Details

analyze317.0ms (2.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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 18 to 15 computations (16.7% saved)

sample2.7s (18.4%)

Results

1.2s	2039×	body	1024	valid
1.0s	5125×	body	256	valid
434.0ms	1087×	body	512	valid
5.0ms	5×	body	2048	valid

Bogosity

preprocess76.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1082×	`rational.json-simplify-44`
998×	`rational.json-simplify-59`
992×	`rational.json-simplify-47`
930×	`rational.json-simplify-1`
778×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	29	43
2	49	43
3	85	43
4	156	43
5	321	43
6	908	43
7	5842	43
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Outputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational.json-simplify-44`
998×	`rational.json-simplify-59`
992×	`rational.json-simplify-47`
930×	`rational.json-simplify-1`
778×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	29	43
2	49	43
3	85	43
4	156	43
5	321	43
6	908	43
7	5842	43

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Outputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

eval2.0ms (0%)

Compiler: Compiled 87 to 64 computations (26.4% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Kept	Total
New	6	6
Fresh	1	1
Picked	0	0
Done	0	0
Total	7	7

Error

0.3b

Counts

7 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	15.6b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	15.7b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
▶	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
▶	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
▶	15.7b	(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
▶	0.5b	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 184 to 148 computations (19.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.2b	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 43 to 29 computations (32.6% saved)

series5.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
1.0ms	x	@	-inf	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
1.0ms	x	@	0	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
1.0ms	x	@	inf	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
1.0ms	x	@	-inf	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`rational.json-1`
1922×	`rational.json-2`
1922×	`rational.json-4`
1922×	`rational.json-3`
680×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	96
1	88	96
2	218	96
3	522	96
4	1304	96
5	5265	96

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(sin.f64 x)

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

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-2`
950×	`rational.json-simplify-39`
830×	`rational.json-simplify-35`
658×	`rational.json-simplify-61`
630×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	5043
1	960	4979
2	4116	4857
3	6963	4857

Stop Event

1×	node limit

Counts

175 → 211

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))) 0)
(/.f64 1/2 (/.f64 (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))) 1)
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 2 (/.f64 (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x))) 16/3) 2)
(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/2) (sin.f64 x)) (/.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 -1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x -1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 4 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x))) 32/3) 4)
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4) (/.f64 4 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 (.f64 (sin.f64 x) 8) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x))) 32/3)) 8)
(/.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x)) (/.f64 -1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4/3) (/.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 -1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x))) 32/3)) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x))) 32/3))) 16)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 2) (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1/2) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 (neg.f64 x))) (/.f64 1 (sin.f64 (*.f64 x -1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))) 1)
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 0)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 1)
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 16/3) 2)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 32/3) 4)
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 32/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 32/3)) (.f64 2 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 32/3))) 16)
(pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 0)
(.f64 1/2 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/2) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 2 (/.f64 1 (sin.f64 x))) 1/2))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/2) (sin.f64 x)) 1/2)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 (/.f64 1/2 (sin.f64 x)) 2))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 1))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 1/4 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x -1/2)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))
(.f64 (sin.f64 (.f64 x -1/2)) (*.f64 -1 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 2 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x)))
(.f64 -1 (.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 4 (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 4)))
(.f64 4 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4))
(.f64 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 4) 1/4)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 1 (.f64 (sin.f64 x) 8)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -2) (/.f64 1/2 (sin.f64 (neg.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 1 (.f64 (sin.f64 x) -2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x)) -1)
(.f64 (/.f64 2 (sin.f64 x)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 2 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))) (/.f64 2 (sin.f64 x)))
(.f64 1/4 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 4))
(.f64 (/.f64 1 (sin.f64 (.f64 x -1/2))) (/.f64 (sin.f64 (neg.f64 x)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 (.f64 x -1/2)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 x) 0)
(-.f64 0 (sin.f64 (neg.f64 x)))
(.f64 1/2 (.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(.f64 2 (.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 4) 1/4)
(*.f64 (sin.f64 (neg.f64 x)) -1)
(*.f64 -1 (sin.f64 (neg.f64 x)))
(*.f64 4 (/.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 8) 1/8)
(.f64 1/4 (.f64 (sin.f64 x) 4))
(.f64 (.f64 1/2 (sin.f64 x)) 2)
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
(/.f64 (sin.f64 x) 1)
(/.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 2 (/.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(/.f64 (sin.f64 (neg.f64 x)) -1)
(/.f64 -1 (-.f64 0 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) 8) 8)
(/.f64 (*.f64 (sin.f64 x) -2) -2)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) 16)
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) -1) 2)
(pow.f64 (sin.f64 x) 1)
(neg.f64 (sin.f64 (neg.f64 x)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 5/288 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 5/288 (pow.f64 x 4)) (+.f64 (*.f64 61/34560 (pow.f64 x 6)) 4/3)))
(+.f64 4/3 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/16))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) 5/768) (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 (pow.f64 x 4) 5/768)))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) 5/768) (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 6) 61/92160))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 (.f64 (pow.f64 x 6) 61/92160) (*.f64 (pow.f64 x 4) 5/768))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 (pow.f64 x 4) 5/768)) (+.f64 1/2 (*.f64 (pow.f64 x 6) 61/92160)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (.f64 (pow.f64 x 5) 1/120)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 5) 1/120)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 7) -1/5040))))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 7) -1/5040)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 7) -1/5040) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))) 0)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))) 0)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 1/2 (/.f64 (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
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(.f64 (sin.f64 x) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1/2 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/2) (sin.f64 x)) 1/2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 (/.f64 1/2 (sin.f64 x)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 1/4 (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x -1/2)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x -1/2)) (*.f64 -1 (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 2 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x -1/2)) (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)) 1))
(neg.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x -1/2)) (neg.f64 (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 (sin.f64 x) 2))))
(.f64 -1 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (.f64 2 (sin.f64 x))))))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -1 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 4 (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 4)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 4 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 4) 1/4)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 1 (.f64 (sin.f64 x) 8)))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 8 (/.f64 1/8 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -2) (/.f64 1/2 (sin.f64 (neg.f64 x))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 -2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 1 (.f64 (sin.f64 x) -2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 -2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 -2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x -1/2)) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 2 (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1/2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 2 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))) (/.f64 2 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 1/4 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 4))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 (.f64 x -1/2))) (/.f64 (sin.f64 (neg.f64 x)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x -1/2))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x -1/2))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 (.f64 x -1/2)))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x -1/2)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (sin.f64 (neg.f64 x)))
(sin.f64 x)
(.f64 1/2 (.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(.f64 2 (.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) 4) 1/4)
(sin.f64 x)
(*.f64 (sin.f64 (neg.f64 x)) -1)
(sin.f64 x)
(*.f64 -1 (sin.f64 (neg.f64 x)))
(sin.f64 x)
(*.f64 4 (/.f64 (sin.f64 x) 4))
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) 8) 1/8)
(sin.f64 x)
(.f64 1/4 (.f64 (sin.f64 x) 4))
(sin.f64 x)
(.f64 (.f64 1/2 (sin.f64 x)) 2)
(sin.f64 x)
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(/.f64 (sin.f64 x) 1)
(sin.f64 x)
(/.f64 1 (/.f64 1 (sin.f64 x)))
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(sin.f64 x)
(/.f64 2 (*.f64 2 (/.f64 1 (sin.f64 x))))
(sin.f64 x)
(/.f64 2 (/.f64 2 (sin.f64 x)))
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(sin.f64 x)
(/.f64 (sin.f64 (neg.f64 x)) -1)
(sin.f64 x)
(/.f64 -1 (-.f64 0 (/.f64 1 (sin.f64 x))))
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 8) 8)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) -2) -2)
(sin.f64 x)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) -2)
(sin.f64 x)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) 16)
(sin.f64 x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) -1) 2)
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (sin.f64 (neg.f64 x)))
(sin.f64 x)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
✓	0.4b	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 46 to 31 computations (32.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
0.0ms	x	@	0	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
0.0ms	x	@	inf	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
0.0ms	x	@	-inf	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
0.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`rational.json-1`
1914×	`rational.json-2`
1914×	`rational.json-4`
1914×	`rational.json-3`
658×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	88	80
2	218	80
3	521	80
4	1301	80
5	5174	80

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

Inputs
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))

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

simplify118.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1854×	`rational.json-simplify-35`
942×	`rational.json-simplify-51`
824×	`rational.json-simplify-49`
798×	`rational.json-simplify-61`
792×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	7981
1	1617	7765
2	5756	7723

Stop Event

1×	node limit

Counts

189 → 206

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(+.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(+.f64 0 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(-.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(/.f64 1/2 (/.f64 (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1)
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) 2) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 16/3)) 2)
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 2 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 (.f64 (sin.f64 x) 4) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (/.f64 x -2)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 -1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 4 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 32/3) 4)
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4) (/.f64 4 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 (.f64 (sin.f64 x) 8) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
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(/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 2 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) -1)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) -2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) -4)
(/.f64 (/.f64 (*.f64 4 (sin.f64 (/.f64 x -2))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) 4)
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) -1)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) -2)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) -4)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5))) (+.f64 (.f64 2/3 x) (.f64 17/30240 (pow.f64 x 7))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 5) 1/480)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))) (.f64 (pow.f64 x 7) 17/80640))
(+.f64 (.f64 (pow.f64 x 3) 1/48) (+.f64 (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 5) 1/480)) (.f64 (pow.f64 x 7) 17/80640)))
(+.f64 (.f64 x 1/4) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)) (.f64 (pow.f64 x 7) 17/80640)))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(+.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(+.f64 0 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(-.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 1/2 (/.f64 (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) 2) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 16/3)) 2)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 2 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 (.f64 (sin.f64 x) 4) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (/.f64 x -2)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (/.f64 x -2))))
(/.f64 -1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (/.f64 x -2))))
(/.f64 4 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 32/3) 4)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4) (/.f64 4 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 (.f64 (sin.f64 x) 8) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 (.f64 (sin.f64 x) -2) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 32/3)) 8)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4/3) (/.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x -2)) (sin.f64 x)) (/.f64 -1 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (/.f64 x -2))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 -1 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 32/3)) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 32/3))) 16)
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(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (/.f64 x -2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(/.f64 (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 4))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (/.f64 x -2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 8))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) -2))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (neg.f64 (.f64 (sin.f64 x) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) 8)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 8)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 2 (.f64 (sin.f64 x) 8)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x -2)) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) -1)
(/.f64 (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (.f64 4 (sin.f64 (/.f64 x -2))) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 2 (.f64 (sin.f64 x) -2)))
(/.f64 (.f64 (sin.f64 (/.f64 x -2)) (/.f64 (sin.f64 (.f64 x 1/2)) 1/4)) (*.f64 (sin.f64 x) -4))
(.f64 (sin.f64 (/.f64 x -2)) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/4) (*.f64 (sin.f64 x) -4)))
(.f64 (sin.f64 (/.f64 x -2)) (/.f64 -1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 4 (sin.f64 (/.f64 x -2))) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (sin.f64 (/.f64 x -2)) (/.f64 (sin.f64 (.f64 x 1/2)) 1/4)) (*.f64 (sin.f64 x) -4))
(.f64 (sin.f64 (/.f64 x -2)) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/4) (*.f64 (sin.f64 x) -4)))
(.f64 (sin.f64 (/.f64 x -2)) (/.f64 -1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 4 (sin.f64 (/.f64 x -2))) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (neg.f64 (*.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (sin.f64 (/.f64 x -2)) (/.f64 (sin.f64 (.f64 x 1/2)) 1/4)) (*.f64 (sin.f64 x) -4))
(.f64 (sin.f64 (/.f64 x -2)) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/4) (*.f64 (sin.f64 x) -4)))
(.f64 (sin.f64 (/.f64 x -2)) (/.f64 -1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 2 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -2) (/.f64 2 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 2 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) -1)
(/.f64 (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) -2)
(/.f64 (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) -4)
(/.f64 (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (*.f64 4 (sin.f64 (/.f64 x -2))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2)))) 4)
(/.f64 (*.f64 (sin.f64 (/.f64 x -2)) (/.f64 4 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))) 4)
(/.f64 (*.f64 (sin.f64 (/.f64 x -2)) 1) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x -2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) -1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) -2)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) -4)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.4b	(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
✓	15.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
0.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
0.0ms	x	@	0	(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational.json-simplify-35`
1034×	`exponential.json-3`
1034×	`rational.json-1`
1034×	`rational.json-2`
1034×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	107
1	88	107
2	230	107
3	659	107
4	2688	107

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs

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

(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

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

Outputs

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

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-61`
862×	`rational.json-simplify-35`
856×	`rational.json-simplify-44`
804×	`rational.json-simplify-47`
696×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	8278
1	1141	7516
2	6659	7382

Stop Event

1×	node limit

Counts

194 → 248

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 0)
(.f64 1/2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 2 (sin.f64 x)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 1 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
(.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 2)))
(.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))
(.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
(.f64 2 (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 1/2 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 2 (sin.f64 x)))) 1/2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 1 (.f64 (sin.f64 x) 4)))
(.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (/.f64 x -2))) (/.f64 -1 (sin.f64 x)))
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(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
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(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2))) (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)) 4)) 16)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)) 4))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2)))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2)))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1/2)
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (sin.f64 (/.f64 x -2)))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (fabs.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (/.f64 x -2))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (/.f64 x -2)))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (.f64 (sin.f64 (.f64 x 1/2)) 4))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) 4))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -2)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) 4))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 4))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -2)))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (.f64 (sin.f64 (.f64 x 1/2)) -2))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2)))))) (+.f64 (neg.f64 (fabs.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (neg.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (.f64 (sin.f64 (*.f64 x 1/2)) -2))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (-.f64 0 (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (-.f64 0 (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (.f64 1/2 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (*.f64 x 1/2)) -2))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2)))))) (fabs.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (fabs.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (fabs.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (fabs.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (fabs.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1/2)
(/.f64 (fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 1/2 (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 1)
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2))))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2))))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(fabs.f64 (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (/.f64 x -2))))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/4 x) (.f64 1/48 (pow.f64 x 3)))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/4 x) (*.f64 1/480 (pow.f64 x 5))))
(+.f64 (.f64 1/4 x) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 (.f64 1/4 x) (+.f64 (.f64 1/48 (pow.f64 x 3)) (*.f64 1/480 (pow.f64 x 5))))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/4 x) (.f64 1/480 (pow.f64 x 5))) (.f64 17/80640 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 1/4 x) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/48 (pow.f64 x 3)))) (.f64 17/80640 (pow.f64 x 7)))
(+.f64 (+.f64 (.f64 1/4 x) (.f64 1/48 (pow.f64 x 3))) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 17/80640 (pow.f64 x 7))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 (pow.f64 x 3) 1/18)))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 3) 1/18) (*.f64 (pow.f64 x 5) 1/180)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 (pow.f64 x 7) 17/30240))))
(+.f64 (+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 5) 1/180)) (+.f64 (.f64 (pow.f64 x 7) 17/30240) (.f64 (pow.f64 x 3) 1/18)))
(+.f64 (.f64 (pow.f64 x 5) 1/180) (+.f64 (+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18)) (.f64 (pow.f64 x 7) 17/30240)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
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(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) -2)) (/.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (*.f64 x 1/2))))) -2)
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) 4))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) 2)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) 2))) (.f64 4 (fabs.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (fabs.f64 (.f64 2 (sin.f64 (.f64 x 1/2)))) (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 4 (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 4))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -2)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 2 (sin.f64 (.f64 x 1/2))))))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))
(/.f64 (.f64 -1 (/.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))) -2)
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (.f64 (sin.f64 (.f64 x 1/2)) -2))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2)))))) (+.f64 (neg.f64 (fabs.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (.f64 (sin.f64 (*.f64 x 1/2)) -2))
(/.f64 (.f64 -1 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) -2)
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (-.f64 0 (fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))) (sin.f64 (.f64 x 1/2))) (.f64 2 (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) -2))))) (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) -2)))) (neg.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (-.f64 0 (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (.f64 1/2 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (*.f64 x 1/2)) -2))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 2 (sin.f64 (.f64 x 1/2))))))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))
(/.f64 (.f64 -1 (/.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))) -2)
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) -2)
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (sin.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (fabs.f64 (sin.f64 (.f64 x 1/2)))))) (fabs.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (fabs.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (fabs.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (fabs.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (fabs.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (fabs.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1/2)
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (fabs.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 1/2 (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2))))
(+.f64 -1 (-.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 (/.f64 x -2))))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2))))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(fabs.f64 (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (/.f64 x -2))))
(fabs.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (/.f64 x -2))))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
✓	0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
✓	0.4b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	0	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
0.0ms	x	@	inf	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`
1338×	`rational.json-3`
1328×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	88	87
2	225	87
3	583	87
4	1646	87
5	4506	87

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))

Outputs

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

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-35`
1402×	`rational.json-simplify-53`
1198×	`rational.json-simplify-61`
1010×	`rational.json-simplify-46`
916×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	295	4986
1	841	4974
2	2303	4974
3	5942	4974

