Details

analyze490.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample9.4s (52.2%)

Results

5.1s	2069×	body	2048	valid
3.1s	3098×	body	1024	valid
583.0ms	1524×	body	512	valid
432.0ms	1447×	body	256	valid
121.0ms	114×	body	4096	valid
8.0ms	4×	body	8192	valid

Bogosity

preprocess122.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1432×	`rational.json-simplify-35`
964×	`rational.json-simplify-50`
910×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`
854×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	30	21
3	51	21
4	97	21
5	202	21
6	484	21
7	1308	21
8	2611	21
9	3783	21
10	4673	21
11	5739	21
12	6775	21
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-35`
964×	`rational.json-simplify-50`
910×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`
854×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	30	21
3	51	21
4	97	21
5	202	21
6	484	21
7	1308	21
8	2611	21
9	3783	21
10	4673	21
11	5739	21
12	6775	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% 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

34.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2034×	`bool.json-1`
2034×	`bool.json-2`
1684×	`bool.json-3`
654×	`rational.json-simplify-35`
590×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	100	32
2	326	32
3	771	32
4	1873	32
5	5739	32

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

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

Outputs

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

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1844×	`rational.json-simplify-35`
1346×	`rational.json-simplify-2`
1038×	`rational.json-simplify-53`
682×	`rational.json-simplify-38`
672×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	2373
1	469	2343
2	1470	2225
3	3223	2169
4	6745	2169

Stop Event

1×	node limit

Counts

89 → 117

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -1) 4)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 -1 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (sin.f64 x)) 1))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 -1 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (/.f64 1 (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 1/4 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(-.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(-.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -1) 4)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (sin.f64 x) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 -1 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (sin.f64 x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 -1 (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (/.f64 1 (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 2 (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 1/2 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 1/2 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 1/4 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 2) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval89.0ms (0.5%)

Compiler: Compiled 1779 to 1098 computations (38.3% saved)

prune114.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	103	14	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	15	118

Error

0.2b

Counts

118 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	35.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
✓	34.0b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	34.1b	(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
	27.9b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
▶	27.8b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	36.0b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
	36.0b	(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	36.0b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
▶	34.0b	(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
	34.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	35.9b	(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
▶	36.0b	(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	35.9b	(.f64 (sin.f64 x) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
	35.9b	(.f64 1/2 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x))))))
▶	27.4b	(*.f64 1/2 x)

Compiler

Compiled 540 to 368 computations (31.9% saved)

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/24 (pow.f64 x 3))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`bool.json-1`
1576×	`bool.json-2`
1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	188	13
3	381	13
4	758	13
5	1588	13
6	3679	13
7	6346	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 1/24 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))))))

simplify792.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

8274×	`rational.json-simplify-41`
3908×	`rational.json-simplify-35`
2782×	`rational.json-simplify-49`
2294×	`rational.json-simplify-2`
784×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	143
1	80	143
2	145	143
3	324	143
4	776	143
5	2481	143
6	3139	143
7	3301	143
8	3364	143
9	3409	143
10	3449	143
11	3487	143
12	3525	143
13	3563	143
14	3601	143
15	3639	143
16	3677	143
17	3715	143
18	3753	143
19	3791	143
20	3829	143
21	5642	143
22	5896	143
23	5927	143
24	5930	143
25	5933	143
26	5934	143
27	6579	143
28	6783	143
29	6981	143
30	7179	143
31	7377	143
32	7575	143
33	7773	143
34	7773	143
35	7773	143

Stop Event

1×	node limit

Counts

11 → 12

Calls

Call 1

Inputs
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))) 64)

Outputs
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 8)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/3)) 16)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))) 64)
(*.f64 1/24 (pow.f64 x 3))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 1 (cos.f64 x)))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`bool.json-1`
1466×	`bool.json-2`
1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	138	49
2	428	49
3	1063	49
4	4131	49

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

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

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational.json-simplify-2`
1330×	`rational.json-simplify-35`
1074×	`rational.json-simplify-53`
912×	`rational.json-simplify-49`
838×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	4084
1	1255	4040
2	5716	4034

Stop Event

1×	node limit

Counts

186 → 194

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) -1/2)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x)))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 2)))
(/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 -1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(/.f64 -1 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1))
(/.f64 -1 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x))) 1))
(/.f64 -1 (/.f64 (sin.f64 (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 (neg.f64 x)))
(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (sin.f64 x))))
(/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))
(/.f64 4 (+.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (/.f64 1 (sin.f64 x))))
(/.f64 4 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)) 1))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 4 (sin.f64 x)))
(/.f64 -2 (+.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(/.f64 -2 (+.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x)))))
(/.f64 -2 (.f64 (.f64 2 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(/.f64 -2 (.f64 (neg.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (sin.f64 x)))
(/.f64 -2 (*.f64 (/.f64 (sin.f64 x) -1/2) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) -1/2))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 (sin.f64 x) -1/2) 1))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 -2 (sin.f64 x)))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2)))
(/.f64 8 (+.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4))))
(/.f64 8 (.f64 (.f64 2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)) (sin.f64 x)))
(/.f64 8 (.f64 (.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) (.f64 4 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 8 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))) (+.f64 (/.f64 (sin.f64 x) -1/2) (/.f64 (sin.f64 x) -1/2)))
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 -4 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) 2)
(/.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (/.f64 4 (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) -1/2))
(/.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4))
(/.f64 (+.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (*.f64 2 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -2)
(/.f64 (+.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (+.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (sin.f64 x)))) (*.f64 2 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (sin.f64 x)) -2)
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) 4)
(/.f64 (/.f64 -2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) -1/2))
(/.f64 (/.f64 8 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 -2 (sin.f64 x)) (*.f64 2 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 -2 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (/.f64 8 (sin.f64 x)) (.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (/.f64 1 (-.f64 1 (cos.f64 x)))) 4)
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (.f64 (sin.f64 x) 2)) (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 1/2)
(/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) 1/2)
(/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 4 (sin.f64 x)) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) 2)) (neg.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (neg.f64 (/.f64 -1 (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 -1 (sin.f64 x))) (-.f64 0 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 4 (sin.f64 x))) (-.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 0 (.f64 (sin.f64 x) 4)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (sin.f64 x)))) (-.f64 0 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) 1/4)
(*.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) -1)
(.f64 1/2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(neg.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/120)))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1/6 (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 4) 1/3024)) (*.f64 (pow.f64 x 2) 1/120)))
(+.f64 1/6 (+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 1/3024))))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 4) 1/3024) (*.f64 (pow.f64 x 2) 1/120))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) -1/2)
(-.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) 1/4)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) -1)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 1/2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(neg.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
✓	0.2b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 69 to 40 computations (42% saved)

series6.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`bool.json-1`
1858×	`bool.json-2`
1820×	`rational.json-1`
1470×	`bool.json-3`
942×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	129
1	161	129
2	563	117
3	1829	117
4	5888	117

