Details

analyze2.5s (3.7%)

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
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	8
35.7%	31.2%	56.2%	0.1%	12.5%	0%	0%	9
35.7%	31.2%	56.2%	0.1%	12.5%	0%	0%	10
44.6%	39%	48.4%	0.1%	12.5%	0%	0%	11
51.3%	44.9%	42.5%	0.1%	12.5%	0%	0%	12

Compiler

Compiled 25 to 20 computations (20% saved)

sample17.3s (25.6%)

Results

4.8s	1687×	body	1024	valid
4.0s	1368×	body	1024	infinite
4.0s	5578×	body	256	valid
1.4s	784×	body	512	valid
1.4s	691×	body	512	infinite
893.0ms	205×	body	2048	valid
772.0ms	984×	body	256	infinite
30.0ms	2×	body	4096	valid

Bogosity

preprocess287.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1872×	`rational_best-simplify-62`
816×	`rational_best-simplify-108`
754×	`rational_best-simplify-65`
692×	`rational_best-simplify-1`
678×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	268
1	93	268
2	143	268
3	208	268
4	303	268
5	544	268
6	1120	268
7	2426	268
8	6969	268
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 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2))

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify474.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`rational_best-simplify-50`
940×	`rational_best-simplify-65`
798×	`rational_best-simplify-108`
786×	`rational_best-simplify-49`
682×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	38	67
2	58	67
3	87	67
4	128	67
5	226	67
6	449	67
7	1103	67
8	2945	67
9	7727	67

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

18.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize132.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	24.8b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 86 to 58 computations (32.6% saved)

series24.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
2.0ms	angle	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
1.0ms	angle	@	inf	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
1.0ms	angle	@	inf	(*.f64 (PI.f64) (/.f64 angle 180))
1.0ms	b	@	-inf	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)

rewrite301.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational_best-simplify-63`
944×	`rational_best-4`
944×	`rational_best-2`
944×	`rational_best-3`
944×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	106	84
2	238	84
3	656	84
4	2363	84

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (neg.f64 (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))) (neg.f64 (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (neg.f64 (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2) (+.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))) (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))) (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (/.f64 (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))) (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))) (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))) (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))) (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 0))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))))) 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simplify527.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational_best-simplify-51`
1164×	`rational_best-simplify-1`
1072×	`rational_best-simplify-3`
1014×	`rational_best-simplify-63`
940×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	9637
1	1331	9041
2	3890	8495

Stop Event

1×	node limit

Counts

273 → 337

Calls

Call 1

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

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

eval970.0ms (1.4%)

Compiler: Compiled 13787 to 10278 computations (25.5% saved)

prune356.0ms (0.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	382	23	405
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	23	406

Error

18.0b

Counts

406 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	20.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2)) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2)) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2))
▶	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))))) 2)) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))) 2))
▶	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2))
	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/360))))))) 2))
▶	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
▶	32.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400)))
	27.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 1558 to 1230 computations (21.1% saved)

localize144.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 1/180 angle))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	24.7b	(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))

Compiler

Compiled 95 to 64 computations (32.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite210.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`rational_best-simplify-63`
634×	`rational_best-4`
634×	`rational_best-2`
634×	`rational_best-3`
634×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	70	34
2	158	34
3	423	34
4	1513	34

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (neg.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) 0) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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egg-rr> (2) ((x /.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) 2) (-.f64 1 (*.f64 angle 1/90)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (PI.f64) 4)) (*.f64 1/90 (*.f64 angle 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle 4)) (*.f64 (PI.f64) 1/90)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/90 (*.f64 angle 4)) (*.f64 2 (*.f64 (PI.f64) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (PI.f64) 1/90)) (*.f64 angle 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1/90 (*.f64 angle 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle 1/90) (*.f64 2 (*.f64 (PI.f64) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/90) (*.f64 2 (*.f64 angle 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))))))))

simplify411.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational_best-simplify-51`
1058×	`rational_best-simplify-50`
1044×	`rational_best-simplify-47`
928×	`rational_best-simplify-57`
702×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	8396
1	985	7750
2	2631	6610