Stop Event

1×	node limit

Counts

158 → 165

Calls

Call 1

Inputs
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(+.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 0)
(+.f64 0 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 0)
(-.f64 0 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 16/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 1)
(.f64 1 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 2 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)))
(.f64 2 (.f64 (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (sin.f64 (.f64 x 1/2)))))
(.f64 2 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (sin.f64 x))))
(.f64 16/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))))
(.f64 16/3 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 16/3 (sin.f64 x))) 1/2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) (/.f64 1/2 (.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (/.f64 -1 (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (sin.f64 x)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 2) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 8/3 (sin.f64 x)) 2))
(.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))) (/.f64 16/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))) 16/3)
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 (.f64 8/3 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) 16/3))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (sin.f64 (.f64 x 1/2)))) 16/3)
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4/3) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) 2)
(.f64 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (sin.f64 x)) -1)
(.f64 (/.f64 16/3 (sin.f64 x)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)) 2)
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 (.f64 x 1/2)) 32/3))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (sin.f64 (.f64 x 1/2)))) 2)
(.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (sin.f64 x))) 2)
(pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1)
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (sin.f64 x)))
(+.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 0)
(+.f64 0 (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(+.f64 -1 (-.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) -1))
(+.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 2))
(+.f64 (-.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) -1) -1)
(-.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 0)
(-.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) 2)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) 4)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) -1)
(/.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3) 4) 8)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3)) -2)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) 4)) 16)
(pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 0)
(/.f64 8/3 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 2 (.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))))
(/.f64 16/3 (.f64 2 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 16/3 (sin.f64 x))) (/.f64 2 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 16/3 (sin.f64 x))) (.f64 2 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) (.f64 2 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 16/3 (sin.f64 x)))) 2)
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 4 (.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 32/3)) 4)
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 32/3) (.f64 2 (/.f64 2 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 2 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) -8/3))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (.f64 2 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 16/3)))
(/.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) 4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1/2 (sin.f64 x))) (/.f64 3/16 (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3)) (.f64 2 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3)) (neg.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 x 1/2)))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 2 (.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 4)))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 32/3))) 8)
(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 4)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 32/3)))) 16)
(/.f64 (.f64 2 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))) 8)
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1/2) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 3/8 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)

Outputs
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 4/3 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 5/288 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 5/288 (pow.f64 x 4)) (.f64 61/34560 (pow.f64 x 6))) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (+.f64 4/3 (.f64 1/6 (pow.f64 x 2))) (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (*.f64 1/1440 (pow.f64 x 5))))
(+.f64 (.f64 -1/18 (pow.f64 x 3)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 4/3 x)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (.f64 -1/241920 (pow.f64 x 7)))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (.f64 1/1440 (pow.f64 x 5)))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/241920 (pow.f64 x 7)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 3) 1/18) (*.f64 (pow.f64 x 5) 1/180)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
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(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.4b	(/.f64 8/3 (sin.f64 x))
✓	15.5b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 40 to 28 computations (30% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 8/3 (sin.f64 x))
0.0ms	x	@	inf	(/.f64 8/3 (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 8/3 (sin.f64 x))
0.0ms	x	@	0	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
0.0ms	x	@	inf	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational.json-1`
1578×	`rational.json-2`
1578×	`rational.json-4`
1578×	`rational.json-3`
1570×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	87	54
2	212	54
3	533	54
4	1758	54
5	5495	54

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))

Outputs

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(sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 0 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) (*.f64 (sin.f64 x) 3/8))) (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 4 (*.f64 (sin.f64 x) 3/4))) (-.f64 0 (*.f64 2 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 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1/2))))) (neg.f64 (*.f64 (sin.f64 x) 3/8)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 8/3 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 8/3 (*.f64 (sin.f64 x) 2)) (/.f64 8/3 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8/3 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 8/3 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 8/3 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))))

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational.json-simplify-43`
950×	`rational.json-simplify-2`
820×	`rational.json-simplify-41`
726×	`rational.json-simplify-50`
650×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3834
1	775	3762
2	2607	3738
3	5274	3738

Stop Event

1×	node limit

Counts

94 → 110

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 0)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) -8/3))
(/.f64 8/3 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 2))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 1)
(/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(/.f64 16/3 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(/.f64 16/3 (+.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 2 (.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(/.f64 2 (+.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 2) (.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 32/3 (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) 2))) 2)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (neg.f64 (.f64 (sin.f64 x) 3/8)))
(/.f64 4 (+.f64 (.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (*.f64 (/.f64 8/3 (sin.f64 x)) 4)) 4)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 2 (.f64 (sin.f64 x) 3/4)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (.f64 (sin.f64 x) 3/8) 4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (fabs.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (+.f64 (neg.f64 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (sin.f64 x) 3/8))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (+.f64 (.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4))) (+.f64 (.f64 (.f64 (sin.f64 x) 3/8) 4) (.f64 (*.f64 (sin.f64 x) 3/8) 4)))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 2 (fabs.f64 (sin.f64 (.f64 x 1/2))))) (+.f64 (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)) (.f64 (fabs.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8)) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 8/3 (sin.f64 x)) 4))) 8)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 4 (.f64 (sin.f64 x) 3/4)) (.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/4)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (*.f64 (sin.f64 x) 3/8)) 4)
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8)) (fabs.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3/8)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 8/3 (sin.f64 x)) 4))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 8/3 (sin.f64 x)) 4)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (+.f64 (/.f64 4 (.f64 (sin.f64 x) 3/4)) (/.f64 4 (.f64 (sin.f64 x) 3/4))) (.f64 2 (.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/4)) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/4))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 x) 3/8))) 8)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8))) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (.f64 2 (fabs.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x))) 3/4)
(/.f64 (neg.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 0 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) -1)
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (/.f64 4 (.f64 (sin.f64 x) 3/4))) (-.f64 0 (.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/4))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (neg.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 1)
(+.f64 (/.f64 8/3 (sin.f64 x)) 0)
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(+.f64 (/.f64 8/3 (.f64 (sin.f64 x) 2)) (/.f64 8/3 (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 8/3 (sin.f64 x)) 0)
(.f64 1/2 (.f64 (/.f64 8/3 (sin.f64 x)) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 2 (/.f64 (/.f64 8/3 (sin.f64 x)) 2))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 2) 1/2)
(*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) 2) 2)
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5))) (.f64 17/30240 (pow.f64 x 7))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5))) (+.f64 (.f64 2/3 x) (.f64 17/30240 (pow.f64 x 7))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (.f64 x 4/9) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 (pow.f64 x 3) 7/135)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(+.f64 (.f64 x 4/9) (+.f64 (+.f64 (.f64 8/3 (/.f64 1 x)) (.f64 (pow.f64 x 3) 7/135)) (.f64 (pow.f64 x 5) 31/5670)))
(+.f64 (.f64 x 4/9) (+.f64 (.f64 8/3 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 x 5) 31/5670) (.f64 (pow.f64 x 3) 7/135))))
(+.f64 (.f64 x 4/9) (+.f64 (.f64 (pow.f64 x 3) 7/135) (+.f64 (.f64 8/3 (/.f64 1 x)) (.f64 (pow.f64 x 5) 31/5670))))
(+.f64 (.f64 8/3 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 x 3) 7/135) (+.f64 (.f64 x 4/9) (.f64 (pow.f64 x 5) 31/5670))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 0)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 0)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) -8/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 8/3 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 2))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) 2))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 8/3 (.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 4))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) 2))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(/.f64 8/3 (.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 16/3 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 16/3 (+.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 2 (.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
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(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 x) 3/8))) 8)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8))) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (.f64 2 (fabs.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 2 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x))) 3/4)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 0 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) -1)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 4 (.f64 (sin.f64 x) 3/4))) (-.f64 0 (.f64 2 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/4))) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 x) 3/8))) (neg.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (neg.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(+.f64 (/.f64 8/3 (sin.f64 x)) 0)
(/.f64 8/3 (sin.f64 x))
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))
(+.f64 (/.f64 8/3 (.f64 (sin.f64 x) 2)) (/.f64 8/3 (.f64 (sin.f64 x) 2)))
(/.f64 8/3 (sin.f64 x))
(-.f64 (/.f64 8/3 (sin.f64 x)) 0)
(/.f64 8/3 (sin.f64 x))
(.f64 1/2 (.f64 (/.f64 8/3 (sin.f64 x)) 2))
(/.f64 8/3 (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 8/3 (sin.f64 x))
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 8/3 (sin.f64 x)) 2))
(/.f64 8/3 (sin.f64 x))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 2) 1/2)
(/.f64 8/3 (sin.f64 x))
(*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) 2) 2)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 8/3 (sin.f64 x))

eval603.0ms (4.1%)

Compiler: Compiled 31259 to 24205 computations (22.6% saved)

prune680.0ms (4.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1316	27	1343
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	1320	29	1349

Error

0.0b

Counts

1349 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	15.6b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3/8)
	15.7b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
	0.5b	(/.f64 (/.f64 (sin.f64 (/.f64 x -2)) (sin.f64 x)) (/.f64 -1 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
	15.6b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
▶	0.3b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
	16.3b	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
▶	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
	15.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))
	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
	32.6b	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 (pow.f64 x 7) 17/30240))))
	32.6b	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
	32.7b	(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
▶	15.7b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	15.7b	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
	47.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
	47.7b	(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
	28.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (+.f64 (-.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) -1) -1) (sin.f64 x)))
✓	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
▶	32.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
	32.5b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
▶	32.3b	(*.f64 x 2/3)
	29.8b	(.f64 8/3 (/.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (/.f64 x -2))))) (sin.f64 x)))
	47.6b	(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
	32.6b	(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
	32.7b	(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
✓	0.5b	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
	15.7b	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))))

Compiler

Compiled 844 to 690 computations (18.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
✓	0.2b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
✓	0.2b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

Compiler

Compiled 40 to 28 computations (30% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
1.0ms	x	@	0	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`exponential.json-3`
1450×	`rational.json-1`
1450×	`rational.json-2`
1450×	`rational.json-4`
1450×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	96	81
2	301	81
3	1050	81
4	4461	81

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)

Outputs

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

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simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-51`
1060×	`rational.json-simplify-61`
1012×	`rational.json-simplify-44`
950×	`rational.json-simplify-49`
936×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	264	4894
1	534	4882
2	1406	4882
3	6470	4882

Stop Event

1×	node limit

Counts

156 → 163

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(+.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 0)
(+.f64 0 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(+.f64 (.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 (.f64 x 1/2)))))
(-.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 0)
(-.f64 0 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 x) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) 2) (.f64 1/2 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2))) 1/2)
(.f64 2 (.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 4) 1/4)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) 4)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))) -1)
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) 2))
(.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 (*.f64 x 1/2)))) 2)
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 2 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) 2) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 1/4 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 x) 4))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(+.f64 0 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(-.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(.f64 1/2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 16/3)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (.f64 1/2 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 8/3)
(.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2)))))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/4)))
(.f64 2 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (/.f64 3/2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 16/3)) 1/2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 4)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) 2)) 4/3)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (/.f64 1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))))
(.f64 16/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) 2)))
(.f64 (.f64 1/2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/4)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 (/.f64 1 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))) -1)
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 8/3 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))) 16/3)
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2)))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4)) (.f64 (sin.f64 (*.f64 x 1/2)) 32/3))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/4)) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 (/.f64 1 (/.f64 3/2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 4))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) (/.f64 2 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1)
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 0)
(.f64 1/2 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3) 1/2)
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4))
(.f64 2 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 2))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) 2/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 32/3) 1/4)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 16/3 (/.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 2) 16/3)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) 2)
(.f64 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 2) 2)
(.f64 1/4 (.f64 (sin.f64 (*.f64 x 1/2)) 32/3))
(.f64 2/3 (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1)

Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (+.f64 2 (.f64 -1/4 (pow.f64 x 2))) (.f64 1/192 (pow.f64 x 4)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 1/192 (pow.f64 x 4)) 2))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 2 (.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(+.f64 2 (+.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/23040 (pow.f64 x 6))) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/23040 (pow.f64 x 6)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 x 2/3) (+.f64 (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
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(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))) 16/3)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2)))) 2)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 4)) (.f64 (sin.f64 (*.f64 x 1/2)) 32/3))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/4)) 2)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 3/2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 4))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2) 2)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) (/.f64 2 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 0)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 0)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) 4/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3) 1/2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 2 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 2))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) 2/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 32/3) 1/4)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 16/3 (/.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 2) 16/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) 2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 2) 2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 x 1/2)) 32/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(.f64 2/3 (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (sin.f64 (.f64 x -1/2)))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x 2/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 x 2/3)
0.0ms	x	@	0	(*.f64 x 2/3)
0.0ms	x	@	-inf	(*.f64 x 2/3)

rewrite268.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2280×	`rational.json-simplify-35`
2030×	`rational.json-simplify-2`
1526×	`rational.json-simplify-1`
1332×	`rational.json-1`
1332×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	33	7
2	78	7
3	158	7
4	278	7
5	582	7
6	1366	7
7	2616	7
8	3818	7
9	4493	7
10	5575	7
11	6306	7
12	6306	7
13	6676	7
14	7247	7
15	7840	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(*.f64 x 2/3)

Outputs

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

simplify926.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

5106×	`rational.json-simplify-49`
3252×	`rational.json-simplify-35`
1338×	`rational.json-simplify-2`
1056×	`rational.json-simplify-1`
990×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	196
1	123	196
2	219	196
3	542	196
4	1306	196
5	2880	196
6	3869	196
7	4035	196
8	4105	196
9	4170	196
10	4231	196
11	4291	196
12	4400	196
13	4459	196
14	4519	196
15	4579	196
16	4639	196
17	4699	196
18	4759	196
19	4819	196
20	4879	196
21	4879	196
22	4879	196
23	4939	196
24	4999	196
25	5059	196
26	5119	196
27	5179	196
28	5239	196
29	5299	196
30	5359	196
31	5419	196
32	5479	196
33	5539	196
34	5599	196
35	5659	196

Stop Event

1×	node limit

Counts

28 → 17

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.3b	(/.f64 (*.f64 4/3 x) (sin.f64 x))
✓	0.3b	(*.f64 4/3 x)
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 4/3 x)
1.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
1.0ms	x	@	-inf	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
0.0ms	x	@	-inf	(/.f64 (*.f64 4/3 x) (sin.f64 x))
0.0ms	x	@	inf	(/.f64 (*.f64 4/3 x) (sin.f64 x))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`rational.json-simplify-2`
1232×	`rational.json-1`
1232×	`rational.json-2`
1232×	`rational.json-4`
1232×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	88	57
2	227	57
3	597	57
4	1751	57
5	4407	57

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(*.f64 4/3 x)
(/.f64 (*.f64 4/3 x) (sin.f64 x))

Outputs

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

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

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

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational.json-simplify-46`
1082×	`rational.json-simplify-2`
1068×	`rational.json-simplify-43`
906×	`rational.json-simplify-1`
702×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	332	4071
1	970	4035
2	2708	4035
3	5379	4035
4	7204	4035

