Details

analyze522.0ms (2.5%)

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)

sample7.4s (35.5%)

Results

1.8s	5623×	body	256	valid
1.7s	1583×	body	1024	valid
1.3s	1344×	body	1024	infinite
759.0ms	101×	body	4096	valid
757.0ms	2133×	body	256	infinite
447.0ms	689×	body	512	infinite
376.0ms	180×	body	2048	valid
350.0ms	769×	body	512	valid

Bogosity

preprocess87.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1146×	`rational_best-simplify-46`
1072×	`rational_best-simplify-45`
980×	`rational_best-simplify-44`
932×	`rational_best-simplify-2`
722×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	292
1	63	292
2	100	292
3	184	292
4	318	292
5	405	292
6	529	292
7	748	292
8	1249	292
9	2691	260
10	6441	260
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 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (cos.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))) (.f64 2 (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 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
(.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 (cos.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 2 (.f64 (cos.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 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 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 (cos.f64 (.f64 (PI.f64) (/.f64 a 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 angle 2)) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 a 180))) (.f64 2 (sin.f64 (*.f64 (PI.f64) (/.f64 a 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 a 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 angle 2)) (cos.f64 (-.f64 (.f64 (/.f64 a 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
(.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 (cos.f64 (.f64 (PI.f64) (/.f64 b 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 b 180)))))
(.f64 (-.f64 (pow.f64 angle 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 b 180))) (.f64 2 (sin.f64 (*.f64 (PI.f64) (/.f64 b 180))))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 b 180))) (.f64 (-.f64 (pow.f64 angle 2) (pow.f64 a 2)) (sin.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))))))
(.f64 (-.f64 (pow.f64 angle 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 b 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational_best-simplify-2`
1160×	`rational_best-simplify-1`
1102×	`rational_best-simplify-47`
746×	`rational_best-simplify-52`
420×	`trig-simplify-11`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	27	73
2	38	73
3	62	73
4	99	73
5	124	73
6	164	73
7	238	73
8	399	73
9	880	65
10	1749	49
11	3720	49
12	7613	49

Stop Event

1×	node limit

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 131 to 98 computations (25.2% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

33.3b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
▶	53.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
▶	34.7b	(.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))))
▶	34.7b	(.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)))))

Compiler

Compiled 94 to 76 computations (19.1% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	9.9b	(.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)))))
✓	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	26.1b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 87 to 61 computations (29.9% saved)

series14.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	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)))))
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)))))
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)))))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational_best-5`
1196×	`rational_best-2`
1196×	`rational_best-3`
1196×	`rational_best-1`
1194×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	169	130
2	585	130
3	2598	130

Stop Event

1×	node limit

Counts

4 → 82

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 180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 1)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))))) (#(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 180))) (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))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 a 2)) (pow.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 0 (.f64 2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.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) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.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)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.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 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))))

simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

726×	`rational_best-simplify-2`
722×	`rational_best-simplify-1`
658×	`rational_best-simplify-80`
636×	`rational_best-simplify-43`
616×	`rational_best-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	264	7464
1	554	7156
2	1209	5988
3	2573	5988
4	4904	5984

Stop Event

1×	node limit

Counts

166 → 181

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

Outputs
1
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(+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)))
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(+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))
(+.f64 (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4)))
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(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
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(.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 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 0)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.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 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.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 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.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 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 2)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 4)) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 4 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 2)
(/.f64 (.f64 4 (.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)))))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 4 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.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 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 0)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.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) (neg.f64 (pow.f64 a 2)))
(-.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 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (+.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 0 (*.f64 2 (pow.f64 a 2))))
(+.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (neg.f64 (*.f64 2 (pow.f64 a 2))))
(+.f64 (pow.f64 a 2) (+.f64 (pow.f64 b 2) (neg.f64 (*.f64 2 (pow.f64 a 2)))))
(+.f64 (pow.f64 a 2) (+.f64 (pow.f64 b 2) (*.f64 -2 (pow.f64 a 2))))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.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) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 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) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.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) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (.f64 (-.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) (pow.f64 a 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (.f64 (-.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 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.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)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (/.f64 (.f64 (-.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 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 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) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2)
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 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) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	26.1b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 90 to 64 computations (28.9% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best-5`
994×	`rational_best-2`
994×	`rational_best-3`
994×	`rational_best-1`
992×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	150	49
2	503	49
3	2154	49

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(.f64 (.f64 2 (-.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 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))))))) (#(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 180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.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 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (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)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))) (#(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 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.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 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (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)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)))))

simplify177.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational_best-simplify-78`
1254×	`rational_best-simplify-47`
1060×	`rational_best-simplify-80`
1038×	`rational_best-simplify-82`
1014×	`rational_best-simplify-74`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	2920
1	143	2884
2	263	2356
3	455	2308
4	832	2308
5	2921	2308
6	5329	2308
7	7392	2308

Stop Event

1×	node limit

Counts

44 → 45

Calls

Call 1

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

Outputs
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2)))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2)))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2)))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (pow.f64 b 2)))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -2 (pow.f64 a 2))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/17496000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (.f64 -1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 1/11337408000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/17496000 (.f64 (pow.f64 angle 3) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 1/11337408000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/11337408000000 (pow.f64 (*.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (.f64 (PI.f64) 1/90)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (.f64 -1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(+.f64 (.f64 -1/15427944806400000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/11337408000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/17496000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))))
(+.f64 (+.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 1/11337408000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (.f64 -1/15427944806400000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(+.f64 (+.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)))) (+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (+.f64 (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7))) (+.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (.f64 -1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (+.f64 (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)))) (.f64 -1/15427944806400000000 (pow.f64 (*.f64 angle (PI.f64)) 7))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (+.f64 (.f64 -1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 -1/15427944806400000000 (pow.f64 (*.f64 angle (PI.f64)) 7))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 0 (.f64 2 (.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)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.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)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.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 (-.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)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 2)
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(pow.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64)))
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	3.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
✓	56.4b	(cos.f64 (-.f64 (*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2)))

Compiler

Compiled 81 to 49 computations (39.5% saved)

series9.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	angle	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
1.0ms	b	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
1.0ms	a	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
1.0ms	b	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
1.0ms	angle	@	0	(cos.f64 (-.f64 (*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2)))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational_best-5`
1024×	`rational_best-4`
1024×	`rational_best-2`
1024×	`rational_best-3`
1024×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	129
1	162	123
2	531	123
3	2227	123

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

Inputs

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

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

(*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (/.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 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(/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) 1)))))

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best-simplify-48`
1120×	`rational_best-simplify-2`
824×	`rational_best-simplify-132`
674×	`rational_best-simplify-54`
636×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	6029
1	293	5975
2	658	4873
3	1737	4837
4	4111	4837

Stop Event

1×	node limit

Counts

97 → 121

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (*.f64 1/2 (PI.f64))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (*.f64 1/2 (PI.f64)))) (PI.f64)))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (PI.f64)))) (.f64 -1/16200 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (pow.f64 (PI.f64) 3)))) (.f64 -1/16200 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))))
(+.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))) (.f64 -1/16200 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (pow.f64 angle 2) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))) (.f64 -1/16200 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (pow.f64 angle 2) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 2))))))))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 0)
(-.f64 0 (neg.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 0))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))
(.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
(.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)))
(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2))
(/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)
(/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
(/.f64 (.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(+.f64 0 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(pow.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)))
(-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 0)
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 1)
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2))))
(/.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) 2)
(pow.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 1)