Stop Event

1×	node limit

Counts

200 → 287

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.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 1/180 angle))) 0)
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (neg.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))))
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))) 2))
(+.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(+.f64 (.f64 (sin.f64 0) 0) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 1/2)))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 3) 2) 2))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 3) 4))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) 0))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (+.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (*.f64 angle 1/45) (/.f64 (PI.f64) 8)))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (*.f64 angle 1/45) (/.f64 (PI.f64) 8)))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 0)
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (*.f64 (sin.f64 0) 0))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (sin.f64 0) 0)))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 (sin.f64 0) 0)))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (*.f64 (sin.f64 0) 0) 0))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 (sin.f64 0) 0) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 (sin.f64 0) 0) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (+.f64 (.f64 (sin.f64 0) 0) (.f64 (sin.f64 0) 0)))
(-.f64 0 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2) (+.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (+.f64 (.f64 (sin.f64 0) 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) -2))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) -2) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(-.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(-.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (+.f64 (.f64 (sin.f64 0) 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(-.f64 (.f64 (sin.f64 0) 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(-.f64 (.f64 (sin.f64 0) 0) (+.f64 (.f64 (sin.f64 0) 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) -2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) -2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4)))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (-.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (*.f64 angle 1/45) (/.f64 (PI.f64) 8))))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)))) (-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (*.f64 angle 1/45) (/.f64 (PI.f64) 8))))))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2)) (-.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4)))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2)) (-.f64 0 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 4)))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2)) (-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4)))
(-.f64 (-.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(-.f64 (-.f64 (.f64 (sin.f64 0) 0) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(-.f64 (-.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(-.f64 (-.f64 (.f64 (sin.f64 0) 0) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
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(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (cos.f64 0))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
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(.f64 2 (.f64 (cos.f64 0) (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (*.f64 angle 1/45) (/.f64 (PI.f64) 8))))))
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(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2))
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(.f64 (/.f64 (cos.f64 0) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4))
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(.f64 (.f64 (cos.f64 0) 2) (.f64 1 (.f64 (cos.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (sin.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))))))
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(/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 2)) 2)
(/.f64 (+.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 2)) 2)
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(/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (.f64 -2 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))) 2)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4) (cos.f64 0)) 4)
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1)
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 1/180 angle)))
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(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (*.f64 angle 1/90) 1)) (neg.f64 (neg.f64 (/.f64 (PI.f64) -2))))
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(+.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
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(+.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) (/.f64 (PI.f64) 4))
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(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))) 2)) (neg.f64 (/.f64 (.f64 (PI.f64) (*.f64 1/180 angle)) -2)))
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(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(-.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 0)
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (/.f64 (PI.f64) -2))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (PI.f64) -4)))
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(-.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 angle 1/45) 1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
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(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 1/180 angle))) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 angle 1/90) 1)) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
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(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))) 2) (/.f64 (PI.f64) 4)))
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(/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 1)
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))) -1)
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(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)
(/.f64 (.f64 (PI.f64) (.f64 1/90 (*.f64 angle 4))) 8)
(/.f64 (.f64 1/45 (.f64 (*.f64 angle 4) (PI.f64))) 16)
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 (.f64 angle 4))) (.f64 (PI.f64) (.f64 1/90 (.f64 angle 4)))) 16)
(/.f64 (+.f64 (.f64 1/45 (.f64 (.f64 angle 4) (PI.f64))) (.f64 1/45 (.f64 (.f64 angle 4) (PI.f64)))) 32)
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 2)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) 2) (-.f64 1 (.f64 angle 1/90)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 1/90 (*.f64 angle 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (PI.f64) 1/90)) 16)
(/.f64 (.f64 (.f64 1/90 (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 1/90)) (.f64 angle 4)) 16)
(/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1/90 (.f64 angle 4))) 16)
(/.f64 (.f64 (.f64 angle 1/90) (.f64 2 (.f64 (PI.f64) 4))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 2 (.f64 angle 4))) 16)
(pow.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 angle (.f64 1/180 (PI.f64))))
(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/180 (.f64 angle (PI.f64))))
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(+.f64 (-.f64 -1 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 1 (/.f64 (PI.f64) -4)))
(+.f64 (-.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (-.f64 (/.f64 (PI.f64) 4) -1)) (-.f64 1 (/.f64 (PI.f64) -4)))
(+.f64 (-.f64 (.f64 angle (.f64 1/180 (PI.f64))) (+.f64 (/.f64 (PI.f64) 4) 1)) (-.f64 1 (/.f64 (PI.f64) -4)))
(+.f64 (+.f64 -1 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (/.f64 (PI.f64) -4))) (-.f64 1 (/.f64 (PI.f64) -4)))
(-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))
(-.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 0)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/180 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/180 angle) 1/2)))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/180 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/180 angle) 1/2)))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (*.f64 (PI.f64) 1/2)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (PI.f64) -4)))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/180 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/180 angle) 1/2)))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (PI.f64) 4)))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/180 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/180 angle) 1/2)))
(-.f64 (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8)) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2))
(+.f64 (.f64 (PI.f64) (/.f64 (.f64 angle 1/45) 8)) (neg.f64 (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2)))
(+.f64 (.f64 angle (.f64 1/45 (/.f64 (PI.f64) 8))) (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/360)) (.f64 (.f64 1/180 (*.f64 angle (PI.f64))) 1/2))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 angle 1/45) 1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (.f64 (/.f64 (PI.f64) 4) (+.f64 (*.f64 angle 1/45) -1))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (+.f64 (.f64 angle 1/45) -1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) (+.f64 -1/4 (/.f64 (.f64 angle 1/45) 4))) (+.f64 0 (/.f64 (PI.f64) -4)))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2) (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/180 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/180 angle) 1/2)))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 1/180 angle))) (*.f64 (PI.f64) 1/2)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 angle 1/90) 1)) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/90)))))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 1/2 (+.f64 1 (.f64 angle 1/90))))))
(-.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 1 (.f64 angle 1/90)))) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 16) (.f64 (.f64 angle 1/45) (/.f64 (PI.f64) 8))) (-.f64 0 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 16)))
(+.f64 (.f64 (PI.f64) (/.f64 (.f64 angle 1/45) 8)) (neg.f64 (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2)))
(+.f64 (.f64 angle (.f64 1/45 (/.f64 (PI.f64) 8))) (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/360)) (.f64 (.f64 1/180 (*.f64 angle (PI.f64))) 1/2))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (-.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) (/.f64 (PI.f64) 4)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) (/.f64 (PI.f64) -4))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/180 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/180 angle) 1/2)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 2) 2) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 4) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -4))
(/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/30)) (.f64 (.f64 angle (PI.f64)) -1/90)) 8)
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 4) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 4))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 4) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -4))
(/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/30)) (.f64 (.f64 angle (PI.f64)) -1/90)) 8)
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2) (/.f64 (PI.f64) 4)))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2))))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2) (/.f64 (PI.f64) 4))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 1/2) (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)) -2) (/.f64 (PI.f64) 4))))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (PI.f64) 4)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))) 2) (/.f64 (PI.f64) 4)))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))) 2) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) -2))))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) -2) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))) 2))))
(+.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1/2) (/.f64 (-.f64 (PI.f64) (-.f64 (.f64 (-.f64 1 (*.f64 1/180 angle)) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) 4))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (PI.f64) -2))) (-.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (PI.f64) 4)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 1)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))) -1)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 1/90 (*.f64 angle 4))) 8)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 1/45 (.f64 (*.f64 angle 4) (PI.f64))) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 1/90 (.f64 angle 4))) (.f64 (PI.f64) (.f64 1/90 (.f64 angle 4)))) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (+.f64 (.f64 1/45 (.f64 (.f64 angle 4) (PI.f64))) (.f64 1/45 (.f64 (.f64 angle 4) (PI.f64)))) 32)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 2)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) 2) (-.f64 1 (.f64 angle 1/90)))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (-.f64 1 (.f64 angle 1/90)) (.f64 (PI.f64) 2))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 2 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))))) 4)
(/.f64 (.f64 (PI.f64) (-.f64 2 (.f64 2 (-.f64 1 (*.f64 angle 1/90))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 1/90 (*.f64 angle 4))) 64)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (PI.f64) 1/90)) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 1/90 (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 1/90)) (.f64 angle 4)) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1/90 (.f64 angle 4))) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 angle 1/90) (.f64 2 (.f64 (PI.f64) 4))) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 2 (.f64 angle 4))) 16)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 1/180 angle)) 1)
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))

localize85.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	24.8b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite164.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`rational_best-simplify-55`
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	12	25
1	86	25
2	201	25
3	560	25
4	2038	25

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)) 2) (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)) 2) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)) (/.f64 (neg.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)) 2) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2))) (-.f64 0 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 b b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (*.f64 b 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 b (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (*.f64 2 (*.f64 b 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 b 4)) (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b b) (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (*.f64 2 (*.f64 b 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))))

simplify535.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best-simplify-1`
1008×	`rational_best-simplify-85`
652×	`rational_best-simplify-3`
620×	`rational_best-simplify-108`
604×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1237
1	207	1237
2	489	1201
3	1174	1201
4	4190	1201
5	7667	1201

Stop Event

1×	node limit

Counts

41 → 35

Calls

Call 1

Inputs
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(+.f64 0 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2))))
(-.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) (/.f64 (neg.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2))) (-.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2)))
(/.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 b b)) 2)
(/.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 4)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (*.f64 b 4))) 8)
(/.f64 (.f64 4 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (*.f64 b 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 64)
(/.f64 (.f64 (+.f64 b b) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (.f64 2 (.f64 b 4))) 16)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)

Outputs
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(.f64 (.f64 b (PI.f64)) (*.f64 1/180 angle))
(.f64 b (.f64 1/180 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) (.f64 (pow.f64 angle 3) (.f64 (.f64 b (pow.f64 (PI.f64) 3)) -1/34992000)))
(+.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -1/34992000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(+.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 (.f64 b (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 angle 5) 1/22674816000000))))
(+.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) (+.f64 (.f64 (pow.f64 angle 3) (.f64 (.f64 b (pow.f64 (PI.f64) 3)) -1/34992000)) (.f64 (.f64 b (pow.f64 (PI.f64) 5)) (*.f64 1/22674816000000 (pow.f64 angle 5)))))
(+.f64 (+.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -1/34992000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 3)))) (.f64 1/22674816000000 (.f64 b (pow.f64 (*.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) (+.f64 (.f64 -1/34992000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 3))) (.f64 (pow.f64 (.f64 angle (PI.f64)) 5) (*.f64 b 1/22674816000000))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(+.f64 (+.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (.f64 b (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 angle 5) 1/22674816000000)) (.f64 -1/30855889612800000000 (.f64 (pow.f64 (PI.f64) 7) (.f64 b (pow.f64 angle 7))))))
(+.f64 (+.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) (.f64 (pow.f64 angle 3) (.f64 (.f64 b (pow.f64 (PI.f64) 3)) -1/34992000))) (+.f64 (.f64 (.f64 b (pow.f64 (PI.f64) 5)) (.f64 1/22674816000000 (pow.f64 angle 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 (PI.f64) 7) (.f64 b (pow.f64 angle 7))))))
(+.f64 (+.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 -1/34992000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 3)))) (+.f64 (.f64 1/22674816000000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 -1/30855889612800000000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 -1/34992000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (.f64 -1/30855889612800000000 (.f64 b (pow.f64 (.f64 angle (PI.f64)) 7))) (+.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 (.f64 angle (PI.f64)) 5) (.f64 b 1/22674816000000)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 0 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 0)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) (/.f64 (neg.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2))) (-.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b 1/2)) 2)))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 b b)) 2)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 4)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (*.f64 b 4))) 8)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 4 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (*.f64 b 4))) 64)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 64)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (+.f64 b b) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (.f64 2 (.f64 b 4))) 16)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

