Details

analyze534.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.6%	0.1%	0%	0%	0%	8
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	9
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	10
46.1%	46%	53.8%	0.1%	0%	0%	0%	11
52.7%	52.7%	47.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample6.3s (24.6%)

Results

1.8s	1566×	body	1024	valid
1.5s	5683×	body	256	valid
866.0ms	1327×	body	1024	infinite
701.0ms	2126×	body	256	infinite
619.0ms	732×	body	512	valid
343.0ms	85×	body	4096	valid
285.0ms	683×	body	512	infinite
200.0ms	190×	body	2048	valid

Bogosity

preprocess464.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2616×	`rational.json-simplify-2`
1598×	`rational.json-simplify-35`
996×	`rational.json-simplify-48`
836×	`rational.json-simplify-52`
792×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	292
1	76	292
2	137	292
3	242	292
4	498	292
5	948	292
6	2280	292
7	4034	292
8	6011	292
9	6859	292
10	7103	292
11	7244	292
12	7526	292
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))

Outputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle -180))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 a 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 angle 2)) (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 a 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 angle 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 a 180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 angle 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 a 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 a -180))))))
(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 angle 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))
(.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 b 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180)))))
(.f64 (-.f64 (pow.f64 angle 2) (pow.f64 a 2)) (.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180)))))
(.f64 (.f64 2 (.f64 (-.f64 (pow.f64 angle 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 b 180))))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))
(.f64 2 (.f64 (-.f64 (pow.f64 angle 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 b 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify278.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2058×	`rational.json-simplify-35`
1690×	`rational.json-simplify-1`
1278×	`rational.json-simplify-2`
944×	`rational.json-simplify-26`
830×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	32	73
2	53	73
3	89	73
4	184	73
5	350	73
6	850	73
7	2485	73
8	4605	73
9	6333	73
10	6904	73
11	7327	73
12	7380	73
13	7470	73
14	7632	73

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Outputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle -180))))))

eval3.0ms (0%)

Compiler: Compiled 164 to 123 computations (25% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Error

33.0b

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.0b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
▶	33.0b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Status

Error

Program

▶

33.0b

(*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

▶

33.0b

(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize352.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	12.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
✓	22.0b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	22.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 87 to 61 computations (29.9% saved)

series13.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	angle	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
2.0ms	b	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
1.0ms	a	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
1.0ms	b	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
1.0ms	angle	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`bool.json-1`
1730×	`bool.json-2`
1656×	`rational.json-1`
1656×	`rational.json-2`
1228×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	199	130
2	522	130
3	1157	130
4	2613	130
5	5805	130

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))))
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simplify686.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2316×	`rational.json-simplify-2`
1870×	`rational.json-simplify-35`
1060×	`rational.json-simplify-51`
916×	`rational.json-simplify-1`
878×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	7267
1	545	6991
2	1329	6421
3	2700	5945
4	4021	5945
5	4768	5945
6	5749	5945
7	6340	5945
8	6936	5945

Stop Event

1×	node limit

Counts

155 → 148

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
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(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
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(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
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(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
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(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
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(pow.f64 b 2)
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(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
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(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)
(.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
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(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)
(neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
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(.f64 2 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
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(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -1)
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
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(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
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(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
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(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
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(*.f64 2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2))
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(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/2)
(*.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 1/4)
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(*.f64 4 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))
(.f64 1/2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) 2)
(*.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 4)
(.f64 1/4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))
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(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2)
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(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8) 8)
(/.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 16)
(/.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1) 2)
(neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))

Outputs
1
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(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle -1/180))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 0)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 0)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(+.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 0)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 -1 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/2)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 1/4)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 4 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 1/2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) 2)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 4)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 1/4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 4)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8) 8)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 16)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1) 2)
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	12.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	22.0b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	22.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 87 to 61 computations (29.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	a	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	angle	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	angle	@	-inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	a	@	-inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`bool.json-1`
1354×	`bool.json-2`
1298×	`rational.json-1`
1298×	`rational.json-2`
1298×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	166	43
2	420	43
3	862	43
4	1880	43
5	4444	43

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

simplify281.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2076×	`rational.json-simplify-2`
1904×	`rational.json-simplify-35`
1526×	`rational.json-simplify-53`
942×	`rational.json-simplify-1`
888×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	2784
1	179	2742
2	344	2310
3	656	2214
4	1774	2214
5	2906	2214
6	3692	2214
7	3976	2214
8	4654	2214
9	5092	2214
10	5375	2214
11	6059	2214
12	6720	2214
13	7693	2214

Stop Event

1×	node limit

Counts

46 → 52

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 1/180 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))))) 32)

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
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(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 4)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 8)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) 16)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))))) 32)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

eval552.0ms (2.1%)

Compiler: Compiled 9959 to 7580 computations (23.9% saved)

prune82.0ms (0.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	275	24	299
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	277	24	301

Error

30.6b

Counts

301 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
▶	45.3b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	50.1b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	36.2b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
▶	33.0b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
	33.4b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
	33.3b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
	33.1b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	45.3b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	50.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	33.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
	33.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	34.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
	33.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	45.3b	(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	36.2b	(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
	40.9b	(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
▶	41.0b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	36.2b	(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
▶	36.2b	(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
	45.5b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	45.4b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))

Compiler

Compiled 1150 to 940 computations (18.3% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
	12.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	22.0b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	22.1b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 109 to 78 computations (28.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	inf	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	-inf	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`bool.json-1`
1888×	`bool.json-2`
1828×	`rational.json-1`
1172×	`bool.json-3`
998×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	101	19
2	281	19
3	611	19
4	1374	19
5	3512	19
6	6767	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))

simplify356.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2056×	`rational.json-simplify-2`
1380×	`rational.json-simplify-35`
1374×	`rational.json-simplify-1`
1170×	`rational.json-simplify-42`
986×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	690
1	136	690
2	280	690
3	584	690
4	1225	690
5	2337	690
6	2901	690
7	2986	690
8	3074	690
9	3180	690
10	3299	690
11	3626	690
12	3866	690
13	4164	690
14	4753	690
15	5112	690
16	5241	690
17	6945	690
18	7738	690
19	8000	690

Stop Event

1×	node limit

Counts

30 → 32

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) 2)
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)))) 32)

Outputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (pow.f64 angle 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (pow.f64 angle 2))) (.f64 (pow.f64 (PI.f64) 4) (.f64 1/25194240000 (pow.f64 angle 4)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))) (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))))
(+.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (pow.f64 angle 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 1/25194240000 (pow.f64 angle 4))) (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (+.f64 1 (.f64 (pow.f64 (PI.f64) 4) (.f64 1/25194240000 (pow.f64 angle 4)))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (pow.f64 angle 2))) (.f64 (pow.f64 angle 6) (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 1/4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)))) 32)
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))
✓	0.2b	(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	13.9b	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))

Compiler

Compiled 55 to 37 computations (32.7% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
1.0ms	a	@	inf	(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
1.0ms	angle	@	0	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))
0.0ms	a	@	0	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))
0.0ms	b	@	0	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`bool.json-1`
1984×	`bool.json-2`
1252×	`bool.json-3`
1082×	`rational.json-1`
1082×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	147	99
2	379	99
3	804	99
4	1695	99
5	3828	99
6	7008	99

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 1/180) (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (*.f64 angle (PI.f64)) 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 2/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 2/45)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 2/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 2/45))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))) 2/45)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))))

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

simplify1.1s (4.4%)

Algorithm

1×	egg-herbie

Rules

3572×	`rational.json-simplify-35`
3334×	`rational.json-simplify-41`
2180×	`rational.json-simplify-2`
2088×	`rational.json-simplify-53`
866×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	4158
1	231	3966
2	537	3570
3	1438	3570
4	3099	3570
5	3753	3570
6	4072	3570
7	4335	3570
8	4544	3570
9	4751	3570
10	6596	3570
11	6609	3570
12	6611	3570
13	6611	3570
14	6819	3570
15	7027	3570
16	7235	3570
17	7443	3570

Stop Event

1×	node limit

Counts

102 → 75

Calls

Call 1

Inputs
(.f64 -1 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 -1 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 -1 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
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(*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 4))) 8)
(*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 4)))) 16)
(*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 4)))) (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 4))))) 32)
(*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 angle (.f64 (PI.f64) 1/180))
✓	7.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
✓	21.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
✓	22.1b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Compiler

Compiled 77 to 54 computations (29.9% saved)

series5.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	angle	@	inf	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
1.0ms	angle	@	0	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
1.0ms	b	@	0	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
0.0ms	angle	@	inf	(.f64 angle (.f64 (PI.f64) 1/180))
0.0ms	angle	@	0	(.f64 angle (.f64 (PI.f64) 1/180))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`bool.json-1`
1476×	`bool.json-2`
1420×	`rational.json-1`
1420×	`rational.json-2`
1420×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	149	84
2	387	84
3	826	84
4	1892	84
5	4830	84