Outputs
(cos.f64 (neg.f64 (*.f64 1/2 (PI.f64))))
(cos.f64 (*.f64 (PI.f64) -1/2))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (*.f64 1/2 (PI.f64)))) (PI.f64)))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/90 (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (PI.f64) angle))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/90 (.f64 (PI.f64) (.f64 angle (sin.f64 (neg.f64 (*.f64 1/2 (PI.f64))))))))
(+.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (PI.f64) (.f64 -1/90 (.f64 angle (sin.f64 (*.f64 (PI.f64) -1/2))))))
(+.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (PI.f64) (.f64 angle (.f64 -1/90 (sin.f64 (*.f64 (PI.f64) -1/2))))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (PI.f64)))) (.f64 -1/16200 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (PI.f64) angle))) (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 (PI.f64) (.f64 angle (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))) (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (.f64 (PI.f64) (.f64 -1/90 (.f64 angle (sin.f64 (.f64 (PI.f64) -1/2))))) (+.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (+.f64 (.f64 (PI.f64) (.f64 angle (.f64 -1/90 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (.f64 (PI.f64) (.f64 angle (.f64 -1/90 (sin.f64 (.f64 (PI.f64) -1/2))))) (+.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (pow.f64 (PI.f64) 3)))) (.f64 -1/16200 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (+.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/16200 (pow.f64 (.f64 (PI.f64) angle) 2))) (.f64 1/4374000 (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/90 (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (*.f64 (PI.f64) angle)))))
(+.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (+.f64 (.f64 -1/90 (.f64 (PI.f64) (.f64 angle (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))) (+.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/16200 (pow.f64 (.f64 (PI.f64) angle) 2))) (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (.f64 1/4374000 (pow.f64 (*.f64 (PI.f64) angle) 3))))))
(+.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 -1/16200 (pow.f64 (.f64 (PI.f64) angle) 2))) (.f64 (sin.f64 (.f64 (PI.f64) -1/2)) (+.f64 (.f64 1/4374000 (pow.f64 (.f64 (PI.f64) angle) 3)) (.f64 (PI.f64) (*.f64 -1/90 angle))))))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (*.f64 1/2 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (*.f64 1/2 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64))))
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(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
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(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
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(cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (*.f64 1/2 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (*.f64 1/2 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
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(cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (*.f64 1/2 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (*.f64 1/2 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64)))) (pow.f64 a 2)))
(neg.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 1/2 (PI.f64)))) (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
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(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (+.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 a 2))) (.f64 (cos.f64 (-.f64 (.f64 angle (.f64 1/90 (PI.f64))) (*.f64 1/2 (PI.f64)))) (pow.f64 b 2)))
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(.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2))
(.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2)) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (/.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2)))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2))))
(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (/.f64 (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)) (PI.f64)))) 2) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))))
(/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(/.f64 (.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) 2)
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(pow.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) 1)
(cos.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2)))
(cos.f64 (+.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2)))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(+.f64 0 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(pow.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) (/.f64 (PI.f64) -2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (+.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2)) (/.f64 (PI.f64) -2))))
(+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 0)
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))
(+.f64 0 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)))
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))
(-.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 0)
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 1)
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2))))
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))
(/.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) 2)
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))
(pow.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) 1)
(.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))
(.f64 (/.f64 angle 180) (.f64 (PI.f64) 2))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	9.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
✓	25.5b	(sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 61 to 43 computations (29.5% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best-5`
994×	`rational_best-2`
994×	`rational_best-3`
994×	`rational_best-1`
992×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	152	89
2	511	89
3	2159	89

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (*.f64 (sin.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (+.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (*.f64 (sin.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))) (#(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 2 (/.f64 angle 180)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (/.f64 angle 180)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 angle 180)) (/.f64 (*.f64 (PI.f64) (/.f64 angle 180)) (*.f64 (PI.f64) (/.f64 angle 180))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 1)))))

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best-simplify-47`
880×	`rational_best-simplify-132`
728×	`rational_best-simplify-2`
704×	`rational_best-simplify-54`
672×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	3989
1	281	3551
2	601	3419
3	1398	3371
4	4355	3371

Stop Event

1×	node limit

Counts

101 → 110

Calls

Call 1

Inputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))))
(+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.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 (PI.f64) (.f64 2 (/.f64 angle 180)))) 0)
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))))
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) 0)
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (.f64 (sin.f64 0) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))
(.f64 (/.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))
(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) 1)
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))))
(/.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) 2)
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) 1)
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 0)
(+.f64 0 (*.f64 (PI.f64) (/.f64 angle 180)))
(-.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 0)
(/.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 1)
(/.f64 (.f64 (PI.f64) (/.f64 angle 180)) (/.f64 (.f64 (PI.f64) (/.f64 angle 180)) (*.f64 (PI.f64) (/.f64 angle 180))))
(/.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) 2)
(pow.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 1)

Outputs
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/90 (PI.f64)))
(.f64 (PI.f64) (.f64 1/90 angle))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 -1 (pow.f64 a 2)))
(neg.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
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(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
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(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
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(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 -1 (pow.f64 a 2)))
(neg.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
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(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
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(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(.f64 (/.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(/.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))) 2)
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))
(sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))
(sin.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 2)))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 2))))
(+.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 0)
(*.f64 (PI.f64) (/.f64 angle 180))
(+.f64 0 (*.f64 (PI.f64) (/.f64 angle 180)))
(*.f64 (PI.f64) (/.f64 angle 180))
(-.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 0)
(*.f64 (PI.f64) (/.f64 angle 180))
(/.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 1)
(*.f64 (PI.f64) (/.f64 angle 180))
(/.f64 (.f64 (PI.f64) (/.f64 angle 180)) (/.f64 (.f64 (PI.f64) (/.f64 angle 180)) (*.f64 (PI.f64) (/.f64 angle 180))))
(*.f64 (PI.f64) (/.f64 angle 180))
(/.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))) 2)
(*.f64 (PI.f64) (/.f64 angle 180))
(pow.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 1)
(*.f64 (PI.f64) (/.f64 angle 180))

eval366.0ms (1.8%)

Compiler: Compiled 20625 to 15299 computations (25.8% saved)

prune198.0ms (1%)

Pruning

44 alts after pruning (44 fresh and 0 done)

	Pruned	Kept	Total
New	601	44	645
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	605	44	649

Error

30.9b

Counts

649 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	45.1b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	53.9b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	57.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))
	57.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))))
	51.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))))
	50.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))
	53.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
	37.4b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 1/90 angle)))
	34.6b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	56.1b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) -1/2)))
	62.8b	(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.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)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	59.5b	(.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
▶	40.0b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	58.9b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	51.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	34.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))))
	34.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
▶	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	35.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	53.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	42.9b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	45.1b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	42.9b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	57.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	51.3b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	53.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	34.7b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	44.9b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
	43.0b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
	45.1b	(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
	42.9b	(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (neg.f64 (pow.f64 a 2)))
▶	45.0b	(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
	42.9b	(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 -1 (pow.f64 a 2)))
▶	42.9b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	53.8b	(.f64 (neg.f64 (pow.f64 a 2)) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	54.2b	(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
	54.2b	(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (pow.f64 b 2))
	44.9b	(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (pow.f64 b 2))))
	37.4b	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
▶	45.0b	(.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)))))))
	37.4b	(.f64 1/90 (.f64 (PI.f64) (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	54.2b	(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
	43.0b	(.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 2552 to 2094 computations (17.9% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
	9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	25.8b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Compiler

Compiled 99 to 70 computations (29.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`rational_best-simplify-57`
830×	`rational_best-simplify-44`
652×	`rational_best-simplify-43`
594×	`rational_best-5`
594×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	85	19
2	289	19
3	1254	19
4	5753	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(cos.f64 (.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 0 (neg.f64 (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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 (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 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 1 (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))) (/.f64 1 (/.f64 (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 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (cos.f64 0) (/.f64 (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 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(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))) (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 (/.f64 1 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (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))) (/.f64 1 (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 (/.f64 1 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (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 (/.f64 (cos.f64 0) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2)) (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 1 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2)) (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) 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 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 (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 (*.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))) (cos.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))))

simplify228.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

998×	`rational_best-simplify-2`
832×	`rational_best-simplify-80`
782×	`rational_best-simplify-78`
716×	`rational_best-simplify-24`
710×	`rational_best-simplify-29`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	939
1	205	939
2	375	939
3	1387	939
4	3789	939
5	6259	939

Stop Event

1×	node limit

Counts

45 → 49

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 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)
(-.f64 0 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(.f64 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1)
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 1 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 0) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (.f64 (cos.f64 0) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 (cos.f64 0) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
(.f64 (/.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2))
(.f64 (/.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2))
(.f64 (/.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2))
(.f64 (/.f64 (.f64 (cos.f64 0) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(/.f64 (.f64 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2)
(/.f64 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 2)
(pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(neg.f64 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 angle (PI.f64))
✓	0.5b	(.f64 1/90 (.f64 angle (PI.f64)))
✓	4.4b	(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
✓	25.8b	(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series3.0ms (0%)

Counts

4 → 8

Calls

15 calls:

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

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`rational_best-5`
808×	`rational_best-4`
808×	`rational_best-2`
808×	`rational_best-3`
808×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	120	74
2	399	74
3	1695	74
4	6959	74

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (pow.f64 b 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 1/90 angle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 (PI.f64) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (neg.f64 (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (PI.f64) 2) 2) (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (-.f64 (.f64 (/.f64 (PI.f64) 2) 2) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 (PI.f64) (.f64 1/90 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (PI.f64)) (/.f64 (.f64 angle (PI.f64)) (.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 angle (PI.f64))))))))