localize136.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	0.4b	(*.f64 (pow.f64 angle 2) 1/32400)
✓	19.4b	(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 91 to 59 computations (35.2% saved)

series9.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
2.0ms	angle	@	0	(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
1.0ms	b	@	inf	(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
1.0ms	angle	@	inf	(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
1.0ms	angle	@	inf	(*.f64 (pow.f64 angle 2) 1/32400)

rewrite304.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2034×	`rational_best-2`
2034×	`rational_best-3`
2034×	`rational_best-1`
924×	`rational_best-simplify-63`
732×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	88	40
2	174	40
3	451	40
4	1601	40
5	5991	40

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
(*.f64 (pow.f64 angle 2) 1/32400)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 2) (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 4) (+.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 4) (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 4) (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/10800) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 4) (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/10800) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 2) (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 4) (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 2)) (-.f64 0 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/10800) 2) 2) (/.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/10800) 4) (/.f64 (neg.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 4) (*.f64 (pow.f64 angle 2) 1/8100)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100)) (*.f64 2 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 4) (*.f64 (pow.f64 angle 2) 1/8100)) (*.f64 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 4) (*.f64 (pow.f64 angle 2) 1/8100))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 angle 2) 1/8100)) (*.f64 2 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 4)) (*.f64 2 (*.f64 (pow.f64 angle 2) 1/8100))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 4)) (*.f64 (pow.f64 angle 2) 1/16200)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 angle 2) 1/8100)) (*.f64 2 (pow.f64 (*.f64 b (PI.f64)) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 b 2))) (*.f64 (*.f64 (pow.f64 angle 2) 1/16200) (*.f64 2 (pow.f64 (PI.f64) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 b 2) (*.f64 (pow.f64 angle 2) 1/8100))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 (pow.f64 angle 2) 1/8100)) (*.f64 2 (*.f64 2 (pow.f64 (PI.f64) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 angle 2) 4) (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 1/32400)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 angle 2) 1/16200) (*.f64 2 (pow.f64 (PI.f64) 2))) (*.f64 2 (*.f64 2 (pow.f64 b 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 (PI.f64) 2))) (*.f64 1/32400 (pow.f64 (*.f64 b angle) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 angle 2) 1/32400) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 angle 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2) (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4) (+.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/10800) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (*.f64 (pow.f64 angle 2) 1/10800) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 angle 2) 1/32400) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2) (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2)) (-.f64 0 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/10800) 2) 2) (/.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 angle 2) 1/10800) 4) (/.f64 (neg.f64 (*.f64 (pow.f64 angle 2) 1/32400)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 angle 2) 1/32400) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 angle 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 angle 2) 1/8100) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 angle 2) 1/8100)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 angle 2) 1/8100)) (*.f64 2 (*.f64 (pow.f64 angle 2) 1/8100))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 angle 2) 1/32400) 1)))))

simplify452.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational_best-simplify-1`
1050×	`rational_best-simplify-3`
992×	`rational_best-simplify-55`
926×	`rational_best-simplify-56`
840×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	2126
1	346	1808
2	984	1808
3	4189	1808
4	7252	1808

Stop Event

1×	node limit

Counts

82 → 50

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 0)
(+.f64 0 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 2)))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 2) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4))
(-.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 0)
(-.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) -2))
(-.f64 (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2)) (-.f64 0 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 2) 2) (/.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4) (/.f64 (neg.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2))) 4))
(/.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 1)
(/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100)) 8)
(/.f64 (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4) (.f64 (pow.f64 angle 2) 1/8100)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100)) (.f64 2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100))) 16)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4) (.f64 (pow.f64 angle 2) 1/8100)) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4) (.f64 (pow.f64 angle 2) 1/8100))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4)) (.f64 2 (.f64 (pow.f64 angle 2) 1/8100))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4)) (*.f64 (pow.f64 angle 2) 1/16200)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (pow.f64 (*.f64 b (PI.f64)) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 (.f64 (pow.f64 angle 2) 1/16200) (.f64 2 (pow.f64 (PI.f64) 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 b 2) (*.f64 (pow.f64 angle 2) 1/8100))) 16)
(/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (*.f64 2 (pow.f64 (PI.f64) 2)))) 16)
(/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4)
(/.f64 (.f64 (.f64 (.f64 (pow.f64 angle 2) 1/16200) (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 1/32400 (pow.f64 (*.f64 b angle) 2))) 4)
(pow.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 1)
(+.f64 (*.f64 (pow.f64 angle 2) 1/32400) 0)
(+.f64 0 (*.f64 (pow.f64 angle 2) 1/32400))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2) (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 2) 2))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 4))
(-.f64 (*.f64 (pow.f64 angle 2) 1/32400) 0)
(-.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2) (/.f64 (.f64 (pow.f64 angle 2) 1/32400) -2))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2)) (-.f64 0 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 2) 2) (/.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 4) (/.f64 (neg.f64 (.f64 (pow.f64 angle 2) 1/32400)) 4))
(/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 1)
(/.f64 (*.f64 (pow.f64 angle 2) 1/16200) 2)
(/.f64 (*.f64 (pow.f64 angle 2) 1/8100) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (.f64 (pow.f64 angle 2) 1/8100))) 16)
(pow.f64 (*.f64 (pow.f64 angle 2) 1/32400) 1)

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 0)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(+.f64 0 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 2)))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 2) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(-.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 0)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(-.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) -2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(-.f64 (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 2)) (-.f64 0 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 4)))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 2) 2) (/.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) -2) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4) (/.f64 (neg.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2))) 4))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 1)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100)) 8)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4) (.f64 (pow.f64 angle 2) 1/8100)) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100)) (.f64 2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4) (.f64 (pow.f64 angle 2) 1/8100)) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4) (.f64 (pow.f64 angle 2) 1/8100))) 32)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4))) 64)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4)) (.f64 2 (.f64 (pow.f64 angle 2) 1/8100))) 64)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 4)) (*.f64 (pow.f64 angle 2) 1/16200)) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (pow.f64 (*.f64 b (PI.f64)) 2))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 (.f64 (pow.f64 angle 2) 1/16200) (.f64 2 (pow.f64 (PI.f64) 2)))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 b 2) (*.f64 (pow.f64 angle 2) 1/8100))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (*.f64 2 (pow.f64 (PI.f64) 2)))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 angle 2) 1/16200) (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 1/32400 (pow.f64 (*.f64 b angle) 2))) 4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(pow.f64 (.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 1)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(+.f64 (*.f64 (pow.f64 angle 2) 1/32400) 0)
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 0 (*.f64 (pow.f64 angle 2) 1/32400))
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2) (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2))
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 2)))
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 2) 2))
(*.f64 1/32400 (pow.f64 angle 2))
(+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 4))
(*.f64 1/32400 (pow.f64 angle 2))
(-.f64 (*.f64 (pow.f64 angle 2) 1/32400) 0)
(*.f64 1/32400 (pow.f64 angle 2))
(-.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2) (/.f64 (.f64 (pow.f64 angle 2) 1/32400) -2))
(*.f64 1/32400 (pow.f64 angle 2))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 4) (/.f64 (.f64 (pow.f64 angle 2) 1/32400) 2)) (-.f64 0 (/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 4)))
(*.f64 1/32400 (pow.f64 angle 2))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 2) 2) (/.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/32400) -2) 2))
(*.f64 1/32400 (pow.f64 angle 2))
(-.f64 (/.f64 (.f64 (pow.f64 angle 2) 1/10800) 4) (/.f64 (neg.f64 (.f64 (pow.f64 angle 2) 1/32400)) 4))
(*.f64 1/32400 (pow.f64 angle 2))
(/.f64 (*.f64 (pow.f64 angle 2) 1/32400) 1)
(*.f64 1/32400 (pow.f64 angle 2))
(/.f64 (*.f64 (pow.f64 angle 2) 1/16200) 2)
(*.f64 1/32400 (pow.f64 angle 2))
(/.f64 (*.f64 (pow.f64 angle 2) 1/8100) 4)
(*.f64 1/32400 (pow.f64 angle 2))
(/.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) 8)
(*.f64 1/32400 (pow.f64 angle 2))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 angle 2) 1/8100)) (.f64 2 (.f64 (pow.f64 angle 2) 1/8100))) 16)
(*.f64 1/32400 (pow.f64 angle 2))
(pow.f64 (*.f64 (pow.f64 angle 2) 1/32400) 1)
(*.f64 1/32400 (pow.f64 angle 2))