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

Inputs
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (pow.f64 b 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) 4))) (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 b 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) 1/180)) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle (.f64 (PI.f64) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (PI.f64) (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) (.f64 angle (.f64 (PI.f64) 1/180))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (PI.f64))) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 angle (.f64 (PI.f64) -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (-.f64 (.f64 angle (.f64 (PI.f64) -1/180)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (.f64 angle (.f64 (PI.f64) 1/180))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -1) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) -1/90)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/45))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/45))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 angle (.f64 (PI.f64) 1/180)) (.f64 angle (.f64 (PI.f64) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 angle (.f64 (PI.f64) 1/180)) (.f64 angle (*.f64 (PI.f64) 1/180)))))))

simplify259.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-35`
1026×	`rational.json-simplify-51`
1008×	`rational.json-simplify-1`
914×	`rational.json-simplify-53`
882×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	219	3418
1	493	3406
2	1082	3406
3	2677	3358
4	4453	3318
5	6503	3318
6	7542	3318

Stop Event

1×	node limit

Counts

134 → 130

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (.f64 1/180 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))) (.f64 1/180 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)
(+.f64 0 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)
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Outputs
1
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(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(-.f64 0 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(-.f64 (neg.f64 (PI.f64)) (-.f64 (.f64 angle (.f64 (PI.f64) -1/180)) (PI.f64)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(-.f64 (+.f64 (PI.f64) (.f64 angle (.f64 (PI.f64) 1/180))) (PI.f64))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -1) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(+.f64 (-.f64 -1 (neg.f64 (PI.f64))) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(+.f64 (-.f64 (PI.f64) 1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(+.f64 (+.f64 (PI.f64) -1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -1)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 angle (.f64 (PI.f64) -1/90)) -2)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/45))) -4)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 2 (.f64 angle (*.f64 (PI.f64) 1/45))) 8)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45)))) 16)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/45))) -1) 4)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))
(neg.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 (PI.f64) (.f64 angle 1/180))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	6.1b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
✓	21.9b	(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
	22.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 86 to 61 computations (29.1% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
0.0ms	angle	@	-inf	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
0.0ms	angle	@	inf	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
0.0ms	angle	@	0	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
0.0ms	a	@	inf	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`bool.json-1`
1658×	`bool.json-2`
1574×	`rational.json-1`
1574×	`rational.json-2`
1574×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	185	69
2	492	65
3	1038	65
4	2432	65
5	5599	65

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(*.f64 (PI.f64) (/.f64 angle 180))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 4)) (*.f64 2 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) (*.f64 (pow.f64 a 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) -4))) (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 1/180 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 1/180 (PI.f64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 1/180 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 angle -1/180) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))) (-.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) 1) (-.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 1/180 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 angle (*.f64 (PI.f64) -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 1 (*.f64 angle 1/180))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 (*.f64 angle -1/180) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 angle 1/180) -1) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 1/180 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45))) (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 angle (*.f64 1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 angle (*.f64 1/180 (PI.f64))) (*.f64 angle (*.f64 1/180 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 angle (*.f64 1/180 (PI.f64))) (*.f64 angle (*.f64 1/180 (PI.f64))))))))

simplify371.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1762×	`rational.json-simplify-35`
1630×	`rational.json-simplify-52`
1038×	`rational.json-simplify-2`
860×	`rational.json-simplify-1`
670×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2774
1	379	2774
2	781	2774
3	1749	2582
4	3373	2582
5	4454	2582
6	5305	2582
7	5911	2582
8	6821	2582
9	7281	2582

Stop Event

1×	node limit

Counts

102 → 101

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1/180 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (.f64 -1/180 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))) (.f64 -1/180 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))))
(+.f64 (.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/180 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 7)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 0)
(+.f64 0 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))
(+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(-.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 0)
(-.f64 0 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 1)
(.f64 2 (/.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) -1)
(.f64 1 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2) 1/2)
(.f64 1/2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))
(.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2) 2)
(/.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 1)
(/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) -1)
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 4))) 16)
(neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 0)
(+.f64 0 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))))
(-.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 0)
(/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) -2)) 2)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) -4)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) -4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) -4))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) -4)))) 16)
(neg.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (pow.f64 a 2)))
(+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) 0)
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(+.f64 0 (.f64 angle (.f64 1/180 (PI.f64))))
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(+.f64 -1 (+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))
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(+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (-.f64 (PI.f64) 1))
(+.f64 (-.f64 (PI.f64) 1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(-.f64 (.f64 angle (.f64 1/180 (PI.f64))) 0)
(-.f64 0 (.f64 angle (.f64 (PI.f64) -1/180)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (PI.f64))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 (.f64 angle -1/180) -1)))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -1) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1)
(/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -1)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)
(/.f64 (.f64 2 (.f64 angle (*.f64 (PI.f64) 1/45))) 8)
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(neg.f64 (.f64 angle (.f64 (PI.f64) -1/180)))

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
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(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) 1/22674816000000)) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/34992000))))
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(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
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(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
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(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
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(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
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(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
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(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
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(.f64 (PI.f64) (.f64 1/180 angle))
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(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
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(.f64 1/180 (.f64 angle (PI.f64)))
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(+.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 0)
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(+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(.f64 2 (/.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) -1)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2) 1/2)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2) 2)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
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(/.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 1)
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(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) -1)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2) 2)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 4) 4)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 4)) 8)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 4))) 16)
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 0)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(+.f64 0 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(-.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 0)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 1)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) -2)) 2)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) -4)) 4)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) -4))) 8)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) -4))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) -4)))) 16)
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(neg.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (pow.f64 a 2)))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))
(+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) 0)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 0 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 -1 (-.f64 1 (.f64 angle (.f64 (PI.f64) -1/180))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 -1 (+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (PI.f64))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle -1/180) -1))))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 -1 (.f64 angle -1/180)))))
(.f64 (PI.f64) (-.f64 -1 (+.f64 -1 (.f64 angle -1/180))))
(+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (-.f64 (PI.f64) 1))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (-.f64 (PI.f64) 1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
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(-.f64 (.f64 angle (.f64 1/180 (PI.f64))) 0)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 0 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1)) (neg.f64 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 1 (.f64 angle 1/180))) (PI.f64))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 (.f64 angle -1/180) -1)))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 -1 (.f64 angle -1/180)))))
(.f64 (PI.f64) (-.f64 -1 (+.f64 -1 (.f64 angle -1/180))))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 angle 1/180) -1) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 2 (.f64 angle (*.f64 (PI.f64) 1/45))) 8)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45)))) 16)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(neg.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	12.7b	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))
✓	21.9b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
	22.1b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 116 to 84 computations (27.6% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))
1.0ms	angle	@	0	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))
1.0ms	angle	@	inf	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))
0.0ms	b	@	0	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))
0.0ms	angle	@	-inf	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`bool.json-1`
1784×	`bool.json-2`
1730×	`rational.json-1`
1280×	`bool.json-3`
818×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
1	209	92
2	540	92
3	1188	92
4	2703	92
5	6015	92

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs

(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))

(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16)))) (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))))))

simplify389.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational.json-simplify-35`
1018×	`rational.json-simplify-51`
1008×	`rational.json-simplify-41`
924×	`rational.json-simplify-43`
728×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	5572
1	368	5296
2	872	4720
3	2180	4244
4	4238	4244
5	5734	4244
6	6822	4244
7	7236	4244
8	7573	4244
9	7845	4244

Stop Event

1×	node limit

Counts

76 → 89

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/45 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 1/45 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 4 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/11664000 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3))))
(+.f64 (.f64 1/45 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 4 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3))) (.f64 4 (.f64 (+.f64 (.f64 1/2267481600000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/22674816000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (.f64 1/4534963200000 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))))) (pow.f64 angle 5)))))
(+.f64 (.f64 4 (.f64 (+.f64 (.f64 -1/1469328076800000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/30855889612800000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/881596846080000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (.f64 -1/4407984230400000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))))) (pow.f64 angle 7))) (+.f64 (.f64 1/45 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 4 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3))) (.f64 4 (.f64 (+.f64 (.f64 1/2267481600000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/22674816000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (.f64 1/4534963200000 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))))) (pow.f64 angle 5))))))
(.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 4 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
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Outputs
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(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 2 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 8) 8)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 8) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 8)) 16)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle -1/180))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16))) 4)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16)))) 8)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16)))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 16))))) 16)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 4 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))

eval635.0ms (2.5%)

Compiler: Compiled 20308 to 15540 computations (23.5% saved)

prune209.0ms (0.8%)

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	665	38	703
Fresh	7	12	19
Picked	1	0	1
Done	3	1	4
Total	676	51	727