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))

(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))

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

Outputs

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simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational.json-simplify-2`
1116×	`rational.json-simplify-35`
818×	`rational.json-simplify-50`
750×	`rational.json-simplify-44`
736×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	4339
1	1198	4321
2	4501	4315
3	7200	4315

Stop Event

1×	node limit

Counts

167 → 179

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
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(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x))))) (-.f64 0 (.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 4)))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 0 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) -2)))
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (neg.f64 (/.f64 4 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) -2)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (neg.f64 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (-.f64 1 (cos.f64 x))))) (.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) 0)
(+.f64 0 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))))
(-.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) 0)
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(.f64 (.f64 2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 2 (sin.f64 x)) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (sin.f64 x)) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1))
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/8)
(+.f64 (.f64 1/1920 (pow.f64 x 7)) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 7) 1/1920))
(+.f64 (.f64 1/24192 (pow.f64 x 9)) (+.f64 (.f64 1/1920 (pow.f64 x 7)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 7) 1/1920) (+.f64 (.f64 (pow.f64 x 3) 1/8) (*.f64 1/24192 (pow.f64 x 9))))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 (.f64 1/24192 (pow.f64 x 9)) (*.f64 (pow.f64 x 7) 1/1920)))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 (.f64 (pow.f64 x 7) 1/1920) (*.f64 1/24192 (pow.f64 x 9))))
(+.f64 (.f64 1/24192 (pow.f64 x 9)) (+.f64 (.f64 1/230400 (pow.f64 x 11)) (+.f64 (.f64 1/1920 (pow.f64 x 7)) (.f64 1/8 (pow.f64 x 3)))))
(+.f64 (.f64 1/24192 (pow.f64 x 9)) (+.f64 (.f64 (pow.f64 x 7) 1/1920) (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 1/230400 (pow.f64 x 11)))))
(+.f64 (.f64 (pow.f64 x 7) 1/1920) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 1/230400 (pow.f64 x 11))) (.f64 1/24192 (pow.f64 x 9))))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 (+.f64 (.f64 (pow.f64 x 7) 1/1920) (.f64 1/230400 (pow.f64 x 11))) (.f64 1/24192 (pow.f64 x 9))))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 (.f64 1/24192 (pow.f64 x 9)) (+.f64 (.f64 (pow.f64 x 7) 1/1920) (.f64 1/230400 (pow.f64 x 11)))))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) -1/360)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (pow.f64 x 5) -1/15120)) (.f64 (pow.f64 x 3) -1/360)))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (pow.f64 x 5) -1/15120))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (-.f64 0 (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (/.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 (/.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 8 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -4 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -4 (-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (+.f64 (/.f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))))
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(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))) 1)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) 1))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 -2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) 1))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 -2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 -2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 -1/2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (sin.f64 x)) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 1/2 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (sin.f64 x)) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 1))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 -1/2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 -1/2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
✓	0.2b	(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
✓	0.2b	(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 86 to 45 computations (47.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational.json-simplify-35`
934×	`bool.json-1`
934×	`bool.json-2`
916×	`rational.json-1`
916×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	126
1	155	120
2	587	120
3	2307	120
4	7732	120

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs

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

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

Outputs

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

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational.json-simplify-2`
948×	`rational.json-simplify-19`
656×	`rational.json-simplify-55`
620×	`rational.json-simplify-59`
602×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	5624
1	715	5158
2	3200	4856
3	6583	4856

Stop Event

1×	node limit

Counts

96 → 134

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(/.f64 2 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) 2)
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (+.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(/.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) 4)
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 4 (.f64 2 (.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 -2 (neg.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))) 8)
(/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (neg.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (neg.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(-.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) -1))
(/.f64 (sin.f64 x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) -1))
(/.f64 (sin.f64 x) (/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) -1))
(/.f64 1 (/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 2 (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x)) (/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))))
(/.f64 (.f64 (sin.f64 x) -2) (+.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) 2)
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 4) 4)
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (-.f64 0 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 4) (.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 4)) 8)
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (+.f64 (cos.f64 x) -1))

Outputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))) 2/3)
(+.f64 (.f64 (pow.f64 x 2) 1/60) (-.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 (pow.f64 x 2) 1/60) 2/3))
(-.f64 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/60)) (-.f64 (*.f64 1/1512 (pow.f64 x 4)) 2/3))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) 1/60) (*.f64 1/1512 (pow.f64 x 4)))) 2/3)
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (-.f64 (.f64 (pow.f64 x 2) 1/60) 2/3) (*.f64 1/1512 (pow.f64 x 4))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/1512 (pow.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) 1/60) 2/3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 1)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) 2)
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (+.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) 4)
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(.f64 2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 4) (.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 4)) 8)
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (+.f64 (cos.f64 x) -1)) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (*.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (sin.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 2 (sin.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))

eval316.0ms (1.7%)

Compiler: Compiled 21752 to 13750 computations (36.8% saved)

prune187.0ms (1%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	814	23	837
Fresh	4	5	9
Picked	1	0	1
Done	2	3	5
Total	821	31	852

Error

0.2b

Counts

852 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	35.9b	(/.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 2 (-.f64 1 (cos.f64 x))))
	36.0b	(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
	35.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
▶	35.2b	(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (sin.f64 x) (sin.f64 x)))
	36.0b	(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
	36.1b	(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
	34.0b	(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
	34.0b	(/.f64 (/.f64 -2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) -1/2))
✓	34.0b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	34.1b	(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
	35.9b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	35.9b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	36.0b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
	34.0b	(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
	34.0b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
▶	34.1b	(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
✓	27.8b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	27.9b	(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
	36.0b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
▶	36.0b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
	36.0b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))))
▶	34.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	35.9b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
	35.9b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
	36.0b	(.f64 (.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1)) (/.f64 2 (-.f64 1 (cos.f64 x))))
	36.0b	(.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
	35.9b	(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
	36.0b	(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
	36.0b	(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	36.1b	(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
✓	27.4b	(*.f64 1/2 x)

Compiler

Compiled 1326 to 937 computations (29.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (*.f64 17/40320 (pow.f64 x 7)))
✓	0.1b	(*.f64 17/40320 (pow.f64 x 7))
✓	0.1b	(*.f64 1/240 (pow.f64 x 5))
	0.3b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 81 to 64 computations (21% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 17/40320 (pow.f64 x 7))
1.0ms	x	@	0	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (*.f64 17/40320 (pow.f64 x 7)))
0.0ms	x	@	inf	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 17/40320 (pow.f64 x 7))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`bool.json-1`
1706×	`bool.json-2`
1648×	`rational.json-1`
1648×	`rational.json-2`
1016×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	145	69
2	338	69
3	670	69
4	1426	69
5	3363	69
6	6695	69