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational_best-simplify-2`
910×	`rational_best-simplify-48`
860×	`rational_best-simplify-1`
786×	`rational_best-simplify-54`
756×	`rational_best-simplify-45`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1680
1	336	1680
2	746	1632
3	2054	1632
4	5060	1632

Stop Event

1×	node limit

Counts

70 → 105

Calls

Call 1

Inputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 0)
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 0)
(-.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/45)))) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(.f64 (/.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/45)))) 2))
(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/45)))) 2))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) 2)
(/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)))) 2)
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 0)
(-.f64 0 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (pow.f64 b 2))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 1)
(neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 0)
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))
(+.f64 0 (.f64 (PI.f64) (.f64 1/90 angle)))
(+.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))
(+.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 2) 2)))
(-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 0)
(-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(-.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle))))
(-.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (neg.f64 (/.f64 (PI.f64) 2)))
(-.f64 (.f64 (/.f64 (PI.f64) 2) 2) (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 1/90 angle)))))
(-.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 (/.f64 (PI.f64) 2) 2) (/.f64 (PI.f64) 2)))
(/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 1)
(/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 (PI.f64) (.f64 1/90 angle))))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 2)
(pow.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(+.f64 (*.f64 angle (PI.f64)) 0)
(+.f64 0 (*.f64 angle (PI.f64)))
(-.f64 (*.f64 angle (PI.f64)) 0)
(-.f64 0 (neg.f64 (*.f64 angle (PI.f64))))
(/.f64 (*.f64 angle (PI.f64)) 1)
(/.f64 (.f64 angle (PI.f64)) (/.f64 (.f64 angle (PI.f64)) (*.f64 angle (PI.f64))))
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(pow.f64 (*.f64 angle (PI.f64)) 1)
(neg.f64 (neg.f64 (*.f64 angle (PI.f64))))

Outputs
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (.f64 1/90 angle)))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (.f64 1/90 (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (.f64 1/90 angle))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (.f64 1/90 (PI.f64)))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 (PI.f64) (.f64 1/90 angle))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 (PI.f64) (.f64 1/90 angle))))
(+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 angle (.f64 1/90 (PI.f64)))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 angle (.f64 1/90 (PI.f64))))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (.f64 1/90 (PI.f64))))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 (PI.f64) (.f64 1/90 angle)))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 -1/4374000 (.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 -1/4374000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (pow.f64 b 2))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/708588000000 (.f64 (pow.f64 b 2) (pow.f64 (*.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (pow.f64 b 2))) (.f64 1/708588000000 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 5) (pow.f64 b 2)))))
(+.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (pow.f64 b 2)))
(+.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (pow.f64 b 2)))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (.f64 1/708588000000 (.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 7))) (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (pow.f64 b 2))) (+.f64 (.f64 1/708588000000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 5) (pow.f64 b 2))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 -1/241061637600000000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 7) (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (.f64 1/90 (PI.f64))))) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (.f64 1/90 (PI.f64)))) (pow.f64 b 2)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 0)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 0)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(-.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (cos.f64 0))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/45)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/45)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2)))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/45)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) 2)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)))) 2)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 0)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 0)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(-.f64 0 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 1)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (pow.f64 b 2))) 2)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2)) 1)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 0)
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (.f64 1/90 angle)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 2) 2)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 0)
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (.f64 1/90 angle))))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 (-.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (neg.f64 (/.f64 (PI.f64) 2)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 (.f64 (/.f64 (PI.f64) 2) 2) (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(-.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 (/.f64 (PI.f64) 2) 2) (/.f64 (PI.f64) 2)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 1)
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (/.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 (PI.f64) (.f64 1/90 angle))))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 2)
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 1/90 angle)) 1)
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(+.f64 0 (*.f64 angle (PI.f64)))
(*.f64 angle (PI.f64))
(-.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(-.f64 0 (neg.f64 (*.f64 angle (PI.f64))))
(*.f64 angle (PI.f64))
(/.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (PI.f64)) (/.f64 (.f64 angle (PI.f64)) (*.f64 angle (PI.f64))))
(*.f64 angle (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(*.f64 angle (PI.f64))
(pow.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))
(neg.f64 (neg.f64 (*.f64 angle (PI.f64))))
(*.f64 angle (PI.f64))

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	6.8b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	25.5b	(sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 51 to 37 computations (27.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational_best-5`
868×	`rational_best-2`
868×	`rational_best-3`
868×	`rational_best-1`
866×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	140	41
2	469	41
3	1920	41
4	7543	41

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) (/.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))))

simplify174.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1782×	`rational_best-simplify-132`
1444×	`rational_best-simplify-80`
1308×	`rational_best-simplify-78`
1248×	`rational_best-simplify-2`
942×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1563
1	147	1487
2	277	1439
3	525	1415
4	1590	1415
5	3845	1415
6	6906	1415

Stop Event

1×	node limit

Counts

35 → 42

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 -1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 -1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(+.f64 0 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))))
(-.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(-.f64 0 (neg.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))
(/.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
(/.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))) (/.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))) -2)) 2)
(/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) -1)
(pow.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
(neg.f64 (neg.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 (pow.f64 a 2) (.f64 -1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/4374000 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 -1/90 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (.f64 1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (*.f64 (PI.f64) -1/90))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 -1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 1/4374000 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 -1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/90 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (.f64 1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))) (.f64 -1/708588000000 (.f64 (pow.f64 a 2) (pow.f64 (*.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))))
(.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 -1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 -1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(+.f64 (.f64 1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 -1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))))))
(+.f64 (+.f64 (.f64 1/4374000 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 -1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))))) (.f64 1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 7)))))
(+.f64 (+.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/90 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (.f64 1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))) (.f64 -1/708588000000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 5)))) (.f64 (pow.f64 a 2) (.f64 1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (.f64 (PI.f64) -1/90)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 -1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)))))
(.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 -1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (+.f64 (.f64 -1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 angle (.f64 (PI.f64) -1/90)) (.f64 1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(+.f64 0 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(-.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 0)
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(-.f64 0 (neg.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(/.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(/.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))) (/.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))) -2)) 2)
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) -1)
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(pow.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(neg.f64 (neg.f64 (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(neg.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (neg.f64 (pow.f64 a 2)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	4.5b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
✓	25.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	25.8b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 77 to 45 computations (41.6% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

15 calls:

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

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-5`
864×	`rational_best-4`
864×	`rational_best-2`
864×	`rational_best-3`
864×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	128	84
2	428	84
3	1831	84
4	7483	84

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.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 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 0)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 0)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (/.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.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 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (/.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/180 (.f64 angle (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2))))))))
((#(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 1/180 (.f64 angle (PI.f64))))))) (#(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 (neg.f64 (.f64 1/180 (.f64 angle (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 1/180 (.f64 angle (PI.f64))) (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) (.f64 angle (.f64 (PI.f64) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational_best-simplify-2`
762×	`rational_best-simplify-80`
710×	`rational_best-simplify-44`
638×	`rational_best-simplify-54`
620×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2211
1	394	2211
2	825	2163
3	2214	2163
4	5279	2163

Stop Event

1×	node limit

Counts

85 → 132

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	9.9b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
✓	15.4b	(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
	25.5b	(sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 131 to 97 computations (26% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`rational_best-simplify-47`
1170×	`rational_best-5`
1170×	`rational_best-2`
1170×	`rational_best-3`
1170×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	152
1	185	98
2	614	98
3	2588	98

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) (/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)))))

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-43`
992×	`rational_best-simplify-2`
914×	`rational_best-simplify-1`
674×	`rational_best-simplify-47`
580×	`rational_best-simplify-68`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	4719
1	249	4053
2	548	3889
3	1451	3803
4	3966	3699
5	7081	3699

Stop Event

1×	node limit

Counts

91 → 88

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))))
(+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 0)
(+.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (neg.f64 (/.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(-.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 0)
(-.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (/.f64 0 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(-.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) (+.f64 (/.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (-.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)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 2)
(pow.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 1)
(neg.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fabs.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fabs.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))))
(/.f64 (.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)

Outputs
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1
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 -1 (pow.f64 a 2)))
(neg.f64 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
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(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 -1 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fabs.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.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)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(/.f64 (.f64 (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180))))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180)))))

eval424.0ms (2%)