Error

30.6b

Counts

727 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	36.2b	(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
	50.3b	(/.f64 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	41.1b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
	45.3b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (neg.f64 (pow.f64 a 2)) 4))) 2)
	34.0b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	33.3b	(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	42.8b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
	46.4b	(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
▶	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	46.4b	(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
	45.3b	(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	52.0b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	46.5b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	45.4b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
	45.5b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
▶	45.5b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
	45.3b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	46.5b	(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	46.5b	(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	50.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	33.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
	33.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	34.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
▶	33.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	45.3b	(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	42.8b	(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
	36.2b	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
	42.8b	(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
	36.2b	(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
	42.8b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
	46.5b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
	40.9b	(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	51.3b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	51.3b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	40.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
	41.1b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
	41.1b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
✓	41.0b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	40.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
	41.7b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
	40.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
	40.0b	(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
▶	46.5b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
▶	45.5b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	45.4b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))

Compiler

Compiled 2126 to 1762 computations (17.1% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	12.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
✓	22.0b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
	22.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 96 to 62 computations (35.4% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
0.0ms	b	@	-inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
0.0ms	b	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
0.0ms	a	@	-inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
0.0ms	a	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`bool.json-1`
1894×	`bool.json-2`
1348×	`bool.json-3`
836×	`rational.json-1`
836×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	230	92
2	597	92
3	1284	92
4	2891	92
5	6430	92

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4)) (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))))))

simplify260.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1870×	`rational.json-simplify-35`
902×	`rational.json-simplify-51`
860×	`rational.json-simplify-43`
744×	`rational.json-simplify-26`
734×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	5497
1	373	5221
2	855	4641
3	2104	4165
4	4085	4165
5	4927	4165
6	5926	4165
7	6719	4165
8	7162	4165
9	7573	4165

Stop Event

1×	node limit

Counts

69 → 94

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3))) (.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 2 (.f64 (+.f64 (.f64 1/2267481600000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/22674816000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (.f64 1/4534963200000 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))))) (pow.f64 angle 5)))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/1469328076800000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/30855889612800000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/881596846080000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (.f64 -1/4407984230400000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))))) (pow.f64 angle 7))) (.f64 2 (.f64 (+.f64 (.f64 1/2267481600000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/22674816000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (.f64 1/4534963200000 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))))) (pow.f64 angle 5))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 0)
(+.f64 0 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(-.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 0)
(-.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1)
(.f64 2 (/.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))
(.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2) 1/2)
(.f64 1/2 (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2) 2)
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) -1)
(/.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4)) 8)
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) -1)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 4)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 4))) 16)
(neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4))) 2)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5))) (.f64 (pow.f64 (PI.f64) 7) (.f64 -1/30855889612800000000 (pow.f64 angle 7))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) -2)))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -2)) (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -2)) (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -2)) (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -2 (pow.f64 a 2))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (pow.f64 b 2))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -2)) (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) -2)) (.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -2 (pow.f64 a 2))))
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(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))) (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -2 (pow.f64 a 2))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (pow.f64 b 2))))
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(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 4))) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle -180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
✓	0.2b	(*.f64 (pow.f64 a 2) (PI.f64))
✓	9.4b	(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series4.0ms (0%)

Counts

3 → 0

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
0.0ms	a	@	inf	(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
0.0ms	angle	@	inf	(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
0.0ms	a	@	0	(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
0.0ms	angle	@	0	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`bool.json-1`
1852×	`bool.json-2`
1812×	`rational.json-1`
1168×	`bool.json-3`
982×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	120	63
2	320	63
3	678	63
4	1415	63
5	3365	63
6	6463	63

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(*.f64 (pow.f64 a 2) (PI.f64))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/180) (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/180))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (*.f64 angle (PI.f64)) -1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))))))))

simplify260.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2970×	`rational.json-simplify-41`
2304×	`rational.json-simplify-35`
1854×	`rational.json-simplify-2`
1578×	`rational.json-simplify-53`
816×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	630
1	189	630
2	435	630
3	1400	630
4	2911	630
5	3295	630
6	3466	630
7	3603	630
8	3731	630
9	3859	630
10	5420	630
11	5563	630
12	5688	630
13	5688	630
14	5813	630

Stop Event

1×	node limit

Counts

30 → 35

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 0)
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) 1/2))))
(-.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 0)
(/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64)))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4)))) 32)
(+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(+.f64 0 (*.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 a 2) (.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(/.f64 (.f64 (pow.f64 a 2) (.f64 2 (PI.f64))) 2)
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 (pow.f64 a 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4))))) 32)
(+.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))))
(+.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/180) (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/180))
(-.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 1)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/45)) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 4)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45)))) 32)

Outputs
(+.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 0)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(-.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 0)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 1)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64)))) 2)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) 4) 4)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4)) 8)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) 4))) 16)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4)))) 32)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 0 (*.f64 (pow.f64 a 2) (PI.f64)))
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 a 2) (.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 a 2) (PI.f64))
(-.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (pow.f64 a 2) (.f64 2 (PI.f64))) 2)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4)) 4)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 (pow.f64 a 2) 4))) 8)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4)))) 16)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 a 2) 4))))) 32)
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(+.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/180) (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/180))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(-.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 1)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/45)) 2)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(/.f64 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 4)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45)) 8)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45))) 16)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45)))) 32)
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
✓	0.1b	(.f64 angle (.f64 1/180 (PI.f64)))
	6.1b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))
	21.9b	(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))

Compiler

Compiled 62 to 46 computations (25.8% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
0.0ms	a	@	0	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
0.0ms	angle	@	inf	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
0.0ms	angle	@	-inf	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
0.0ms	a	@	inf	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`bool.json-1`
1556×	`bool.json-2`
1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	177	56
2	465	52
3	1012	52
4	2300	52
5	5167	52

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) 1) (-.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))) (-.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (*.f64 (PI.f64) (-.f64 -1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 angle (*.f64 (PI.f64) -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/180) 1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (-.f64 -1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (-.f64 (+.f64 -1 (*.f64 angle 1/180)) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle (PI.f64)) 1/90) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45))) (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/180 (*.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/180 (*.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/180 (*.f64 angle (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) (*.f64 (pow.f64 a 2) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 8)) (*.f64 2 (*.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))) (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))) (*.f64 (pow.f64 a 2) (*.f64 2 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))))))

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1774×	`rational.json-simplify-35`
1634×	`rational.json-simplify-52`
1210×	`rational.json-simplify-53`
1088×	`rational.json-simplify-41`
740×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2315
1	278	2099
2	560	2045
3	1096	1997
4	2722	1997
5	4482	1997
6	5895	1997
7	7028	1997
8	7842	1997

Stop Event

1×	node limit

Counts

73 → 73

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 -1/11337408000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 -1/11337408000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/15427944806400000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(+.f64 0 (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 -1 (-.f64 1 (.f64 angle (.f64 (PI.f64) -1/180))))
(+.f64 -1 (+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (PI.f64)))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180)))))
(+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(+.f64 (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180))) (PI.f64))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) (neg.f64 (PI.f64)))
(+.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)))
(+.f64 (-.f64 (PI.f64) 1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (-.f64 (PI.f64) 1))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)
(-.f64 0 (.f64 angle (.f64 (PI.f64) -1/180)))
(-.f64 (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) (PI.f64))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180))))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 -1 (.f64 angle 1/180)) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)
(/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -1)
(/.f64 (.f64 (.f64 angle (PI.f64)) 1/90) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)
(/.f64 (.f64 2 (.f64 angle (*.f64 (PI.f64) 1/45))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45)))) 16)
(neg.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) 0)
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))
(-.f64 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) 0)
(/.f64 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) 1)
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) 4)) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) 8) 4)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 8)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) 8)) (.f64 2 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) 8))) 16)

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
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(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 a 2)) -1/90))
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(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(+.f64 (-.f64 (PI.f64) 1) (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (-.f64 (PI.f64) 1))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180)))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 0 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1)) (PI.f64))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 -1 (.f64 angle 1/180))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(-.f64 (.f64 (PI.f64) (-.f64 (+.f64 -1 (.f64 angle 1/180)) 1)) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 (.f64 angle (PI.f64)) 1/90) 2)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (.f64 2 (.f64 angle (*.f64 (PI.f64) 1/45))) 8)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(/.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45)))) 16)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(neg.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) 0)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(-.f64 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) 0)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(/.f64 (.f64 (pow.f64 a 2) (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) 1)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) 4)) 2)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(/.f64 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) 8) 4)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180)))) 8)) 8)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) 8)) (.f64 2 (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) 8))) 16)
(+.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) -1/180))) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 2 (pow.f64 a 2)))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 angle (.f64 (PI.f64) 1/180))
✓	6.1b	(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
	21.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	22.1b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Compiler

Compiled 81 to 57 computations (29.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
1.0ms	a	@	0	(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
1.0ms	angle	@	-inf	(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
0.0ms	a	@	inf	(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
0.0ms	angle	@	inf	(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`bool.json-1`
1390×	`bool.json-2`
1340×	`rational.json-1`
1340×	`rational.json-2`
1340×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	161	55
2	425	55
3	921	55
4	2082	55
5	4681	55