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

Inputs
(*.f64 1/240 (pow.f64 x 5))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (*.f64 17/40320 (pow.f64 x 7)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/120) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/60) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 5) 1/60)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 1/60))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 1/60))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 1/60)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 17/40320 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 7) 17/80640) (*.f64 (pow.f64 x 7) 17/80640))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 17/40320 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) 17/20160) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) 17/10080) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 7) 17/10080)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 17/10080))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 17/10080))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 17/10080)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 17/40320 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 17/40320 (pow.f64 x 7)) (*.f64 17/40320 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 17/40320 (pow.f64 x 7)) (*.f64 17/40320 (pow.f64 x 7)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))))))

simplify237.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2858×	`rational.json-simplify-43`
2590×	`rational.json-simplify-51`
1964×	`rational.json-simplify-35`
1644×	`rational.json-simplify-49`
1202×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1369
1	184	1369
2	445	1369
3	1068	1369
4	2356	1369
5	3215	1369
6	3412	1369
7	3550	1369
8	3659	1369
9	3759	1369
10	3859	1369
11	3967	1369
12	4067	1369
13	4167	1369
14	4167	1369

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 (pow.f64 x 5) 1/480))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/60))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))) 32)
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 (pow.f64 x 7) 17/80640) (.f64 (pow.f64 x 7) 17/80640))
(-.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(/.f64 (*.f64 17/40320 (pow.f64 x 7)) 1)
(/.f64 (*.f64 (pow.f64 x 7) 17/20160) 2)
(/.f64 (*.f64 (pow.f64 x 7) 17/10080) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 7) 17/10080)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 17/10080))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 17/10080))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 17/10080)))) 32)
(-.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 0)
(.f64 1/2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)
(.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))
(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))
(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))
(.f64 (.f64 1/2 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))) 2)
(.f64 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4)))) 32)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 (pow.f64 x 5) 1/480))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/60))) 16)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))) 32)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 0 (*.f64 17/40320 (pow.f64 x 7)))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 (pow.f64 x 7) 17/80640) (.f64 (pow.f64 x 7) 17/80640))
(*.f64 17/40320 (pow.f64 x 7))
(-.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (*.f64 17/40320 (pow.f64 x 7)) 1)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 x 7) 17/20160) 2)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 x 7) 17/10080) 4)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 (pow.f64 x 7) 17/10080)) 8)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 17/10080))) 16)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 17/10080))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 17/10080)))) 32)
(*.f64 17/40320 (pow.f64 x 7))
(-.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 0)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1/2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 2) 1/2)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 4 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 1/4)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1/4 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (.f64 1/2 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))) 2)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 2) 2)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4)) 8)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))) 16)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4)))) 32)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`bool.json-1`
1480×	`bool.json-2`
1440×	`rational.json-1`
1440×	`rational.json-2`
1440×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	110	32
2	333	32
3	742	32
4	1713	32
5	4684	32

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational.json-simplify-61`
1292×	`rational.json-simplify-2`
1172×	`rational.json-simplify-35`
1138×	`rational.json-simplify-51`
918×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1762
1	521	1762
2	1442	1726
3	5164	1726

Stop Event

1×	node limit

Counts

82 → 90

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 -1 (-.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 4 (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) 2))
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 8 (+.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 8 (/.f64 (*.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x))))
(/.f64 -2 (-.f64 0 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 1/2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 8))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 8 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) -2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 1/2)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 1/2))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) -2))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (+.f64 (cos.f64 x) -1))) (.f64 2 (.f64 (sin.f64 x) -2)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (sin.f64 x)) 8)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) -1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 1/4)
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (sin.f64 x) 4)))
(/.f64 (neg.f64 (.f64 2 (+.f64 (cos.f64 x) -1))) (-.f64 0 (.f64 (sin.f64 x) -2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(+.f64 0 (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 2 (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) 4))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 1/2))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 x)) 4))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/6))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 x 1/6) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) 7/360)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) 7/360) (.f64 x 1/6)))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (.f64 (pow.f64 x 3) 7/360))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (.f64 x 1/6) (+.f64 (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) 7/360)) (*.f64 (pow.f64 x 5) 31/15120)))
(+.f64 (.f64 x 1/6) (+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 5) 31/15120) (*.f64 (pow.f64 x 3) 7/360))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 7/360) (.f64 (pow.f64 x 5) 31/15120)) (*.f64 x 1/6)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/6) (+.f64 (.f64 (pow.f64 x 3) 7/360) (*.f64 (pow.f64 x 5) 31/15120))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (-.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 8 (+.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 8 (/.f64 (*.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (-.f64 0 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 8 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (+.f64 (cos.f64 x) -1))) (.f64 2 (.f64 (sin.f64 x) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (sin.f64 x)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 1/4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 2 (+.f64 (cos.f64 x) -1))) (-.f64 0 (.f64 (sin.f64 x) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 2 (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 2)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) 4))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)
(/.f64 1 (sin.f64 x))
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 1/2))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 x)) 4))
(/.f64 1 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (-.f64 1 (cos.f64 x)))
✓	0.1b	(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
✓	0.2b	(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 55 to 36 computations (34.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`bool.json-1`
1438×	`bool.json-2`
1404×	`rational.json-1`
1404×	`rational.json-2`
1404×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	165	66
2	584	42
3	1886	42
4	5308	42

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))

Outputs

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

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

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1144×	`rational.json-simplify-47`
1126×	`rational.json-simplify-44`
976×	`rational.json-simplify-35`
930×	`rational.json-simplify-51`
756×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2818
1	572	2566
2	1419	2554
3	5063	2554
4	7789	2554

Stop Event

1×	node limit

Counts

112 → 121

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/6 x) (.f64 1/360 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/15120 (pow.f64 x 5)) (.f64 1/360 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 0)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 0)
(-.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (sin.f64 x))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 1)
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 -2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 -2 (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 1 (sin.f64 x)) -2)))
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2) 1/2)
(.f64 2 (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) -2)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 2 (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1/2))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) 1))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 -4 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (*.f64 (/.f64 (sin.f64 x) 2) 1))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (*.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (*.f64 -1/2 (neg.f64 (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 -1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) -2)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 -1 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4) 1/4)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 -4 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) -1/2)
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -1)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 -1/2 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 x) (/.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)))
(.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (/.f64 (sin.f64 x) 1/2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 -4 (/.f64 -1 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 -1 (*.f64 (sin.f64 x) -2)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 1))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (neg.f64 (sin.f64 x)) 1/2)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) 1/2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 -4 (/.f64 -1 (sin.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (sin.f64 x)) 2))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 1/2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))