Compiler: Compiled 24317 to 17800 computations (26.8% saved)

prune263.0ms (1.3%)

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	721	41	762
Fresh	13	26	39
Picked	1	0	1
Done	1	3	4
Total	736	70	806

Error

30.5b

Counts

806 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	44.9b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	45.1b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
	44.6b	(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
	44.6b	(.f64 (pow.f64 a 2) (.f64 -1/90 (*.f64 angle (PI.f64))))
	42.9b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
	42.9b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	53.9b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	54.5b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 1/90 angle)) (/.f64 (PI.f64) 2)))) 2) (pow.f64 b 2))
	57.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))))
	50.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))
	53.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
	37.4b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 1/90 angle)))
	34.6b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	56.1b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) -1/2)))
	62.8b	(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.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)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	52.5b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (pow.f64 b 2))
	59.5b	(.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	39.5b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))
	52.8b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (pow.f64 b 2)))) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	58.9b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
	51.2b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))
	45.1b	(.f64 (.f64 (.f64 2 (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	57.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	51.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	51.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2))))
	34.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
▶	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
▶	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	35.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	54.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	42.9b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	42.7b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	45.1b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
▶	42.9b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	42.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
	46.2b	(.f64 (.f64 (PI.f64) (*.f64 1/90 angle)) (pow.f64 b 2))
	46.2b	(.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))
	57.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	53.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	46.2b	(.f64 (.f64 1/90 (*.f64 angle (PI.f64))) (pow.f64 b 2))
	52.5b	(.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 1/90 angle))))) (pow.f64 b 2))
	34.7b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	43.0b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
✓	45.0b	(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
	58.5b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))
	51.8b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))))
	44.6b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 1/90 angle)))
✓	42.9b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	53.8b	(.f64 (neg.f64 (pow.f64 a 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
	54.2b	(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
	54.2b	(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (pow.f64 b 2))
	44.9b	(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (pow.f64 b 2))))
	37.5b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
▶	37.4b	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	46.2b	(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
	45.0b	(.f64 2 (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	45.0b	(.f64 2 (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
	54.3b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (-.f64 (.f64 1/180 (*.f64 angle (PI.f64))) (/.f64 (PI.f64) 2)))) 2))))
	59.3b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/90)))) 2))))))
	52.6b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) 2) (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	45.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
✓	45.0b	(.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)))))))
	54.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/180 (*.f64 angle (PI.f64))))))))
	45.1b	(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	46.2b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
	44.6b	(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
▶	44.6b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	54.2b	(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
	43.0b	(.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 3903 to 3194 computations (18.2% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
	9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	25.8b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 99 to 66 computations (33.3% saved)

localize13.0ms (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))
✓	11.4b	(.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))))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational_best-simplify-57`
754×	`rational_best-simplify-43`
682×	`rational_best-simplify-47`
676×	`rational_best-5`
674×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	103	63
2	339	63
3	1437	63
4	5812	63

Stop Event

1×	node limit

Counts

3 → 27

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) (/.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))))))

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational_best-simplify-132`
1344×	`rational_best-simplify-80`
1242×	`rational_best-simplify-78`
776×	`rational_best-simplify-135`
702×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	567
1	116	567
2	274	567
3	793	567
4	3397	567
5	7487	567

Stop Event

1×	node limit

Counts

27 → 33

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 (PI.f64))) 0)
(-.f64 0 (neg.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 1)
(/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))))
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 2 (pow.f64 a 2)))) 2)
(pow.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 1)
(neg.f64 (neg.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))))
(+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(+.f64 0 (*.f64 (pow.f64 a 2) (PI.f64)))
(-.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 a 2) (PI.f64))))
(/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 a 2) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 2 (pow.f64 a 2))) 2)
(pow.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)
(+.f64 0 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))))
(-.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)
(-.f64 0 (neg.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)
(/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/45))) 2)
(pow.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)
(neg.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))

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 (PI.f64))) 0)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(-.f64 0 (neg.f64 (.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 (PI.f64))) 1)
(.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))) (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) (.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 angle (.f64 (PI.f64) (*.f64 2 (pow.f64 a 2)))) 2)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(pow.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)))
(neg.f64 (neg.f64 (.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) (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) (PI.f64)) 0)
(*.f64 (pow.f64 a 2) (PI.f64))
(-.f64 0 (neg.f64 (*.f64 (pow.f64 a 2) (PI.f64))))
(*.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) (PI.f64)) (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 a 2) (PI.f64))))
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 2 (pow.f64 a 2))) 2)
(*.f64 (pow.f64 a 2) (PI.f64))
(pow.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(*.f64 (pow.f64 a 2) (PI.f64))
(neg.f64 (neg.f64 (*.f64 (pow.f64 a 2) (PI.f64))))
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(+.f64 0 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(-.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(-.f64 0 (neg.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/45))) 2)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(pow.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(neg.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
✓	0.4b	(*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
	1.1b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	11.7b	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))

Compiler

Compiled 55 to 39 computations (29.1% saved)

series13.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
2.0ms	a	@	inf	(.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
1.0ms	angle	@	0	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1.0ms	b	@	0	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1.0ms	a	@	0	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`rational_best-5`
852×	`rational_best-4`
852×	`rational_best-2`
852×	`rational_best-3`
852×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	97
1	127	97
2	425	97
3	1818	97
4	7371	97

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

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

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) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.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) 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) (/.f64 (*.f64 (*.f64 angle (PI.f64)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) (*.f64 (*.f64 angle (PI.f64)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle (PI.f64)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 neg.f64 (neg.f64 (*.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 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))

((#(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) 1/90)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) (/.f64 (*.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 /.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))))))

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational_best-simplify-82`
984×	`rational_best-simplify-80`
958×	`rational_best-simplify-132`
888×	`rational_best-simplify-78`
754×	`rational_best-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	4173
1	149	4065
2	318	3777
3	825	3777
4	2931	3777
5	5886	3777

Stop Event

1×	node limit

Counts

111 → 59

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 (pow.f64 a 2))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(*.f64 1/90 (pow.f64 b 2))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(*.f64 1/90 (pow.f64 b 2))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(*.f64 1/90 (pow.f64 b 2))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(*.f64 -1/90 (pow.f64 a 2))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(*.f64 -1/90 (pow.f64 a 2))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(+.f64 (.f64 1/90 (pow.f64 b 2)) (.f64 -1/90 (pow.f64 a 2)))
(.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))))
(+.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))))
(+.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 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)
(+.f64 0 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))))
(-.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 0)
(-.f64 0 (neg.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))
(/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 1)
(/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))) (/.f64 (.f64 (.f64 angle (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) (.f64 (.f64 angle (PI.f64)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45))))
(/.f64 (.f64 (.f64 angle (PI.f64)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) 2)
(pow.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90))) 1)
(neg.f64 (neg.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (PI.f64) 1/90)))))
(+.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(+.f64 0 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(-.f64 0 (neg.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(/.f64 (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45) 2)
(pow.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(neg.f64 (neg.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 0)
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 1)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) (/.f64 (.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))))
(/.f64 (.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) 2)
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90)) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) 1/90))))

Outputs
(.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 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 1/90 (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 1/90 angle)))
(.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))))
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(/.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45) 2)
(*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (neg.f64 (*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(*.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.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) 1/90)) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(-.f64 0 (neg.f64 (.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) 1/90)) 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) 1/90)) (/.f64 (.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))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/45)) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (PI.f64)))
(pow.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)))
(neg.f64 (neg.f64 (.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)))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	6.8b	(.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2)))
	25.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
	26.1b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 77 to 50 computations (35.1% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`rational_best-5`
898×	`rational_best-4`
898×	`rational_best-2`
898×	`rational_best-3`
898×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	138	37
2	454	37
3	1922	37
4	7762	37

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (pow.f64 a 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 (pow.f64 a 2) -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (pow.f64 a 2))))))))

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational_best-simplify-78`
1328×	`rational_best-simplify-47`
1060×	`rational_best-simplify-80`
1040×	`rational_best-simplify-82`
1012×	`rational_best-simplify-74`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	67	1554
1	131	1518
2	248	1470
3	444	1446
4	839	1438
5	3129	1436
6	5604	1436
7	7637	1436

Stop Event

1×	node limit

Counts

34 → 42

Calls

Call 1

Inputs
(.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 -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 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))))
(-.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 0)
(-.f64 0 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 a 2))))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 a 2))))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 a 2))) -1)
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -4)) 2)
(pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 1)
(neg.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 a 2))))

Outputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(+.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 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 -1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 angle (.f64 -1/90 (PI.f64))) (.f64 1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 -1/90 (.f64 angle (PI.f64))) (.f64 1/17496000 (pow.f64 (*.f64 angle (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 (.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 -1/11337408000000 (.f64 (pow.f64 a 2) (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (+.f64 (.f64 (pow.f64 a 2) (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 (pow.f64 a 2) (.f64 -1/11337408000000 (pow.f64 (*.f64 angle (PI.f64)) 5)))))
(+.f64 (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)))))
(.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 angle (*.f64 -1/90 (PI.f64)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 angle (.f64 -1/90 (PI.f64))) (.f64 1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 -1/90 (.f64 angle (PI.f64))) (.f64 1/17496000 (pow.f64 (*.f64 angle (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 (+.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 1/15427944806400000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 7)))) (.f64 -1/11337408000000 (.f64 (pow.f64 a 2) (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7))) (+.f64 (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (+.f64 (.f64 (pow.f64 a 2) (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 (pow.f64 a 2) (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 -1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (.f64 -1/90 (PI.f64)))) (+.f64 (.f64 1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/17496000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 angle (*.f64 -1/90 (PI.f64)))))))
(.f64 (pow.f64 a 2) (+.f64 (+.f64 (.f64 -1/11337408000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 1/15427944806400000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/17496000 (pow.f64 (*.f64 angle (PI.f64)) 3)))))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 0)
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(+.f64 0 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))))
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(-.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 0)
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(-.f64 0 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 a 2))))
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 1)
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 a 2)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 a 2))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))
(.f64 (/.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 (pow.f64 a 2) (.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (/.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 (pow.f64 a 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 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (/.f64 (pow.f64 a 2) (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
(.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a a) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/180))))) 2))) (/.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a a) 2) (/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/90))) 2))) (/.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 a 2))) -1)
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -4)) 2)
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) 1)
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))
(neg.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 a 2))))
(.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 angle (.f64 (PI.f64) 1/180)))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 a 2) -2))

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	25.8b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
✓	25.8b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))

Compiler

Compiled 173 to 127 computations (26.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`rational_best-simplify-57`
830×	`rational_best-simplify-44`
652×	`rational_best-simplify-43`
594×	`rational_best-5`
594×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	85	19
2	289	19
3	1254	19
4	5752	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (*.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2)) (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2)) (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)))))))))

simplify222.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

964×	`rational_best-simplify-2`
832×	`rational_best-simplify-80`
782×	`rational_best-simplify-78`
716×	`rational_best-simplify-24`
710×	`rational_best-simplify-29`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	939
1	209	939
2	382	939
3	1377	939
4	3758	939
5	6229	939

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/1574640000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (+.f64 1 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
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(neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))

Outputs
1
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(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/45)))) 2) (.f64 (cos.f64 0) (/.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))
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(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)
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(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))
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(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2) 2)
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))

eval359.0ms (1.7%)

Compiler: Compiled 20994 to 15395 computations (26.7% saved)

prune258.0ms (1.2%)

Pruning

80 alts after pruning (75 fresh and 5 done)

	Pruned	Kept	Total
New	602	26	628
Fresh	13	49	62
Picked	0	1	1
Done	3	4	7
Total	618	80	698

Error

30.4b

Counts

698 → 80

Alt Table

Click to see full alt table

Status	Error	Program
	46.2b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
	44.9b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	45.1b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
	44.6b	(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
	42.9b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))))
	42.9b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
▶	53.9b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	54.5b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 1/90 angle)) (/.f64 (PI.f64) 2)))) 2) (pow.f64 b 2))
	57.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))))
	50.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))
	53.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))) (cos.f64 (+.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))))
	37.4b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 1/90 angle)))
	34.6b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	56.1b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) -1/2)))
	42.9b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	42.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	62.8b	(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.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)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	52.5b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (pow.f64 b 2))
	54.1b	(.f64 (.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (/.f64 (PI.f64) 2)))) 2) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	59.5b	(.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	39.5b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))
	52.8b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (pow.f64 b 2)))) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	58.9b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
	51.2b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))
	45.1b	(.f64 (.f64 (.f64 2 (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	57.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	57.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
▶	51.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2))))
	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/45)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/45)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/45)))) 2)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/45)))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	39.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4)) 1)))))
	36.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (+.f64 1 (.f64 -1/64800 (pow.f64 (*.f64 angle (PI.f64)) 2))))))
▶	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))
✓	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	35.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2) (/.f64 1 1)))
	35.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 1) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	35.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	54.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	54.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
▶	42.9b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	42.7b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	45.0b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	45.1b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	42.9b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2))))
	42.9b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	42.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
	43.5b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) 1)
	62.6b	(.f64 (.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a a) 2) (/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/90))) 2))) (/.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	54.1b	(.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	44.6b	(.f64 (.f64 (PI.f64) -1/90) (*.f64 angle (pow.f64 a 2)))
	46.2b	(.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))
	53.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	46.2b	(.f64 (.f64 1/90 (*.f64 angle (PI.f64))) (pow.f64 b 2))
	52.5b	(.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 1/90 angle))))) (pow.f64 b 2))
	34.7b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	43.0b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
✓	45.0b	(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
	58.5b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))
	51.8b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))))
✓	42.9b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	53.8b	(.f64 (neg.f64 (pow.f64 a 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
	54.2b	(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
	54.2b	(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (pow.f64 b 2))
	44.9b	(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (pow.f64 b 2))))
	44.6b	(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
	37.5b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	44.6b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
	46.2b	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (pow.f64 b 2))))
	54.3b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (-.f64 (.f64 1/180 (*.f64 angle (PI.f64))) (/.f64 (PI.f64) 2)))) 2))))
	45.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
✓	45.0b	(.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)))))))
	54.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/180 (*.f64 angle (PI.f64))))))))
	45.1b	(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	46.2b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
▶	44.6b	(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
✓	44.6b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	54.2b	(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (*.f64 1/2 (PI.f64))))))
	43.0b	(.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 4704 to 3860 computations (17.9% saved)

localize99.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	25.8b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	25.8b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))

Compiler

Compiled 239 to 181 computations (24.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
	0.2b	(*.f64 angle (PI.f64))
✓	11.5b	(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational_best-simplify-57`
754×	`rational_best-simplify-43`
682×	`rational_best-simplify-47`
676×	`rational_best-5`
674×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	103	48
2	339	48
3	1439	48
4	5814	48

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))) (/.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 angle (*.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 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90)))))))) (#(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 (PI.f64) (*.f64 angle -1/90))) (/.f64 (*.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 /.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) (*.f64 angle -1/90)))))))))

simplify181.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational_best-simplify-44`
1204×	`rational_best-simplify-132`
1064×	`rational_best-simplify-80`
996×	`rational_best-simplify-78`
996×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	1584
1	92	1584
2	221	1584
3	628	1584
4	3626	1584
5	6957	1584

Stop Event

1×	node limit

Counts

66 → 27

Calls

Call 1

Inputs
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 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 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 0)
(+.f64 0 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))))
(-.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 0)
(-.f64 0 (neg.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(/.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 1)
(/.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) (/.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(/.f64 (.f64 2 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64)))) 2)
(pow.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 1)
(neg.f64 (neg.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(+.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 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(-.f64 0 (neg.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 1)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (.f64 angle -1/90))) (/.f64 (.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 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/45))) 2)
(pow.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 1)
(neg.f64 (neg.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))))

Outputs
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(+.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 0)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(+.f64 0 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(-.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 0)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(-.f64 0 (neg.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(/.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 1)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(/.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) (/.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(/.f64 (.f64 2 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64)))) 2)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(pow.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))) 1)
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(neg.f64 (neg.f64 (.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))
(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))
(.f64 (PI.f64) (.f64 angle (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(-.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 0)
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(-.f64 0 (neg.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 1)
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (.f64 angle -1/90))) (/.f64 (.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) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/45))) 2)
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(pow.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90))) 1)
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
(neg.f64 (neg.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))))
(.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/90)
(.f64 angle (.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -1/90))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (pow.f64 a 2) (.f64 angle (*.f64 (PI.f64) -1/90)))
(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))
✓	0.2b	(*.f64 angle 1/90)
✓	2.5b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
✓	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series6.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`rational_best-5`
822×	`rational_best-2`
822×	`rational_best-3`
822×	`rational_best-1`
820×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	94
1	142	94
2	444	94
3	1810	94
4	7214	94