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 2) (/.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 2 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4))))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (*.f64 (pow.f64 a 2) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))))

simplify288.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2252×	`rational.json-simplify-2`
1668×	`rational.json-simplify-35`
1640×	`rational.json-simplify-1`
798×	`rational.json-simplify-43`
732×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	2222
1	211	2102
2	412	1994
3	881	1962
4	2463	1962
5	3664	1962
6	4169	1962
7	4546	1962
8	5342	1962
9	5785	1962
10	6889	1962
11	7018	1962
12	7238	1962
13	7957	1962

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

Inputs
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 1/180 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11664000 (pow.f64 (PI.f64) 3)) (*.f64 -1/34992000 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2267481600000 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/22674816000000 (pow.f64 (PI.f64) 5)) (.f64 1/4534963200000 (pow.f64 (PI.f64) 5)))))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11664000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 (PI.f64) 3)))))))
(+.f64 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2267481600000 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/22674816000000 (pow.f64 (PI.f64) 5)) (.f64 1/4534963200000 (pow.f64 (PI.f64) 5)))))) (+.f64 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4407984230400000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/881596846080000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/1469328076800000000 (pow.f64 (PI.f64) 7)) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7))))))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11664000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(-.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 0)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))) 2)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (.f64 2 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)))))) 32)

Outputs
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
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(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
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(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
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(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
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(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
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(+.f64 0 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 2) (/.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 2))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(-.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 0)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))) 2)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 4)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)))) 8)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))))) 16)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (.f64 2 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)))))) 32)
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	7.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	22.0b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	22.1b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 90 to 65 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	b	@	0	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	angle	@	inf	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	angle	@	-inf	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	b	@	inf	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`bool.json-1`
1142×	`rational.json-simplify-2`
1138×	`bool.json-2`
1082×	`rational.json-1`
1082×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	139	31
2	361	31
3	737	31
4	1600	31
5	3764	31
6	7745	31

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 b 2) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)) (*.f64 (pow.f64 b 2) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

simplify240.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2154×	`rational.json-simplify-2`
1534×	`rational.json-simplify-35`
1172×	`rational.json-simplify-53`
894×	`rational.json-simplify-48`
892×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1302
1	168	1302
2	318	1302
3	622	1254
4	1843	1254
5	2983	1254
6	3721	1254
7	3903	1254
8	4358	1254
9	5230	1254
10	5661	1254
11	6303	1254
12	6904	1254
13	7479	1254

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

Inputs
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (.f64 1/180 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))) (.f64 1/180 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(+.f64 0 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)) (.f64 (pow.f64 b 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)))
(-.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4))))) 32)

Outputs
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 1/180 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/180 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/180 angle)))
(.f64 (pow.f64 b 2) (.f64 1/180 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 1/180 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 angle 3) (pow.f64 b 2)))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 angle 3))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))) (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 angle 3) (*.f64 -1/34992000 (pow.f64 (PI.f64) 3)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (.f64 1/180 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 angle 5) (pow.f64 b 2)))) (.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 angle 3) (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 angle 3))) (.f64 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)) (*.f64 1/22674816000000 (pow.f64 angle 5)))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))) (.f64 1/180 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))))))
(+.f64 (+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 angle 7) (pow.f64 b 2))))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 angle 5) (pow.f64 b 2)))) (.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 angle 3) (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)) (.f64 1/22674816000000 (pow.f64 angle 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 b 2) (pow.f64 angle 7))))) (.f64 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 angle 3)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3))))) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 0 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)) (.f64 (pow.f64 b 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(-.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4)) 4)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 8)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4)))) 16)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 b 2) 4))))) 32)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))

eval325.0ms (1.3%)

Compiler: Compiled 17664 to 13468 computations (23.8% saved)

prune207.0ms (0.8%)

Pruning

62 alts after pruning (59 fresh and 3 done)

	Pruned	Kept	Total
New	613	23	636
Fresh	9	36	45
Picked	0	1	1
Done	3	2	5
Total	625	62	687

Error

30.5b

Counts

687 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	36.2b	(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
	50.3b	(/.f64 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	41.1b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
	45.3b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (neg.f64 (pow.f64 a 2)) 4))) 2)
	34.0b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	33.3b	(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	42.8b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
	48.8b	(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
	46.5b	(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
	45.5b	(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
	42.9b	(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
✓	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
	41.7b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	46.4b	(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
	52.0b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	52.1b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
	45.4b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
	45.5b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
	46.5b	(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
	46.5b	(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	50.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	33.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
	33.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
▶	33.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
	34.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
	38.0b	(.f64 (.f64 2 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	42.8b	(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
	46.4b	(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
▶	36.2b	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
	42.8b	(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
	42.8b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
	46.5b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
	40.9b	(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	45.5b	(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
	51.3b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	51.3b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	40.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
▶	41.1b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
	41.1b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
✓	41.0b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	40.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
	41.7b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
	40.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
▶	42.8b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
	40.0b	(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
✓	46.5b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	48.7b	(.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/8748000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))))
	45.4b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	45.3b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
	52.1b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
	46.5b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
	45.6b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	45.5b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	46.4b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
	45.5b	(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	45.5b	(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
▶	45.3b	(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))

Compiler

Compiled 2530 to 2110 computations (16.6% saved)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	12.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
	22.0b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	22.2b	(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))

Compiler

Compiled 120 to 83 computations (30.8% saved)

series20.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
5.0ms	a	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
1.0ms	angle	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
1.0ms	b	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
1.0ms	a	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1918×	`bool.json-1`
1918×	`bool.json-2`
1322×	`bool.json-3`
990×	`rational.json-1`
990×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	255	108
2	658	104
3	1473	98
4	3394	96
5	7101	96

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

(cos.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))

(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 4)) (*.f64 2 (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))))

simplify255.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2798×	`rational.json-simplify-2`
2060×	`rational.json-simplify-35`
1210×	`rational.json-simplify-41`
856×	`rational.json-simplify-53`
818×	`rational.json-simplify-49`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	146	5494
1	372	5262
2	865	4638
3	1842	4194
4	3396	4194
5	4952	4046
6	5898	4046
7	6731	4046
8	7221	3966
9	7691	3966

Stop Event

1×	node limit

Counts

72 → 80

Calls

Call 1

Inputs
(cos.f64 (PI.f64))
(+.f64 (.f64 1/180 (.f64 angle (*.f64 (sin.f64 (PI.f64)) (PI.f64)))) (cos.f64 (PI.f64)))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (cos.f64 (PI.f64))))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (PI.f64)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (*.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (cos.f64 (PI.f64)))))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -2 (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 -1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (sin.f64 (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 2))))) (.f64 -1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (PI.f64))))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (sin.f64 (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -2 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 3)))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 3))))))) (.f64 -1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (PI.f64)))))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (sin.f64 (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -2 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/34992000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 3)))) (.f64 -1/11664000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 1/1574640000 (.f64 (pow.f64 angle 4) (.f64 (sin.f64 (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 4))))) (.f64 -1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (PI.f64)) (PI.f64))))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(+.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 0)
(+.f64 0 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(-.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 0)
(.f64 1 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 2 (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1/2)
(.f64 1/2 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2)
(/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 4) 4)
(/.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 4)) (.f64 2 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 4))) 16)
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 0)
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 0)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 2)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)

Outputs
(cos.f64 (PI.f64))
-1
(+.f64 (.f64 1/180 (.f64 angle (*.f64 (sin.f64 (PI.f64)) (PI.f64)))) (cos.f64 (PI.f64)))
-1
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (cos.f64 (PI.f64))))
(+.f64 (.f64 (pow.f64 angle 2) (.f64 (.f64 -1 (pow.f64 (PI.f64) 2)) -1/64800)) (+.f64 -1 (.f64 angle (.f64 (.f64 (PI.f64) 0) 1/180))))
(+.f64 -1 (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (neg.f64 (pow.f64 (PI.f64) 2)))) (*.f64 angle 0)))
(+.f64 -1 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) 1/64800)))
(+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (PI.f64)) (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (PI.f64)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (*.f64 (cos.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))) (cos.f64 (PI.f64)))))
(+.f64 (.f64 (pow.f64 angle 2) (.f64 (.f64 -1 (pow.f64 (PI.f64) 2)) -1/64800)) (+.f64 -1 (.f64 angle (.f64 (.f64 (PI.f64) 0) 1/180))))
(+.f64 -1 (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (neg.f64 (pow.f64 (PI.f64) 2)))) (*.f64 angle 0)))
(+.f64 -1 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) 1/64800)))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(cos.f64 (.f64 (+.f64 1 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(.f64 2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (pow.f64 a 2))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
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(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 2 (pow.f64 a 2))))
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(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 (pow.f64 b 2) -2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 2 (pow.f64 a 2))))
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(.f64 -2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (-.f64 1 (.f64 1/180 angle)) (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (pow.f64 b 2)) -2))
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(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (pow.f64 b 2)))
(.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
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(.f64 -2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) -2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 1)
(.f64 -2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) -2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 2)
(.f64 -2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) -2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 4)
(.f64 -2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) -2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 8)
(.f64 -2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) -2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)))) 16)
(.f64 -2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 1/180 (*.f64 (PI.f64) angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) -2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 -2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
✓	0.2b	(*.f64 (pow.f64 b 2) (PI.f64))
✓	10.3b	(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series3.0ms (0%)