Stop Event

1×	node limit

Counts

169 → 179

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 5/576 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 2/9 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (.f64 7/270 (pow.f64 x 4))))
(+.f64 (.f64 31/11340 (pow.f64 x 6)) (+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 7/270 (pow.f64 x 4)))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 0)
(+.f64 0 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))))
(+.f64 (.f64 (.f64 x 1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/4))) (.f64 (.f64 x 1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/4))))
(+.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 2) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 2))
(-.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 0)
(/.f64 x (/.f64 (.f64 (sin.f64 x) 3/4) (sin.f64 (.f64 x 1/2))))
(/.f64 x (/.f64 (/.f64 (.f64 (sin.f64 x) 3/2) (sin.f64 (.f64 x 1/2))) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x 4/3) (-.f64 0 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 1)
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 x 8/3) (.f64 2 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 2 (/.f64 (/.f64 (.f64 (sin.f64 x) 3/2) x) (sin.f64 (.f64 x 1/2))))
(/.f64 2 (.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 8/3 (.f64 2 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (.f64 2 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 x 16/3) (.f64 2 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 8/3))) 2)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (*.f64 (sin.f64 x) 3/2) x))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (sin.f64 (*.f64 x 1/2)))))
(/.f64 -4/3 (-.f64 0 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 x -4/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x -4/3) (-.f64 0 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 -1 (-.f64 0 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) (sin.f64 (.f64 x 1/2)))))
(/.f64 4 (.f64 2 (/.f64 (/.f64 (.f64 (sin.f64 x) 3/2) x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) 16/3)) 4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) 16/3) (.f64 2 (/.f64 2 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/2) x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) 4))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/4 x))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(/.f64 (neg.f64 (.f64 x 8/3)) (.f64 2 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (.f64 x 8/3)) (-.f64 0 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 (.f64 (sin.f64 x) 3/4) (sin.f64 (.f64 x 1/2)))))
(/.f64 -2 (-.f64 0 (/.f64 (/.f64 (.f64 (sin.f64 x) 3/2) x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 x (sin.f64 x)) 16/3))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 2 (.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) 4)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (*.f64 (sin.f64 x) (/.f64 3/4 x))) 4)
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) 2))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 x))))
(/.f64 (neg.f64 (/.f64 x (.f64 (sin.f64 x) 3/4))) (-.f64 0 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (*.f64 2 (/.f64 3/4 x)))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 x 1/2)))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) 16/3)))) 16)
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 (sin.f64 x) (/.f64 3/4 x)))) 8)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 x) 3/2) x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4)) (-.f64 0 (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/2) x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4)) (-.f64 0 (.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) 4)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 (/.f64 3/4 x)))
(/.f64 (neg.f64 (/.f64 (.f64 x 8/3) (sin.f64 x))) (-.f64 0 (/.f64 2 (sin.f64 (.f64 x 1/2)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (*.f64 (sin.f64 x) 3/2) x))
(/.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) (-.f64 0 (/.f64 (sin.f64 (neg.f64 x)) -4/3)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (/.f64 3/4 x))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 1)
(+.f64 (*.f64 x 4/3) 0)
(+.f64 0 (*.f64 x 4/3))
(+.f64 -1 (-.f64 (*.f64 x 4/3) -1))
(+.f64 (.f64 (.f64 x 1/2) 4/3) (.f64 (.f64 x 1/2) 4/3))
(+.f64 (/.f64 (.f64 x 4/3) 2) (/.f64 (.f64 x 4/3) 2))
(+.f64 (-.f64 (*.f64 x 4/3) -1) -1)
(-.f64 (*.f64 x 4/3) 0)
(-.f64 0 (*.f64 x -4/3))
(/.f64 (*.f64 x 4/3) 1)
(/.f64 (*.f64 x 8/3) 2)
(/.f64 (*.f64 x 16/3) 4)
(/.f64 (*.f64 x -4/3) -1)
(/.f64 (.f64 8/3 (.f64 x 4)) 8)
(/.f64 (neg.f64 (*.f64 x 8/3)) -2)
(/.f64 (.f64 2 (.f64 8/3 (*.f64 x 4))) 16)
(pow.f64 (*.f64 x 4/3) 1)
(neg.f64 (*.f64 x -4/3))
(+.f64 (/.f64 x (*.f64 (sin.f64 x) 3/4)) 0)
(+.f64 0 (/.f64 x (*.f64 (sin.f64 x) 3/4)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x -4/3) (sin.f64 x))))
(+.f64 (/.f64 (.f64 x 4/3) (.f64 (sin.f64 x) 2)) (/.f64 (.f64 x 4/3) (.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 2) (/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 2))
(+.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (/.f64 x (.f64 (sin.f64 x) 3/2)))
(-.f64 (/.f64 x (*.f64 (sin.f64 x) 3/4)) 0)
(-.f64 0 (/.f64 (*.f64 x -4/3) (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 x (.f64 4/3 (/.f64 1 (sin.f64 x))))
(.f64 1/2 (/.f64 (.f64 x 8/3) (sin.f64 x)))
(.f64 (.f64 x 1/2) (*.f64 (/.f64 4/3 (sin.f64 x)) 2))
(.f64 (.f64 x 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 x 1/2) (/.f64 2 (*.f64 (sin.f64 x) 3/4)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(.f64 (.f64 x 4/3) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 1)
(.f64 1 (/.f64 x (.f64 (sin.f64 x) 3/4)))
(.f64 (.f64 x 8/3) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 x 8/3) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 4/3 (sin.f64 x)) x)
(.f64 2 (/.f64 (.f64 x 4/3) (*.f64 (sin.f64 x) 2)))
(.f64 2 (/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 2))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) 3/2)))
(.f64 2 (.f64 (*.f64 x 4/3) (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 x (/.f64 2/3 (sin.f64 x))))
(.f64 8/3 (.f64 x (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) 1/2)
(.f64 (.f64 x 16/3) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(*.f64 (+.f64 x x) (/.f64 2/3 (sin.f64 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sin.f64 x)) 2/3))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3))
(.f64 (.f64 x -4/3) (/.f64 -1 (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 x -4/3) (sin.f64 x)))
(.f64 4 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1/2 (.f64 x 1/2))))
(.f64 4 (.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 x 4)))
(.f64 (.f64 x 4) (*.f64 (/.f64 4/3 (sin.f64 x)) 1/4))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 2) (*.f64 x 1/2))
(.f64 (.f64 x (/.f64 2 (sin.f64 x))) 2/3)
(.f64 2/3 (.f64 x (/.f64 2 (sin.f64 x))))
(.f64 (.f64 x (/.f64 1/2 (sin.f64 x))) 8/3)
(*.f64 (/.f64 2/3 (sin.f64 x)) (+.f64 x x))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 x 8/3))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (.f64 (.f64 x 1/2) 4/3))
(.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) x)
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 x 8/3))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2/3) (+.f64 x x))
(.f64 (.f64 (.f64 x 1/2) 4/3) (.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (.f64 x -4/3) (sin.f64 x)) -1)
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 x 1/2))
(.f64 (/.f64 (.f64 x 4/3) (*.f64 (sin.f64 x) 2)) 2)
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 2)) (*.f64 x 16/3))
(.f64 (/.f64 2 (.f64 (sin.f64 x) 3/4)) (*.f64 x 1/2))
(.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 2) 2)
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 x -4/3))
(.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) 2)
(.f64 (.f64 1/2 (/.f64 4/3 (sin.f64 x))) (+.f64 x x))
(.f64 (.f64 (*.f64 x 4/3) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (.f64 x (/.f64 2/3 (sin.f64 x))) 2)
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1/2 (.f64 x 1/2))) 4)
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 x 4)) 4)
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 1/4) (*.f64 x 4))
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) 3/4)) 1)
(neg.f64 (/.f64 (*.f64 x -4/3) (sin.f64 x)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 5/576 (pow.f64 x 5)) (*.f64 1/12 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/12 (pow.f64 x 3)) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 5/576 (pow.f64 x 5)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 5/576 (pow.f64 x 5)) (.f64 61/69120 (pow.f64 x 7))) (.f64 1/12 (pow.f64 x 3))))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 5/576 (pow.f64 x 5)) (.f64 61/69120 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 2/3 x) (.f64 1/12 (pow.f64 x 3))) (+.f64 (.f64 5/576 (pow.f64 x 5)) (.f64 61/69120 (pow.f64 x 7))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 4/3 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
4/3
(+.f64 4/3 (*.f64 2/9 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (.f64 7/270 (pow.f64 x 4))))
(+.f64 (.f64 31/11340 (pow.f64 x 6)) (+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 7/270 (pow.f64 x 4)))))
(+.f64 4/3 (+.f64 (+.f64 (.f64 2/9 (pow.f64 x 2)) (.f64 7/270 (pow.f64 x 4))) (*.f64 31/11340 (pow.f64 x 6))))
(+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 7/270 (pow.f64 x 4)) (*.f64 31/11340 (pow.f64 x 6)))))
(+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 7/270 (pow.f64 x 4)) (+.f64 4/3 (*.f64 31/11340 (pow.f64 x 6)))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 0)
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(+.f64 0 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(+.f64 (.f64 (.f64 x 1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/4))) (.f64 (.f64 x 1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/4))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(+.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 2) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(-.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 0)
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 x (/.f64 (.f64 (sin.f64 x) 3/4) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 x (/.f64 (/.f64 (.f64 (sin.f64 x) 3/2) (sin.f64 (.f64 x 1/2))) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x 4/3) (-.f64 0 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x 8/3) (.f64 2 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 2 (/.f64 (/.f64 (.f64 (sin.f64 x) 3/2) x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 2 (.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 8/3 (.f64 2 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (.f64 2 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x 16/3) (.f64 2 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 8/3))) 2)
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (*.f64 (sin.f64 x) 3/2) x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) 3/4)
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 x (/.f64 4/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (sin.f64 (*.f64 x 1/2)))))
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(+.f64 (/.f64 (/.f64 x 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (/.f64 x 2) (.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (/.f64 x (.f64 (sin.f64 x) 3/2)))
(+.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (/.f64 x (.f64 (sin.f64 x) 3/2)))
(+.f64 (/.f64 (/.f64 x 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (/.f64 x 2) (.f64 (sin.f64 x) 3/4)))
(-.f64 (/.f64 x (*.f64 (sin.f64 x) 3/4)) 0)
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(-.f64 0 (/.f64 (*.f64 x -4/3) (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(.f64 x (.f64 4/3 (/.f64 1 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 x 8/3) (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x 1/2) (*.f64 (/.f64 4/3 (sin.f64 x)) 2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x 1/2) (/.f64 2 (*.f64 (sin.f64 x) 3/4)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 1)
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(.f64 1 (/.f64 x (.f64 (sin.f64 x) 3/4)))
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(.f64 (.f64 x 8/3) (/.f64 1/2 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x 8/3) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) x)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 2 (/.f64 (.f64 x 4/3) (*.f64 (sin.f64 x) 2)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 2 (/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 2))
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(.f64 2 (/.f64 x (.f64 (sin.f64 x) 3/2)))
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(.f64 2 (.f64 (*.f64 x 4/3) (/.f64 1/2 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 2 (.f64 x (/.f64 2/3 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 8/3 (.f64 x (/.f64 1/2 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) 1/2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x 16/3) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(.f64 x (.f64 16/3 (/.f64 1/2 (*.f64 (sin.f64 x) 2))))
(.f64 x (.f64 16/3 (/.f64 1/4 (sin.f64 x))))
(*.f64 (+.f64 x x) (/.f64 2/3 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sin.f64 x)) 2/3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) 4/3)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x -4/3) (/.f64 -1 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 x -4/3) (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 4 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1/2 (.f64 x 1/2))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 4 (.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 x 4)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 4 (/.f64 x 4)))
(.f64 (.f64 x 4) (*.f64 (/.f64 4/3 (sin.f64 x)) 1/4))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 2) (*.f64 x 1/2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x (/.f64 2 (sin.f64 x))) 2/3)
(.f64 2/3 (.f64 x (/.f64 2 (sin.f64 x))))
(.f64 2/3 (.f64 x (/.f64 2 (sin.f64 x))))
(.f64 (.f64 x (/.f64 1/2 (sin.f64 x))) 8/3)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 2/3 (sin.f64 x)) (+.f64 x x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 x 8/3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (.f64 (.f64 x 1/2) 4/3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) x)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 x 8/3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2/3) (+.f64 x x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (.f64 x 1/2) 4/3) (.f64 2 (/.f64 1 (sin.f64 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 (.f64 x -4/3) (sin.f64 x)) -1)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 x 1/2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 (.f64 x 4/3) (*.f64 (sin.f64 x) 2)) 2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 2)) (*.f64 x 16/3))
(.f64 x (.f64 16/3 (/.f64 1/2 (*.f64 (sin.f64 x) 2))))
(.f64 x (.f64 16/3 (/.f64 1/4 (sin.f64 x))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) 3/4)) (*.f64 x 1/2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) 3/4)) 2) 2)
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 x -4/3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) 2)
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(.f64 (.f64 1/2 (/.f64 4/3 (sin.f64 x))) (+.f64 x x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (*.f64 x 4/3) (/.f64 1/2 (sin.f64 x))) 2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x (/.f64 2/3 (sin.f64 x))) 2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1/2 (.f64 x 1/2))) 4)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 x 4)) 4)
(.f64 4 (.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 x 4)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 4 (/.f64 x 4)))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 1/4) (*.f64 x 4))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) 3/4)) 1)
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(neg.f64 (/.f64 (*.f64 x -4/3) (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 4/3 (sin.f64 x)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.3b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
	0.4b	(/.f64 8/3 (sin.f64 x))
✓	15.5b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
0.0ms	x	@	inf	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
0.0ms	x	@	-inf	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
0.0ms	x	@	0	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
0.0ms	x	@	inf	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`rational.json-1`
1678×	`rational.json-2`
1254×	`rational.json-simplify-35`
880×	`rational.json-4`
880×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	92	50
2	209	50
3	453	50
4	978	50
5	2895	50
6	7291	50

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/64)) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16/3 (/.f64 (*.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 32/3 (*.f64 2 (/.f64 (*.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 32/3 (/.f64 (*.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 16/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8/3 (-.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 64/3 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (*.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 64/3 (+.f64 (*.f64 2 (/.f64 (*.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 2 (/.f64 (*.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16/3 (-.f64 0 (/.f64 (*.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4) (*.f64 (sin.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 (*.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (*.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8) (*.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/64)) (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8)) (*.f64 (sin.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (pow.f64 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1/2)) 2)))) (*.f64 (sin.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (-.f64 0 (*.f64 (sin.f64 x) 3/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (*.f64 (sin.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (neg.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)))))

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

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1490×	`rational.json-simplify-53`
1436×	`rational.json-simplify-35`
968×	`rational.json-simplify-2`
752×	`rational.json-simplify-41`
682×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	240	3176
1	625	3144
2	2136	3144
3	3807	3144
4	5454	3144
5	6654	3144

Stop Event

1×	node limit

Counts

108 → 117

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(/.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/64)) (.f64 (sin.f64 x) 3/8)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 16/3 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 32/3 (.f64 2 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 32/3 (/.f64 (.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 16/3 (sin.f64 x))) 2)
(/.f64 -8/3 (-.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 4 (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 64/3 (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 64/3 (+.f64 (.f64 2 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(/.f64 -16/3 (-.f64 0 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (*.f64 (sin.f64 x) 3/2))
(/.f64 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 4)
(/.f64 -1 (-.f64 0 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 8 (+.f64 (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(/.f64 8 (+.f64 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (*.f64 (sin.f64 x) 3))
(/.f64 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 8)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/16))
(/.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/64)) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8)) (.f64 (sin.f64 x) 6))
(/.f64 -2 (-.f64 0 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 (.f64 2 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 16)
(/.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3/4)
(/.f64 (.f64 2 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 3/4)
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (*.f64 (sin.f64 x) 3/8)) 8)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x))) 3/16)
(/.f64 (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4)) (-.f64 0 (*.f64 (sin.f64 x) 3/2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sin.f64 x) 3/8))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x)))) 3/8)
(/.f64 (+.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) (/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 3/2)
(/.f64 (+.f64 (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (+.f64 (neg.f64 (.f64 (sin.f64 x) 3/4)) (neg.f64 (.f64 (sin.f64 x) 3/4))))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (.f64 (sin.f64 x) 3/8))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) (.f64 2 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))) 32)
(/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) (.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 3/2)
(/.f64 (+.f64 (.f64 2 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (+.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 x) 3/8))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 3/8)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8)) (*.f64 2 (sin.f64 x)))
(/.f64 (+.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (neg.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (*.f64 (sin.f64 x) 3/16)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (neg.f64 (.f64 (sin.f64 x) 3/8)))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(+.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(+.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(-.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 0)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 2 (.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(.f64 1 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1/2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 4 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1/4))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4))
(.f64 (.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 4) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1/4) 4)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) 2) 1/16)
(.f64 (pow.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 2) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) 4)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8)) (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8))) 32)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5))) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 17/30240 (pow.f64 x 7))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (.f64 1/1440 (pow.f64 x 6)))) (.f64 -1/80640 (pow.f64 x 8)))
(+.f64 (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 2)))) (.f64 -1/80640 (pow.f64 x 8)))
(+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/1440 (pow.f64 x 6))) (.f64 -1/80640 (pow.f64 x 8))))
(+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/1440 (pow.f64 x 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/64)) (.f64 (sin.f64 x) 3/8)))
(.f64 (sin.f64 x) (/.f64 3/8 (.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 x) 9/64) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 x) 9/64) (.f64 (sin.f64 x) 3/8))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/32))))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 16/3 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 32/3 (.f64 2 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 32/3 (/.f64 (.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/4))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 16/3 (sin.f64 x))) 2)
(.f64 (/.f64 16/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (/.f64 16/3 (sin.f64 x)) 2))
(.f64 1/2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 16/3 (sin.f64 x))))
(/.f64 -8/3 (-.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 4 (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 64/3 (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 64/3 (+.f64 (.f64 2 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 -16/3 (-.f64 0 (/.f64 (.f64 2 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (*.f64 (sin.f64 x) 3/2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 4)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 -1 (-.f64 0 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8 (+.f64 (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8 (+.f64 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (*.f64 (sin.f64 x) 3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 8)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/16))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/64)) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/64)) (.f64 (sin.f64 x) 3/8)))
(.f64 (sin.f64 x) (/.f64 3/8 (.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 x) 9/64) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 x) 9/64) (.f64 (sin.f64 x) 3/8))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/32))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (.f64 (sin.f64 x) 3/8)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8)) (.f64 (sin.f64 x) 6))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 -2 (-.f64 0 (/.f64 (.f64 (sin.f64 x) 3/4) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 16)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3/4)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 2 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 3/8))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 3/4)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (*.f64 (sin.f64 x) 3/8)) 8)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x))) 3/16)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4)) (-.f64 0 (*.f64 (sin.f64 x) 3/2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sin.f64 x) 3/8))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) 3/8))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x)))) 3/8)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) (/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 3/2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (+.f64 (neg.f64 (.f64 (sin.f64 x) 3/4)) (neg.f64 (.f64 (sin.f64 x) 3/4))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) (.f64 (sin.f64 x) 3/8))) 16)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) (.f64 2 (.f64 2 (/.f64 32/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))) 32)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) (.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 3/2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 2 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (+.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 x) 3/8))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 3/8)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8)) (*.f64 2 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (*.f64 (sin.f64 x) 3/4))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (-.f64 0 (*.f64 (sin.f64 x) 3/16)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (*.f64 (sin.f64 x) 3/4))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)) (neg.f64 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (neg.f64 (.f64 (sin.f64 x) 3/8)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 0)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(+.f64 0 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(+.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(-.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 0)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 2 (.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1/2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 4 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 4 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1/4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4) 1/4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (.f64 1/2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 16 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 4) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1/4) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) 2) 1/16)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8) 8)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8)) 16)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8)) (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8))) 32)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
✓	0.1b	(/.f64 2 (sin.f64 x))
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
✓	0.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 2 (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 2 (sin.f64 x))
0.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`exponential.json-3`
1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-4`
1522×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	104
1	109	104
2	313	98
3	1034	98
4	4591	98