localize300.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	24.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))

Compiler

Compiled 184 to 125 computations (32.1% saved)

series4.0ms (0%)

Counts

3 → 16

Calls

9 calls:

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

rewrite231.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`rational_best-simplify-63`
840×	`rational_best-4`
840×	`rational_best-2`
840×	`rational_best-3`
840×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	101	65
2	205	65
3	577	53
4	2172	53

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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(2) ((x /.f64 (*.f64 (*.f64 angle 1/45) (*.f64 (PI.f64) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1)) (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/45) 2)) (*.f64 (PI.f64) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 angle 1/90) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/45) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/45) 2))) (*.f64 (PI.f64) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 1/180 angle) 1/2) 4) (*.f64 (PI.f64) 4)) (*.f64 2 (*.f64 (PI.f64) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) 4) (*.f64 2 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/45) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (PI.f64) 4)) (*.f64 (*.f64 (-.f64 (*.f64 1/180 angle) 1/2) 4) (*.f64 (PI.f64) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))))))))

simplify592.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

914×	`rational_best-simplify-50`
808×	`rational_best-simplify-81`
614×	`rational_best-simplify-47`
562×	`rational_best-simplify-1`
502×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	3492
1	682	3456
2	1667	3452
3	6424	3380

Stop Event

1×	node limit

Counts

148 → 154

Calls

Call 1

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

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

localize461.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.6b	(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))

Compiler

Compiled 229 to 153 computations (33.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

angle

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

0.0ms

angle

-inf

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

0.0ms

angle

inf

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

rewrite205.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`rational_best-4`
874×	`rational_best-2`
874×	`rational_best-3`
874×	`rational_best-1`
874×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	107	49
2	219	49
3	651	1
4	2833	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify282.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational_best-simplify-62`
978×	`rational_best-simplify-80`
788×	`rational_best-simplify-85`
672×	`rational_best-simplify-63`
632×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	795
1	116	749
2	201	735
3	327	725
4	646	691
5	1632	673
6	5539	673

Stop Event

1×	node limit

Counts

13 → 32

Calls

Call 1

Inputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3))) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))) (pow.f64 angle 3))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
0

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

eval4.4s (6.5%)

Compiler: Compiled 51482 to 38189 computations (25.8% saved)

prune2.1s (3.1%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	1345	33	1378
Fresh	11	7	18
Picked	1	0	1
Done	3	1	4
Total	1360	41	1401

Error

17.8b

Counts

1401 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	20.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2)) 2))
▶	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 2))
▶	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 2))
	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 4))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
▶	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
	32.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4))
	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4)))
	24.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2))))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
	27.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2)) 2))
▶	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
✓	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
	27.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
▶	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))

Compiler

Compiled 2563 to 2056 computations (19.8% saved)

localize363.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	24.7b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 164 to 106 computations (35.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite251.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`rational_best-simplify-63`
636×	`rational_best-4`
636×	`rational_best-2`
636×	`rational_best-3`
636×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	70	19
2	158	19
3	424	19
4	1517	19

Stop Event

1×	node limit

Counts

1 → 106

Calls

Call 1

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

Outputs

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simplify530.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational_best-simplify-1`
1058×	`rational_best-simplify-86`
712×	`rational_best-simplify-50`
664×	`rational_best-simplify-48`
658×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	6590
1	568	5586
2	1477	4916
3	6161	4880

Stop Event

1×	node limit

Counts

118 → 163

Calls

Call 1

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

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7))) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (+.f64 (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
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(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180)))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))) 2))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))) 2))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 1/2))
(+.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180)))
(+.f64 (.f64 (sin.f64 0) 0) (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(+.f64 (neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (*.f64 0 (sin.f64 0)))
(neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(neg.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) -1/180)))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3) 2) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) -1/2))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))))
(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
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(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))))
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(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) -1/2))
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(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) -1/2))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))
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(.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8))) (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/45) 1/8)))))
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(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 0) 2)
(/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)) 2)
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(/.f64 (+.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)) 2)
(/.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))) 2)
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 0) 2)
(/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2)
(/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))) 2)
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 -2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2)
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (cos.f64 0)) 4)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))
(cos.f64 (.f64 (PI.f64) (neg.f64 (-.f64 (.f64 1/180 angle) 1/2))))

localize67.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 angle (.f64 (PI.f64) b))
✓	0.2b	(*.f64 (PI.f64) b)
✓	0.3b	(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)
✓	0.3b	(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series8.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)
1.0ms	b	@	0	(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)
1.0ms	b	@	-inf	(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)
1.0ms	angle	@	inf	(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)
1.0ms	angle	@	-inf	(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)

rewrite425.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational_best-2`
1936×	`rational_best-3`
1936×	`rational_best-1`
1910×	`rational_best-4`
796×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	82	72
2	166	72
3	425	72
4	1426	72
5	5701	72

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2))
(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)
(*.f64 (PI.f64) b)
(.f64 angle (.f64 (PI.f64) b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2)) (-.f64 0 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 2) 2) (/.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 4) (/.f64 (neg.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100)) (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (.f64 1/32400 (pow.f64 angle 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 angle 2) (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 angle b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle (PI.f64)) 2) (pow.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2)) (/.f64 (pow.f64 angle 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2)) (.f64 1 (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 angle 2)) (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 angle 2)) (.f64 1 (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 b 2)) (.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 angle 2) 2) (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2) (.f64 2 (pow.f64 angle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 2) (/.f64 (pow.f64 b 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 2) (/.f64 (pow.f64 (.f64 angle b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 2) (.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 2 (pow.f64 angle 2))) (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 2 (pow.f64 angle 2))) (.f64 1/2 (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (/.f64 (pow.f64 angle 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (.f64 1/2 (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 angle (.f64 b 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4) (pow.f64 (.f64 angle 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 b 1/2) 2) (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 b 2) 4) (pow.f64 (.f64 angle (.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 angle (+.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle 1/2) 2) (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/2)) 2) (.f64 (pow.f64 b 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 angle angle) 2) (pow.f64 (.f64 (PI.f64) (.f64 b 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (.f64 b 1/2)) 2) (pow.f64 (+.f64 angle angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 4)) (.f64 (pow.f64 (.f64 b 1/2) 2) (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 angle angle) 2) (pow.f64 (+.f64 angle angle) 2)) (.f64 1/4 (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 b 2) 4)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4) (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4)) (.f64 1/4 (/.f64 (pow.f64 angle 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (.f64 (PI.f64) (/.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (.f64 (.f64 (PI.f64) b) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (.f64 angle (/.f64 (PI.f64) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (.f64 angle (/.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 b (.f64 (PI.f64) 4)) 2) (pow.f64 (/.f64 angle 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 b (.f64 (PI.f64) 4)) 2) (pow.f64 (.f64 angle 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle (+.f64 b b)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (.f64 b 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle (.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))) (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 b (.f64 angle (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (.f64 angle 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (.f64 (.f64 (PI.f64) b) (.f64 angle 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (.f64 (PI.f64) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))) (/.f64 (.f64 angle (.f64 (PI.f64) b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 b (.f64 angle (.f64 (PI.f64) 1/2)))) (-.f64 0 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (.f64 angle 3)) 2) 2) (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (.f64 angle 3)) 4) (/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) (+.f64 b b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 b (.f64 (PI.f64) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4))) (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4))) (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 b (.f64 (PI.f64) 4))) (.f64 2 (.f64 angle 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (.f64 b (.f64 (PI.f64) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 (+.f64 b b) (.f64 angle 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 (.f64 (PI.f64) (+.f64 angle angle)) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (PI.f64) (+.f64 angle angle)) 4) (.f64 2 (.f64 b 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 b b) (.f64 angle 4)) (.f64 2 (.f64 (PI.f64) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 1)))))