Stop Event

1×	node limit

Counts

4 → 58

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (.f64 (pow.f64 a 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (pow.f64 a 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (pow.f64 a 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle 1/90) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle 1/90))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle 1/90) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 angle 1/90)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle 1/90) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle 1/90) (/.f64 (.f64 angle 1/45) (.f64 angle 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle 1/45) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle 1/90) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 angle 1/90)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) (/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))))

simplify133.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational_best-simplify-48`
1310×	`rational_best-simplify-2`
716×	`rational_best-simplify-44`
666×	`rational_best-simplify-49`
660×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	3756
1	349	3674
2	723	3464
3	1842	3464
4	4125	3464

Stop Event

1×	node limit

Counts

118 → 120

Calls

Call 1

Inputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))))) (.f64 1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (.f64 (pow.f64 a 2) (PI.f64))))) (+.f64 (.f64 1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3))))))))
(.f64 -1 (.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))))
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 1/90 angle)
(*.f64 -1/2 (PI.f64))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 1/90 (*.f64 angle (PI.f64))))
(+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(-.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 0)
(-.f64 0 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) 1)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (cos.f64 0))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))))))
(.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2)))) -1)
(.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))))
(.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/45) -1)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2)))))
(.f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/45) -1)))) 2))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2)))
(.f64 (/.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/45) -1)))) 2))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2))
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 1)
(/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))
(/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))) -1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) -2) -2)
(/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) 2)
(pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) 1)
(neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 0)
(-.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (.f64 (pow.f64 a 2) -2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (pow.f64 a 2)) -1)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 1)
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))
(neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (pow.f64 a 2)))
(+.f64 (*.f64 angle 1/90) 0)
(+.f64 0 (*.f64 angle 1/90))
(-.f64 (*.f64 angle 1/90) 0)
(-.f64 0 (neg.f64 (*.f64 angle 1/90)))
(/.f64 (*.f64 angle 1/90) 1)
(/.f64 (.f64 angle 1/90) (/.f64 (.f64 angle 1/45) (*.f64 angle 1/45)))
(/.f64 (*.f64 angle 1/45) 2)
(pow.f64 (*.f64 angle 1/90) 1)
(neg.f64 (neg.f64 (*.f64 angle 1/90)))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 0)
(+.f64 0 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 0)
(-.f64 0 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 1)
(/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) (/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)) 2)
(pow.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))

Outputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (*.f64 (PI.f64) angle))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) (*.f64 -1/90 angle))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) (.f64 -1/90 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) angle))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/90 angle))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) (.f64 -1/90 angle))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
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(+.f64 (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 angle))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
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(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/90 angle)) (.f64 1/4374000 (pow.f64 (*.f64 (PI.f64) angle) 3))))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/90 angle)) (.f64 1/4374000 (pow.f64 (.f64 (PI.f64) angle) 3)))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
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(+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/90 angle)) (.f64 1/4374000 (pow.f64 (.f64 (PI.f64) angle) 3)))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (*.f64 -1 (PI.f64))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
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(cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
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(cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (*.f64 -1 (PI.f64))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
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(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
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(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (.f64 -1 (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (neg.f64 (pow.f64 a 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (neg.f64 (pow.f64 a 2)))
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(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(-.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 1)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (.f64 (pow.f64 a 2) -2)) 2)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (pow.f64 a 2)) -1)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2))) 1)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (neg.f64 (pow.f64 a 2)))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))) (pow.f64 a 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (+.f64 -1/2 (*.f64 angle 1/90))))))
(+.f64 (*.f64 angle 1/90) 0)
(*.f64 angle 1/90)
(+.f64 0 (*.f64 angle 1/90))
(*.f64 angle 1/90)
(-.f64 (*.f64 angle 1/90) 0)
(*.f64 angle 1/90)
(-.f64 0 (neg.f64 (*.f64 angle 1/90)))
(*.f64 angle 1/90)
(/.f64 (*.f64 angle 1/90) 1)
(*.f64 angle 1/90)
(/.f64 (.f64 angle 1/90) (/.f64 (.f64 angle 1/45) (*.f64 angle 1/45)))
(*.f64 angle 1/90)
(/.f64 (*.f64 angle 1/45) 2)
(*.f64 angle 1/90)
(pow.f64 (*.f64 angle 1/90) 1)
(*.f64 angle 1/90)
(neg.f64 (neg.f64 (*.f64 angle 1/90)))
(*.f64 angle 1/90)
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 0)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(+.f64 0 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 0)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(-.f64 0 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 1)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) (/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)) 2)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(pow.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)) 1)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))
(neg.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 1/90 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (*.f64 (PI.f64) 1/90)))
(.f64 (PI.f64) (+.f64 -1/2 (.f64 angle 1/90)))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	6.8b	(.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	26.1b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 74 to 54 computations (27% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`rational_best-5`
862×	`rational_best-2`
862×	`rational_best-3`
862×	`rational_best-1`
860×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	138	37
2	461	37
3	1888	37
4	7511	37

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(.f64 (.f64 2 (neg.f64 (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 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (*.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (neg.f64 (pow.f64 a 2)) (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 (pow.f64 a 2) -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))))

simplify215.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1536×	`rational_best-simplify-135`
1468×	`rational_best-simplify-54`
840×	`rational_best-simplify-2`
828×	`rational_best-simplify-47`
704×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1482
1	144	1446
2	265	1398
3	491	1374
4	1088	1374
5	5590	1374
6	6478	1374
7	7467	1374

Stop Event

1×	node limit

Counts

34 → 38

Calls

Call 1

Inputs
(.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 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 0)
(+.f64 0 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(+.f64 (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(-.f64 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 0)
(-.f64 0 (neg.f64 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(/.f64 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
(/.f64 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (pow.f64 a 2) -4)) 2)
(pow.f64 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
(neg.f64 (neg.f64 (.f64 (.f64 (pow.f64 a 2) -2) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))

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

localize80.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
	25.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	25.8b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	25.8b	(cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))

Compiler

Compiled 196 to 145 computations (26% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational_best-2`
1318×	`rational_best-3`
1318×	`rational_best-1`
1316×	`rational_best-5`
1314×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	122
1	207	74
2	699	74
3	2927	74

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs

(cos.f64 (*.f64 (*.f64 (PI.f64) (/.f64 angle 180)) 2))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2)) (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (/.f64 angle 180) 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(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 180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.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)))) (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)))))

simplify212.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1006×	`rational_best-simplify-48`
798×	`rational_best-simplify-2`
608×	`rational_best-simplify-43`
590×	`rational_best-simplify-132`
522×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	6239
1	319	5889
2	570	5865
3	1259	5865
4	2887	5865
5	6174	5865

Stop Event

1×	node limit

Counts

77 → 110

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/1574640000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (+.f64 1 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/1574640000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (+.f64 1 (+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/382637520000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (-.f64 (/.f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) (pow.f64 b 2)))
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(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 b 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
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(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
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(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 (-.f64 (.f64 -1/964246550400000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/15427944806400000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/194400 (.f64 (-.f64 (.f64 1/2125764000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/11337408000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (.f64 -1/194400 (.f64 (-.f64 (.f64 -1/8748000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 1/125971200000 (.f64 (-.f64 (.f64 -1/8748000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 4)))))) (pow.f64 angle 7)) (+.f64 (.f64 (-.f64 (.f64 -1/8748000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 angle 3)) (.f64 (-.f64 (.f64 1/2125764000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/11337408000000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) (.f64 -1/194400 (.f64 (-.f64 (.f64 -1/8748000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) (.f64 -1/17496000 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (pow.f64 angle 5)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
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(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
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(/.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 4) 2)
(pow.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)

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

eval569.0ms (2.7%)

Compiler: Compiled 32372 to 24817 computations (23.3% saved)

prune259.0ms (1.2%)

Pruning

87 alts after pruning (79 fresh and 8 done)

	Pruned	Kept	Total
New	725	22	747
Fresh	13	57	70
Picked	0	1	1
Done	2	7	9
Total	740	87	827