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 4/3) (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 2 (/.f64 (/.f64 (sin.f64 x) 2/3) (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 1/2 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 4 (.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (-.f64 0 (.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 1/2 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sin.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3/2 (sin.f64 (.f64 x 1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 3/2 (sin.f64 (.f64 x 1/2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (/.f64 3/2 (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1)))))

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-51`
1234×	`rational.json-simplify-61`
1020×	`rational.json-simplify-1`
964×	`rational.json-simplify-43`
954×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	4783
1	626	4783
2	1537	4783
3	4920	4783
4	7610	4783

Stop Event

1×	node limit

Counts

145 → 156

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 5/384 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 61/46080 (pow.f64 x 6)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 2 x)
(+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 31/7560 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))))
(/.f64 3/2 x)
(+.f64 (.f64 1/16 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (.f64 31/645120 (pow.f64 x 5)) (+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (.f64 3/2 (/.f64 1 x)))))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 0)
(.f64 1/2 (.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 (sin.f64 (.f64 x 1/2)))))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 4/3) (sin.f64 (*.f64 x 1/2)))))
(.f64 2 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)) 2))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)) 1)
(.f64 1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 4/3)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 2 (/.f64 (/.f64 (sin.f64 x) 2/3) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 2/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 2 (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x))) 1/2)
(.f64 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 1 (.f64 2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (.f64 (sin.f64 x) (/.f64 3/2 (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) 2/3) (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 2 (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2/3)))
(.f64 (.f64 2 (/.f64 2 (sin.f64 x))) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (.f64 1/2 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 2 (sin.f64 x)))) (/.f64 1 (neg.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 2 (sin.f64 x)))) (/.f64 1 (/.f64 -3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (neg.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 -3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (*.f64 x 1/2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 2 (/.f64 8/3 (sin.f64 x)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2/3)) (.f64 2 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2/3) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) (sin.f64 x)))
(.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 2 (/.f64 8/3 (sin.f64 x)))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 1/2 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 4/3)) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (*.f64 2 (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (neg.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) -1)
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 -3/4 (sin.f64 (.f64 x 1/2)))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (*.f64 x 1/2)))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 (.f64 x 1/2)))) 4/3)
(.f64 (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 1/2 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))) 4/3)
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 (sin.f64 (.f64 x 1/2)))) 2)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 4/3) (sin.f64 (*.f64 x 1/2)))) 2)
(.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))) (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 4)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 3/2 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 (/.f64 2 (/.f64 (/.f64 (sin.f64 x) 2/3) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 x) 2/3) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) 4))
(.f64 (/.f64 1 (neg.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 2 (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 -3/4 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 2 (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 1)
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 0)
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 1/2 (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 1)
(/.f64 1 (/.f64 (.f64 1/2 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (sin.f64 x)) 2)
(/.f64 4 (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 4)) 4)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 4 (.f64 1/2 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (-.f64 0 (.f64 1/2 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 4))) 8)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (*.f64 1/2 (sin.f64 x))) 4)
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1/2)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 1)
(+.f64 (/.f64 2 (sin.f64 x)) 0)
(+.f64 0 (/.f64 2 (sin.f64 x)))
(-.f64 (/.f64 2 (sin.f64 x)) 0)
(.f64 1/2 (.f64 2 (/.f64 2 (sin.f64 x))))
(*.f64 2 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 2 (sin.f64 x)) 1)
(*.f64 1 (/.f64 2 (sin.f64 x)))
(.f64 (.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (/.f64 1 (sin.f64 x)) 2)
(pow.f64 (/.f64 2 (sin.f64 x)) 1)
(+.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 0)
(+.f64 0 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 0)
(.f64 1/2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))
(.f64 2 (/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 2))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/2 (sin.f64 (.f64 x 1/2))) 1/2)
(.f64 (.f64 2 (/.f64 3/2 (sin.f64 (*.f64 x 1/2)))) 1/4)
(.f64 1/4 (.f64 2 (/.f64 3/2 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 2) 2)
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 1)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 5/384 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 5/384 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 61/46080 (pow.f64 x 6)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 5/384 (pow.f64 x 4)) (*.f64 61/46080 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (.f64 5/384 (pow.f64 x 4)) (.f64 61/46080 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 5/384 (pow.f64 x 4)) (*.f64 61/46080 (pow.f64 x 6)))))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 2 x)
(+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x 1/3) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) 7/180)))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 31/7560 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))))
(+.f64 (.f64 (pow.f64 x 3) 7/180) (+.f64 (.f64 x 1/3) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (pow.f64 x 5) 31/7560))))
(+.f64 (.f64 x 1/3) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (pow.f64 x 3) 7/180)) (.f64 (pow.f64 x 5) 31/7560)))
(+.f64 (.f64 x 1/3) (+.f64 (.f64 (pow.f64 x 3) 7/180) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (pow.f64 x 5) 31/7560))))
(/.f64 3/2 x)
(+.f64 (.f64 1/16 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2))
(+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
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(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 -3/4 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 x) -8/3) (sin.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) 1)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 0)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 0)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 1/2 (sin.f64 x)))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 1)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 1 (/.f64 (.f64 1/2 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (sin.f64 x)) 2)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 4)) 4)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (.f64 4 (.f64 1/2 (sin.f64 x))))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (-.f64 0 (.f64 1/2 (sin.f64 x))))
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 4))) 8)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (*.f64 1/2 (sin.f64 x))) 4)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1/2)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) 1)
(/.f64 (.f64 2 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x)))
(+.f64 (/.f64 2 (sin.f64 x)) 0)
(/.f64 2 (sin.f64 x))
(+.f64 0 (/.f64 2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(-.f64 (/.f64 2 (sin.f64 x)) 0)
(/.f64 2 (sin.f64 x))
(.f64 1/2 (.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(*.f64 2 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 2 (sin.f64 x)) 1)
(/.f64 2 (sin.f64 x))
(*.f64 1 (/.f64 2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(/.f64 2 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 2)
(*.f64 2 (/.f64 1 (sin.f64 x)))
(pow.f64 (/.f64 2 (sin.f64 x)) 1)
(/.f64 2 (sin.f64 x))
(+.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 0)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(+.f64 0 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(-.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 0)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 1/2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))
(.f64 1/2 (/.f64 -3/2 (sin.f64 (.f64 x -1/2))))
(.f64 2 (/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 2))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 3/2 (sin.f64 (.f64 x 1/2))) 1/2)
(.f64 1/2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))
(.f64 1/2 (/.f64 -3/2 (sin.f64 (.f64 x -1/2))))
(.f64 (.f64 2 (/.f64 3/2 (sin.f64 (*.f64 x 1/2)))) 1/4)
(.f64 1/2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))
(.f64 1/2 (/.f64 -3/2 (sin.f64 (.f64 x -1/2))))
(.f64 1/4 (.f64 2 (/.f64 3/2 (sin.f64 (*.f64 x 1/2)))))
(.f64 1/2 (/.f64 3/2 (sin.f64 (.f64 x 1/2))))
(.f64 1/2 (/.f64 -3/2 (sin.f64 (.f64 x -1/2))))
(.f64 (/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 2) 2)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))

eval270.0ms (1.8%)

Compiler: Compiled 12986 to 9894 computations (23.8% saved)

prune201.0ms (1.4%)

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	758	28	786
Fresh	7	15	22
Picked	1	0	1
Done	2	4	6
Total	768	47	815

Error

Counts

815 → 47

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.6b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
	15.6b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	15.6b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
	15.7b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
	32.3b	(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
✓	0.3b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
	31.7b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
	29.3b	(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
	16.3b	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
	32.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
	31.8b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
	32.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
	15.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
	47.4b	(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
	47.3b	(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
	32.2b	(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
▶	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
	15.6b	(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
	15.7b	(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
	32.2b	(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
	29.4b	(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
▶	32.6b	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
	32.7b	(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
	15.7b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (/.f64 2 (/.f64 2 (sin.f64 x)))))
✓	15.7b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	47.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
	47.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
	15.7b	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
	0.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
	47.7b	(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
	28.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (+.f64 (-.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) -1) -1) (sin.f64 x)))
	32.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
	62.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
✓	32.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
▶	32.2b	(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
	32.3b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
▶	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
✓	32.3b	(*.f64 x 2/3)
	29.8b	(.f64 8/3 (/.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (/.f64 x -2))))) (sin.f64 x)))
	47.6b	(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
	32.6b	(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
	32.7b	(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
	15.7b	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))))
	32.2b	(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 1273 to 1036 computations (18.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
✓	0.2b	(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
✓	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.0ms	x	@	0	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
0.0ms	x	@	inf	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`exponential.json-3`
1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`
1432×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	94	70
2	291	70
3	994	70
4	4229	70

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))

Outputs

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

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

954×	`rational.json-simplify-44`
934×	`rational.json-simplify-47`
876×	`rational.json-simplify-41`
788×	`rational.json-simplify-61`
774×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	240	4734
1	508	4698
2	1207	4698
3	4394	4698
4	6851	4698

Stop Event

1×	node limit

Counts

130 → 140

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(+.f64 0 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(-.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 16/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3/4))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 4/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 1/2 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (.f64 1/2 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 2 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2)))))
(.f64 2 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 1 (.f64 2 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) (/.f64 1 (.f64 2 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) (/.f64 1 (/.f64 (.f64 (sin.f64 x) 4) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 16/3) 1/2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 8/3)
(.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8) (/.f64 1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))))
(.f64 16/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 4/3 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1/2 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 4/3) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))) -1)
(.f64 (/.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 2 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2)))) 16/3)
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (*.f64 x 1/2)))) 2)
(.f64 (/.f64 1 (.f64 2 (/.f64 3/8 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 2 (/.f64 (.f64 (sin.f64 x) 2) (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) 32/3))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 4) (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (*.f64 x 1/2)) 32/3))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) -3/8))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) (/.f64 2 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1)
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) -3/8))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (neg.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
(+.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 0)
(+.f64 0 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(-.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 0)
(-.f64 0 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))
(.f64 1/2 (/.f64 3/4 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 1 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (.f64 (sin.f64 x) 2) (.f64 3/8 (/.f64 1/2 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 x) 2) (.f64 1/2 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 3/4 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1/2)
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)
(.f64 2 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)))
(.f64 2 (/.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) 32/3)))
(.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/2) 1/4)
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/8))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) 8/3))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)))
(.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)) -1)
(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(.f64 -1 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)))
(.f64 (.f64 2 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) 3/8) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1/2 (sin.f64 (.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) 2) 8/3))
(.f64 (/.f64 1/2 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (.f64 (sin.f64 x) 2))
(.f64 (.f64 3/8 (/.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 (.f64 1/2 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 x) 8/3) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) 8/3) (/.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 2 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)) 2)
(.f64 1/4 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/2))
(.f64 (/.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) 32/3)) (.f64 (sin.f64 x) 4))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5))) (.f64 17/30240 (pow.f64 x 7))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(+.f64 3/4 (+.f64 (.f64 -3/32 (pow.f64 x 2)) (.f64 1/512 (pow.f64 x 4))))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))) (*.f64 -1/61440 (pow.f64 x 6))))
(+.f64 3/4 (+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 -3/32 (pow.f64 x 2)) (*.f64 1/512 (pow.f64 x 4)))))
(+.f64 3/4 (+.f64 (.f64 -3/32 (pow.f64 x 2)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (*.f64 -1/61440 (pow.f64 x 6)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
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(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) 32/3)) (.f64 (sin.f64 x) 4))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)) (neg.f64 (sin.f64 x)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
2.0ms	x	@	-inf	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
0.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`exponential.json-3`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`
1354×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	17
2	136	17
3	271	17
4	514	17
5	1168	17
6	3299	17
7	6712	17

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

Outputs

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

simplify244.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1756×	`rational.json-simplify-1`
1646×	`rational.json-simplify-35`
1506×	`rational.json-simplify-2`
940×	`rational.json-simplify-26`
550×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	482
1	138	476
2	239	476
3	477	476
4	1032	476
5	2650	476
6	3761	476
7	4082	476
8	4858	476
9	5368	476
10	5718	476
11	5955	476
12	6364	476
13	7054	476
14	7958	476

Stop Event

1×	node limit

Counts

24 → 28

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2/3) (.f64 (sin.f64 (.f64 x 1/2)) 2/3))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(/.f64 (*.f64 (sin.f64 (/.f64 x -2)) -8/3) 2)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) 4)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) 32/3)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 32/3))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 32/3))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 32/3)))) 64)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/2880 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 -1/36 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (*.f64 1/2880 (pow.f64 x 5))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 -1/483840 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/2880 (pow.f64 x 5)))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 2/3 x) (.f64 1/2880 (pow.f64 x 5))) (.f64 -1/483840 (pow.f64 x 7))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/2880 (pow.f64 x 5))) (.f64 -1/483840 (pow.f64 x 7))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (.f64 -1/483840 (pow.f64 x 7)))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2/3) (.f64 (sin.f64 (.f64 x 1/2)) 2/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (/.f64 x -2)) -8/3) 2)
(*.f64 -8/3 (/.f64 (sin.f64 (/.f64 x -2)) 2))
(*.f64 (sin.f64 (/.f64 x -2)) -4/3)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) 4)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 32/3) 8)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) 32/3)) 16)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 32/3))) 32)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 32/3))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 32/3)))) 64)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.3b	(*.f64 (/.f64 4/3 (sin.f64 x)) x)
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
✓	0.4b	(/.f64 4/3 (sin.f64 x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`rational.json-simplify-2`
1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-4`
1238×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	89	61
2	218	61
3	496	61
4	1124	61
5	3965	61

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(/.f64 4/3 (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(*.f64 (/.f64 4/3 (sin.f64 x)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/3 (sin.f64 x)) (/.f64 2/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 3/4 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 4/3 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 2/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/2) (/.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 4/3 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/8) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/8 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 4/3 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) (*.f64 (sin.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) (*.f64 (sin.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/4 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))) (*.f64 (sin.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))) (*.f64 (sin.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -4/3 (sin.f64 x)))))))

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

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

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational.json-simplify-61`
1130×	`rational.json-simplify-53`
964×	`rational.json-simplify-2`
926×	`rational.json-simplify-43`
788×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	4149
1	993	4149
2	2673	4149
3	5510	4053