Outputs
(/.f64 -2 x)
(-.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/6 x) (.f64 1/360 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 x 1/6) (.f64 1/360 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/15120 (pow.f64 x 5)) (.f64 1/360 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 3)) (.f64 1/15120 (pow.f64 x 5))) (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
(+.f64 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 1/360 (pow.f64 x 3)) (.f64 1/15120 (pow.f64 x 5))))
(+.f64 (.f64 x 1/6) (-.f64 (+.f64 (.f64 1/360 (pow.f64 x 3)) (.f64 1/15120 (pow.f64 x 5))) (.f64 2 (/.f64 1 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/24))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 5) 1/240) (*.f64 x 1/2)))
(+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 5) 1/240) (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 5) 1/240) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 5) 1/240) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 0)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(+.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 0)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(-.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 1)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 -2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 -2 (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 1 (sin.f64 x)) -2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2) 1/2)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 1 (sin.f64 x)) 2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) -2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) -2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 2 (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (+.f64 (cos.f64 x) -1)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1/2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) 1))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 -4 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (/.f64 (sin.f64 x) 2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (*.f64 (/.f64 (sin.f64 x) 2) 1))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (*.f64 1/2 (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (*.f64 -1/2 (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2) (/.f64 1 (/.f64 2 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 -4 (/.f64 (sin.f64 x) 4)))
(*.f64 -4 (/.f64 (/.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 -1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) -2)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 -1 (/.f64 2 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4) 1/4)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 -4 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) -1/2)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 -1/2 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) 2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -2))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (/.f64 (sin.f64 x) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 -4 (/.f64 -1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 -1 (*.f64 (sin.f64 x) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 1/2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (neg.f64 (sin.f64 x)) 1/2)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 -2 (sin.f64 x))))
(.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) 1/2)))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 -2 (sin.f64 x))))
(.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (/.f64 1/4 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 -4 (/.f64 -1 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (/.f64 1/4 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (sin.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
	2.0b	(-.f64 1 (cos.f64 x))
✓	16.2b	(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (sin.f64 x) (sin.f64 x)))

Compiler

Compiled 67 to 39 computations (41.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite144.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`rational.json-simplify-35`
1056×	`bool.json-1`
1056×	`bool.json-2`
1036×	`rational.json-1`
1036×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	176	89
2	667	77
3	2668	63

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (sin.f64 x) (sin.f64 x)))

(*.f64 (sin.f64 x) (sin.f64 x))

(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))

Outputs

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

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

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational.json-simplify-35`
992×	`rational.json-simplify-19`
724×	`rational.json-simplify-2`
688×	`rational.json-simplify-29`
642×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	4068
1	576	3806
2	2069	3722
3	6146	3674

Stop Event

1×	node limit

Counts

134 → 159

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(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 1/2 (pow.f64 x 3))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -17/24192 (pow.f64 x 9)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 0)
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2))
(.f64 2 (.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (sin.f64 x) (.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2) 2)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4))) (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))) 4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))) (*.f64 (sin.f64 x) 4))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(/.f64 2 (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))))))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))))))
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)) 4)
(/.f64 4 (+.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 8)
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) (neg.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x)))) (-.f64 0 (fabs.f64 (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(fabs.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (sin.f64 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 8)))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2))
(.f64 (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(.f64 4 (/.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)) 4)
(.f64 (/.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 8)) (*.f64 (sin.f64 x) 4))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 2/45 (pow.f64 x 6)) (.f64 -1/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (*.f64 2/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 2/45 (pow.f64 x 6)) (.f64 -1/315 (pow.f64 x 8))) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))))
(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 1/2 (pow.f64 x 3))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (pow.f64 x 5) -1/8))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 5) -1/8) (*.f64 (pow.f64 x 7) 1/80)))
(+.f64 (.f64 (pow.f64 x 5) -1/8) (+.f64 (.f64 1/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 1/80)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -17/24192 (pow.f64 x 9)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 (pow.f64 x 5) -1/8) (.f64 (pow.f64 x 7) 1/80)) (.f64 -17/24192 (pow.f64 x 9))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 5) -1/8) (+.f64 (.f64 -17/24192 (pow.f64 x 9)) (.f64 (pow.f64 x 7) 1/80))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 5) -1/8) (+.f64 (.f64 (pow.f64 x 7) 1/80) (.f64 -17/24192 (pow.f64 x 9)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2))
(+.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 8))))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) 2))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 x) (.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) 2))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 8))))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) 2) 2)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4))) (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) 2))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))) 4)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 8))))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))) (*.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 8))))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) 2))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (sin.f64 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)) 4)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 4 (+.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 8)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) (neg.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x)))) (-.f64 0 (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))) (.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 8)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (*.f64 8 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) 8)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) -1/2) 8)))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 4 (/.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(.f64 4 (/.f64 (sin.f64 x) (.f64 4 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 4))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)) 4)
(.f64 4 (/.f64 (sin.f64 x) (.f64 4 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 4))
(.f64 (/.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 8)) (*.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (*.f64 8 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) 8)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) -1/2) 8)))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2)))

localize176.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
✓	0.2b	(/.f64 1 (*.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
✓	0.2b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 102 to 67 computations (34.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2182×	`bool.json-1`
2182×	`bool.json-2`
1046×	`rational.json-simplify-35`
868×	`rational.json-simplify-49`
726×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	171
1	183	153
2	607	153
3	1838	65
4	7120	65

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))))

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

(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))

Outputs

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simplify253.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational.json-simplify-44`
1554×	`rational.json-simplify-35`
1452×	`rational.json-simplify-47`
1444×	`rational.json-simplify-2`
828×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	5359
1	1511	5275
2	7410	5261