simplify627.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

938×	`rational_best-simplify-50`
806×	`rational_best-simplify-55`
634×	`rational_best-simplify-80`
630×	`rational_best-simplify-49`
592×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	4623
1	913	4465
2	2789	4459
3	7671	4459

Stop Event

1×	node limit

Counts

221 → 163

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(*.f64 b (PI.f64))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 0)
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(-.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 0)
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(/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 1)
(/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/8100) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100)) (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/8100))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (*.f64 1/32400 (pow.f64 angle 2))) 4)
(pow.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 1)
(+.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 0)
(+.f64 0 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2))
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(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2)))
(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 3) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 3) 4))
(-.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 0)
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(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) -2) 2))
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(.f64 2 (.f64 (pow.f64 (*.f64 (PI.f64) b) 2) (/.f64 (pow.f64 angle 2) 2)))
(.f64 2 (.f64 (pow.f64 angle 2) (/.f64 (pow.f64 (*.f64 (PI.f64) b) 2) 2)))
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1)
(.f64 1 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) b) 2))
(.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))
(.f64 (.f64 2 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 1/2)
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 angle b) 2))
(.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 2))
(.f64 (pow.f64 (.f64 angle (PI.f64)) 2) (pow.f64 b 2))
(.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(.f64 (.f64 2 (pow.f64 (*.f64 (PI.f64) b) 2)) (/.f64 (pow.f64 angle 2) 2))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2)) (.f64 1 (/.f64 (pow.f64 angle 2) 2)))
(.f64 (.f64 2 (pow.f64 angle 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) b) 2) 2))
(.f64 (.f64 2 (pow.f64 angle 2)) (.f64 1 (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2)))
(.f64 (.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2))
(.f64 (.f64 2 (pow.f64 b 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 angle 2) 2)))
(.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) 1/4)
(.f64 4 (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))) 2))
(.f64 1/4 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4))
(.f64 (/.f64 (pow.f64 angle 2) 2) (.f64 2 (pow.f64 (*.f64 (PI.f64) b) 2)))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 2) (*.f64 2 (pow.f64 angle 2)))
(.f64 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2) (/.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (/.f64 (pow.f64 (*.f64 angle b) 2) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))
(.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 4)) 1/8)
(.f64 (.f64 2 (.f64 2 (pow.f64 angle 2))) (/.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 angle 2))) (.f64 1/2 (/.f64 (pow.f64 (*.f64 (PI.f64) b) 2) 2)))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (/.f64 (pow.f64 angle 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (*.f64 1/2 (/.f64 (pow.f64 angle 2) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 angle (.f64 b 1/2)) 2))
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4) (pow.f64 (.f64 angle 1/2) 2))
(.f64 (pow.f64 (.f64 b 1/2) 2) (pow.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2))
(.f64 (.f64 (pow.f64 b 2) 4) (pow.f64 (.f64 angle (.f64 (PI.f64) 1/2)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 angle (+.f64 b b)) 2))
(.f64 (pow.f64 (.f64 angle 1/2) 2) (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4))
(.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/2)) 2) (.f64 (pow.f64 b 2) 4))
(.f64 (pow.f64 (+.f64 angle angle) 2) (pow.f64 (.f64 (PI.f64) (*.f64 b 1/2)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/2)) 2) (pow.f64 (+.f64 angle angle) 2))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 4)) (.f64 (pow.f64 (*.f64 b 1/2) 2) (/.f64 (pow.f64 angle 2) 2)))
(.f64 (+.f64 (pow.f64 (+.f64 angle angle) 2) (pow.f64 (+.f64 angle angle) 2)) (.f64 1/4 (/.f64 (pow.f64 (*.f64 (PI.f64) b) 2) 2)))
(.f64 (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 b 2) 4)) (.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (/.f64 (pow.f64 angle 2) 2)))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4) (.f64 (pow.f64 (.f64 (PI.f64) b) 2) 4)) (.f64 1/4 (/.f64 (pow.f64 angle 2) 2)))
(.f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (*.f64 (PI.f64) (/.f64 b 4)) 2))
(.f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (.f64 (.f64 (PI.f64) b) 1/4) 2))
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (*.f64 angle (/.f64 (PI.f64) 4)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 angle (/.f64 b 4)) 2))
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(.f64 (pow.f64 (.f64 angle (+.f64 b b)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (*.f64 b 1/2) 2))
(.f64 (pow.f64 (.f64 angle (.f64 b (.f64 (PI.f64) 4))) 2) 1/16)
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) 4)) 2) (pow.f64 (/.f64 b 4) 2))
(.f64 (pow.f64 (.f64 angle (*.f64 b 4)) 2) (pow.f64 (/.f64 (PI.f64) 4) 2))
(/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4)) (.f64 2 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2))) (.f64 2 (.f64 2 (pow.f64 angle 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 angle 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) b) 2)))) 16)
(+.f64 (*.f64 (PI.f64) b) 0)
(+.f64 0 (*.f64 (PI.f64) b))
(+.f64 (.f64 (PI.f64) (.f64 b 1/2)) (.f64 (PI.f64) (.f64 b 1/2)))
(+.f64 (.f64 (PI.f64) (/.f64 b 4)) (+.f64 (.f64 (PI.f64) (/.f64 b 4)) (.f64 (PI.f64) (.f64 b 1/2))))
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(-.f64 (*.f64 (PI.f64) b) 0)
(-.f64 (.f64 (PI.f64) (.f64 b 1/2)) (/.f64 (*.f64 (PI.f64) b) -2))
(-.f64 (+.f64 (.f64 (PI.f64) (/.f64 b 4)) (.f64 (PI.f64) (.f64 b 1/2))) (-.f64 0 (.f64 (PI.f64) (/.f64 b 4))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 b 3)) 2) 2) (/.f64 (/.f64 (*.f64 (PI.f64) b) -2) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 b 3)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) b)) 4))
(/.f64 (*.f64 (PI.f64) b) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 b b)) 2)
(/.f64 (.f64 b (.f64 (PI.f64) 4)) 4)
(/.f64 (.f64 2 (.f64 b (*.f64 (PI.f64) 4))) 8)
(/.f64 (.f64 (.f64 b 4) (*.f64 (PI.f64) 4)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 b (.f64 (PI.f64) 4))) (.f64 2 (.f64 b (.f64 (PI.f64) 4)))) 16)
(/.f64 (+.f64 (.f64 (.f64 b 4) (.f64 (PI.f64) 4)) (.f64 (.f64 b 4) (.f64 (PI.f64) 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 b 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(pow.f64 (*.f64 (PI.f64) b) 1)
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(+.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))) (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 b (.f64 angle (*.f64 (PI.f64) 1/2)))))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (*.f64 angle 3)) 2) 2))
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(/.f64 (.f64 angle (.f64 (PI.f64) (+.f64 b b))) 2)
(/.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 4))) 4)
(/.f64 (.f64 (+.f64 angle angle) (.f64 b (*.f64 (PI.f64) 4))) 8)
(/.f64 (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4))) 16)
(/.f64 (+.f64 (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4))) (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4)))) 16)
(/.f64 (+.f64 (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4))) (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4)))) 32)
(/.f64 (.f64 (.f64 2 (.f64 b (.f64 (PI.f64) 4))) (.f64 2 (.f64 angle 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (.f64 b (.f64 (PI.f64) 4)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 (+.f64 b b) (*.f64 angle 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 (PI.f64) (+.f64 angle angle)) 4) (.f64 2 (*.f64 b 4))) 64)
(/.f64 (.f64 (.f64 (+.f64 b b) (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 1)

