-2`
1138×	`rational.json-4`
1138×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	133
1	96	133
2	260	121
3	813	121
4	3170	121
5	7634	121

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational.json-simplify-39`
1098×	`rational.json-simplify-2`
830×	`rational.json-simplify-35`
672×	`rational.json-simplify-61`
658×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	303	8211
1	942	8167
2	3896	8167
3	6694	8167

Stop Event

1×	node limit

Counts

179 → 204

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
2
(+.f64 (*.f64 4 (pow.f64 x 2)) 2)
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 2 (.f64 20/3 (pow.f64 x 4))))
(+.f64 (.f64 488/45 (pow.f64 x 6)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 20/3 (pow.f64 x 4)))))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
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(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(+.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
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(.f64 2 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 2 (/.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
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(.f64 (+.f64 -1 (.f64 (tan.f64 x) (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))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 1 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (+.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) -2) (/.f64 1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))
(.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(.f64 (/.f64 4 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2))
(.f64 (/.f64 4 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/4))
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Outputs
1
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(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) -1/2)
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 4 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 -2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2)))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 2 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2)) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 4 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2)) (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2)) -1)
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 -2 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2)) (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2)) 4)
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) 1/4)
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 -2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2))) 1/4))
(/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 -2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -2 (.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/4)
(/.f64 (neg.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 2 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 4)) (neg.f64 (+.f64 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))) -2)))
(/.f64 (neg.f64 (.f64 4 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (+.f64 -2 (.f64 (tan.f64 x) (.f64 (tan.f64 x) 2)))))
(/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) -4) (neg.f64 (+.f64 -2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (.f64 4 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (+.f64 -2 (.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (.f64 (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) 4)) (neg.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 -1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 0 (/.f64 1/2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 2 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 4 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 -2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 8 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 4 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 4 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))) (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 4 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))) (neg.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 -2 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 2 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (.f64 2 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1)
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (neg.f64 (.f64 2 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 2 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2)))
(.f64 2 (/.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 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 2 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 35 computations (49.3% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
✓	0.3b	(/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))
	0.3b	(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))
✓	0.5b	(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))

Compiler

Compiled 87 to 44 computations (49.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational.json-simplify-54`
1154×	`rational.json-simplify-35`
974×	`rational.json-simplify-43`
766×	`rational.json-simplify-38`
706×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	109
1	127	91
2	400	83
3	1599	83

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

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

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

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

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1508×	`rational.json-simplify-38`
1156×	`rational.json-simplify-35`
1010×	`rational.json-simplify-19`
840×	`rational.json-simplify-2`
600×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4678
1	735	4652
2	2531	4608
3	7301	4608

Stop Event

1×	node limit

Counts

158 → 193

Calls

Call 1

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

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

eval530.0ms (6.2%)

Compiler: Compiled 39631 to 21632 computations (45.4% saved)

prune418.0ms (4.9%)

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	1396	18	1414
Fresh	6	18	24
Picked	1	0	1
Done	1	7	8
Total	1404	43	1447

Error

0.0b

Counts

1447 → 43

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.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 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
✓	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))))
	14.0b	(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.6b	(/.f64 (-.f64 1 (/.f64 (+.f64 -1 (-.f64 1 (neg.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 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 2 (tan.f64 x)) (/.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (.f64 (tan.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	32.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.5b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 2 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))))
	13.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	14.0b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.3b	(/.f64 (+.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 2 (/.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2))))
	0.4b	(/.f64 2 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2)))))
	32.6b	(/.f64 2 (+.f64 (*.f64 4 (pow.f64 x 2)) 2))
	0.5b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
	13.2b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (/.f64 (.f64 (/.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 (.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) (tan.f64 x)))))))
▶	0.5b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))))
✓	0.4b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 2 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
	0.4b	(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(-.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
	33.4b	(+.f64 (+.f64 1 (.f64 -4/45 (pow.f64 x 6))) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 2))))
	33.4b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 1 (.f64 (pow.f64 x 2) -2)))
✓	33.1b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	32.3b	(.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.5b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
✓	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.4b	(.f64 (/.f64 -1 (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
▶	27.3b	(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
▶	33.4b	(*.f64 -1 (+.f64 (pow.f64 x 2) -1))
	27.3b	(*.f64 -1 (+.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))) -1))
	27.3b	(*.f64 -1 (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
✓	27.3b	(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.4b	(neg.f64 (/.f64 (/.f64 -2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	30.2b	1