Counts

3 → 0

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
0.0ms	angle	@	inf	(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
0.0ms	b	@	0	(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
0.0ms	angle	@	0	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
0.0ms	angle	@	-inf	(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`bool.json-1`
1852×	`bool.json-2`
1812×	`rational.json-1`
1168×	`bool.json-3`
982×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	120	63
2	320	63
3	678	63
4	1415	63
5	3365	63
6	6463	63

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(*.f64 (pow.f64 b 2) (PI.f64))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 1/180) (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 b 2) (*.f64 (*.f64 angle (PI.f64)) 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))) (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))) (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) (*.f64 angle 1/90))))))))

simplify258.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2970×	`rational.json-simplify-41`
2304×	`rational.json-simplify-35`
1854×	`rational.json-simplify-2`
1578×	`rational.json-simplify-53`
816×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	630
1	189	630
2	435	630
3	1400	630
4	2911	630
5	3295	630
6	3466	630
7	3603	630
8	3731	630
9	3859	630
10	5420	630
11	5563	630
12	5688	630
13	5688	630
14	5813	630

Stop Event

1×	node limit

Counts

30 → 35

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 0)
(+.f64 0 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/2))))
(-.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 0)
(/.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64)))) 2)
(/.f64 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 4)))) 32)
(+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 0)
(+.f64 0 (*.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 0)
(/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1)
(/.f64 (.f64 (pow.f64 b 2) (.f64 2 (PI.f64))) 2)
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4))))) 32)
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))) 0)
(+.f64 0 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))))
(+.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/180) (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/180))
(-.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))) 0)
(/.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))) 1)
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(/.f64 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 4)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45)))) 32)

Outputs
(+.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 0)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 0 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(-.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 0)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64)))) 2)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 4) 4)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 4)) 8)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 4))) 16)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 4)))) 32)
(.f64 (pow.f64 b 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 0)
(*.f64 (pow.f64 b 2) (PI.f64))
(+.f64 0 (*.f64 (pow.f64 b 2) (PI.f64)))
(*.f64 (pow.f64 b 2) (PI.f64))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 b 2) (PI.f64))
(-.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 0)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (.f64 (pow.f64 b 2) (.f64 2 (PI.f64))) 2)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4)) 4)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 4))) 8)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4)))) 16)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 (pow.f64 b 2) 4))))) 32)
(*.f64 (pow.f64 b 2) (PI.f64))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))) 0)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(+.f64 0 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(+.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/180) (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/180))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(-.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))) 0)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90))) 1)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(/.f64 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 4)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45)) 8)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45))) 16)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45)))) 32)
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))
	0.9b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	14.0b	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))

Compiler

Compiled 49 to 34 computations (30.6% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))
0.0ms	b	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))
0.0ms	a	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))
0.0ms	a	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))
0.0ms	b	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2034×	`bool.json-1`
2034×	`bool.json-2`
1096×	`rational.json-1`
1096×	`rational.json-2`
1096×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	147	72
2	379	72
3	803	72
4	1695	72
5	3856	72
6	7148	72

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/180))) (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))))) (*.f64 2 (*.f64 2 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/180)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45)))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))))

simplify965.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4694×	`rational.json-simplify-35`
2618×	`rational.json-simplify-2`
1328×	`rational.json-simplify-1`
980×	`rational.json-simplify-53`
882×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	3384
1	179	3384
2	396	3276
3	930	2988
4	2252	2988
5	3908	2988
6	4612	2988
7	4821	2988
8	4985	2988
9	5138	2988
10	6185	2988
11	6185	2988
12	6186	2988
13	6186	2988
14	6339	2988
15	6492	2988
16	6645	2988
17	6798	2988
18	6951	2988
19	7104	2988
20	7257	2988
21	7410	2988
22	7563	2988
23	7563	2988
24	7716	2988
25	7869	2988

Stop Event

1×	node limit

Counts

80 → 48

Calls

Call 1

Inputs
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64)))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (.f64 1/90 (.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1/90 (.f64 (pow.f64 a 2) (PI.f64))))
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(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/180))) (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/180))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(-.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 1)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/45))) 2)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))) 4)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(/.f64 (.f64 2 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45)))) 8)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(/.f64 (.f64 2 (.f64 2 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))))) 16)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45))))) (.f64 2 (.f64 2 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45)))))) 32)
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/180)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/180)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/45)) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45)) 4)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 2/45))) 8)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45)))) 16)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45)))) (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 2/45))))) 32)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 angle -1/180))
✓	6.1b	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))))
	22.0b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	22.1b	(cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))

Compiler

Compiled 87 to 56 computations (35.6% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))))
1.0ms	angle	@	inf	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))))
0.0ms	a	@	inf	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))))
0.0ms	angle	@	-inf	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))))
0.0ms	angle	@	0	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180)))))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`bool.json-1`
1570×	`bool.json-2`
1510×	`rational.json-1`
1510×	`rational.json-2`
1510×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	192	89
2	496	89
3	1061	89
4	2376	89
5	5292	89

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs

(cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)))

(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 (pow.f64 a 2) (cos.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)))))

(*.f64 (PI.f64) (*.f64 angle -1/180))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (pow.f64 a 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 a 2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 a 2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 a 2) 4)))) (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (pow.f64 a 2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 a 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 angle -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180)))) (-.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180)))) (-.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 -1 (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (*.f64 (PI.f64) (-.f64 (+.f64 -1 (*.f64 angle 1/180)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle -1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle -1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) angle) 1/45) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle -1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 angle -1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) angle) 1/45)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) angle) 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle -1/45))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 angle -1/45))) (*.f64 2 (*.f64 (PI.f64) (*.f64 angle -1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) angle) 1/45)) (neg.f64 (*.f64 (*.f64 (PI.f64) angle) 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) angle) 1/45)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle -1/45))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (PI.f64) (*.f64 angle -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (PI.f64) (*.f64 angle -1/180)) (*.f64 (PI.f64) (*.f64 angle -1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (PI.f64) (*.f64 angle -1/180)) (*.f64 (PI.f64) (*.f64 angle -1/180)))))))

simplify202.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1676×	`rational.json-simplify-35`
1344×	`rational.json-simplify-52`
1318×	`rational.json-simplify-51`
742×	`rational.json-simplify-43`
584×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	3562
1	477	3442
2	1059	3334
3	2745	3246
4	5469	3246
5	6246	3246
6	6879	3246
7	7045	3246
8	7387	3246

Stop Event

1×	node limit

Counts

104 → 102

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1/180 (.f64 angle (PI.f64))))
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Outputs
1
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(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)
(cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))
(neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (pow.f64 a 2))) 0)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (pow.f64 a 2))) 0)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (pow.f64 a 2))) 1)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (pow.f64 a 2)))) 2)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 a 2) 4))) 4)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) 4)))) 8)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) 4)))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) 4))))) 16)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(+.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (.f64 angle -1/180)) (PI.f64)))
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 0 (.f64 (PI.f64) (.f64 angle -1/180)))
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) (neg.f64 (PI.f64)))
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 (.f64 (PI.f64) (.f64 angle -1/180)) 0)
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180)))))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 (PI.f64) (-.f64 -1 (-.f64 (.f64 angle 1/180) 1)))
(.f64 (PI.f64) (-.f64 -1 (+.f64 (.f64 angle 1/180) -1)))
(+.f64 (-.f64 1 (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180)))) (-.f64 -1 (PI.f64)))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 (PI.f64) (-.f64 -1 (-.f64 (.f64 angle 1/180) 1)))
(.f64 (PI.f64) (-.f64 -1 (+.f64 (.f64 angle 1/180) -1)))
(+.f64 (-.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) -1)
(.f64 angle (.f64 (PI.f64) -1/180))
(+.f64 (-.f64 -1 (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180)))) (-.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 (PI.f64) (-.f64 -1 (-.f64 (.f64 angle 1/180) 1)))
(.f64 (PI.f64) (-.f64 -1 (+.f64 (.f64 angle 1/180) -1)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 angle -1/180))))
(.f64 angle (.f64 (PI.f64) -1/180))
(-.f64 0 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 angle (.f64 (PI.f64) -1/180))
(-.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) (PI.f64))
(-.f64 (.f64 (PI.f64) (.f64 angle -1/180)) 0)
(.f64 angle (.f64 (PI.f64) -1/180))
(-.f64 (.f64 (PI.f64) (.f64 angle -1/180)) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(.f64 angle (.f64 (PI.f64) -1/180))
(-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (+.f64 -1 (.f64 angle 1/180))))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) -1))))
(.f64 (PI.f64) (-.f64 -1 (-.f64 (.f64 angle 1/180) 1)))
(.f64 (PI.f64) (-.f64 -1 (+.f64 (.f64 angle 1/180) -1)))
(-.f64 (-.f64 (.f64 (PI.f64) (.f64 angle -1/180)) (PI.f64)) (neg.f64 (PI.f64)))
(.f64 angle (.f64 (PI.f64) -1/180))
(-.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 (PI.f64) (-.f64 (+.f64 -1 (.f64 angle 1/180)) 1)))
(-.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) -1)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 (PI.f64) (.f64 angle -1/90)) 2)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 (PI.f64) (.f64 angle -1/180)) 1)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 (.f64 (PI.f64) angle) 1/45) -4)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 (PI.f64) (.f64 angle -1/45)) 4)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 angle -1/45))) 8)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) angle) 1/45)) -8)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) angle) 1/45)) 4)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle -1/45))) -4)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 angle -1/45))) (.f64 2 (.f64 (PI.f64) (.f64 angle -1/45)))) 16)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (PI.f64) angle) 1/45)) (neg.f64 (.f64 (.f64 (PI.f64) angle) 1/45))) 8)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) angle) 1/45)) -1) 8)
(.f64 angle (.f64 (PI.f64) -1/180))
(/.f64 (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle -1/45))) -1) 4)
(.f64 angle (.f64 (PI.f64) -1/180))
(neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 angle (.f64 (PI.f64) -1/180))