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 b (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 b (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 b (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 1/32400 (pow.f64 (.f64 b (*.f64 angle (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
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(.f64 1/32400 (pow.f64 (.f64 b (*.f64 angle (PI.f64))) 2))
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(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
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(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
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(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
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(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (*.f64 angle 3)) 2) 2))
(/.f64 (+.f64 (.f64 angle (.f64 b (PI.f64))) (.f64 (.f64 b (PI.f64)) (*.f64 angle 3))) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(/.f64 (.f64 (.f64 b (*.f64 angle (PI.f64))) 4) 4)
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (.f64 (.f64 (PI.f64) b) (*.f64 angle 3)) 4))
(/.f64 (+.f64 (.f64 angle (.f64 b (PI.f64))) (.f64 (.f64 b (PI.f64)) (*.f64 angle 3))) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(/.f64 (.f64 (.f64 b (*.f64 angle (PI.f64))) 4) 4)
(-.f64 (.f64 angle (.f64 (PI.f64) b)) 0)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(-.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/2))) (/.f64 (.f64 angle (*.f64 (PI.f64) b)) -2))
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(-.f64 (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 b (.f64 angle (.f64 (PI.f64) 1/2)))) (-.f64 0 (/.f64 (.f64 angle (*.f64 (PI.f64) b)) 4)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (.f64 angle 3)) 2) 2) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) b)) -2) 2))
(/.f64 (+.f64 (.f64 angle (.f64 b (PI.f64))) (.f64 (.f64 b (PI.f64)) (*.f64 angle 3))) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(/.f64 (.f64 (.f64 b (*.f64 angle (PI.f64))) 4) 4)
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) b) (.f64 angle 3)) 4) (/.f64 (neg.f64 (.f64 angle (*.f64 (PI.f64) b))) 4))
(/.f64 (+.f64 (.f64 angle (.f64 b (PI.f64))) (.f64 (.f64 b (PI.f64)) (*.f64 angle 3))) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(/.f64 (.f64 (.f64 b (*.f64 angle (PI.f64))) 4) 4)
(/.f64 (.f64 angle (.f64 (PI.f64) b)) 1)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) (+.f64 b b))) 2)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 4))) 4)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (+.f64 angle angle) (.f64 b (*.f64 (PI.f64) 4))) 8)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4))) 16)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (+.f64 (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4))) (.f64 (+.f64 angle angle) (.f64 b (.f64 (PI.f64) 4)))) 16)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (+.f64 (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4))) (.f64 (.f64 angle 4) (.f64 b (.f64 (PI.f64) 4)))) 32)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 b (.f64 (PI.f64) 4))) (.f64 2 (.f64 angle 4))) 64)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (.f64 b (.f64 (PI.f64) 4)))) 64)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 (+.f64 b b) (*.f64 angle 4))) 64)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 4)) 64)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) (+.f64 angle angle)) 4) (.f64 2 (*.f64 b 4))) 64)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (+.f64 b b) (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))
(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 1)
(.f64 angle (.f64 b (PI.f64)))
(.f64 b (.f64 angle (PI.f64)))

localize147.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) angle)
✓	0.3b	(pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 100 to 57 computations (43% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite330.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`rational_best-2`
1808×	`rational_best-3`
1808×	`rational_best-1`
1782×	`rational_best-4`
1782×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	69	30
2	147	30
3	371	30
4	1261	30
5	5231	30

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)
(*.f64 (PI.f64) angle)

Outputs

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

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

simplify669.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best-simplify-1`
1062×	`rational_best-simplify-75`
1002×	`rational_best-simplify-76`
812×	`rational_best-simplify-63`
756×	`rational_best-simplify-66`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	252	2526
1	658	2498
2	1745	2498
3	4958	2498