Error

30.4b

Counts

827 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	46.2b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 angle 1/90)))
	44.9b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	45.1b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
	44.6b	(.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle -1/90)))
	51.7b	(.f64 (pow.f64 a 2) (neg.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/45) -1)))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2)))))))
	53.9b	(.f64 (pow.f64 a 2) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))) (/.f64 1 (cos.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1/2))))) (cos.f64 (.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1/2))))))
	42.9b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	54.0b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 angle (.f64 (PI.f64) 1/90))))))
✓	53.9b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	54.7b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))))
	54.8b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/90)))))
	55.0b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	55.4b	(.f64 (pow.f64 a 2) (neg.f64 (cos.f64 (.f64 -1/2 (PI.f64)))))
	54.5b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (cos.f64 (-.f64 (.f64 (PI.f64) (*.f64 1/90 angle)) (/.f64 (PI.f64) 2)))) 2) (pow.f64 b 2))
	57.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2)))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (*.f64 (PI.f64) 4)) (PI.f64)))) 2))))
	50.7b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (.f64 (PI.f64) 4)) (PI.f64)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)) (/.f64 (PI.f64) -2))))))
	37.4b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 1/90 angle)))
	34.6b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	56.1b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) -1/2)))
	42.9b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	42.9b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	42.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	62.8b	(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.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)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (*.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	52.5b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/45)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (pow.f64 b 2))
	54.1b	(.f64 (.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (/.f64 (PI.f64) 2)))) 2) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	59.5b	(.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (cos.f64 (-.f64 (.f64 (/.f64 angle 180) (+.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) 2))))
	39.5b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (.f64 2 (.f64 (PI.f64) (/.f64 angle 180)))))
	52.8b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (pow.f64 b 2)))) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	58.9b	(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
	45.1b	(.f64 (.f64 (.f64 2 (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	57.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	51.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 2)))))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
✓	51.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	52.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 1)
	51.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	51.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	51.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	53.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 1) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	35.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 1 1) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))
✓	34.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	35.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2) (/.f64 1 1)))
	35.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 1) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	54.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
	54.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	58.5b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	51.8b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	42.9b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 (PI.f64) (/.f64 angle 180)) 2))) 2) (/.f64 1 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))))
	42.7b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
	43.4b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	54.0b	(.f64 (.f64 (.f64 2 (neg.f64 (pow.f64 a 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	45.0b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	45.1b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	42.9b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2) (/.f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
	42.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
	43.5b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 -2 (pow.f64 a 2))) 1)
	62.6b	(.f64 (.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a a) 2) (/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/90))) 2))) (/.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	54.1b	(.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 -2 (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	44.6b	(.f64 (.f64 (PI.f64) -1/90) (*.f64 angle (pow.f64 a 2)))
	46.2b	(.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))
	53.7b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	46.2b	(.f64 (.f64 1/90 (*.f64 angle (PI.f64))) (pow.f64 b 2))
	51.8b	(.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
	52.5b	(.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 1/90 angle))))) (pow.f64 b 2))
	34.7b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	43.0b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (neg.f64 (pow.f64 a 2)))
✓	45.0b	(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
	58.5b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180))))) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 (/.f64 angle 180) 4)))) 2))))
	51.8b	(.f64 (neg.f64 (pow.f64 a 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 (/.f64 angle 180) 4)))) 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) (.f64 2 (/.f64 angle 180)))))))
✓	42.9b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 angle 180)))))
	53.8b	(.f64 (neg.f64 (pow.f64 a 2)) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (PI.f64) (*.f64 2 (/.f64 angle 180))))))
	51.7b	(.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	54.2b	(.f64 (cos.f64 (-.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/2 (PI.f64)))) (pow.f64 b 2))
	54.2b	(.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))) (pow.f64 b 2))
	44.9b	(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 2 (pow.f64 b 2))))
	44.6b	(.f64 (PI.f64) (.f64 (pow.f64 a 2) (*.f64 angle -1/90)))
	37.5b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	44.6b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
	46.2b	(.f64 angle (.f64 (PI.f64) (*.f64 1/90 (pow.f64 b 2))))
	54.3b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (-.f64 (.f64 1/180 (*.f64 angle (PI.f64))) (/.f64 (PI.f64) 2)))) 2))))
	45.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
✓	45.0b	(.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)))))))
	54.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/180 (*.f64 angle (PI.f64))))))))
	45.1b	(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	46.2b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
✓	44.6b	(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
✓	44.6b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	43.0b	(.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 2411 to 1988 computations (17.5% saved)

regimes624.0ms (3%)

Counts

137 → 1

Calls

Call 1

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

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

Calls

10 calls:

62.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
61.0ms	b
61.0ms	a
59.0ms	angle
58.0ms	(/.f64 angle 180)

Results

Error	Segments	Branch
34.6b	1	`a`
34.6b	1	`b`
34.6b	1	`angle`
34.6b	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))))`
34.6b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
34.6b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.6b	1	`(pow.f64 b 2)`
34.6b	1	`(pow.f64 a 2)`
34.6b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.6b	1	`(/.f64 angle 180)`

Compiler

Compiled 3821 to 2893 computations (24.3% saved)

regimes285.0ms (1.4%)

Counts

72 → 1

Calls

Call 1

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

Calls

9 calls:

34.0ms	(/.f64 angle 180)
34.0ms	a
32.0ms	b
32.0ms	angle
32.0ms	(*.f64 (PI.f64) (/.f64 angle 180))

Results

Error	Segments	Branch
34.6b	1	`a`
34.6b	1	`b`
34.6b	1	`angle`
34.6b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
34.6b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.6b	1	`(pow.f64 b 2)`
34.6b	1	`(pow.f64 a 2)`
34.6b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.6b	1	`(/.f64 angle 180)`

Compiler

Compiled 1102 to 790 computations (28.3% saved)

regimes276.0ms (1.3%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

9 calls:

33.0ms	(/.f64 angle 180)
32.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
31.0ms	a
31.0ms	angle
31.0ms	b

Results

Error	Segments	Branch
34.6b	1	`a`
34.6b	1	`b`
34.6b	1	`angle`
34.6b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
34.6b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
34.6b	1	`(pow.f64 b 2)`
34.6b	1	`(pow.f64 a 2)`
34.6b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.6b	1	`(/.f64 angle 180)`

Compiler

Compiled 1079 to 774 computations (28.3% saved)

regimes333.0ms (1.6%)

Counts

43 → 2

Calls

Call 1

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

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

Calls

8 calls:

55.0ms	(/.f64 angle 180)
54.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
53.0ms	angle
53.0ms	b
33.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
37.4b	1	`a`
35.8b	3	`b`
34.9b	3	`angle`
34.6b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
35.8b	2	`(pow.f64 b 2)`
36.2b	3	`(pow.f64 a 2)`
34.9b	3	`(*.f64 (PI.f64) (/.f64 angle 180))`
34.9b	3	`(/.f64 angle 180)`

Compiler

Compiled 515 to 365 computations (29.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4990533394488773e-278	2.322852598629813e-245

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes137.0ms (0.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	angle
31.0ms	a
29.0ms	b
19.0ms	(pow.f64 a 2)
13.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
39.1b	3	`a`
38.1b	3	`b`
41.3b	4	`angle`
38.4b	2	`(pow.f64 b 2)`
39.2b	2	`(pow.f64 a 2)`

Compiler

Compiled 231 to 159 computations (31.2% saved)

bsearch93.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.519756738664166e-27	2.5708141067066243e-26
49.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

28.0ms	135×	body	256	valid
24.0ms	38×	body	1024	valid
13.0ms	23×	body	512	valid
12.0ms	3×	body	4096	valid
12.0ms	9×	body	2048	valid

Compiler

Compiled 383 to 325 computations (15.1% saved)

regimes123.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

5 calls:

35.0ms	angle
26.0ms	b
26.0ms	a
17.0ms	(pow.f64 a 2)
12.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
39.1b	3	`a`
38.3b	3	`b`
41.3b	4	`angle`
38.5b	2	`(pow.f64 b 2)`
39.2b	2	`(pow.f64 a 2)`

Compiler

Compiled 201 to 138 computations (31.3% saved)

bsearch80.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.519756738664166e-27	2.5708141067066243e-26
44.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

31.0ms	144×	body	256	valid
21.0ms	34×	body	1024	valid
12.0ms	8×	body	2048	valid
9.0ms	21×	body	512	valid
4.0ms	1×	body	4096	valid

Compiler

Compiled 383 to 325 computations (15.1% saved)

regimes114.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	angle
31.0ms	b
23.0ms	a
12.0ms	(pow.f64 a 2)
10.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
39.9b	3	`a`
39.0b	3	`b`
41.9b	4	`angle`
39.3b	2	`(pow.f64 b 2)`
40.0b	2	`(pow.f64 a 2)`

Compiler

Compiled 181 to 125 computations (30.9% saved)

bsearch71.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.0792581277859802e-18	4.7663980120292734e-18
42.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