Stop Event

1×	node limit

Counts

157 → 174

Calls

Call 1

Inputs
(/.f64 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))))
(*.f64 2/3 x)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 5/576 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 2/9 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (.f64 7/270 (pow.f64 x 4))))
(+.f64 (.f64 31/11340 (pow.f64 x 6)) (+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 7/270 (pow.f64 x 4)))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 4/3 (sin.f64 x)) 0)
(+.f64 0 (/.f64 4/3 (sin.f64 x)))
(+.f64 (/.f64 2/3 (sin.f64 x)) (/.f64 2/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) 0)
(.f64 (sin.f64 x) (/.f64 3/4 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(.f64 1/2 (.f64 (/.f64 4/3 (sin.f64 x)) 2))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 2 (/.f64 2/3 (sin.f64 x)))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 2) 1/2)
(.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 (.f64 (sin.f64 x) 3/4) (/.f64 2 (.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))
(.f64 (.f64 (sin.f64 x) 3/2) (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 (.f64 (sin.f64 x) 3/2) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))
(*.f64 4 (/.f64 (/.f64 4/3 (sin.f64 x)) 4))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 4) 1/4)
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))
(.f64 (.f64 (sin.f64 x) 3/8) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 3/8 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(*.f64 (/.f64 2/3 (sin.f64 x)) 2)
(.f64 1/4 (.f64 (/.f64 4/3 (sin.f64 x)) 4))
(.f64 3/2 (/.f64 (sin.f64 x) (.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))) 3/8)
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) 3/4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))) (.f64 (sin.f64 x) 3/4))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))) (.f64 (sin.f64 x) 3/8))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))) (.f64 (sin.f64 x) 3/2))
(.f64 (/.f64 3/4 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))) 3/2)
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))) (*.f64 (sin.f64 x) 3/2))
(.f64 (/.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))) (*.f64 (sin.f64 x) 3/4))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) 4) 4)
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(neg.f64 (/.f64 -4/3 (sin.f64 x)))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 x (sin.f64 (*.f64 x 1/2)))) 0)
(+.f64 0 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (.f64 (sin.f64 x) 3/2))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (.f64 (sin.f64 x) 3/2))))
(-.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 x (sin.f64 (*.f64 x 1/2)))) 0)
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 x (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 x (sin.f64 (*.f64 x 1/2)))) 1)
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 8/3 (/.f64 (.f64 (sin.f64 x) 2) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) 3/2) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(/.f64 2 (.f64 2 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (.f64 x 1/2)))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 x (*.f64 (sin.f64 x) 3/8))) 2)
(/.f64 16/3 (.f64 2 (/.f64 (.f64 (sin.f64 x) 2) (.f64 x (sin.f64 (.f64 x 1/2))))))
(/.f64 16/3 (/.f64 (.f64 (sin.f64 x) 4) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(/.f64 -4/3 (-.f64 0 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2))))))
(/.f64 4 (.f64 2 (/.f64 (.f64 (sin.f64 x) 3/2) (.f64 x (sin.f64 (.f64 x 1/2))))))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 x x)) (*.f64 (sin.f64 x) 3/2))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 16/3 (/.f64 (sin.f64 x) x))) 4)
(/.f64 -8/3 (-.f64 0 (/.f64 (.f64 (sin.f64 x) 2) (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 x) (-.f64 0 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))
(/.f64 -1 (-.f64 0 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 4) (.f64 (sin.f64 x) 3))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 16/3 (/.f64 (sin.f64 x) x)))) 8)
(/.f64 (.f64 x (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3/4)
(/.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (-.f64 0 (.f64 (sin.f64 x) (/.f64 3/4 x))))
(/.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/8))
(/.f64 -2 (-.f64 0 (/.f64 (.f64 (sin.f64 x) 3/2) (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 16/3 (/.f64 (sin.f64 x) x))))) 16)
(/.f64 (.f64 2 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3/2)
(/.f64 (.f64 2 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2))))) (.f64 2 (neg.f64 (*.f64 (sin.f64 x) 3/4))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 x x)) (sin.f64 x)) 3/2)
(/.f64 (/.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 4) (.f64 (sin.f64 x) 3/4)) 4)
(/.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 3/4) (sin.f64 x))
(/.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1/2) (*.f64 (sin.f64 x) 3/2))
(/.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 2)) 3/8)
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 x x))) (neg.f64 (*.f64 (sin.f64 x) 3/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2))))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (neg.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2))))) (-.f64 0 (neg.f64 (*.f64 (sin.f64 x) 3/4))))
(/.f64 (neg.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 4)) (-.f64 0 (.f64 (sin.f64 x) 3)))
(/.f64 (neg.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2))))) (-.f64 0 (.f64 (sin.f64 x) 3/8)))
(/.f64 (neg.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 3/4)) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1/2)) (neg.f64 (*.f64 (sin.f64 x) 3/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 x x)))) (*.f64 (sin.f64 x) 3/2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(pow.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (.f64 x (sin.f64 (*.f64 x 1/2)))) 1)
(+.f64 (*.f64 x (/.f64 4/3 (sin.f64 x))) 0)
(+.f64 0 (*.f64 x (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (/.f64 x (.f64 (sin.f64 x) 3/2)))
(-.f64 (*.f64 x (/.f64 4/3 (sin.f64 x))) 0)
(/.f64 4/3 (/.f64 (sin.f64 x) x))
(/.f64 x (*.f64 (sin.f64 x) 3/4))
(/.f64 x (-.f64 0 (neg.f64 (*.f64 (sin.f64 x) 3/4))))
(/.f64 (.f64 x 1/2) (.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 x (/.f64 4/3 (sin.f64 x))) 1)
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 3/4 x)))
(/.f64 8/3 (*.f64 (sin.f64 x) (/.f64 2 x)))
(/.f64 2 (*.f64 3/2 (/.f64 (sin.f64 x) x)))
(/.f64 2 (.f64 2 (.f64 (sin.f64 x) (/.f64 3/4 x))))
(/.f64 (/.f64 x (*.f64 (sin.f64 x) 3/8)) 2)
(/.f64 (+.f64 x x) (*.f64 (sin.f64 x) 3/2))
(/.f64 16/3 (.f64 2 (.f64 (sin.f64 x) (/.f64 2 x))))
(/.f64 16/3 (/.f64 (*.f64 (sin.f64 x) 4) x))
(/.f64 -4/3 (-.f64 0 (/.f64 (sin.f64 x) x)))
(/.f64 4 (.f64 2 (.f64 3/2 (/.f64 (sin.f64 x) x))))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 3) x))
(/.f64 (/.f64 16/3 (/.f64 (sin.f64 x) x)) 4)
(/.f64 (.f64 x 4) (.f64 (sin.f64 x) 3))
(/.f64 -8/3 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 2 x))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (sin.f64 x) 3/8)))
(/.f64 -1 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 3/4 x))))
(/.f64 (*.f64 2 (/.f64 16/3 (/.f64 (sin.f64 x) x))) 8)
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (sin.f64 x) 3)))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 (.f64 (sin.f64 x) 3/4) 8))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 (*.f64 (sin.f64 x) 3/4))))
(/.f64 -2 (-.f64 0 (*.f64 3/2 (/.f64 (sin.f64 x) x))))
(/.f64 (.f64 2 (.f64 2 (/.f64 16/3 (/.f64 (sin.f64 x) x)))) 16)
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3/2)
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) (*.f64 (sin.f64 x) 3/4)) 8)
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) 3/2)
(/.f64 (/.f64 x 1/2) (*.f64 (sin.f64 x) 3/2))
(/.f64 (/.f64 x (*.f64 (sin.f64 x) 2)) 3/8)
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 (sin.f64 x) 3)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 (sin.f64 x) 3/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 x 4))) (-.f64 0 (.f64 2 (.f64 (sin.f64 x) 3))))
(/.f64 (neg.f64 (/.f64 x 1/2)) (neg.f64 (*.f64 (sin.f64 x) 3/2)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 (sin.f64 x) 3/2))
(/.f64 (neg.f64 (/.f64 x 3/4)) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 x (/.f64 4/3 (sin.f64 x))) 1)

Outputs
(/.f64 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(+.f64 (.f64 x 2/9) (.f64 4/3 (/.f64 1 x)))
(+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (.f64 x 2/9) (+.f64 (.f64 4/3 (/.f64 1 x)) (*.f64 7/270 (pow.f64 x 3))))
(+.f64 (.f64 4/3 (/.f64 1 x)) (+.f64 (.f64 x 2/9) (*.f64 7/270 (pow.f64 x 3))))
(+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))))
(+.f64 (+.f64 (.f64 x 2/9) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 7/270 (pow.f64 x 3)))) (.f64 31/11340 (pow.f64 x 5)))
(+.f64 (.f64 x 2/9) (+.f64 (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 7/270 (pow.f64 x 3))) (.f64 31/11340 (pow.f64 x 5))))
(+.f64 (.f64 x 2/9) (+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 7/270 (pow.f64 x 3)))))
(+.f64 (.f64 x 2/9) (+.f64 (.f64 4/3 (/.f64 1 x)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (.f64 31/11340 (pow.f64 x 5)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/12))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 5/576) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 5/576)))
(+.f64 (+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/12)) (*.f64 (pow.f64 x 5) 5/576))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 5/576 (pow.f64 x 5)))))
(+.f64 (.f64 x 2/3) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 5/576) (.f64 61/69120 (pow.f64 x 7))) (.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 5/576) (.f64 61/69120 (pow.f64 x 7)))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 5/576) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 (pow.f64 x 5) 5/576) (+.f64 (.f64 x 2/3) (.f64 61/69120 (pow.f64 x 7)))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
4/3
(+.f64 4/3 (*.f64 2/9 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (.f64 7/270 (pow.f64 x 4))))
(+.f64 (.f64 31/11340 (pow.f64 x 6)) (+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 7/270 (pow.f64 x 4)))))
(+.f64 4/3 (+.f64 (+.f64 (.f64 2/9 (pow.f64 x 2)) (.f64 7/270 (pow.f64 x 4))) (*.f64 31/11340 (pow.f64 x 6))))
(+.f64 4/3 (+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 7/270 (pow.f64 x 4)) (*.f64 31/11340 (pow.f64 x 6)))))
(+.f64 (+.f64 4/3 (.f64 7/270 (pow.f64 x 4))) (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 31/11340 (pow.f64 x 6))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(+.f64 (/.f64 4/3 (sin.f64 x)) 0)
(/.f64 4/3 (sin.f64 x))
(+.f64 0 (/.f64 4/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(+.f64 (/.f64 2/3 (sin.f64 x)) (/.f64 2/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) 0)
(/.f64 4/3 (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 3/4 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))
(.f64 (sin.f64 x) (/.f64 (/.f64 3/4 (sin.f64 x)) (.f64 (sin.f64 x) 9/16)))
(.f64 (sin.f64 x) (/.f64 3/4 (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(/.f64 4/3 (sin.f64 x))
(.f64 1/2 (.f64 (/.f64 4/3 (sin.f64 x)) 2))
(/.f64 4/3 (sin.f64 x))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 2 (/.f64 2/3 (sin.f64 x)))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 2) 1/2)
(/.f64 4/3 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 3/4) (/.f64 2 (.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 3/2) (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 (sin.f64 x) (.f64 3/2 (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 (sin.f64 x) (.f64 3/2 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/8)))))
(.f64 3/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/8))))
(.f64 (.f64 (sin.f64 x) 3/2) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16)))))
(.f64 (sin.f64 x) (.f64 3/2 (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 (sin.f64 x) (.f64 3/2 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/8)))))
(.f64 3/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/8))))
(*.f64 4 (/.f64 (/.f64 4/3 (sin.f64 x)) 4))
(/.f64 4/3 (sin.f64 x))
(.f64 (.f64 (/.f64 4/3 (sin.f64 x)) 4) 1/4)
(/.f64 4/3 (sin.f64 x))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 3/8) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 3/8 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))))
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 2/3 (sin.f64 x)) 2)
(*.f64 2 (/.f64 2/3 (sin.f64 x)))
(.f64 1/4 (.f64 (/.f64 4/3 (sin.f64 x)) 4))
(/.f64 4/3 (sin.f64 x))
(.f64 3/2 (/.f64 (sin.f64 x) (.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 (sin.f64 x) (.f64 3/2 (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 (sin.f64 x) (.f64 3/2 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/8)))))
(.f64 3/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/8))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16))) 3/8)
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 9/16 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))) 3/4)
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 9/16)))))
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(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 8/3 (*.f64 (sin.f64 x) (/.f64 2 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 2 (*.f64 3/2 (/.f64 (sin.f64 x) x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 2 (.f64 2 (.f64 (sin.f64 x) (/.f64 3/4 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 x (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (+.f64 x x) (*.f64 (sin.f64 x) 3/2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 16/3 (.f64 2 (.f64 (sin.f64 x) (/.f64 2 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 16/3 (/.f64 (*.f64 (sin.f64 x) 4) x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 -4/3 (-.f64 0 (/.f64 (sin.f64 x) x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 4 (.f64 2 (.f64 3/2 (/.f64 (sin.f64 x) x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 3) x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 16/3 (/.f64 (sin.f64 x) x)) 4)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (.f64 x 4) (.f64 (sin.f64 x) 3))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 -8/3 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 2 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (sin.f64 x) 3/8)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 -1 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 3/4 x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (*.f64 2 (/.f64 16/3 (/.f64 (sin.f64 x) x))) 8)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (sin.f64 x) 3)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 (.f64 (sin.f64 x) 3/4) 8))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) 3/4)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 -2 (-.f64 0 (*.f64 3/2 (/.f64 (sin.f64 x) x))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (.f64 2 (.f64 2 (/.f64 16/3 (/.f64 (sin.f64 x) x)))) 16)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3/2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) (*.f64 (sin.f64 x) 3/4)) 8)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) 3/2)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 x 1/2) (*.f64 (sin.f64 x) 3/2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (/.f64 x (*.f64 (sin.f64 x) 2)) 3/8)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 (sin.f64 x) 3)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 (sin.f64 x) 3/2)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (.f64 2 (.f64 x 4))) (-.f64 0 (.f64 2 (.f64 (sin.f64 x) 3))))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 x 1/2)) (neg.f64 (*.f64 (sin.f64 x) 3/2)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 (sin.f64 x) 3/2))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 x 3/4)) (neg.f64 (sin.f64 x)))
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))
(pow.f64 (*.f64 x (/.f64 4/3 (sin.f64 x))) 1)
(*.f64 4/3 (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x 3/4) (sin.f64 x))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
✓	0.1b	(*.f64 (pow.f64 x 5) 1/180)
✓	0.1b	(*.f64 (pow.f64 x 3) 1/18)
	0.3b	(*.f64 x 2/3)

Compiler

Compiled 50 to 39 computations (22% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (pow.f64 x 5) 1/180)
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/18)
0.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 1/18)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 1/18)

rewrite187.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2760×	`rational.json-simplify-2`
1694×	`rational.json-simplify-35`
1474×	`exponential.json-3`
1474×	`rational.json-1`
1474×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	99	69
2	185	69
3	364	69
4	739	69
5	1847	69
6	3875	69
7	5448	69
8	6793	69
9	7836	69
10	7836	69

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) 1/18)
(*.f64 (pow.f64 x 5) 1/180)
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/18) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/36) (*.f64 (pow.f64 x 3) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) 1/18) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/9) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/18) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 3) 1/18) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 3) 1/18) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 3) 1/18) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 3) 1/18) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/18) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 1/180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 5) 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 (pow.f64 x 5) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 5) 1/180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/180) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/90) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 5) 1/180) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 5) 1/180) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 5) 1/180) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 5) 1/180) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 5) 1/180) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) 1/180) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)) (*.f64 (pow.f64 x 3) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)) (*.f64 (pow.f64 x 3) 1/36)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (*.f64 (pow.f64 x 5) 1/180)) 2) (*.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/9) (*.f64 4 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)) (*.f64 (pow.f64 x 3) 1/36)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)) (*.f64 (pow.f64 x 3) 1/36)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (*.f64 (pow.f64 x 5) 1/180)) 2) (*.f64 x 4/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/9) (*.f64 4 (+.f64 (*.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/18) (+.f64 (*.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)))))

simplify470.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3132×	`rational.json-simplify-51`
2600×	`rational.json-simplify-35`
1324×	`rational.json-simplify-1`
1156×	`rational.json-simplify-2`
978×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2254
1	287	2254
2	648	2254
3	2152	2254
4	3890	2254
5	4121	2254
6	4279	2254
7	4397	2254
8	4511	2254
9	4623	2254
10	5230	2254
11	5348	2254
12	5354	2254
13	5354	2254
14	5466	2254
15	7975	2254

Stop Event

1×	node limit

Counts

88 → 68

Calls

Call 1

Inputs
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(*.f64 1/180 (pow.f64 x 5))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(*.f64 1/180 (pow.f64 x 5))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 (pow.f64 x 3) 1/18) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 1/18))
(+.f64 (.f64 (pow.f64 x 3) 1/36) (.f64 (pow.f64 x 3) 1/36))
(-.f64 (*.f64 (pow.f64 x 3) 1/18) 0)
(/.f64 (*.f64 (pow.f64 x 3) 1/18) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/9) 2)
(/.f64 (*.f64 (pow.f64 x 3) 2/9) 4)
(/.f64 (.f64 (.f64 (pow.f64 x 3) 1/18) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 1/18) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 1/18) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 1/18) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 1/18) 8))))) 128)
(pow.f64 (*.f64 (pow.f64 x 3) 1/18) 1)
(+.f64 (*.f64 (pow.f64 x 5) 1/180) 0)
(+.f64 0 (*.f64 (pow.f64 x 5) 1/180))
(+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 (pow.f64 x 5) 1/360))
(-.f64 (*.f64 (pow.f64 x 5) 1/180) 0)
(/.f64 (*.f64 (pow.f64 x 5) 1/180) 1)
(/.f64 (*.f64 (pow.f64 x 5) 1/90) 2)
(/.f64 (*.f64 (pow.f64 x 5) 1/45) 4)
(/.f64 (.f64 (.f64 (pow.f64 x 5) 1/180) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 5) 1/180) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 5) 1/180) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 5) 1/180) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 5) 1/180) 8))))) 128)
(pow.f64 (*.f64 (pow.f64 x 5) 1/180) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 0)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))))
(.f64 2 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)) 2))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2))
(.f64 1/2 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (.f64 (pow.f64 x 5) 1/180)) 2) (*.f64 x 4/3)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))))
(.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)) 2) 4)
(.f64 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)) 1/2)
(.f64 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (.f64 (pow.f64 x 5) 1/180)) 2) (*.f64 x 4/3)) 1/2)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))) 1/2)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 8))))) 128)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)