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 angle 1/180)
	7.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
	21.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
✓	22.1b	(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))

Compiler

Compiled 98 to 71 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))
0.0ms	angle	@	-inf	(*.f64 angle 1/180)
0.0ms	angle	@	inf	(*.f64 angle 1/180)
0.0ms	angle	@	0	(*.f64 angle 1/180)
0.0ms	angle	@	-inf	(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`bool.json-1`
1596×	`bool.json-2`
1528×	`rational.json-1`
1528×	`rational.json-2`
1020×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	117	32
2	298	32
3	607	32
4	1313	32
5	3135	32
6	6366	32

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))
(*.f64 angle 1/180)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 8)) (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) (cos.f64 (*.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle 1/180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle 1/360) (*.f64 angle 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle 1/180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle 1/180) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle 1/90) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle 1/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle 1/45)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 angle 1/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 angle 1/45))) (*.f64 2 (*.f64 2 (*.f64 angle 1/45)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 angle 1/180) (*.f64 angle 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 angle 1/180) (*.f64 angle 1/180))))))

simplify268.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1980×	`rational.json-simplify-35`
1354×	`rational.json-simplify-1`
1178×	`rational.json-simplify-52`
1046×	`rational.json-simplify-2`
982×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1082
1	205	974
2	518	922
3	1168	922
4	1862	922
5	3040	922
6	3725	922
7	3998	922
8	4372	922
9	5272	922
10	5748	922
11	6219	922
12	6748	922
13	7244	922
14	7739	922

Stop Event

1×	node limit

Counts

54 → 43

Calls

Call 1

Inputs
(cos.f64 (*.f64 2 (PI.f64)))
(+.f64 (.f64 1/180 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 2 (PI.f64))))
(+.f64 (.f64 1/180 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 2 (PI.f64)))))) (cos.f64 (*.f64 2 (PI.f64)))))
(+.f64 (.f64 1/180 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 2 (PI.f64)))))) (cos.f64 (*.f64 2 (PI.f64))))))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 0)
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1)
(.f64 1 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))
(.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 4) 1/4)
(.f64 1/2 (.f64 2 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 4))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 4)
(/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1)
(/.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 8)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 8))) 32)
(+.f64 (*.f64 angle 1/180) 0)
(+.f64 0 (*.f64 angle 1/180))
(+.f64 (.f64 angle 1/360) (.f64 angle 1/360))
(-.f64 (*.f64 angle 1/180) 0)
(/.f64 (*.f64 angle 1/180) 1)
(/.f64 (*.f64 angle 1/90) 2)
(/.f64 (*.f64 angle 1/45) 4)
(/.f64 (.f64 2 (.f64 angle 1/45)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 angle 1/45))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 angle 1/45))) (.f64 2 (.f64 2 (.f64 angle 1/45)))) 32)

Outputs
(cos.f64 (*.f64 2 (PI.f64)))
1
(+.f64 (.f64 1/180 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 2 (PI.f64))))
(cos.f64 (*.f64 2 (PI.f64)))
1
(+.f64 (.f64 1/180 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 2 (PI.f64)))))) (cos.f64 (*.f64 2 (PI.f64)))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (.f64 2 (PI.f64))) (pow.f64 (PI.f64) 2)))) (+.f64 (cos.f64 (.f64 2 (PI.f64))) (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 (*.f64 (PI.f64) angle) 1/180))))
(+.f64 (+.f64 (.f64 (PI.f64) (.f64 0 angle)) 1) (.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 angle 2) 1))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 1/180 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 2 (PI.f64)))))) (cos.f64 (*.f64 2 (PI.f64))))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (.f64 2 (PI.f64))) (pow.f64 (PI.f64) 2)))) (+.f64 (cos.f64 (.f64 2 (PI.f64))) (.f64 (sin.f64 (.f64 2 (PI.f64))) (.f64 (*.f64 (PI.f64) angle) 1/180))))
(+.f64 (+.f64 (.f64 (PI.f64) (.f64 0 angle)) 1) (.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 angle 2) 1))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(cos.f64 (.f64 (-.f64 2 (.f64 1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle -1/180))))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle -1/180))))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle -1/180))))
(cos.f64 (.f64 (+.f64 2 (.f64 -1/180 angle)) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (+.f64 2 (.f64 angle -1/180))))
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(*.f64 1/180 angle)
(+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 0)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(+.f64 0 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 0)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 1)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 1 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))) 1/2)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 4 (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 4) 1/4)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 1/2 (.f64 2 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180))))))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1/2) 2)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 4))
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 4)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 1)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(/.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))) 2)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 4) 4)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180)))) 8) 8)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 8)) 16)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 8)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 angle 1/180)))) 8))) 32)
(cos.f64 (.f64 (PI.f64) (-.f64 2 (.f64 1/180 angle))))
(+.f64 (*.f64 angle 1/180) 0)
(*.f64 1/180 angle)
(+.f64 0 (*.f64 angle 1/180))
(*.f64 1/180 angle)
(+.f64 (.f64 angle 1/360) (.f64 angle 1/360))
(*.f64 1/180 angle)
(-.f64 (*.f64 angle 1/180) 0)
(*.f64 1/180 angle)
(/.f64 (*.f64 angle 1/180) 1)
(*.f64 1/180 angle)
(/.f64 (*.f64 angle 1/90) 2)
(*.f64 1/180 angle)
(/.f64 (*.f64 angle 1/45) 4)
(*.f64 1/180 angle)
(/.f64 (.f64 2 (.f64 angle 1/45)) 8)
(*.f64 1/180 angle)
(/.f64 (.f64 2 (.f64 2 (*.f64 angle 1/45))) 16)
(*.f64 1/180 angle)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 angle 1/45))) (.f64 2 (.f64 2 (.f64 angle 1/45)))) 32)
(*.f64 1/180 angle)

eval254.0ms (1%)

Compiler: Compiled 13797 to 10396 computations (24.7% saved)

prune146.0ms (0.6%)

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	508	18	526
Fresh	17	37	54
Picked	1	0	1
Done	1	6	7
Total	527	61	588

Error

30.5b

Counts

588 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	42.8b	(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
	41.1b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
	34.0b	(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	33.3b	(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
	42.8b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
	48.8b	(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
	45.3b	(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
	46.5b	(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
	46.4b	(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
	45.5b	(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
✓	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
	41.7b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	40.9b	(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	42.8b	(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
	46.4b	(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
	52.1b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
	45.5b	(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
	46.5b	(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
	40.8b	(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (pow.f64 b 2) -2))
	46.5b	(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	50.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
	50.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	33.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
	34.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
	38.1b	(.f64 (.f64 2 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
	38.0b	(.f64 (.f64 2 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	40.8b	(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	42.8b	(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
✓	36.2b	(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
	40.0b	(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
	42.8b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
	46.5b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
	40.9b	(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	45.5b	(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
	51.3b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
	42.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	51.3b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	41.1b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
✓	41.0b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	40.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
	41.7b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
	40.9b	(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	42.8b	(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
	45.5b	(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
✓	42.8b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
✓	46.5b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	52.1b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
	46.5b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
	45.5b	(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	45.5b	(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	52.0b	(.f64 -2 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
	46.5b	(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
	45.3b	(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
	45.4b	(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
	45.3b	(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
	45.5b	(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))))
✓	45.3b	(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
	46.5b	(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))

Compiler

Compiled 1260 to 1051 computations (16.6% saved)

regimes454.0ms (1.8%)

Counts

106 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/8748000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (pow.f64 b 2) -2))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (neg.f64 (pow.f64 a 2)) 4))) 2)
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 -2 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))
(.f64 (.f64 2 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(/.f64 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))))

Outputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Calls

10 calls:

50.0ms	(/.f64 angle 180)
47.0ms	angle
47.0ms	a
47.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
46.0ms	b

Results

Error	Segments	Branch
33.0b	1	`a`
33.0b	1	`b`
33.0b	1	`angle`
33.0b	1	`(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))`
33.0b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
33.0b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.0b	1	`(pow.f64 b 2)`
33.0b	1	`(pow.f64 a 2)`
33.0b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
33.0b	1	`(/.f64 angle 180)`

Compiler

Compiled 2057 to 1525 computations (25.9% saved)

regimes349.0ms (1.4%)

Counts

90 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/8748000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (pow.f64 b 2) -2))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (neg.f64 (pow.f64 a 2)) 4))) 2)
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 -2 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Outputs
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Calls

9 calls:

39.0ms	angle
39.0ms	(/.f64 angle 180)
38.0ms	a
38.0ms	b
37.0ms	(*.f64 (PI.f64) (/.f64 angle 180))

Results

Error	Segments	Branch
33.0b	1	`a`
33.0b	1	`b`
33.0b	1	`angle`
33.0b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
33.0b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.0b	1	`(pow.f64 b 2)`
33.0b	1	`(pow.f64 a 2)`
33.0b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
33.0b	1	`(/.f64 angle 180)`

Compiler

Compiled 1612 to 1185 computations (26.5% saved)

regimes346.0ms (1.3%)

Counts

89 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/8748000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (pow.f64 b 2) -2))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (neg.f64 (pow.f64 a 2)) 4))) 2)
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 -2 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))

Outputs
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))

Calls

9 calls:

41.0ms	a
40.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
40.0ms	angle
38.0ms	b
38.0ms	(/.f64 angle 180)

Results

Error	Segments	Branch
33.1b	1	`a`
33.1b	1	`b`
33.1b	1	`angle`
33.1b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
33.1b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.1b	1	`(pow.f64 b 2)`
33.1b	1	`(pow.f64 a 2)`
33.1b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
33.1b	1	`(/.f64 angle 180)`

Compiler

Compiled 1589 to 1168 computations (26.5% saved)

regimes430.0ms (1.7%)

Counts

87 → 2

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/8748000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (pow.f64 b 2) -2))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (pow.f64 b 2) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 (neg.f64 (pow.f64 a 2)) 4))) 2)
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (+.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/180)) -1) -1))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180)))))))
(.f64 -2 (.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))

Outputs

(*.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

(*.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 1/180 angle)))) (*.f64 -2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))

Calls

9 calls:

81.0ms	(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
78.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
39.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
38.0ms	a
38.0ms	(/.f64 angle 180)

Results

Error	Segments	Branch
34.0b	1	`a`
34.0b	1	`b`
34.0b	1	`angle`
33.0b	2	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
33.0b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.0b	1	`(pow.f64 b 2)`
34.0b	1	`(pow.f64 a 2)`
34.0b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.0b	1	`(/.f64 angle 180)`

Compiler

Compiled 1543 to 1136 computations (26.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.9982036261196e-311	0.0

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes317.0ms (1.2%)

Counts

72 → 2

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.f64 -1/8748000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))

Outputs

(*.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

(*.f64 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Calls

9 calls:

47.0ms	(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
46.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
32.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
31.0ms	b
31.0ms	angle

Results

Error	Segments	Branch
34.0b	1	`a`
34.0b	1	`b`
34.0b	1	`angle`
33.0b	2	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
33.0b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.0b	1	`(pow.f64 b 2)`
34.0b	1	`(pow.f64 a 2)`
34.0b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.0b	1	`(/.f64 angle 180)`

Compiler

Compiled 1207 to 877 computations (27.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2065553527189316e-305	5.573910105442684e-295

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes285.0ms (1.1%)

Counts

65 → 2

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Outputs

(*.f64 (*.f64 2 (neg.f64 (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

(*.f64 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))) (*.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Calls

9 calls:

41.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
41.0ms	(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
29.0ms	a
29.0ms	(/.f64 angle 180)
28.0ms	(*.f64 (PI.f64) (/.f64 angle 180))

Results

Error	Segments	Branch
34.0b	1	`a`
34.0b	1	`b`
34.0b	1	`angle`
33.0b	2	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
33.0b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.0b	1	`(pow.f64 b 2)`
34.0b	1	`(pow.f64 a 2)`
34.0b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.0b	1	`(/.f64 angle 180)`

Compiler

Compiled 1064 to 772 computations (27.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2065553527189316e-305	5.573910105442684e-295

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes245.0ms (1%)

Counts

64 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
(.f64 -2 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 angle (*.f64 (PI.f64) -1/180))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 2 (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 a 2) (.f64 (.f64 -2 (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/17496000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))

Outputs
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)

Calls

9 calls:

29.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
29.0ms	a
28.0ms	(/.f64 angle 180)
28.0ms	b
27.0ms	angle

Results

Error	Segments	Branch
34.0b	1	`a`
34.0b	1	`b`
34.0b	1	`angle`
34.0b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
34.0b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.0b	1	`(pow.f64 b 2)`
34.0b	1	`(pow.f64 a 2)`
34.0b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.0b	1	`(/.f64 angle 180)`

Compiler

Compiled 1044 to 757 computations (27.5% saved)

regimes169.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/180))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 angle (.f64 (.f64 (PI.f64) (pow.f64 a 2)) -1/180)) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 2 (*.f64 angle 1/180))))))
(.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)))

Outputs
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))

Calls

9 calls:

22.0ms	(/.f64 angle 180)
19.0ms	a
19.0ms	b
19.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
19.0ms	angle

Results

Error	Segments	Branch
34.1b	1	`a`
34.1b	1	`b`
34.1b	1	`angle`
34.1b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
34.1b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.1b	1	`(pow.f64 b 2)`
34.1b	1	`(pow.f64 a 2)`
34.1b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.1b	1	`(/.f64 angle 180)`

Compiler

Compiled 644 to 470 computations (27% saved)

regimes146.0ms (0.6%)

Counts

37 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))

Outputs
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))

Calls

9 calls:

17.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
17.0ms	angle
17.0ms	b
16.0ms	(/.f64 angle 180)
16.0ms	a

Results

Error	Segments	Branch
34.1b	1	`a`
34.1b	1	`b`
34.1b	1	`angle`
34.1b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
34.1b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.1b	1	`(pow.f64 b 2)`
34.1b	1	`(pow.f64 a 2)`
34.1b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.1b	1	`(/.f64 angle 180)`

Compiler

Compiled 531 to 386 computations (27.3% saved)

regimes149.0ms (0.6%)

Counts

36 → 2

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))
(.f64 1/90 (.f64 angle (*.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (PI.f64))))
(.f64 angle (.f64 (+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) 1)) -1) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (+.f64 -1 (-.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))))) (*.f64 2 1))
(.f64 -2 (.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle -1/180))))))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))

Outputs
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1)))

Calls

8 calls:

24.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
19.0ms	(pow.f64 b 2)
18.0ms	(/.f64 angle 180)
17.0ms	a
17.0ms	b

Results

Error	Segments	Branch
36.2b	1	`a`
36.2b	1	`b`
36.2b	1	`angle`
34.1b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
35.2b	2	`(pow.f64 b 2)`
36.2b	1	`(pow.f64 a 2)`
36.2b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
36.2b	1	`(/.f64 angle 180)`

Compiler

Compiled 501 to 363 computations (27.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2688081068834795e-291	2.105497521934145e-251

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes88.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))
(.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (*.f64 2 1))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)

Outputs
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1))

Calls

6 calls:

19.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
15.0ms	(pow.f64 b 2)
13.0ms	a
13.0ms	angle
12.0ms	b

Results

Error	Segments	Branch
36.2b	1	`a`
36.2b	1	`b`
36.2b	1	`angle`
34.1b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
35.2b	2	`(pow.f64 b 2)`
36.2b	1	`(pow.f64 a 2)`

Compiler

Compiled 328 to 231 computations (29.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2688081068834795e-291	2.105497521934145e-251

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes75.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (*.f64 angle (PI.f64)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 angle (.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/90))
(.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))

Outputs
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))

Calls

6 calls:

17.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
12.0ms	a
12.0ms	b
11.0ms	angle
8.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
36.2b	1	`a`
36.2b	1	`b`
36.2b	1	`angle`
35.0b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
36.2b	1	`(pow.f64 b 2)`
36.2b	1	`(pow.f64 a 2)`

Compiler

Compiled 284 to 198 computations (30.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2688081068834795e-291	2.105497521934145e-251

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes114.0ms (0.4%)

Counts

20 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))

Outputs
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

28.0ms	angle
27.0ms	b
25.0ms	a
17.0ms	(pow.f64 a 2)
11.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
38.8b	3	`a`
36.0b	3	`b`
41.5b	2	`angle`
36.0b	2	`(pow.f64 b 2)`
39.1b	2	`(pow.f64 a 2)`