Stop Event

1×	node limit

Counts

227 → 244

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(/.f64 (neg.f64 (neg.f64 (/.f64 1 (sin.f64 x)))) (-.f64 0 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) 1/2)
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/4)))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(.f64 -1 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 -1 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2))))
(.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 1/2 (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) -2) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x))))
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(.f64 1 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) 1))
(*.f64 -1 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(.f64 -1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) 1))
(.f64 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1/2)
(.f64 (/.f64 8 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(.f64 (neg.f64 (/.f64 4 (-.f64 1 (cos.f64 x)))) (/.f64 1 (.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 1/2 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (neg.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) -1)
(*.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) -1)
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 4 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(neg.f64 (neg.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/2 x)))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 8 (pow.f64 x 4))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 4/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 11/90 (.f64 4/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 2))) 11/90))
(+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 2))) (+.f64 11/90 (.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) 11/90))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 11/90 (+.f64 (.f64 31/3780 (pow.f64 x 2)) (*.f64 4/3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 11/90 (+.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 31/3780)) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) 31/3780) 11/90)))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 2))) (+.f64 11/90 (*.f64 (pow.f64 x 2) 31/3780))))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (+.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (*.f64 (sin.f64 x) (/.f64 4 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (+.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (+.f64 (.f64 (sin.f64 x) (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (+.f64 (/.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (+.f64 (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1 (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (+.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (+.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (sin.f64 x)))) (-.f64 0 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) 1/2)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/4)))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 4))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (neg.f64 (.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(.f64 -1 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(-.f64 1 (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1/2) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 2 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) -2) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) -1/2)) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (+.f64 (cos.f64 x) -1))) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(+.f64 0 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(-.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(.f64 1 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(*.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 -1/2 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 4 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 -1/2 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(*.f64 -1 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(.f64 -1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) 1))
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1/2)
(.f64 1/2 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 8 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (/.f64 8 (-.f64 1 (cos.f64 x))) (/.f64 1/4 (-.f64 1 (cos.f64 x))))
(.f64 (neg.f64 (/.f64 4 (-.f64 1 (cos.f64 x)))) (/.f64 1 (.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 (neg.f64 (/.f64 4 (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 4 (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 1/2 (/.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (neg.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) -1)
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 4 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 -1/2 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(neg.f64 (neg.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(neg.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))

eval461.0ms (2.5%)

Compiler: Compiled 19130 to 12915 computations (32.5% saved)

prune509.0ms (2.8%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	903	20	923
Fresh	10	13	23
Picked	0	1	1
Done	3	4	7
Total	916	38	954

Error

0.2b

Counts

954 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
▶	36.0b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	35.5b	(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
	35.6b	(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (sin.f64 x))))
	35.3b	(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
	34.0b	(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (-.f64 1 (cos.f64 x))))
	36.0b	(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
	36.1b	(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
▶	34.0b	(/.f64 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 (neg.f64 x)))
✓	34.0b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	34.1b	(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
	35.9b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	35.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
	34.0b	(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
	34.0b	(/.f64 4 (*.f64 (sin.f64 x) (/.f64 4 (-.f64 1 (cos.f64 x)))))
	34.1b	(/.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
	34.0b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
▶	27.5b	(/.f64 -1 (/.f64 -2 x))
	27.2b	(/.f64 -1 (-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/15120 (pow.f64 x 5)) (.f64 1/360 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x))))
▶	27.2b	(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
	27.3b	(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
	34.1b	(/.f64 -1 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 2 (sin.f64 x)))))
✓	27.8b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	35.2b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
	36.0b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	35.3b	(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
✓	36.0b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
	36.0b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
✓	34.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	35.9b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
	35.3b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
	60.8b	(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
	36.0b	(.f64 (.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1)) (/.f64 2 (-.f64 1 (cos.f64 x))))
	36.0b	(.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
	35.9b	(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
▶	36.0b	(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
	36.1b	(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
✓	27.4b	(*.f64 1/2 x)

Compiler

Compiled 1394 to 987 computations (29.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
✓	0.3b	(*.f64 x 1/6)

Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`bool.json-1`
1482×	`bool.json-2`
1426×	`rational.json-1`
1426×	`rational.json-2`
1426×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	133	38
2	376	38
3	771	38
4	1691	32
5	4549	32

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 x 1/6)
(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x 1/6) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x 1/6) (*.f64 x 1/6))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 -1/2 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 2 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1/2 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 2 x) (*.f64 x 1/6)) (/.f64 1 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) -2) (/.f64 1/2 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) -2) (/.f64 1 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (/.f64 2 x) (*.f64 x 1/6))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (-.f64 (/.f64 2 x) (*.f64 x 1/6)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (-.f64 (/.f64 2 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (*.f64 2 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) -1/2) (/.f64 2 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))) (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 (*.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1184×	`rational.json-simplify-2`
1102×	`rational.json-simplify-53`
1062×	`rational.json-simplify-44`
1044×	`rational.json-simplify-47`
1042×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1298
1	271	1298
2	534	1298
3	1287	1298
4	5186	1298

Stop Event

1×	node limit

Counts

56 → 57

Calls

Call 1

Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/288 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/3456 (pow.f64 x 7)) (+.f64 (.f64 1/288 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(+.f64 (*.f64 x 1/6) 0)
(+.f64 0 (*.f64 x 1/6))
(-.f64 (*.f64 x 1/6) 0)
(/.f64 (*.f64 x 1/6) 1)
(/.f64 (*.f64 x 1/3) 2)
(/.f64 (*.f64 x 2/3) 4)
(/.f64 (.f64 2 (.f64 x 2/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 2/3)) (.f64 2 (.f64 x 2/3))) 16)
(+.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(+.f64 0 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))))
(-.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 -1 (/.f64 (.f64 2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) (.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))
(.f64 2 (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))))
(.f64 1 (/.f64 -1 (-.f64 (.f64 x 1/6) (/.f64 2 x))))
(.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 -1 (-.f64 (.f64 x 1/6) (/.f64 2 x))) 1)
(.f64 -2 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x))))))
(.f64 (-.f64 (/.f64 2 x) (.f64 x 1/6)) (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -2) (/.f64 1/2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))))
(.f64 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -2) (/.f64 1 (.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))
(.f64 (/.f64 2 (-.f64 (/.f64 2 x) (.f64 x 1/6))) 1/2)
(.f64 4 (/.f64 (/.f64 -1 (-.f64 (.f64 x 1/6) (/.f64 2 x))) 4))
(.f64 (.f64 2 (/.f64 2 (-.f64 (/.f64 2 x) (*.f64 x 1/6)))) 1/4)
(.f64 1/2 (/.f64 2 (-.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 -1/2 (/.f64 (.f64 2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))))
(.f64 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -1/2) (/.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -1/2))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) 2)
(neg.f64 (/.f64 1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))

Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/288 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/288 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/288 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/3456 (pow.f64 x 7)) (+.f64 (.f64 1/288 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/288 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/3456 (pow.f64 x 7)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/3456 (pow.f64 x 7)) (.f64 1/288 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 x 1/2) (.f64 1/288 (pow.f64 x 5))) (.f64 1/3456 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/288 (pow.f64 x 5)) (.f64 1/3456 (pow.f64 x 7)))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 6 (/.f64 1 x)) (*.f64 864 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 6 (/.f64 1 x)) (.f64 864 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 864 (/.f64 1 (pow.f64 x 5)))) (.f64 10368 (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 6 (/.f64 1 x)) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 10368 (/.f64 1 (pow.f64 x 7)))))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 6 (/.f64 1 x)) (*.f64 864 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 6 (/.f64 1 x)) (.f64 864 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 864 (/.f64 1 (pow.f64 x 5)))) (.f64 10368 (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 6 (/.f64 1 x)) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 10368 (/.f64 1 (pow.f64 x 7)))))))
(+.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(+.f64 0 (*.f64 x 1/6))
(*.f64 1/6 x)
(-.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(/.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(/.f64 (*.f64 x 1/3) 2)
(*.f64 1/6 x)
(/.f64 (*.f64 x 2/3) 4)
(*.f64 1/6 x)
(/.f64 (.f64 2 (.f64 x 2/3)) 8)
(*.f64 1/6 x)
(/.f64 (+.f64 (.f64 2 (.f64 x 2/3)) (.f64 2 (.f64 x 2/3))) 16)
(*.f64 1/6 x)
(+.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(+.f64 0 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(+.f64 (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(-.f64 (/.f64 -1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 -1 (/.f64 (.f64 2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) (.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 2 (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 1 (/.f64 -1 (-.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (/.f64 -1 (-.f64 (.f64 x 1/6) (/.f64 2 x))) 1)
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 -2 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x))))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (-.f64 (/.f64 2 x) (.f64 x 1/6)) (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -2) (/.f64 1/2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -2) (/.f64 1 (.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x))))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (/.f64 2 (-.f64 (/.f64 2 x) (.f64 x 1/6))) 1/2)
(.f64 1/2 (/.f64 -2 (-.f64 (.f64 1/6 x) (/.f64 2 x))))
(.f64 4 (/.f64 (/.f64 -1 (-.f64 (.f64 x 1/6) (/.f64 2 x))) 4))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (.f64 2 (/.f64 2 (-.f64 (/.f64 2 x) (*.f64 x 1/6)))) 1/4)
(.f64 1/2 (/.f64 -2 (-.f64 (.f64 1/6 x) (/.f64 2 x))))
(.f64 1/2 (/.f64 2 (-.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 1/2 (/.f64 -2 (-.f64 (.f64 1/6 x) (/.f64 2 x))))
(.f64 -1/2 (/.f64 (.f64 2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -1/2) (/.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (/.f64 2 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) -1/2))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(.f64 (/.f64 -1/2 (-.f64 (.f64 x 1/6) (/.f64 2 x))) 2)
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))
(neg.f64 (/.f64 1 (-.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 1/6 x) (/.f64 2 x)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`bool.json-1`
1546×	`bool.json-2`
1494×	`rational.json-1`
1494×	`rational.json-2`
1494×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	82	7
2	280	7
3	649	7
4	1524	7
5	4586	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2356×	`rational.json-simplify-35`
1502×	`rational.json-simplify-2`
1300×	`rational.json-simplify-51`
952×	`rational.json-simplify-1`
600×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	411
1	194	405
2	527	381
3	2324	381
4	4201	381
5	6794	381

Stop Event

1×	node limit

Counts

51 → 44

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 2 (-.f64 1 (cos.f64 x)))
✓	0.2b	(/.f64 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 (neg.f64 x)))
✓	0.2b	(/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x))))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`bool.json-1`
1418×	`bool.json-2`
1376×	`rational.json-1`
1376×	`rational.json-2`
1376×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	166	53
2	565	49
3	1674	49
4	5279	49

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

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

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational.json-simplify-35`
1188×	`rational.json-simplify-2`
854×	`rational.json-simplify-1`
848×	`rational.json-simplify-51`
746×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2508
1	430	2214
2	970	2018
3	3299	2018
4	5595	2018
5	6407	2018
6	7474	2018

Stop Event

1×	node limit

Counts

104 → 109

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (neg.f64 x))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (neg.f64 x))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (neg.f64 x))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (.f64 -1 x))))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (.f64 -1 x))))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (.f64 -1 x))))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (.f64 -1 x))))
(/.f64 4 (pow.f64 x 2))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))))
(+.f64 (cos.f64 x) -1)
(+.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 0 (+.f64 (cos.f64 x) -1))
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))
(*.f64 1 (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) 1/2)
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) -1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -4) 1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) -1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) -2)
(.f64 -1/2 (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 1/2 (.f64 -2 (-.f64 1 (cos.f64 x))))
(neg.f64 (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 -2 (sin.f64 x))))
(.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 -2 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) 1))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 -1 (sin.f64 x)) -1))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 -1 (/.f64 -1 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) 1))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (*.f64 1/2 (/.f64 -1 (sin.f64 x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) 1))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 -1/2 (/.f64 -1 (sin.f64 x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (sin.f64 x) 1/4)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -4) (/.f64 1 (*.f64 (sin.f64 x) -4)))
(.f64 (/.f64 4 (sin.f64 x)) (/.f64 1 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 2 (.f64 2 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(.f64 -1/2 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 1 (/.f64 -2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 1/2)))
(.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (.f64 -2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 2 (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 2 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) 0)
(*.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) 2))
(*.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) 1)
(.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(.f64 (.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) 4) 1/4)
(*.f64 (/.f64 -2 (-.f64 1 (cos.f64 x))) -1)
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -2)
(*.f64 -1/2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1/2))
(.f64 1/2 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 -2 (-.f64 1 (cos.f64 x))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8))) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/40320 (pow.f64 x 8)))))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (cos.f64 x))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (cos.f64 x))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (cos.f64 x))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (cos.f64 x))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
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(.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(/.f64 2 (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) 4) 1/4)
(/.f64 2 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 -2 (-.f64 1 (cos.f64 x))) -1)
(/.f64 2 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -2)
(/.f64 2 (-.f64 1 (cos.f64 x)))
(*.f64 -1/2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1/2))
(/.f64 2 (-.f64 1 (cos.f64 x)))
(.f64 1/2 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 -2 (-.f64 1 (cos.f64 x))))
(/.f64 2 (-.f64 1 (cos.f64 x)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
✓	0.2b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
✓	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
	2.0b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1886×	`bool.json-1`
1886×	`bool.json-2`
1588×	`bool.json-3`
870×	`rational.json-simplify-49`
782×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	117
1	131	117
2	501	117
3	1611	85
4	6172	85

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs

(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))

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

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

Outputs

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational.json-simplify-53`
848×	`rational.json-simplify-50`
834×	`rational.json-simplify-35`
640×	`rational.json-simplify-44`
610×	`rational.json-simplify-59`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	9333
1	1082	8867
2	4348	8673