Outputs
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 1/180 (pow.f64 x 5))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(*.f64 1/180 (pow.f64 x 5))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(*.f64 1/180 (pow.f64 x 5))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 (pow.f64 x 3) 1/18) 0)
(*.f64 1/18 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) 1/18))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/36) (.f64 (pow.f64 x 3) 1/36))
(*.f64 1/18 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) 1/18) 0)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/18) 1)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/9) 2)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/9) 4)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (.f64 (.f64 (pow.f64 x 3) 1/18) 8) 8)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 1/18) 8)) 16)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 1/18) 8))) 32)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 1/18) 8)))) 64)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 1/18) 8))))) 128)
(*.f64 1/18 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/18) 1)
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 x 5) 1/180) 0)
(*.f64 1/180 (pow.f64 x 5))
(+.f64 0 (*.f64 (pow.f64 x 5) 1/180))
(*.f64 1/180 (pow.f64 x 5))
(+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 (pow.f64 x 5) 1/360))
(*.f64 1/180 (pow.f64 x 5))
(-.f64 (*.f64 (pow.f64 x 5) 1/180) 0)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/180) 1)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/90) 2)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/45) 4)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (.f64 (.f64 (pow.f64 x 5) 1/180) 8) 8)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 5) 1/180) 8)) 16)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 5) 1/180) 8))) 32)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 5) 1/180) 8)))) 64)
(*.f64 1/180 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 5) 1/180) 8))))) 128)
(*.f64 1/180 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 5) 1/180) 1)
(*.f64 1/180 (pow.f64 x 5))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 0)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 1)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 2 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/36) (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 5) 1/360) (+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/36))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2) 1/2)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 4 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)) 2))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/36) (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) 2))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/36))) 2))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4) 1/4)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 2))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 1/2 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (.f64 (pow.f64 x 5) 1/180)) 2) (*.f64 x 4/3)))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))) (*.f64 x 4/3)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))))
(.f64 1/2 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)))
(.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/36) (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 5) 1/360) (+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/36))))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 4))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3)) (.f64 (pow.f64 x 3) 1/36)) 2) 4)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/36) (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) 2))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/360) (+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/36))) 2))
(.f64 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)) 1/2)
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))))
(.f64 1/2 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)))
(.f64 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (.f64 (pow.f64 x 5) 1/180)) 2) (*.f64 x 4/3)) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/180 (pow.f64 x 5)))) (*.f64 x 4/3)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))) 1/2)
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/9) (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (*.f64 x 1/3)))))
(.f64 1/2 (+.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 5) 1/360) (.f64 x 1/3))) (*.f64 (pow.f64 x 3) 1/9)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 2) 2)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 4) 4)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 8) 8)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8)) 16)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 8))) 32)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 8)))) 64)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 x 2/3))) 8))))) 128)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 (pow.f64 x 5) 1/180) (*.f64 x 2/3))) 1)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))

localize120.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(*.f64 (sin.f64 x) 3/8)
	0.3b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	15.5b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (sin.f64 x) 3/8)
0.0ms	x	@	-inf	(*.f64 (sin.f64 x) 3/8)
0.0ms	x	@	0	(*.f64 (sin.f64 x) 3/8)
0.0ms	x	@	0	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
0.0ms	x	@	inf	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-1`
1606×	`rational.json-2`
1606×	`rational.json-4`
1606×	`rational.json-3`
1594×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	93	44
2	231	44
3	601	44
4	1776	44
5	4880	44

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)

Outputs

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

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

simplify249.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational.json-simplify-2`
1056×	`rational.json-simplify-35`
1016×	`rational.json-simplify-61`
834×	`rational.json-simplify-41`
820×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3366
1	468	3294
2	983	3034
3	2438	3034
4	5184	3034
5	7885	3034

Stop Event

1×	node limit

Counts

104 → 124

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 3/8 x)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8)))
(.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 16/3))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1/2))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) 1))
(.f64 2 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) 1))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/4) (/.f64 1 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x))) 8/3))
(.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (/.f64 4/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (.f64 2 (/.f64 8/3 (sin.f64 x))) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 2 (.f64 (sin.f64 x) 3/8)) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (*.f64 2 (/.f64 4/3 (sin.f64 x))) 1/2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) 1))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 4/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1/2 (sin.f64 x)) 8/3))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 8/3))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 16/3) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 2 (.f64 (sin.f64 x) 3)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 (/.f64 2 (*.f64 (sin.f64 x) 3)) 1))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 1/4 (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 8/3))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 1/2 (/.f64 4/3 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (.f64 (sin.f64 x) -3/8)) 1))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) 8/3))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8)) 1))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 (neg.f64 x))) 8/3))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (/.f64 1/2 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)) -1)
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)) 2)
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) 2)
(.f64 (/.f64 2 (.f64 (sin.f64 x) 3)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) -3/8)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8)))
(+.f64 (*.f64 (sin.f64 x) 3/8) 0)
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (sin.f64 x) 3/8))))
(-.f64 (*.f64 (sin.f64 x) 3/8) 0)
(-.f64 0 (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 0 (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 (sin.f64 x) 3/8) 1)
(/.f64 (*.f64 (sin.f64 x) 3/4) 2)
(/.f64 (*.f64 (sin.f64 x) 3/2) 4)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 3/8)) -1)
(/.f64 (*.f64 (sin.f64 x) 3) 8)
(/.f64 (.f64 (.f64 (sin.f64 x) 3/8) -2) -2)
(/.f64 (*.f64 (sin.f64 x) -3/8) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 3)) 16)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(neg.f64 (*.f64 (sin.f64 x) -3/8))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5))) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 17/30240 (pow.f64 x 7))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 3/8 x)
(*.f64 x 3/8)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(+.f64 (.f64 x 3/8) (.f64 (pow.f64 x 3) -1/16))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (.f64 (pow.f64 x 3) -1/16) (+.f64 (.f64 x 3/8) (*.f64 (pow.f64 x 5) 1/320)))
(+.f64 (.f64 x 3/8) (+.f64 (.f64 (pow.f64 x 5) 1/320) (*.f64 (pow.f64 x 3) -1/16)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(+.f64 (.f64 (pow.f64 x 3) -1/16) (+.f64 (+.f64 (.f64 x 3/8) (.f64 (pow.f64 x 7) -1/13440)) (.f64 (pow.f64 x 5) 1/320)))
(+.f64 (.f64 (pow.f64 x 3) -1/16) (+.f64 (.f64 (pow.f64 x 5) 1/320) (+.f64 (.f64 x 3/8) (.f64 (pow.f64 x 7) -1/13440))))
(+.f64 (.f64 x 3/8) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/16) (.f64 (pow.f64 x 7) -1/13440)) (.f64 (pow.f64 x 5) 1/320)))
(+.f64 (.f64 x 3/8) (+.f64 (.f64 (pow.f64 x 5) 1/320) (+.f64 (.f64 (pow.f64 x 3) -1/16) (.f64 (pow.f64 x 7) -1/13440))))
(+.f64 (.f64 x 3/8) (+.f64 (.f64 (pow.f64 x 3) -1/16) (+.f64 (.f64 (pow.f64 x 5) 1/320) (.f64 (pow.f64 x 7) -1/13440))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 16/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) 1))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(.f64 2 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) 1))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/4) (/.f64 1 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 2 (sin.f64 x))) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (sin.f64 x))) 16/3)
(.f64 16/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (sin.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (/.f64 4/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (.f64 2 (/.f64 8/3 (sin.f64 x))) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 2 (.f64 (sin.f64 x) 3/8)) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 1/2 (/.f64 2 (.f64 (sin.f64 x) 3/8))))
(.f64 1/2 (.f64 (/.f64 16/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 1/2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 16/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (*.f64 2 (/.f64 4/3 (sin.f64 x))) 1/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) 1))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 4/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 1 (sin.f64 x)) 4/3)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1/2 (sin.f64 x)) 8/3))
(.f64 2 (.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 8/3))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 1 (sin.f64 x)) 4/3)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 16/3) 1/2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 2 (.f64 (sin.f64 x) 3)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 2 (.f64 3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4 (/.f64 2/3 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 (/.f64 2 (*.f64 (sin.f64 x) 3)) 1))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 2 (.f64 3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4 (/.f64 2/3 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 1/4 (/.f64 8/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 8/3))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 8/3 (/.f64 1 (*.f64 (sin.f64 x) 4))))
(.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 32/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (/.f64 1/4 (sin.f64 x)) 32/3))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 1/2 (/.f64 4/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (/.f64 2 (sin.f64 x)) 4/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4/3 (/.f64 2 (sin.f64 x))))
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 1 (sin.f64 x)) 4/3)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (/.f64 1 (sin.f64 x)) 4/3)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (.f64 (sin.f64 x) -3/8)) 1))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) 8/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8)) 1))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 (neg.f64 x))) 8/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 2 (.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1/2 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 16/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)) -1)
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (/.f64 2 (sin.f64 x)) 4/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4/3 (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)) 2)
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) 2)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) 3)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 2 (.f64 3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4 (/.f64 2/3 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) -3/8)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(+.f64 (*.f64 (sin.f64 x) 3/8) 0)
(*.f64 (sin.f64 x) 3/8)
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(-.f64 (*.f64 (sin.f64 x) 3/8) 0)
(*.f64 (sin.f64 x) 3/8)
(-.f64 0 (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(-.f64 0 (*.f64 (sin.f64 x) -3/8))
(*.f64 (sin.f64 x) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/4) 2)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/2) 4)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 3/8)) -1)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3) 8)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (.f64 (.f64 (sin.f64 x) 3/8) -2) -2)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (*.f64 (sin.f64 x) -3/8) -1)
(*.f64 (sin.f64 x) 3/8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 3)) 16)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(neg.f64 (*.f64 (sin.f64 x) -3/8))
(*.f64 (sin.f64 x) 3/8)

eval261.0ms (1.8%)

Compiler: Compiled 12271 to 9385 computations (23.5% saved)

prune196.0ms (1.3%)

Pruning

52 alts after pruning (44 fresh and 8 done)

	Pruned	Kept	Total
New	738	15	753
Fresh	9	29	38
Picked	0	1	1
Done	1	7	8
Total	748	52	800

Error

Counts

800 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (sin.f64 x) 3/8)))))
	30.7b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x)))) 3/8))
✓	15.6b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
▶	47.2b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
	15.6b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
▶	15.6b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
	15.7b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
✓	0.3b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
	16.3b	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
	32.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
	31.8b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
	32.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
	15.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
	47.4b	(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
	47.3b	(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
	32.2b	(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
✓	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
	32.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
	31.7b	(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
▶	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
▶	29.3b	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
	15.6b	(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
	15.7b	(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
	32.2b	(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
	47.4b	(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
▶	47.4b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
	29.4b	(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
✓	32.6b	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
	32.7b	(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
	32.9b	(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
	29.0b	(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
✓	15.7b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	47.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
	47.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
	15.7b	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
	0.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
	32.2b	(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
	15.7b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
	15.7b	(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
	47.7b	(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
	32.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
	62.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
✓	32.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
✓	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
✓	32.3b	(*.f64 x 2/3)
	47.6b	(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
	32.6b	(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
	32.7b	(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
	32.2b	(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 1289 to 1047 computations (18.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
✓	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
✓	0.2b	(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
0.0ms	x	@	inf	(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`rational.json-1`
1798×	`rational.json-2`
1798×	`rational.json-4`
1798×	`rational.json-3`
1038×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	90	87
2	247	87
3	794	87
4	3091	87
5	6824	87

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))

Outputs

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

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

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

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational.json-simplify-51`
1038×	`rational.json-simplify-35`
862×	`rational.json-simplify-1`
794×	`rational.json-simplify-44`
764×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	4559
1	610	4559
2	1510	4547
3	4912	4547
4	7635	4547

Stop Event

1×	node limit

Counts

141 → 154

Calls

Call 1

Inputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 3/4 x)
(+.f64 (.f64 1/32 x) (.f64 3/4 (/.f64 1 x)))
(+.f64 (.f64 1/32 x) (+.f64 (.f64 7/7680 (pow.f64 x 3)) (*.f64 3/4 (/.f64 1 x))))
(+.f64 (.f64 1/32 x) (+.f64 (.f64 31/1290240 (pow.f64 x 5)) (+.f64 (.f64 7/7680 (pow.f64 x 3)) (.f64 3/4 (/.f64 1 x)))))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(+.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 0)
(+.f64 0 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(-.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 1)
(/.f64 1 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3))
(/.f64 3/4 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) 2)
(/.f64 2 (/.f64 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3/8))
(/.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (/.f64 3/2 (sin.f64 (.f64 x 1/2)))) 4)
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(/.f64 (.f64 (sin.f64 x) 2) (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 x 1/2)) 16/3)) 2))
(/.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (/.f64 2 (sin.f64 x)))
(/.f64 3/2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) -1)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(/.f64 -3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 -1 (-.f64 0 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)))
(/.f64 -3/4 (neg.f64 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 4)) 8)
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 4))
(/.f64 (.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
(/.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 (.f64 x 1/2)))) 16/3)
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (-.f64 0 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)))
(pow.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)) 0)
(.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)) 1)
(.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))
(.f64 2 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)) 2))
(.f64 2 (.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)) 1/2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4) (/.f64 1 (.f64 (sin.f64 x) (/.f64 3/2 (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 16/3)) (/.f64 1 (.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 -1 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sin.f64 x) (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 -1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 -1 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))))
(.f64 -1 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))))
(.f64 -1 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (.f64 2 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (.f64 2 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))) -1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) -1)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 16/3)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) 2)
(.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 3/2 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 (/.f64 -1 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 8/3)) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2))))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 x)))
(+.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 0)
(+.f64 0 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(+.f64 (/.f64 3/16 (sin.f64 (.f64 x 1/2))) (/.f64 3/16 (sin.f64 (.f64 x 1/2))))
(-.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 0)
(-.f64 0 (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(-.f64 0 (/.f64 -3/8 (sin.f64 (*.f64 x 1/2))))
(.f64 1/2 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 2 (/.f64 3/16 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1/2)
(.f64 (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) -1)
(.f64 -1 (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 -3/8 (sin.f64 (.f64 x 1/2))) -1)
(.f64 (/.f64 3/16 (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 1)
(neg.f64 (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 -3/8 (sin.f64 (*.f64 x 1/2))))

Outputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(+.f64 (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))) (.f64 1/512 (pow.f64 x 4)))
(+.f64 (.f64 -3/32 (pow.f64 x 2)) (+.f64 (.f64 1/512 (pow.f64 x 4)) 3/4))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))) (*.f64 -1/61440 (pow.f64 x 6))))
(+.f64 (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))) (+.f64 (.f64 -1/61440 (pow.f64 x 6)) (*.f64 1/512 (pow.f64 x 4))))
(+.f64 (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))) (+.f64 (.f64 1/512 (pow.f64 x 4)) (*.f64 -1/61440 (pow.f64 x 6))))
(+.f64 3/4 (+.f64 (.f64 -3/32 (pow.f64 x 2)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (*.f64 -1/61440 (pow.f64 x 6)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 x 2/3) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 x 2/3) (+.f64 (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 x 2/3) (.f64 1/18 (pow.f64 x 3))) (.f64 17/30240 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 x 2/3) (.f64 1/18 (pow.f64 x 3))) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 2) (sin.f64 x)))
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(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(.f64 2 (/.f64 3/16 (sin.f64 (.f64 x 1/2))))
(.f64 2 (/.f64 -3/16 (sin.f64 (.f64 x -1/2))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1/2)
(.f64 1/2 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) -1)
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(.f64 -1 (neg.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(.f64 -1 (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 -3/8 (sin.f64 (.f64 x 1/2))) -1)
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 3/16 (sin.f64 (.f64 x 1/2))) 2)
(.f64 2 (/.f64 3/16 (sin.f64 (.f64 x 1/2))))
(.f64 2 (/.f64 -3/16 (sin.f64 (.f64 x -1/2))))
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 -3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`exponential.json-3`
1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`
1332×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	65	17
2	157	17
3	317	17
4	610	17
5	1376	17
6	3344	17
7	6550	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 2/3) (*.f64 (sin.f64 (*.f64 x 1/2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 (/.f64 x -2)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 x 1/2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 16/3) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 1/2 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 x 1/2))) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 x 1/2)) 16/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (/.f64 x -2)) 3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (/.f64 x -2)) 3/4))))))