27.0ms	35×	body	1024	valid
24.0ms	113×	body	256	valid
9.0ms	22×	body	512	valid
7.0ms	6×	body	2048	valid

Compiler

Compiled 318 to 268 computations (15.7% saved)

regimes189.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

5 calls:

123.0ms	b
25.0ms	angle
19.0ms	a
9.0ms	(pow.f64 b 2)
9.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
39.9b	3	`a`
39.0b	3	`b`
41.9b	4	`angle`
39.3b	2	`(pow.f64 b 2)`
40.0b	2	`(pow.f64 a 2)`

Compiler

Compiled 135 to 93 computations (31.1% saved)

bsearch77.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	3.0792581277859802e-18	4.7663980120292734e-18
45.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

27.0ms	31×	body	1024	valid
24.0ms	111×	body	256	valid
11.0ms	25×	body	512	valid
9.0ms	8×	body	2048	valid
4.0ms	1×	body	4096	valid

Compiler

Compiled 318 to 268 computations (15.7% saved)

regimes77.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	angle
21.0ms	b
16.0ms	a
9.0ms	(pow.f64 a 2)
7.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
39.9b	3	`a`
39.0b	3	`b`
41.9b	4	`angle`
39.3b	2	`(pow.f64 b 2)`
40.0b	2	`(pow.f64 a 2)`

Compiler

Compiled 108 to 76 computations (29.6% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.0792581277859802e-18	4.7663980120292734e-18
50.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

28.0ms	44×	body	1024	valid
26.0ms	110×	body	256	valid
8.0ms	17×	body	512	valid
4.0ms	4×	body	2048	valid
4.0ms	1×	body	4096	valid

Compiler

Compiled 318 to 268 computations (15.7% saved)

regimes71.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	angle
19.0ms	b
14.0ms	a
8.0ms	(pow.f64 a 2)
7.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
39.9b	3	`a`
39.0b	3	`b`
41.9b	4	`angle`
39.3b	2	`(pow.f64 b 2)`
40.0b	2	`(pow.f64 a 2)`

Compiler

Compiled 99 to 70 computations (29.3% saved)

bsearch98.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	3.0792581277859802e-18	4.7663980120292734e-18
43.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

55.0ms	111×	body	256	valid
24.0ms	37×	body	1024	valid
10.0ms	24×	body	512	valid
6.0ms	4×	body	2048	valid

Compiler

Compiled 318 to 268 computations (15.7% saved)

regimes161.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

5 calls:

125.0ms	a
13.0ms	angle
12.0ms	b
5.0ms	(pow.f64 a 2)
5.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
39.9b	3	`a`
39.0b	3	`b`
41.9b	4	`angle`
39.3b	2	`(pow.f64 b 2)`
40.0b	2	`(pow.f64 a 2)`

Compiler

Compiled 54 to 41 computations (24.1% saved)

bsearch70.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.0792581277859802e-18	4.7663980120292734e-18
49.0ms	-2.8880646027342896e-32	-2.3536011693839653e-34

Results

25.0ms	38×	body	1024	valid
25.0ms	116×	body	256	valid
7.0ms	17×	body	512	valid
5.0ms	4×	body	2048	valid
4.0ms	1×	body	4096	valid

Compiler

Compiled 318 to 268 computations (15.7% saved)

regimes84.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	(pow.f64 a 2)
3.0ms	b
3.0ms	angle
3.0ms	a

Results

Error	Segments	Branch
44.6b	1	`a`
44.6b	1	`b`
44.6b	1	`angle`
44.6b	1	`(pow.f64 a 2)`

Compiler

Compiled 39 to 30 computations (23.1% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1018

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 angle (.f64 (PI.f64) 1/180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 6386688990511103/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784) (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)))
(if (<=.f64 b -3507603929594167/5846006549323611672814739330865132078623730171904) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (if (<=.f64 b 348449143727041/21778071482940061661655974875633165533184) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(if (<=.f64 b -319703483166135/11417981541647679048466287755595961091061972992) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (if (<=.f64 b 4529838868451533/696898287454081973172991196020261297061888) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(if (<=.f64 b -1461501637330903/730750818665451459101842416358141509827966271488) (.f64 (.f64 angle (.f64 1/90 (PI.f64))) (pow.f64 b 2)) (if (<=.f64 b 5062489437071457/1298074214633706907132624082305024) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))))
(if (<=.f64 b -6211381958656337/365375409332725729550921208179070754913983135744) (.f64 (.f64 angle (.f64 1/90 (PI.f64))) (pow.f64 b 2)) (if (<=.f64 b 2466341007804043/649037107316853453566312041152512) (.f64 (.f64 (PI.f64) -1/90) (.f64 angle (pow.f64 a 2))) (.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))))
(if (<=.f64 b -3390683798607695/5846006549323611672814739330865132078623730171904) (.f64 (.f64 angle (.f64 1/90 (PI.f64))) (pow.f64 b 2)) (if (<=.f64 b 2466341007804043/649037107316853453566312041152512) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))))
(if (<=.f64 b -7599808514120695/5846006549323611672814739330865132078623730171904) (.f64 angle (.f64 1/90 (.f64 (PI.f64) (pow.f64 b 2)))) (if (<=.f64 b 8048060130728983/2596148429267413814265248164610048) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(if (<=.f64 b -3507603929594167/11692013098647223345629478661730264157247460343808) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 8437482395119095/2596148429267413814265248164610048) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (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 angle (.f64 (PI.f64) 1/180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(if (<=.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 6386688990511103/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784) (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)))
(if (<=.f64 b -3507603929594167/5846006549323611672814739330865132078623730171904) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (pow.f64 b 2)) (if (<=.f64 b 348449143727041/21778071482940061661655974875633165533184) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))))
(if (<=.f64 b -319703483166135/11417981541647679048466287755595961091061972992) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (if (<=.f64 b 4529838868451533/696898287454081973172991196020261297061888) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(if (<=.f64 b -1461501637330903/730750818665451459101842416358141509827966271488) (.f64 (.f64 angle (.f64 1/90 (PI.f64))) (pow.f64 b 2)) (if (<=.f64 b 5062489437071457/1298074214633706907132624082305024) (.f64 (pow.f64 a 2) (.f64 angle (.f64 (PI.f64) -1/90))) (.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))))
(if (<=.f64 b -6211381958656337/365375409332725729550921208179070754913983135744) (.f64 (.f64 angle (.f64 1/90 (PI.f64))) (pow.f64 b 2)) (if (<=.f64 b 2466341007804043/649037107316853453566312041152512) (.f64 (.f64 (PI.f64) -1/90) (.f64 angle (pow.f64 a 2))) (.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))))
(if (<=.f64 b -3390683798607695/5846006549323611672814739330865132078623730171904) (.f64 (.f64 angle (.f64 1/90 (PI.f64))) (pow.f64 b 2)) (if (<=.f64 b 2466341007804043/649037107316853453566312041152512) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 (.f64 angle (*.f64 1/90 (PI.f64))) (pow.f64 b 2))))
(if (<=.f64 b -7599808514120695/5846006549323611672814739330865132078623730171904) (.f64 angle (.f64 1/90 (.f64 (PI.f64) (pow.f64 b 2)))) (if (<=.f64 b 8048060130728983/2596148429267413814265248164610048) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(if (<=.f64 b -3507603929594167/11692013098647223345629478661730264157247460343808) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 8437482395119095/2596148429267413814265248164610048) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (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 385 to 292 computations (24.2% saved)

soundness1.2s (6%)

Algorithm

4×	egg-herbie

Rules

1402×	`rational_best-simplify-2`
1402×	`rational_best-simplify-2`
1160×	`rational_best-simplify-1`
1160×	`rational_best-simplify-1`
1150×	`rational_best-simplify-47`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	27	73
2	38	73
3	62	73
4	99	73
5	124	73
6	164	73
7	238	73
8	399	73
9	880	65
10	1749	49
11	3720	49
12	7613	49
0	145	3989
1	281	3551
2	601	3419
3	1398	3371
4	4355	3371
0	20	73
1	27	73
2	38	73
3	62	73
4	99	73
5	124	73
6	164	73
7	238	73
8	399	73
9	880	65
10	1749	49
11	3720	49
12	7613	49
0	145	3989
1	281	3551
2	601	3419
3	1398	3371
4	4355	3371

Stop Event

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

Compiler

Compiled 377 to 284 computations (24.7% saved)

end352.0ms (1.7%)

Compiler: Compiled 352 to 244 computations (30.7% saved)