Stop Event

1×	node limit

Counts

207 → 298

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/4 (pow.f64 x 3))
(+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))
(+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (*.f64 1/960 (pow.f64 x 7))))
(+.f64 (.f64 1/115200 (pow.f64 x 11)) (+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) 2)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))))
(/.f64 2 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 2 (/.f64 (.f64 2 (fabs.f64 (-.f64 1 (cos.f64 x)))) (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 4 (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 4 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 4 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4)) 4)
(/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (fabs.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 4))) 8)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(/.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (+.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (fabs.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) -2))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) 1/2)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (*.f64 2 (fabs.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) -2))
(/.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (fabs.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 1/2 (sin.f64 x)) 1))
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) -1)
(*.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (.f64 (sin.f64 x) 4)))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) 1))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) -1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1))
(.f64 1/2 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 2 (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (+.f64 (cos.f64 x) -1)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 1))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (.f64 2 (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 -1 (.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 2 (neg.f64 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4))))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) 1))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (fabs.f64 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) -2)))
(.f64 (.f64 2 (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/4 (pow.f64 x 3))
(+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))
(+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (*.f64 1/960 (pow.f64 x 7))))
(+.f64 (.f64 1/4 (pow.f64 x 3)) (+.f64 (.f64 1/960 (pow.f64 x 7)) (*.f64 1/12096 (pow.f64 x 9))))
(+.f64 (.f64 1/115200 (pow.f64 x 11)) (+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))))
(+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7))) (.f64 1/115200 (pow.f64 x 11))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7))) (+.f64 (.f64 1/115200 (pow.f64 x 11)) (.f64 1/12096 (pow.f64 x 9))))
(+.f64 (.f64 1/960 (pow.f64 x 7)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/12096 (pow.f64 x 9))) (.f64 1/115200 (pow.f64 x 11))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(*.f64 1/2 x)
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(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(.f64 (.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4))
(.f64 4 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) 4))
(.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 2 (neg.f64 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (neg.f64 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 -2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (-.f64 1 (cos.f64 x)))) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/4 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))) (sin.f64 x)))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) 1))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))) (sin.f64 x)))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (+.f64 (cos.f64 x) -1)))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))) (.f64 (/.f64 1 (sin.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (fabs.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 1 (fabs.f64 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 1 (fabs.f64 (+.f64 (cos.f64 x) -1))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))) (/.f64 -2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (+.f64 (cos.f64 x) -1))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 -1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))) (fabs.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))) (sin.f64 x)))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) -2)))
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) -2)))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 2 (fabs.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 2 (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) 2))
(*.f64 2 (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (+.f64 (cos.f64 x) -1))) 2))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
✓	0.3b	(pow.f64 (sin.f64 x) 2)
	2.0b	(-.f64 1 (cos.f64 x))
✓	13.1b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))

Compiler

Compiled 78 to 49 computations (37.2% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`rational.json-simplify-1`
744×	`rational.json-simplify-35`
662×	`bool.json-1`
662×	`bool.json-2`
638×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	126	61
2	370	61
3	846	61
4	2027	61
5	6257	61

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

simplify201.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational.json-simplify-2`
1118×	`rational.json-simplify-39`
832×	`rational.json-simplify-53`
798×	`rational.json-simplify-1`
792×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4088
1	548	4064
2	2575	3776
3	4909	3776
4	7171	3776

Stop Event

1×	node limit

Counts

130 → 166

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(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))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(-.f64 0 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1/2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 -1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 -1 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(.f64 -1 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (.f64 (/.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 1))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 2 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4) 1/4)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)))
(.f64 1/2 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 2 (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) (/.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4))
(.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(neg.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1))
(+.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) -1) -1)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 0 (neg.f64 (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 1 (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4)
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) 4)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(+.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(.f64 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4)
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 1/4 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 2 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(/.f64 -1 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2)
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))

Outputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))) 2/3)
(+.f64 (.f64 (pow.f64 x 2) 1/60) (-.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 (pow.f64 x 2) 1/60) 2/3))
(-.f64 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/60)) (-.f64 (*.f64 1/1512 (pow.f64 x 4)) 2/3))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/60) (*.f64 1/1512 (pow.f64 x 4))) 2/3))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (.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 (pow.f64 x 4) -1/3) (+.f64 (.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/3) (.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 (pow.f64 x 4) -1/3) (*.f64 2/45 (pow.f64 x 6)))))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 1/4)
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 6) -1/24))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 6) -1/24) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 1/320)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 (pow.f64 x 8) 1/320) (*.f64 (pow.f64 x 6) -1/24)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 (pow.f64 x 6) -1/24) (*.f64 (pow.f64 x 8) 1/320)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 (pow.f64 x 6) -1/24) (+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (.f64 (pow.f64 x 8) 1/320))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -17/120960 (pow.f64 x 10))) (+.f64 (.f64 (pow.f64 x 8) 1/320) (.f64 (pow.f64 x 6) -1/24)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 (pow.f64 x 6) -1/24) (+.f64 (.f64 (pow.f64 x 8) 1/320) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 0 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 -1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 -1 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 -1 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (.f64 (/.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 2 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 2 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 2 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4) 1/4)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)))
(.f64 (.f64 8 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 8 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 8 (/.f64 1/8 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 8 (pow.f64 (sin.f64 x) 2)) (/.f64 1/8 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 1/2 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 2 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) (/.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(neg.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1))
(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) -1) -1)
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 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 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (sin.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 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 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8)
(pow.f64 (sin.f64 x) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2)
(pow.f64 (sin.f64 x) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(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) -2) -2)
(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 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) 4)
(pow.f64 (sin.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 1/4 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 2 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 -1 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)

eval601.0ms (3.3%)

Compiler: Compiled 19424 to 12794 computations (34.1% saved)

prune206.0ms (1.1%)

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	876	14	890
Fresh	6	22	28
Picked	1	0	1
Done	3	6	9
Total	886	42	928