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational.json-simplify-35`
1182×	`rational.json-simplify-2`
994×	`rational.json-simplify-26`
860×	`rational.json-simplify-52`
722×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	799
1	142	799
2	250	799
3	406	799
4	618	799
5	818	799
6	1245	799
7	1741	799
8	2946	799
9	4813	799
10	6289	799
11	6867	799
12	7685	799

Stop Event

1×	node limit

Counts

43 → 44

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(+.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) 3))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2/3) (.f64 (sin.f64 (.f64 x 1/2)) 2/3))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3) (sin.f64 (.f64 x 1/2)))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(-.f64 0 (/.f64 (sin.f64 (/.f64 x -2)) 3/4))
(.f64 1/2 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) 2/3)
(.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) 2/3))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1/2)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4 (/.f64 (sin.f64 (.f64 x 1/2)) 3))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3) 1/4)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8) 1/6)
(.f64 2/3 (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 8/3 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))) 8/3)
(.f64 1/4 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2/3) 2)
(.f64 1/3 (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3) 4)
(.f64 1/6 (.f64 (sin.f64 (*.f64 x 1/2)) 8))
(*.f64 (/.f64 (sin.f64 (/.f64 x -2)) 3/4) -1)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(neg.f64 (/.f64 (sin.f64 (/.f64 x -2)) 3/4))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/2880 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (*.f64 1/2880 (pow.f64 x 5))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 2/3 x) (.f64 1/2880 (pow.f64 x 5))) (.f64 -1/483840 (pow.f64 x 7))))
(+.f64 (.f64 2/3 x) (+.f64 (+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 -1/483840 (pow.f64 x 7))) (.f64 1/2880 (pow.f64 x 5))))
(+.f64 (+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3))) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (.f64 -1/483840 (pow.f64 x 7))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (.f64 -1/483840 (pow.f64 x 7)))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(+.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) 3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2/3) (.f64 (sin.f64 (.f64 x 1/2)) 2/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(+.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3) (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(-.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(-.f64 0 (/.f64 (sin.f64 (/.f64 x -2)) 3/4))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2) 2/3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 2 (.f64 (sin.f64 (*.f64 x 1/2)) 2/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1/2)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 4 (/.f64 (sin.f64 (.f64 x 1/2)) 3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3) 1/4)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8) 1/6)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 2/3 (.f64 (sin.f64 (*.f64 x 1/2)) 2))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 8/3 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))) 8/3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 2/3) 2)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 1/3 (.f64 (sin.f64 (*.f64 x 1/2)) 4))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3) 4)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(.f64 1/6 (.f64 (sin.f64 (*.f64 x 1/2)) 8))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(*.f64 (/.f64 (sin.f64 (/.f64 x -2)) 3/4) -1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))
(neg.f64 (/.f64 (sin.f64 (/.f64 x -2)) 3/4))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 -4/3 (sin.f64 (.f64 x -1/2)))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	15.5b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
1.0ms	x	@	-inf	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
0.0ms	x	@	0	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`rational.json-1`
1126×	`rational.json-2`
1126×	`rational.json-4`
1126×	`rational.json-3`
1114×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	85	29
2	210	29
3	545	29
4	1678	29
5	4197	29

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))

Outputs

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

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1732×	`rational.json-simplify-35`
1212×	`rational.json-simplify-2`
854×	`rational.json-simplify-53`
760×	`rational.json-simplify-1`
710×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	2016
1	315	2016
2	642	2016
3	1163	2016
4	3130	2016
5	5392	2016
6	7009	2016
7	7746	2016

Stop Event

1×	node limit

Counts

68 → 70

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/540 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/540 (pow.f64 x 5)) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 0)
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 x 3/8)))))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 x)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 x)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 2) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 2))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 0)
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 x 3/8))))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 x))))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) x))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 x)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)) 2))
(.f64 2 (.f64 (.f64 1/2 (/.f64 8/3 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 2 (.f64 (/.f64 1 (.f64 x 3/2)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 2 (.f64 (/.f64 1/2 x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)) 1)
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 x))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 8/3 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) 8/3)
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) x) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 1 (.f64 x 3/2)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 1/2 (/.f64 4/3 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 x)) 4/3)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 x))
(.f64 (/.f64 8/3 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 1 x) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (*.f64 x 3/8)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 2 (*.f64 3/4 (neg.f64 x))))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 x 3/8))))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 x))))
(.f64 4 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2) (/.f64 4/3 x)))
(.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4)) (*.f64 1/4 (/.f64 4/3 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (/.f64 1/2 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (/.f64 4/3 x) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 1/2 x) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -2) (.f64 -1 (/.f64 4/3 x)))
(.f64 8 (.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 2) 2) (/.f64 4/3 x)))
(.f64 -2 (.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 x)))
(.f64 (.f64 2 (/.f64 8/3 x)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (.f64 1/2 (/.f64 8/3 x)) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 x 3/8))) -1)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 x))) -1)
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 x)) 2)
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)) 2) 2)
(.f64 (/.f64 1 (.f64 x 3/2)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 (/.f64 -1 (.f64 x 3/8)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 2 (.f64 3/4 (neg.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 2 (/.f64 1/2 x)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) 2) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (.f64 1/4 (/.f64 4/3 x)))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 x 3/8))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 x))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/540 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (*.f64 1/540 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/540 (pow.f64 x 5)) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (.f64 -1/30240 (pow.f64 x 7)))))
(+.f64 (.f64 1/540 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 -1/18 (pow.f64 x 3)) (.f64 -1/30240 (pow.f64 x 7))) (.f64 2/3 x)))
(+.f64 (.f64 -1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 1/540 (pow.f64 x 5)) (.f64 -1/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/18 (pow.f64 x 3)) (+.f64 (.f64 1/540 (pow.f64 x 5)) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 0)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 x 3/8)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 x)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 2) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 0)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 x 3/8))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 2 (.f64 (.f64 1/2 (/.f64 8/3 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 2 (.f64 (/.f64 1 (.f64 x 3/2)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 2 (.f64 (/.f64 1/2 x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 8/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) x) 1/2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 1 (.f64 x 3/2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (.f64 1/2 (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 x)) 4/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (/.f64 2 x) 4/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4/3 (/.f64 2 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 8/3 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 1 x) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (*.f64 x 3/8)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 2 (*.f64 3/4 (neg.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 x 3/8))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 4 (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2) (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4)) (*.f64 1/4 (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (/.f64 1/2 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 4/3 x) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 1/2 x) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -2) (.f64 -1 (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 8 (.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 2) 2) (/.f64 4/3 x)))
(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 2) 2) (*.f64 (/.f64 4/3 x) 8))
(.f64 (/.f64 4/3 x) (.f64 8 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))
(.f64 8 (.f64 (/.f64 4/3 x) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))
(.f64 -2 (.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 2 (/.f64 8/3 x)) (.f64 1/2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 1/2 (/.f64 8/3 x)) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 x 3/8))) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 x))) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (/.f64 2 x) 4/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 4/3 (/.f64 2 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 x)) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 x)) 2) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 1 (.f64 x 3/2)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 -1 (.f64 x 3/8)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (/.f64 2 (.f64 3/4 (neg.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (.f64 2 (/.f64 1/2 x)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) 2) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (.f64 1/4 (/.f64 4/3 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x)) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 x 3/8))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (sin.f64 (.f64 x 1/2)))
✓	0.3b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
✓	0.3b	(.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))
✓	15.5b	(/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2)))))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))
0.0ms	x	@	inf	(/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2)))))
0.0ms	x	@	-inf	(.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2)))))
0.0ms	x	@	-inf	(.f64 x (sin.f64 (.f64 x 1/2)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`exponential.json-3`
1256×	`rational.json-1`
1256×	`rational.json-2`
1256×	`rational.json-4`
1256×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	113	106
2	304	106
3	921	106
4	3455	106

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(.f64 x (sin.f64 (.f64 x 1/2)))

Outputs
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1/2)))) (.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 2)) (.f64 x 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x 1/2) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x 1/2) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x 4/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 16/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sin.f64 x)) (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 (sin.f64 x) 3/4)) (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) -3/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))))))

simplify139.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-53`
1326×	`rational.json-simplify-49`
1070×	`rational.json-simplify-2`
992×	`rational.json-simplify-44`
980×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	6852
1	779	6834
2	1933	6810
3	6019	6810

Stop Event

1×	node limit

Counts

218 → 239

Calls

Call 1

Inputs
(/.f64 3/2 x)
(+.f64 (.f64 -3/16 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 1/256 (pow.f64 x 3)) (+.f64 (.f64 -3/16 x) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (.f64 1/256 (pow.f64 x 3)) (+.f64 (.f64 -1/30720 (pow.f64 x 5)) (+.f64 (.f64 -3/16 x) (.f64 3/2 (/.f64 1 x)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/36 (pow.f64 x 4)))
(+.f64 (.f64 1/2880 (pow.f64 x 6)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 -1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/2880 (pow.f64 x 6)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/483840 (pow.f64 x 8)) (.f64 -1/36 (pow.f64 x 4)))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 2/3 x)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 5/576 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/3840 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/3840 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/645120 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 4)))))
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(.f64 (sin.f64 (.f64 1/2 x)) x)
(+.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) 0)
(+.f64 0 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(+.f64 -1 (-.f64 1 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))))))
(-.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) 0)
(-.f64 0 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 x) (.f64 3/4 (/.f64 1 (.f64 x (sin.f64 (.f64 x 1/2))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))) 3/2))
(.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3))))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))) 2))
(.f64 (.f64 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))) 3/2) 1/2)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 3/8 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 x) 2) (.f64 1/2 (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) 4) 1/4)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 16/3))))
(.f64 (.f64 (sin.f64 x) 3/2) (/.f64 1 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))) 3/4)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) (/.f64 3/4 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 x))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(.f64 (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(.f64 -1 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2)))))))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) -3/4) (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2)))))) -1)
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3)))
(.f64 (.f64 (sin.f64 x) -3/4) (/.f64 -1 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 2 (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 3/4 x))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2))))) 3/8)
(.f64 (/.f64 1 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 3/4))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) (/.f64 3/4 x)))
(.f64 (/.f64 3/8 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) 2))
(.f64 3/8 (.f64 2 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2))))))
(.f64 (.f64 3/4 (/.f64 1 (.f64 x (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
(.f64 (.f64 1/2 (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3)) -1)
(.f64 (/.f64 (.f64 (sin.f64 x) -3/4) (.f64 x (sin.f64 (.f64 x 1/2)))) -1)
(.f64 (/.f64 1 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 2))) (*.f64 (sin.f64 x) 3/2))
(.f64 (/.f64 3/4 x) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3)) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3))) 2)
(.f64 (/.f64 (sin.f64 x) 2) (.f64 2 (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))))
(.f64 1/4 (.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) 4))
(.f64 (/.f64 -1 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 x) -3/4))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (.f64 x 1/2))))) 2) 2)
(.f64 (/.f64 1 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 16/3))) (*.f64 (sin.f64 x) 4))
(pow.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) 1)
(neg.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2)))))))
(neg.f64 (/.f64 (sin.f64 x) (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3)))
(neg.f64 (/.f64 (.f64 (sin.f64 x) -3/4) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(+.f64 (.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 0)
(+.f64 0 (.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(+.f64 -1 (-.f64 1 (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3)))
(-.f64 (.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 0)
(-.f64 0 (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3))
(/.f64 (.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x 8/3)) 2)
(/.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)) 4)
(/.f64 (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3) -1)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) 4) 8)
(pow.f64 (.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1)
(neg.f64 (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3))
(+.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 0)
(+.f64 0 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))))
(-.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 0)
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 1/2 (.f64 x (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 x 1/2) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x (/.f64 4/3 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 4/3 (/.f64 x (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 x 4/3) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 4/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 x (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(.f64 1 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))))
(.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 1)
(.f64 2 (/.f64 (.f64 x (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (*.f64 (sin.f64 x) 2)))
(.f64 2 (/.f64 (.f64 x 1/2) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))))
(.f64 2 (/.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 2))
(.f64 2 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))
(.f64 (.f64 x (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1/2)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 x 1/2) (sin.f64 x))))
(.f64 8/3 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 16/3)) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 2/3 (sin.f64 x)))
(.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (/.f64 1 (sin.f64 x)) 2/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 x (.f64 (sin.f64 x) 3/2)))
(.f64 (+.f64 x x) (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))))
(.f64 (+.f64 x x) (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 3/2)))
(.f64 (.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 x (sin.f64 x)) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 x (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 x (.f64 4/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) 3/4))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3) (/.f64 -1 (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3) (sin.f64 x)))
(.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) (/.f64 -1 (.f64 (sin.f64 x) 3/4)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (.f64 x 1/2) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (/.f64 2 (sin.f64 x)))) 2/3)
(.f64 (.f64 x 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 2)))
(.f64 (.f64 x (/.f64 4/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (*.f64 x 4/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 x 3/4))
(.f64 (/.f64 2/3 (sin.f64 x)) (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 x 1/2) (sin.f64 x))) 8/3)
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)))
(.f64 2/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (/.f64 2 (sin.f64 x)))))
(.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (*.f64 x 1/2))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 (.f64 x 4/3) (/.f64 1 (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 x (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x 8/3)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (.f64 x (sin.f64 (*.f64 x 1/2))))) 8/3)
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2/3) (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) 3/4) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3) (sin.f64 x)) -1)
(.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)) (+.f64 x x))
(.f64 (/.f64 x 3/4) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 x (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (*.f64 (sin.f64 x) 2)) 2)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 2)) (.f64 x 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (.f64 x 1/2) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))) (+.f64 x x))
(.f64 (/.f64 (.f64 x 1/2) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) 2)
(.f64 (/.f64 (.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)))
(.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 3/2)) (+.f64 x x))
(.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/2)) 2)
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) 3/4)) (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))
(pow.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 1)
(neg.f64 (neg.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))))
(neg.f64 (/.f64 (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3) (sin.f64 x)))
(neg.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) -3/4)))
(+.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 0)
(+.f64 0 (.f64 x (sin.f64 (.f64 x 1/2))))
(+.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))))
(-.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 0)
(-.f64 0 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1)
(/.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)
(/.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) -1)
(/.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 4)) 4)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) 3) 8)
(pow.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1)
(neg.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))