Compiler

Compiled 1778 to 1115 computations (37.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 28 computations (56.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-4`
1540×	`rational.json-3`
1526×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	92
1	102	80
2	243	68
3	619	68
4	2017	68
5	5740	68

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1904×	`rational.json-simplify-35`
1016×	`rational.json-simplify-2`
908×	`rational.json-simplify-1`
892×	`rational.json-simplify-50`
706×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	3068
1	273	3062
2	632	2906
3	1986	2894
4	4453	2894
5	6999	2894

Stop Event

1×	node limit

Counts

76 → 83

Calls

Call 1

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

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

localize9.0ms (0.1%)

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
	0.2b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
	0.2b	(pow.f64 (sin.f64 x) 2)
	0.3b	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 50 to 31 computations (38% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`rational.json-1`
1534×	`rational.json-2`
1534×	`rational.json-4`
1534×	`rational.json-3`
1526×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	91	33
2	218	33
3	486	33
4	1192	33
5	4322	33

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify168.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational.json-simplify-41`
1010×	`rational.json-simplify-2`
776×	`rational.json-simplify-35`
760×	`rational.json-simplify-50`
716×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	853
1	129	853
2	323	853
3	756	853
4	1641	853
5	3370	853
6	4528	853
7	5570	853
8	6951	853
9	7857	853

Stop Event

1×	node limit

Counts

27 → 38

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))))
	0.3b	(/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.5b	(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))

Compiler

Compiled 107 to 60 computations (43.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`exponential.json-3`
1442×	`rational.json-1`
1442×	`rational.json-2`
1442×	`rational.json-4`
1442×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	135	59
2	366	47
3	1198	47
4	4210	47

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational.json-simplify-54`
900×	`rational.json-simplify-2`
862×	`rational.json-simplify-35`
826×	`rational.json-simplify-47`
792×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	107	2520
1	250	2504
2	573	2504
3	1246	2504
4	4178	2472

Stop Event

1×	node limit

Counts

48 → 59

Calls

Call 1

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

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

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (sin.f64 x) 2)
	0.3b	(pow.f64 (cos.f64 x) 2)
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	2.5b	(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))

Compiler

Compiled 106 to 66 computations (37.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`exponential.json-3`
1316×	`rational.json-1`
1316×	`rational.json-2`
1316×	`rational.json-4`
1316×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	89	23
2	187	21
3	384	11
4	779	11
5	1809	11
6	4014	11
7	6547	11

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))

Outputs

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

simplify262.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1828×	`rational.json-simplify-1`
1696×	`rational.json-simplify-35`
1368×	`rational.json-simplify-53`
1068×	`rational.json-simplify-2`
870×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	875
1	286	875
2	1054	875
3	2656	875
4	5032	875
5	5681	875
6	5956	875
7	6189	875
8	6454	875
9	7924	875

Stop Event

1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))
(-.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)
(-.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(-.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 4 (.f64 (pow.f64 (sin.f64 x) 2) 1/4))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)
(.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) 16))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8)) -16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8))) -16)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2))) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -4))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (neg.f64 (sin.f64 x)) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))) (*.f64 -1/315 (pow.f64 x 8))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 -1/3 (pow.f64 x 4))) (+.f64 (.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6)))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(-.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (.f64 (pow.f64 (sin.f64 x) 2) -1/2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(pow.f64 (sin.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(.f64 4 (.f64 (pow.f64 (sin.f64 x) 2) 1/4))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(pow.f64 (sin.f64 x) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) 16))
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8)) -16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8))) -16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2))) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -4))) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (neg.f64 (sin.f64 x)) 2)
(pow.f64 (sin.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

eval421.0ms (4.9%)

Compiler: Compiled 33156 to 18042 computations (45.6% saved)

prune280.0ms (3.3%)

Pruning

42 alts after pruning (31 fresh and 11 done)

	Pruned	Kept	Total
New	1124	7	1131
Fresh	7	24	31
Picked	1	0	1
Done	0	11	11
Total	1132	42	1174