Stop Event

1×	node limit

Counts

130 → 106

Calls

Call 1

Inputs
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(+.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 0)
(+.f64 0 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 2) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 4) (+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 4) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 2)))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 3) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 4) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 3) 4))
(-.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 2) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) -2))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 4) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 4))
(.f64 2 (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 2 (.f64 (pow.f64 b 2) (/.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 2)))
(.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1)
(.f64 1 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2))
(.f64 (pow.f64 b 2) (pow.f64 (.f64 (PI.f64) angle) 2))
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 b 2))
(.f64 (.f64 2 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 1/2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 b (PI.f64)) 2))
(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (pow.f64 angle 2))
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 b angle) 2))
(.f64 (pow.f64 (.f64 b angle) 2) (pow.f64 (PI.f64) 2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)))
(.f64 (.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 2))
(.f64 (.f64 2 (pow.f64 b 2)) (.f64 1 (/.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 2)))
(.f64 (.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)) (/.f64 (pow.f64 b 2) 2))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)) (.f64 1 (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 2 (pow.f64 angle 2)) (/.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 2))
(.f64 (.f64 2 (pow.f64 angle 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) (+.f64 angle angle))) 2) 1/4)
(.f64 4 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 angle 1/2))) 2))
(.f64 1/4 (pow.f64 (.f64 b (*.f64 (PI.f64) (+.f64 angle angle))) 2))
(.f64 (/.f64 (pow.f64 b 2) 2) (.f64 2 (pow.f64 (*.f64 (PI.f64) angle) 2)))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 2) (*.f64 2 (pow.f64 b 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (/.f64 (pow.f64 (*.f64 b angle) 2) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 angle 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 2) (/.f64 (pow.f64 angle 2) 2))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2))) (/.f64 (pow.f64 b 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (/.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/2 (/.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 2)))
(.f64 (.f64 2 (pow.f64 (.f64 b (.f64 (PI.f64) (+.f64 angle angle))) 2)) 1/8)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 b (.f64 angle 1/2)) 2))
(.f64 (pow.f64 (+.f64 angle angle) 2) (pow.f64 (.f64 (PI.f64) (*.f64 b 1/2)) 2))
(.f64 (.f64 (pow.f64 b 2) 4) (pow.f64 (.f64 (PI.f64) (.f64 angle 1/2)) 2))
(.f64 (pow.f64 (.f64 angle 1/2) 2) (pow.f64 (.f64 b (.f64 (PI.f64) 2)) 2))
(.f64 (pow.f64 (.f64 b 1/2) 2) (pow.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 b (+.f64 angle angle)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/2)) 2) (pow.f64 (+.f64 angle angle) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/2)) 2) (.f64 (pow.f64 b 2) 4))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (*.f64 b 1/2) 2))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 4)) (.f64 (pow.f64 (*.f64 angle 1/2) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (+.f64 (pow.f64 (+.f64 angle angle) 2) (pow.f64 (+.f64 angle angle) 2)) (.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2)) (.f64 1/4 (/.f64 (pow.f64 b 2) 2)))
(.f64 (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 b 2) 4)) (.f64 1/4 (/.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 angle (/.f64 b 4)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 4)) 2) (pow.f64 (/.f64 b 4) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 4)) 2) (pow.f64 (.f64 b 1/4) 2))
(.f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (*.f64 b (/.f64 (PI.f64) 4)) 2))
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (*.f64 (PI.f64) (/.f64 angle 4)) 2))
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/4) 2))
(.f64 (pow.f64 (.f64 b (+.f64 angle angle)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(.f64 (pow.f64 (.f64 b (*.f64 angle 4)) 2) (pow.f64 (/.f64 (PI.f64) 4) 2))
(.f64 (pow.f64 (.f64 b (.f64 (PI.f64) 2)) 2) (pow.f64 (.f64 angle 1/2) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 4)) 2) (pow.f64 (/.f64 angle 4) 2))
(.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 angle 4))) 2) 1/16)
(/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2)) 2)
(/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (+.f64 angle angle))) 2) 4)
(/.f64 (.f64 2 (pow.f64 (.f64 b (*.f64 (PI.f64) (+.f64 angle angle))) 2)) 8)
(/.f64 (+.f64 (.f64 2 (pow.f64 (.f64 b (.f64 (PI.f64) (+.f64 angle angle))) 2)) (.f64 2 (pow.f64 (.f64 b (.f64 (PI.f64) (+.f64 angle angle))) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (PI.f64) angle) 2))) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(+.f64 (*.f64 (PI.f64) angle) 0)
(+.f64 0 (*.f64 (PI.f64) angle))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/2)) (.f64 (PI.f64) (.f64 angle 1/2)))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (.f64 (PI.f64) (.f64 angle 1/2))))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (/.f64 (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 2) 2))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 4))
(-.f64 (*.f64 (PI.f64) angle) 0)
(-.f64 (.f64 (PI.f64) (.f64 angle 1/2)) (/.f64 (*.f64 (PI.f64) angle) -2))
(-.f64 (+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (.f64 (PI.f64) (.f64 angle 1/2))) (-.f64 0 (.f64 (PI.f64) (/.f64 angle 4))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 3)) 2) 2) (/.f64 (/.f64 (*.f64 (PI.f64) angle) -2) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 3)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) angle)) 4))
(/.f64 (*.f64 (PI.f64) angle) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(/.f64 (.f64 (PI.f64) (.f64 angle 4)) 4)
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 4))) 8)
(/.f64 (.f64 (.f64 angle 4) (*.f64 (PI.f64) 4)) 16)
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 4))) (.f64 (PI.f64) (.f64 2 (.f64 angle 4)))) 16)
(/.f64 (+.f64 (.f64 (.f64 angle 4) (.f64 (PI.f64) 4)) (.f64 (.f64 angle 4) (.f64 (PI.f64) 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(pow.f64 (*.f64 (PI.f64) angle) 1)

Outputs
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 b (.f64 angle (PI.f64))) 2)
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(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(+.f64 (*.f64 (PI.f64) angle) 0)
(*.f64 angle (PI.f64))
(+.f64 0 (*.f64 (PI.f64) angle))
(*.f64 angle (PI.f64))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/2)) (.f64 (PI.f64) (.f64 angle 1/2)))
(*.f64 angle (PI.f64))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (.f64 (PI.f64) (.f64 angle 1/2))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/2)) (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (/.f64 (PI.f64) 4))))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (PI.f64) 4) (+.f64 angle angle)))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (*.f64 (+.f64 angle angle) (/.f64 (PI.f64) 4)))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (/.f64 (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 2) 2))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 3 (*.f64 angle (PI.f64))) 4))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 4))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 6)) 8))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 4))
(+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 4))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 3 (*.f64 angle (PI.f64))) 4))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 3)) 4))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 (PI.f64) (*.f64 angle 6)) 8))
(-.f64 (*.f64 (PI.f64) angle) 0)
(*.f64 angle (PI.f64))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/2)) (/.f64 (*.f64 (PI.f64) angle) -2))
(*.f64 angle (PI.f64))
(-.f64 (+.f64 (.f64 (PI.f64) (/.f64 angle 4)) (.f64 (PI.f64) (.f64 angle 1/2))) (-.f64 0 (.f64 (PI.f64) (/.f64 angle 4))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/2)) (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (/.f64 (PI.f64) 4))))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (PI.f64) 4) (+.f64 angle angle)))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (*.f64 (+.f64 angle angle) (/.f64 (PI.f64) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 3)) 2) 2) (/.f64 (/.f64 (*.f64 (PI.f64) angle) -2) 2))
(*.f64 angle (PI.f64))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 3)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) angle)) 4))
(*.f64 angle (PI.f64))
(/.f64 (*.f64 (PI.f64) angle) 1)
(*.f64 angle (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 angle 4)) 4)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 4))) 8)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 angle 4) (*.f64 (PI.f64) 4)) 16)
(*.f64 angle (PI.f64))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 4))) (.f64 (PI.f64) (.f64 2 (.f64 angle 4)))) 16)
(*.f64 angle (PI.f64))
(/.f64 (+.f64 (.f64 (.f64 angle 4) (.f64 (PI.f64) 4)) (.f64 (.f64 angle 4) (.f64 (PI.f64) 4))) 32)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 4))) 64)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(*.f64 angle (PI.f64))
(pow.f64 (*.f64 (PI.f64) angle) 1)
(*.f64 angle (PI.f64))

localize205.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2)
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
	24.7b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
✓	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))

Compiler

Compiled 152 to 113 computations (25.7% saved)

series45.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	b	@	0	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2)
3.0ms	angle	@	0	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2)
2.0ms	angle	@	-inf	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2)
2.0ms	angle	@	inf	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2)
1.0ms	b	@	inf	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2)

rewrite306.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational_best-4`
1328×	`rational_best-2`
1328×	`rational_best-3`
1328×	`rational_best-1`
1328×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	144	107
2	327	107
3	972	65
4	4427	65

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 8) (/.f64 (*.f64 -5 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -5 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 8) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2)) (sin.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2))) (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2)) (sin.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (+.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -4) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (+.f64 (+.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -4) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -3) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4) (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2) 2))))) (#(struct:change #<rule 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1/180) 1/2)) 2)) (cos.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2))) (+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (+.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (cos.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4)) (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) (cos.f64 0)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2) (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2) (/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/90))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/90))) (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/90)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle 1/90)) (*.f64 2 (*.f64 (PI.f64) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2) (/.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 2) (/.f64 (neg.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 1/2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (pow.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)) (pow.f64 (*.f64 1/2 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 b) 2) (*.f64 4 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)) (/.f64 (pow.f64 b 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 4 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (pow.f64 (/.f64 b 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b 4) 2) (*.f64 4 (*.f64 4 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 2) 2) (*.f64 2 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) (*.f64 2 (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 1/2 b)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 2) (pow.f64 (/.f64 b 8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b 8) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (pow.f64 (+.f64 b b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (+.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) (*.f64 2 (*.f64 2 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))) 8)))))

simplify692.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-1`
650×	`rational_best-simplify-55`
590×	`rational_best-simplify-62`
558×	`rational_best-simplify-47`
540×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	5550
1	731	5294
2	2026	5278
3	7272	5274