Outputs
(/.f64 3/2 x)
(+.f64 (.f64 -3/16 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 1/256 (pow.f64 x 3)) (+.f64 (.f64 -3/16 x) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))) (*.f64 1/256 (pow.f64 x 3)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 x -3/16) (*.f64 1/256 (pow.f64 x 3))))
(+.f64 (.f64 x -3/16) (+.f64 (.f64 3/2 (/.f64 1 x)) (*.f64 1/256 (pow.f64 x 3))))
(+.f64 (.f64 1/256 (pow.f64 x 3)) (+.f64 (.f64 -1/30720 (pow.f64 x 5)) (+.f64 (.f64 -3/16 x) (.f64 3/2 (/.f64 1 x)))))
(+.f64 (.f64 1/256 (pow.f64 x 3)) (+.f64 (.f64 x -3/16) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/30720 (pow.f64 x 5)))))
(+.f64 (.f64 x -3/16) (+.f64 (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/30720 (pow.f64 x 5))) (.f64 1/256 (pow.f64 x 3))))
(+.f64 (.f64 x -3/16) (+.f64 (.f64 1/256 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/30720 (pow.f64 x 5)))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 x)) x)))
(.f64 3/4 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (*.f64 x 1/2)))))
(.f64 3/4 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x 1/2))))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/36 (pow.f64 x 4)))
(+.f64 (.f64 1/2880 (pow.f64 x 6)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 -1/36 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/36 (pow.f64 x 4)) (*.f64 1/2880 (pow.f64 x 6))))
(+.f64 (.f64 1/2880 (pow.f64 x 6)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/483840 (pow.f64 x 8)) (.f64 -1/36 (pow.f64 x 4)))))
(+.f64 (.f64 1/2880 (pow.f64 x 6)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/36 (pow.f64 x 4)) (.f64 -1/483840 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 -1/36 (pow.f64 x 4)) (.f64 -1/483840 (pow.f64 x 8))) (+.f64 (.f64 1/2880 (pow.f64 x 6)) (.f64 2/3 (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/36 (pow.f64 x 4)) (+.f64 (.f64 -1/483840 (pow.f64 x 8)) (.f64 1/2880 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 6)) (+.f64 (.f64 -1/36 (pow.f64 x 4)) (.f64 -1/483840 (pow.f64 x 8)))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (.f64 (sin.f64 (*.f64 1/2 x)) x))
(.f64 x (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/12))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 5/576) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 5/576)))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 5/576)))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/69120 (pow.f64 x 7)) (.f64 5/576 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 5/576) (.f64 61/69120 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 5) 5/576) (.f64 61/69120 (pow.f64 x 7))) (+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/12)))
(+.f64 (+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/12)) (+.f64 (.f64 (pow.f64 x 5) 5/576) (.f64 61/69120 (pow.f64 x 7))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 4/3 (/.f64 (.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/48))
(+.f64 (.f64 1/3840 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/48) (*.f64 (pow.f64 x 6) 1/3840)))
(+.f64 (.f64 (pow.f64 x 4) -1/48) (+.f64 (.f64 (pow.f64 x 6) 1/3840) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) -1/48) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/3840)))
(+.f64 (.f64 1/3840 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/645120 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 6) 1/3840) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/48) (.f64 (pow.f64 x 8) -1/645120))))
(+.f64 (.f64 (pow.f64 x 8) -1/645120) (+.f64 (.f64 (pow.f64 x 4) -1/48) (+.f64 (.f64 (pow.f64 x 6) 1/3840) (.f64 1/2 (pow.f64 x 2)))))
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(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 2/3 (sin.f64 x)) (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 x 1/2) (sin.f64 x))) 8/3)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 2/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (/.f64 2 (sin.f64 x)))))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))) (/.f64 8/3 (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (*.f64 x 1/2))
(.f64 x (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) 1/2))
(.f64 (.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(.f64 x (.f64 1/2 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (.f64 x 4/3) (/.f64 1 (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 x (sin.f64 (.f64 x 1/2))))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x 8/3)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (.f64 x (sin.f64 (*.f64 x 1/2))))) 8/3)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2/3) (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) 3/4) (/.f64 1 (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 3/4 (.f64 x (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3) (sin.f64 x)) -1)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 2)) (+.f64 x x))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 x 3/4) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 x (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (*.f64 (sin.f64 x) 2)) 2)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 2)) (.f64 x 8/3))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x 1/2) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))) (+.f64 x x))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x 1/2) (.f64 (sin.f64 x) (/.f64 3/4 (sin.f64 (.f64 x 1/2))))) 2)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 2) 2)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 16/3)))
(.f64 x (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (/.f64 1 (*.f64 (sin.f64 x) 4))))
(.f64 x (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 16/3) (/.f64 1/4 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1/4 (sin.f64 x)) (.f64 x 16/3)))
(.f64 (/.f64 x (.f64 (sin.f64 x) 3/2)) (.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) 3/2)) (+.f64 x x))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/2)) 2)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 (.f64 x (sin.f64 (.f64 x 1/2))) -4/3))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) 3/4)) (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x)))) 1)
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (neg.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (.f64 (.f64 x (sin.f64 (*.f64 x 1/2))) -4/3) (sin.f64 x)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) -3/4)))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))))
(.f64 x (.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(+.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 0)
(.f64 x (sin.f64 (.f64 x 1/2)))
(+.f64 0 (.f64 x (sin.f64 (.f64 x 1/2))))
(.f64 x (sin.f64 (.f64 x 1/2)))
(+.f64 (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 x (sin.f64 (.f64 x 1/2)))
(-.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 0)
(.f64 x (sin.f64 (.f64 x 1/2)))
(-.f64 0 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 x (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1)
(.f64 x (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)
(.f64 x (sin.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))) -1)
(.f64 x (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 x (.f64 (sin.f64 (*.f64 x 1/2)) 4)) 4)
(.f64 x (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) 3) 8)
(.f64 3 (/.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 8))
(.f64 (.f64 x (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3/8)
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 3/8)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 8/3)) 3/8)
(pow.f64 (.f64 x (sin.f64 (.f64 x 1/2))) 1)
(.f64 x (sin.f64 (.f64 x 1/2)))
(neg.f64 (neg.f64 (.f64 x (sin.f64 (.f64 x 1/2)))))
(.f64 x (sin.f64 (.f64 x 1/2)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.2b	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
	0.3b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	15.5b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
0.0ms	x	@	inf	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
0.0ms	x	@	0	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
0.0ms	x	@	0	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
0.0ms	x	@	inf	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`rational.json-1`
1310×	`rational.json-2`
1310×	`rational.json-4`
1310×	`rational.json-3`
1294×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	98	56
2	263	56
3	690	56
4	2063	56
5	4970	56

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)

Outputs

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

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

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational.json-simplify-2`
1158×	`rational.json-simplify-1`
886×	`rational.json-simplify-35`
788×	`rational.json-simplify-43`
766×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	3796
1	394	3796
2	921	3796
3	2420	3796
4	5452	3796
5	6941	3796

Stop Event

1×	node limit

Counts

124 → 124

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 (sin.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 3/8 (sin.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3) (sin.f64 x))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 (sin.f64 x)))))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 3/8 (sin.f64 x)))))
(-.f64 0 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (sin.f64 x)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (/.f64 1/2 (sin.f64 x))))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 16/3) (.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 1 (.f64 (sin.f64 x) 3/2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (sin.f64 x)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 32/3) (/.f64 1 (.f64 (sin.f64 x) 4)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1 (*.f64 3/8 (neg.f64 (sin.f64 x)))))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (*.f64 3/8 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (/.f64 -1 (sin.f64 x)))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 (sin.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 3/8 (sin.f64 x)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(.f64 16/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 16/3))
(.f64 (.f64 8/3 (/.f64 1/2 (sin.f64 x))) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4/3) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 (sin.f64 x)))) -1)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 3/8 (sin.f64 x)))) -1)
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (sin.f64 x)) -1)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (sin.f64 x))) 16/3)
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 32/3))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 3/2)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) 2)
(.f64 (/.f64 1 (.f64 3/8 (neg.f64 (sin.f64 x)))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 -1 (.f64 3/8 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))) 2)
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 (sin.f64 x)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 3/8 (sin.f64 x)))))
(neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 0)
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3))
(+.f64 -1 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 2) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 2))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(+.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3)) -1)
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 0)
(-.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3))
(.f64 1/2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 2))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 1)
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) 1/2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 4/3)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4) 2/3)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 32/3) 1/4)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) -1)
(.f64 -1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(.f64 16/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2))
(.f64 4/3 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2) 16/3)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 32/3))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 2) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) 2)
(.f64 2/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 1)
(neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5))) (.f64 17/30240 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5))) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 1/180 (pow.f64 x 5)) (.f64 17/30240 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 1/180 (pow.f64 x 5)) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/18 (pow.f64 x 4)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 1/540 (pow.f64 x 6)) (*.f64 -1/18 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/540 (pow.f64 x 6)) (.f64 -1/30240 (pow.f64 x 8))) (.f64 -1/18 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 1/540 (pow.f64 x 6)) (.f64 -1/30240 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/18 (pow.f64 x 4))) (+.f64 (.f64 1/540 (pow.f64 x 6)) (.f64 -1/30240 (pow.f64 x 8))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 1/540 (pow.f64 x 6)) (.f64 -1/30240 (pow.f64 x 8)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 (sin.f64 x))))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 3/8 (sin.f64 x))))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3) (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/4)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 0)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 3/8 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(-.f64 0 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (/.f64 1/2 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (/.f64 1/2 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 16/3) (.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 1/2 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) 4/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4) (/.f64 1 (.f64 (sin.f64 x) 3/2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) (sin.f64 x)) 1/2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 32/3) (/.f64 1 (.f64 (sin.f64 x) 4)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1 (*.f64 3/8 (neg.f64 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (*.f64 3/8 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (/.f64 -1 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 3/8 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 16/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(.f64 4/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 16/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 8/3 (/.f64 1/2 (sin.f64 x))) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4/3) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 2 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 3/8 (neg.f64 (sin.f64 x)))) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (*.f64 3/8 (sin.f64 x)))) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (sin.f64 x)) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 2 (sin.f64 x))) 16/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (.f64 2 (sin.f64 x))) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 32/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/4)) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 3/2)) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 4))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 1 (.f64 3/8 (neg.f64 (sin.f64 x)))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 -1 (.f64 3/8 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 4/3 (sin.f64 x))) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (neg.f64 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (.f64 3/8 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 0)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 -1 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3)))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 2) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(+.f64 (-.f64 1 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3)) -1)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(-.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 0)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(-.f64 0 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 1/2 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 1)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/3) 1/2)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 4/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4) 2/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 32/3) 1/4)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) -1)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 -1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 16/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 4/3 (.f64 2 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2) 16/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 32/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 2) 2)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) 2)
(.f64 2 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4))
(.f64 2/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 4))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 1)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -8/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))

eval285.0ms (1.9%)

Compiler: Compiled 12207 to 9400 computations (23% saved)

prune176.0ms (1.2%)

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	783	10	793
Fresh	14	25	39
Picked	0	1	1
Done	4	8	12
Total	801	44	845

Error

Counts

845 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (sin.f64 x) 3/8)))))
	30.7b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x)))) 3/8))
✓	15.6b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
	15.6b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
✓	15.6b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
	15.7b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
✓	0.3b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
	16.3b	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
	15.7b	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
	31.8b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
	32.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
	15.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
	47.4b	(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
	47.8b	(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
✓	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
	31.7b	(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
✓	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
	31.8b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
✓	29.3b	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
	15.6b	(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
	15.7b	(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
	32.3b	(/.f64 1 (/.f64 3/2 x))
	29.4b	(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
	31.9b	(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
✓	32.6b	(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
	32.7b	(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
	29.0b	(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
	57.8b	(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
✓	15.7b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	47.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
	15.7b	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
	15.7b	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
	0.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
	32.2b	(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
	15.7b	(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
	32.2b	(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
	32.2b	(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
	32.2b	(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
	62.2b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
	29.5b	(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
✓	32.3b	(*.f64 x 2/3)
	32.6b	(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
	32.7b	(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))

Compiler

Compiled 596 to 489 computations (18% saved)

regimes99.0ms (0.7%)

Counts

86 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3/8)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) -3/8))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x -2)) (sin.f64 x)) (/.f64 -1 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x)))) 3/8))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (sin.f64 x) 3/8)))))
(.f64 8/3 (/.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (/.f64 x -2))))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (+.f64 (-.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) -1) -1) (sin.f64 x)))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (+.f64 (.f64 (pow.f64 x 5) 1/180) (.f64 (pow.f64 x 7) 17/30240))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 2 (sin.f64 (.f64 x 1/2))) (/.f64 1/2 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))))

Outputs
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))

Calls

2 calls:

39.0ms	x
31.0ms	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 1134 to 844 computations (25.6% saved)

regimes53.0ms (0.4%)

Counts

69 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

Outputs
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 832 to 612 computations (26.4% saved)

regimes50.0ms (0.3%)

Counts

66 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

Outputs
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 790 to 582 computations (26.3% saved)

regimes48.0ms (0.3%)

Counts

64 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

Outputs
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 762 to 562 computations (26.2% saved)

regimes46.0ms (0.3%)

Counts

62 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))

Outputs
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 734 to 542 computations (26.2% saved)

regimes45.0ms (0.3%)

Counts

60 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))

Outputs
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 706 to 522 computations (26.1% saved)

regimes86.0ms (0.6%)

Counts

58 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))

Outputs
(/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

Calls

1 calls:

67.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 678 to 502 computations (26% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	2.665273679058227e-47	1.3419133352673446e-36
23.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

25.0ms

112×

body

256

valid

Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes87.0ms (0.6%)

Counts

57 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))

Outputs
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

Calls

1 calls:

69.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 665 to 492 computations (26% saved)

bsearch11.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	2.665273679058227e-47	1.3419133352673446e-36
7.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

10.0ms

48×

body

256

valid

Compiler

Compiled 88 to 75 computations (14.8% saved)

regimes229.0ms (1.6%)

Counts

56 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 2 (sin.f64 x))) 4/3)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))

Outputs
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

Calls

1 calls:

180.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 652 to 482 computations (26.1% saved)

bsearch11.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	2.665273679058227e-47	1.3419133352673446e-36
7.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

10.0ms

48×

body

256

valid

Compiler

Compiled 84 to 71 computations (15.5% saved)

regimes124.0ms (0.8%)

Counts

52 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

Outputs
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))

Calls

1 calls:

107.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 604 to 446 computations (26.2% saved)

bsearch11.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	2.665273679058227e-47	1.3419133352673446e-36
7.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

10.0ms

48×

body

256

valid

Compiler

Compiled 84 to 71 computations (15.5% saved)

regimes179.0ms (1.2%)

Counts

51 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))

Outputs
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)

Calls

1 calls:

118.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 593 to 438 computations (26.1% saved)

bsearch12.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	2.231318096924094e-16	1.6957111228720463e-6
8.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

11.0ms

48×

body

256

valid

Compiler

Compiled 84 to 71 computations (15.5% saved)

regimes161.0ms (1.1%)

Counts

49 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))

Outputs
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)

Calls

1 calls:

145.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 571 to 422 computations (26.1% saved)

bsearch65.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	2.231318096924094e-16	1.6957111228720463e-6
60.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

63.0ms

96×

body

256

valid

Compiler

Compiled 147 to 125 computations (15% saved)

regimes36.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 2)
(+.f64 (.f64 2/3 x) (.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(/.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 x) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (/.f64 x -2)) 3/4)))
(.f64 8/3 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 8/3 (/.f64 (.f64 1/4 (pow.f64 x 2)) (sin.f64 x)))
(.f64 (.f64 1/4 (pow.f64 x 2)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 3/8))
(.f64 4/3 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (/.f64 4/3 (sin.f64 x)) x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (sin.f64 x)))
(.f64 (.f64 4/3 (/.f64 x (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 4/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sin.f64 x))) x)
(.f64 (/.f64 x (sin.f64 x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (sin.f64 x) (.f64 x (sin.f64 (.f64 x 1/2)))))
(/.f64 4/3 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 x 4/3)))
(/.f64 (.f64 x 4/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(/.f64 (.f64 x (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (neg.f64 x)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4/3)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 4/3 (.f64 x (sin.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (/.f64 3/2 x))
(/.f64 (/.f64 (.f64 x 8/3) (sin.f64 x)) (/.f64 2 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (/.f64 2 (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 x 3) 1/18) (+.f64 (.f64 x 2/3) (*.f64 (pow.f64 x 5) 1/180)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (*.f64 4/3 x) (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(.f64 8/3 (+.f64 (.f64 (pow.f64 x 5) 1/480) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (+.f64 (.f64 x 1/32) (.f64 3/4 (/.f64 1 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 x 4/9) (.f64 8/3 (/.f64 1 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 2 (sin.f64 x))) (+.f64 (.f64 x 1/16) (.f64 (/.f64 1 x) 3/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))

Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
29.3b	1	`x`

Compiler

Compiled 549 to 406 computations (26% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

Outputs
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
29.5b	1	`x`

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))

Outputs
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
31.9b	1	`x`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))

Outputs
(/.f64 1 (/.f64 3/2 x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
32.3b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	961

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (<=.f64 x -3022314549036573/151115727451828646838272) (/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x))) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 3/8) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (sin.f64 x)) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (if (<=.f64 x 2028240960365167/5070602400912917605986812821504) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)))
(if (<=.f64 x -3022314549036573/151115727451828646838272) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3) (if (<=.f64 x 2028240960365167/5070602400912917605986812821504) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(/.f64 1 (/.f64 3/2 x))
(*.f64 x 2/3)

Outputs
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (<=.f64 x -3022314549036573/151115727451828646838272) (/.f64 4 (/.f64 (.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/4) (/.f64 2 (sin.f64 x))) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 3/8) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3/8) (sin.f64 x)) (if (<=.f64 x 5142201741628769/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))))
(if (<=.f64 x -4722366482869645/4722366482869645213696) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (if (<=.f64 x 2028240960365167/5070602400912917605986812821504) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)))
(if (<=.f64 x -3022314549036573/151115727451828646838272) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3) (if (<=.f64 x 2028240960365167/5070602400912917605986812821504) (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
(/.f64 1 (+.f64 (.f64 x -3/16) (.f64 3/2 (/.f64 1 x))))
(/.f64 1 (/.f64 3/2 x))
(*.f64 x 2/3)

Compiler

Compiled 352 to 280 computations (20.5% saved)

soundness642.0ms (4.4%)

Algorithm

6×	egg-herbie

Rules

1624×	`rational.json-simplify-51`
1220×	`rational.json-simplify-61`
1220×	`rational.json-simplify-61`
1082×	`rational.json-simplify-44`
1082×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	29	43
2	49	43
3	85	43
4	156	43
5	321	43
6	908	43
7	5842	43
0	377	8278
1	1141	7516
2	6659	7382
0	15	43
1	29	43
2	49	43
3	85	43
4	156	43
5	321	43
6	908	43
7	5842	43
0	264	4894
1	534	4882
2	1406	4882
3	6470	4882
0	15	43
1	29	43
2	49	43
3	85	43
4	156	43
5	321	43
6	908	43
7	5842	43
0	377	8278
1	1141	7516
2	6659	7382

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 296 to 226 computations (23.6% saved)

end192.0ms (1.3%)

Compiler: Compiled 336 to 253 computations (24.7% saved)