Compiler

Compiled 222 to 155 computations (30.2% saved)

bsearch113.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	1.4803072833610096e-77	1.0259724794898073e-65
55.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

46.0ms	210×	body	256	valid
41.0ms	68×	body	1024	valid
17.0ms	39×	body	512	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 612 to 526 computations (14.1% saved)

regimes108.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))

Outputs
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180)))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

26.0ms	b
25.0ms	angle
25.0ms	a
16.0ms	(pow.f64 a 2)
11.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
38.8b	3	`a`
36.0b	3	`b`
41.5b	2	`angle`
36.0b	2	`(pow.f64 b 2)`
39.1b	2	`(pow.f64 a 2)`

Compiler

Compiled 210 to 146 computations (30.5% saved)

bsearch117.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	1.4803072833610096e-77	1.0259724794898073e-65
63.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

47.0ms	72×	body	1024	valid
44.0ms	205×	body	256	valid
16.0ms	38×	body	512	valid
6.0ms	5×	body	2048	valid

Compiler

Compiled 612 to 526 computations (14.1% saved)

regimes104.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))

Outputs
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

25.0ms	b
24.0ms	angle
24.0ms	a
15.0ms	(pow.f64 a 2)
11.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
38.8b	3	`a`
36.1b	3	`b`
41.6b	2	`angle`
36.1b	2	`(pow.f64 b 2)`
39.1b	2	`(pow.f64 a 2)`

Compiler

Compiled 198 to 137 computations (30.8% saved)

bsearch111.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	1.4803072833610096e-77	1.0259724794898073e-65
56.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

46.0ms	221×	body	256	valid
41.0ms	62×	body	1024	valid
12.0ms	31×	body	512	valid
7.0ms	6×	body	2048	valid

Compiler

Compiled 612 to 526 computations (14.1% saved)

regimes99.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 -2 (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) 1/180)))
(.f64 -2 (.f64 (pow.f64 a 2) (.f64 angle (.f64 1/180 (PI.f64)))))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (*.f64 angle (PI.f64)) 1/45)) 2)

Outputs
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

23.0ms	angle
23.0ms	b
23.0ms	a
15.0ms	(pow.f64 a 2)
11.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
40.3b	2	`a`
36.7b	3	`b`
41.6b	3	`angle`
36.8b	2	`(pow.f64 b 2)`
39.7b	2	`(pow.f64 a 2)`

Compiler

Compiled 186 to 129 computations (30.6% saved)

bsearch91.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	3.583987099571271e-106	6.039953669060847e-105
57.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

40.0ms	192×	body	256	valid
31.0ms	47×	body	1024	valid
12.0ms	30×	body	512	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 474 to 400 computations (15.6% saved)

regimes83.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (pow.f64 a 2) (.f64 (*.f64 angle (PI.f64)) -1/90))

Outputs
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

19.0ms	b
19.0ms	angle
19.0ms	a
11.0ms	(pow.f64 a 2)
9.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
40.3b	2	`a`
36.7b	3	`b`
41.6b	3	`angle`
36.8b	2	`(pow.f64 b 2)`
39.7b	2	`(pow.f64 a 2)`

Compiler

Compiled 144 to 100 computations (30.6% saved)

bsearch93.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	3.583987099571271e-106	6.039953669060847e-105
55.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

39.0ms	186×	body	256	valid
35.0ms	51×	body	1024	valid
14.0ms	33×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 474 to 400 computations (15.6% saved)

regimes68.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 (.f64 (pow.f64 b 2) (PI.f64)) (*.f64 angle 1/90))

Outputs
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

16.0ms	a
16.0ms	b
15.0ms	angle
10.0ms	(pow.f64 a 2)
8.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
40.3b	2	`a`
36.7b	3	`b`
41.6b	3	`angle`
36.8b	2	`(pow.f64 b 2)`
39.7b	2	`(pow.f64 a 2)`

Compiler

Compiled 117 to 83 computations (29.1% saved)

bsearch99.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	3.583987099571271e-106	6.039953669060847e-105
60.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

43.0ms	71×	body	1024	valid
38.0ms	176×	body	256	valid
11.0ms	23×	body	512	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 474 to 400 computations (15.6% saved)

regimes61.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))

Outputs
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

14.0ms	angle
14.0ms	b
13.0ms	a
10.0ms	(pow.f64 a 2)
7.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
40.3b	2	`a`
36.7b	3	`b`
41.6b	3	`angle`
36.8b	2	`(pow.f64 b 2)`
39.7b	2	`(pow.f64 a 2)`

Compiler

Compiled 99 to 71 computations (28.3% saved)

bsearch95.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	3.583987099571271e-106	6.039953669060847e-105
58.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

38.0ms	180×	body	256	valid
35.0ms	54×	body	1024	valid
14.0ms	34×	body	512	valid
5.0ms	4×	body	2048	valid

Compiler

Compiled 474 to 400 computations (15.6% saved)

regimes50.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (PI.f64) (pow.f64 b 2)) 1/90))

Outputs
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))

Calls

5 calls:

12.0ms	angle
11.0ms	a
11.0ms	b
7.0ms	(pow.f64 a 2)
6.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
40.3b	2	`a`
36.7b	3	`b`
41.6b	3	`angle`
36.8b	2	`(pow.f64 b 2)`
39.7b	2	`(pow.f64 a 2)`

Compiler

Compiled 72 to 53 computations (26.4% saved)

bsearch92.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	3.583987099571271e-106	6.039953669060847e-105
58.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

41.0ms	185×	body	256	valid
31.0ms	50×	body	1024	valid
14.0ms	35×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 474 to 400 computations (15.6% saved)

regimes40.0ms (0.2%)

Accuracy

Total -17.3b remaining (-47%)

Threshold costs -17.3b (-47%)

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))

Outputs
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))

Calls

5 calls:

10.0ms	angle
9.0ms	a
9.0ms	b
6.0ms	(pow.f64 a 2)
5.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
40.3b	2	`a`
36.8b	3	`b`
41.6b	3	`angle`
36.8b	2	`(pow.f64 b 2)`
39.7b	2	`(pow.f64 a 2)`

Compiler

Compiled 54 to 41 computations (24.1% saved)

bsearch96.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	3.583987099571271e-106	6.039953669060847e-105
58.0ms	-9.601284500820832e-80	-1.4368288037630332e-89

Results

40.0ms	182×	body	256	valid
35.0ms	56×	body	1024	valid
14.0ms	31×	body	512	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 474 to 400 computations (15.6% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	2114

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(if (<=.f64 b -5639005774831203/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 3111305647705269/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 2063137129194805/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -3827688768370271/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 331999078261233/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -2870232579518723/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 2453137384182563/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -750932942315945/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3873374817130363/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/90) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -5767164996986457/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 5293612250078163/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 angle (.f64 (pow.f64 a 2) (.f64 (PI.f64) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -767620341034077/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3873374817130363/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -5030676667000927/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3873374817130363/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))

Outputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle)))) (.f64 -2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 1 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 2)
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 1))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (/.f64 1 1))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (.f64 (pow.f64 b 2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 2 (.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 1)))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(if (<=.f64 b -5639005774831203/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 3111305647705269/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 2063137129194805/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (.f64 2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) -1/180))))) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -3827688768370271/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 331999078261233/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -2870232579518723/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/90))) (if (<=.f64 b 2453137384182563/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -750932942315945/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3873374817130363/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/90) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -5767164996986457/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 5293612250078163/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 angle (.f64 (pow.f64 a 2) (.f64 (PI.f64) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -767620341034077/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3873374817130363/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -5030676667000927/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3873374817130363/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))

Compiler

Compiled 778 to 607 computations (22% saved)

soundness1.0s (4%)

Algorithm

4×	egg-herbie

Rules

2798×	`rational.json-simplify-2`
2076×	`rational.json-simplify-2`
2060×	`rational.json-simplify-35`
2058×	`rational.json-simplify-35`
2058×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	32	73
2	53	73
3	89	73
4	184	73
5	350	73
6	850	73
7	2485	73
8	4605	73
9	6333	73
10	6904	73
11	7327	73
12	7380	73
13	7470	73
14	7632	73
0	80	2784
1	179	2742
2	344	2310
3	656	2214
4	1774	2214
5	2906	2214
6	3692	2214
7	3976	2214
8	4654	2214
9	5092	2214
10	5375	2214
11	6059	2214
12	6720	2214
13	7693	2214
0	20	73
1	32	73
2	53	73
3	89	73
4	184	73
5	350	73
6	850	73
7	2485	73
8	4605	73
9	6333	73
10	6904	73
11	7327	73
12	7380	73
13	7470	73
14	7632	73
0	146	5494
1	372	5262
2	865	4638
3	1842	4194
4	3396	4194
5	4952	4046
6	5898	4046
7	6731	4046
8	7221	3966
9	7691	3966

Stop Event

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

Compiler

Compiled 449 to 336 computations (25.2% saved)

end772.0ms (3%)

Compiler: Compiled 715 to 518 computations (27.6% saved)