Error

0.2b

Counts

928 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	35.5b	(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
	34.0b	(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (-.f64 1 (cos.f64 x))))
	36.1b	(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
✓	34.0b	(/.f64 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 (neg.f64 x)))
✓	34.0b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	34.1b	(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
	35.9b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	35.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
	34.0b	(/.f64 4 (*.f64 (sin.f64 x) (/.f64 4 (-.f64 1 (cos.f64 x)))))
	34.1b	(/.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
	34.0b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	27.2b	(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
✓	27.5b	(/.f64 -1 (/.f64 -2 x))
	27.2b	(/.f64 -1 (-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/15120 (pow.f64 x 5)) (.f64 1/360 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x))))
	27.3b	(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
	34.1b	(/.f64 -1 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 2 (sin.f64 x)))))
	62.4b	(/.f64 -6 x)
	34.0b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	60.5b	(+.f64 -1 (-.f64 1 (*.f64 x -1/2)))
	35.2b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
	27.5b	(.f64 (/.f64 x 4) (.f64 x (/.f64 2 x)))
	43.8b	(*.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 (/.f64 4 x) x)))
	36.0b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	43.3b	(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
✓	36.0b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
	36.0b	(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
✓	34.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	35.9b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
	43.5b	(.f64 (/.f64 -2 x) (.f64 x (/.f64 x -4)))
	35.3b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
	35.9b	(.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
	60.8b	(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
	36.0b	(.f64 (.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1)) (/.f64 2 (-.f64 1 (cos.f64 x))))
	36.0b	(.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
	35.9b	(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
	36.2b	(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 x) 2) -1) -1) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
	36.1b	(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
✓	27.4b	(*.f64 1/2 x)
	43.8b	(.f64 -1 (/.f64 (/.f64 -4 x) (.f64 (/.f64 2 x) (/.f64 4 x))))
	43.2b	(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
	43.8b	(.f64 -2 (/.f64 -2 (.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
	62.8b	(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))

Compiler

Compiled 744 to 544 computations (26.9% saved)

regimes149.0ms (0.8%)

Counts

72 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 -6 x)
(/.f64 -1 (/.f64 -2 x))
(+.f64 -1 (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 -2 x) (.f64 x (/.f64 x -4)))
(.f64 (/.f64 x 4) (.f64 x (/.f64 2 x)))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 (/.f64 4 x) x)))
(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
(.f64 -2 (/.f64 -2 (.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 -1 (/.f64 (/.f64 -4 x) (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 4 (*.f64 (sin.f64 x) (/.f64 4 (-.f64 1 (cos.f64 x)))))
(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 -2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) -1/2))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(/.f64 -1 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(/.f64 -1 (-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/15120 (pow.f64 x 5)) (.f64 1/360 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (sin.f64 x) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 x) 2) -1) -1) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 1/2 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))

Outputs

(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))) (*.f64 17/40320 (pow.f64 x 7))))

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

Calls

2 calls:

81.0ms	x
43.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 1324 to 819 computations (38.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.779581177087105e-7	0.013097405796840387
0.0ms	-0.09716438336068052	-0.017599661425190972

Compiler

Compiled 12 to 9 computations (25% saved)

regimes117.0ms (0.6%)

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 -6 x)
(/.f64 -1 (/.f64 -2 x))
(+.f64 -1 (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 -2 x) (.f64 x (/.f64 x -4)))
(.f64 (/.f64 x 4) (.f64 x (/.f64 2 x)))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 (/.f64 4 x) x)))
(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
(.f64 -2 (/.f64 -2 (.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 -1 (/.f64 (/.f64 -4 x) (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 4 (*.f64 (sin.f64 x) (/.f64 4 (-.f64 1 (cos.f64 x)))))
(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 -2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 -2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) -1/2))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))))
(/.f64 -1 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(/.f64 -1 (-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/15120 (pow.f64 x 5)) (.f64 1/360 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x))))

Outputs
(/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

85.0ms	x
23.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 411 to 297 computations (27.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.779581177087105e-7	0.013097405796840387
0.0ms	-0.017599661425190972	-2.9571050772669403e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes119.0ms (0.7%)

Counts

23 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 -6 x)
(/.f64 -1 (/.f64 -2 x))
(+.f64 -1 (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 -2 x) (.f64 x (/.f64 x -4)))
(.f64 (/.f64 x 4) (.f64 x (/.f64 2 x)))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 (/.f64 4 x) x)))
(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
(.f64 -2 (/.f64 -2 (.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 -1 (/.f64 (/.f64 -4 x) (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 4 (*.f64 (sin.f64 x) (/.f64 4 (-.f64 1 (cos.f64 x)))))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))

Calls

2 calls:

84.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
29.0ms	x

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 264 to 193 computations (26.9% saved)

bsearch81.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	1.3559313479374547e-6	7835202.601183562
22.0ms	-0.03519568921808307	-5.914210337275029e-5

Results

77.0ms

288×

body

256

valid

Compiler

Compiled 392 to 317 computations (19.1% saved)

regimes123.0ms (0.7%)

Counts

18 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 -6 x)
(/.f64 -1 (/.f64 -2 x))
(+.f64 -1 (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 -2 x) (.f64 x (/.f64 x -4)))
(.f64 (/.f64 x 4) (.f64 x (/.f64 2 x)))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 (/.f64 4 x) x)))
(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
(.f64 -2 (/.f64 -2 (.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 -1 (/.f64 (/.f64 -4 x) (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

103.0ms	x
14.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 213 to 162 computations (23.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.779581177087105e-7	0.013097405796840387
0.0ms	-0.017599661425190972	-2.9571050772669403e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 -6 x)
(/.f64 -1 (/.f64 -2 x))
(+.f64 -1 (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 -2 x) (.f64 x (/.f64 x -4)))
(.f64 (/.f64 x 4) (.f64 x (/.f64 2 x)))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 (/.f64 4 x) x)))
(/.f64 -1 (-.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x))))
(.f64 -2 (/.f64 -2 (.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 -1 (/.f64 (/.f64 -4 x) (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 -1 (/.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x 1/6) (/.f64 2 x)) (-.f64 (.f64 x 1/6) (/.f64 2 x)))) (-.f64 (/.f64 2 x) (*.f64 x 1/6)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (-.f64 1 (cos.f64 x)))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 6 (/.f64 1 x))))
(/.f64 -1 (+.f64 (.f64 1/360 (pow.f64 x 3)) (-.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))

Outputs
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
27.2b	1	`x`

Compiler

Compiled 198 to 152 computations (23.2% saved)

regimes6.0ms (0%)

Accuracy

Total -35.9b remaining (-131.2%)

Threshold costs -35.9b (-131.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
27.4b	1	`x`

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	558

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -3602879701896397/72057594037927936) (/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 4726978168888073/1152921504606846976) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -3602879701896397/72057594037927936) (/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 4 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 4726978168888073/1152921504606846976) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))
(*.f64 1/2 x)

Compiler

Compiled 200 to 137 computations (31.5% saved)

soundness98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational.json-simplify-2`
1330×	`rational.json-simplify-35`
1074×	`rational.json-simplify-53`
912×	`rational.json-simplify-49`
838×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	4084
1	1255	4040
2	5716	4034

Stop Event

1×	node limit

Compiler

Compiled 190 to 154 computations (18.9% saved)

end153.0ms (0.8%)

Compiler: Compiled 195 to 126 computations (35.4% saved)