Error

0.0b

Counts

1174 → 42

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.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 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (.f64 (tan.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (tan.f64 x)) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	32.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.5b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
	13.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -2)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	13.9b	(/.f64 (+.f64 (-.f64 1 (+.f64 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) -1)) -1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (+.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (.f64 (tan.f64 x) (tan.f64 x))))))
✓	0.3b	(/.f64 (+.f64 (-.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 2 (/.f64 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2))))
	0.4b	(/.f64 2 (/.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 1/2) 1/2)))))
	32.6b	(/.f64 2 (+.f64 (*.f64 4 (pow.f64 x 2)) 2))
	0.5b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
	13.2b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (/.f64 (.f64 (/.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 (.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) (tan.f64 x)))))))
✓	0.5b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))))
	0.5b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (/.f64 1 (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (tan.f64 x))))))))
✓	0.4b	(/.f64 2 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 2 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
	0.4b	(/.f64 1 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
	0.4b	(-.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
	33.4b	(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -2)) (.f64 (pow.f64 x 4) 2/3))
	33.4b	(+.f64 (+.f64 1 (.f64 -4/45 (pow.f64 x 6))) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 2))))
✓	33.1b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	13.9b	(.f64 (/.f64 (-.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (tan.f64 x) (tan.f64 x)))
	32.3b	(.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
✓	0.4b	(.f64 (/.f64 1 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.4b	(.f64 (/.f64 -1 (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	14.0b	(.f64 (tan.f64 x) (.f64 (tan.f64 x) (/.f64 (-.f64 1 (/.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
✓	27.3b	(*.f64 -1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
✓	33.4b	(*.f64 -1 (+.f64 (pow.f64 x 2) -1))
	27.3b	(*.f64 -1 (+.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x)))) -1))
	27.3b	(*.f64 -1 (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
✓	27.3b	(.f64 -1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))
	0.4b	(neg.f64 (/.f64 (/.f64 -2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	30.2b	1

Compiler

Compiled 915 to 568 computations (37.9% saved)

regimes120.0ms (1.4%)

Counts

67 → 1

Calls

Call 1

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

28.0ms	(tan.f64 x)
26.0ms	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 1551 to 748 computations (51.8% saved)

regimes28.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(tan.f64 x)
8.0ms	x
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
27.3b	1	`x`
27.3b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
27.3b	1	`(tan.f64 x)`

Compiler

Compiled 202 to 150 computations (25.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -3.5b remaining (-11.7%)

Threshold costs -3.5b (-11.7%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
30.2b	1	`x`

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	75

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 17 computations (39.3% saved)

soundness0.0ms (0%)

end20.0ms (0.2%)

Compiler: Compiled 26 to 13 computations (50% saved)

Details

analyze181.0ms (2.1%)

sample1.4s (16%)

preprocess96.0ms (1.1%)

simplify94.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series4.0ms (0%)

rewrite97.0ms (1.1%)

simplify119.0ms (1.4%)

eval103.0ms (1.2%)

prune81.0ms (0.9%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite117.0ms (1.4%)

simplify97.0ms (1.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite263.0ms (3.1%)

simplify270.0ms (3.1%)

localize14.0ms (0.2%)

series6.0ms (0.1%)

rewrite79.0ms (0.9%)

simplify123.0ms (1.4%)

localize19.0ms (0.2%)

series3.0ms (0%)

rewrite69.0ms (0.8%)

simplify88.0ms (1%)

localize27.0ms (0.3%)

series3.0ms (0%)

rewrite114.0ms (1.3%)

simplify107.0ms (1.2%)

eval641.0ms (7.4%)

prune689.0ms (8%)

localize24.0ms (0.3%)

series3.0ms (0%)

rewrite96.0ms (1.1%)

simplify146.0ms (1.7%)

localize9.0ms (0.1%)

localize20.0ms (0.2%)

series6.0ms (0.1%)

rewrite105.0ms (1.2%)

simplify151.0ms (1.8%)

localize26.0ms (0.3%)

localize27.0ms (0.3%)

series2.0ms (0%)

rewrite63.0ms (0.7%)

simplify110.0ms (1.3%)

eval530.0ms (6.2%)

prune418.0ms (4.9%)

localize17.0ms (0.2%)

series1.0ms (0%)

rewrite81.0ms (0.9%)

simplify124.0ms (1.4%)

localize9.0ms (0.1%)

localize19.0ms (0.2%)

series0.0ms (0%)

rewrite77.0ms (0.9%)

simplify168.0ms (2%)

localize32.0ms (0.4%)

series0.0ms (0%)

rewrite65.0ms (0.8%)

simplify81.0ms (0.9%)

localize40.0ms (0.5%)

series0.0ms (0%)

rewrite93.0ms (1.1%)

simplify262.0ms (3%)

eval421.0ms (4.9%)

prune280.0ms (3.3%)

regimes120.0ms (1.4%)

regimes28.0ms (0.3%)

regimes5.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end20.0ms (0.2%)

Profiling