Stop Event

1×	node limit

Counts

154 → 155

Calls

Call 1

Inputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/34992000 (.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 1/180 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 angle (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 angle (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 (pow.f64 angle 2) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2)))) (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (pow.f64 b 2))))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (+.f64 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/129600 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 (pow.f64 b 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 1/2 (.f64 (-.f64 (.f64 -1/34992000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64)))))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 angle (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 (pow.f64 angle 2) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2)))) (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (pow.f64 b 2)))))))))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 4) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 8) (/.f64 (.f64 -5 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 8))
(+.f64 (/.f64 (.f64 -5 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 8) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 8))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2))) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(-.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(-.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -2))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -4) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -2)))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -3) 4))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (+.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -4) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -2)) 0))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -3) 4) 0))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 4) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -4))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 4) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -2) 2))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 4) (+.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -2) 2) 0))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(-.f64 (.f64 3 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -4))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) (+.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) 0))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (/.f64 (cos.f64 0) 2))
(.f64 2 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 2 (.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (cos.f64 0)))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)
(.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) 1/4)
(.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) (/.f64 (cos.f64 0) 4))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -1)
(.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 1/8)
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 1/4 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2))
(.f64 1/8 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4))
(.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4)) 1/16)
(.f64 -2 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2))
(.f64 1/16 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(.f64 (.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (cos.f64 0)) 2)
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2) 4)
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -1)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4)) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 4))) 32)
(/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2) (cos.f64 0)) 4)
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2) (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) -1)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 1/90))) 4)
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 1/90))) (.f64 (PI.f64) (.f64 2 (.f64 angle 1/90)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 angle 1/90)) (.f64 2 (*.f64 (PI.f64) 2))) 16)
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(+.f64 0 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 2) (/.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 2))
(-.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))
(.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1)
(.f64 1 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(.f64 4 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 1/2 b)) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) (pow.f64 b 2))
(.f64 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 1/2)
(.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) (pow.f64 (*.f64 1/2 b) 2))
(.f64 (pow.f64 (.f64 1/2 b) 2) (.f64 4 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
(.f64 1/4 (.f64 2 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (+.f64 b b)) 2))
(.f64 (.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) (/.f64 (pow.f64 b 2) 2))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))) 1/4)
(.f64 (.f64 4 (.f64 4 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (pow.f64 (/.f64 b 4) 2))
(.f64 (pow.f64 (/.f64 b 4) 2) (.f64 4 (.f64 4 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))))
(.f64 (/.f64 (pow.f64 b 2) 2) (.f64 2 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 2) (.f64 2 (pow.f64 b 2)))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 1/2 b)) 2) 4)
(.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 2) (pow.f64 (/.f64 b 8) 2))
(.f64 (pow.f64 (/.f64 b 8) 2) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 2))
(.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (+.f64 b b) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (+.f64 b b)) 2) 1/4)
(/.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) 8)

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

localize445.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	58.2b	(cos.f64 (*.f64 -1/2 (PI.f64)))

Compiler

Compiled 189 to 123 computations (34.9% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite529.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`rational_best-2`
1304×	`rational_best-3`
1304×	`rational_best-1`
1302×	`rational_best-4`
1302×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	51	13
2	98	13
3	267	13
4	858	5
5	4138	5

Stop Event

1×	node limit

Counts

1 → 111

Calls

Call 1

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

Outputs

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

simplify596.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational_best-simplify-55`
1096×	`rational_best-simplify-3`
808×	`rational_best-simplify-1`
610×	`rational_best-simplify-80`
468×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	1103
1	480	1057
2	1470	957
3	7695	957

Stop Event

1×	node limit

Counts

111 → 129

Calls

Call 1

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

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

eval3.8s (5.7%)

Compiler: Compiled 57462 to 42769 computations (25.6% saved)

prune3.0s (4.4%)

Pruning

57 alts after pruning (54 fresh and 3 done)

	Pruned	Kept	Total
New	1443	29	1472
Fresh	10	25	35
Picked	1	0	1
Done	2	3	5
Total	1456	57	1513

Error

17.7b

Counts

1513 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	38.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	20.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	25.0b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
	18.9b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 0) 2)) 2)) 2))
▶	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 angle 4)) 8)) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
▶	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	26.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 0) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (cos.f64 (.f64 3/2 (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 2))
	19.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
▶	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 4))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 0) 2) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
✓	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
▶	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
✓	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
	27.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
	38.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
▶	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
✓	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
	32.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))

Compiler

Compiled 3455 to 2780 computations (19.5% saved)

localize385.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	24.7b	(sin.f64 (.f64 (.f64 angle (PI.f64)) -1/180))
	24.7b	(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))

Compiler

Compiled 273 to 182 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite280.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`rational_best-simplify-63`
592×	`rational_best-4`
592×	`rational_best-2`
592×	`rational_best-3`
592×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	68	19
2	150	19
3	411	19
4	1423	19

Stop Event

1×	node limit

Counts

1 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) (*.f64 (sin.f64 0) (cos.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) (neg.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))) (neg.f64 (neg.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 angle (*.f64 (PI.f64) -1/180)))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) -1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 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simplify868.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational_best-simplify-1`
706×	`rational_best-simplify-50`
594×	`rational_best-simplify-52`
592×	`rational_best-simplify-48`
584×	`rational_best-simplify-79`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	6610
1	656	5762
2	1741	5062
3	7074	5026

Stop Event

1×	node limit

Counts

118 → 180

Calls

Call 1

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

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

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 angle (PI.f64)) b)
✓	0.2b	(*.f64 angle (PI.f64))
✓	0.3b	(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
✓	0.3b	(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series19.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	angle	@	0	(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
0.0ms	angle	@	inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
0.0ms	angle	@	-inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
0.0ms	b	@	inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
0.0ms	b	@	-inf	(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))

rewrite318.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`rational_best-2`
1876×	`rational_best-3`
1876×	`rational_best-1`
1848×	`rational_best-4`
754×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	80	72
2	156	72
3	404	72
4	1352	72
5	5483	72

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle (PI.f64)) b) 2))
(pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)
(*.f64 angle (PI.f64))
(.f64 (.f64 angle (PI.f64)) b)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 angle (.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (.f64 (PI.f64) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))) (/.f64 (.f64 angle (.f64 (PI.f64) b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2)))) (-.f64 0 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 angle (.f64 2 (.f64 (PI.f64) 4))) (.f64 2 (.f64 b 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 angle (.f64 2 (.f64 (PI.f64) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (PI.f64) (.f64 2 (.f64 b 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 angle (.f64 2 (.f64 b 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 angle (.f64 2 (.f64 b 4))) (.f64 2 (.f64 (PI.f64) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) (.f64 2 (.f64 b 4))) (.f64 2 (.f64 angle 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (.f64 (PI.f64) b)) 1)))))

simplify698.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational_best-simplify-63`
816×	`rational_best-simplify-50`
664×	`rational_best-simplify-55`
566×	`rational_best-simplify-49`
558×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	4457
1	885	4349
2	2652	4337
3	7686	4337

Stop Event

1×	node limit

Counts

207 → 155

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(.f64 angle (.f64 b (PI.f64)))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 0)
(+.f64 0 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
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(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 2)))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 2) 2))
(+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 4))
(-.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 0)
(-.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) -2))
(-.f64 (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 2)) (-.f64 0 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 2) 2) (/.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1/10800) 4) (/.f64 (neg.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2))) 4))
(/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 1)
(/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/8100) 4)
(/.f64 (.f64 1/16200 (pow.f64 (.f64 (PI.f64) (*.f64 angle (+.f64 b b))) 2)) 8)
(/.f64 (+.f64 (.f64 1/16200 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)) (.f64 1/16200 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (*.f64 angle (PI.f64)) 2))) 4)
(pow.f64 (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 1)
(+.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 0)
(+.f64 0 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2))
(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2)))
(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 3) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 3) 4))
(-.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) -2))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4) (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 4))
(.f64 2 (.f64 (pow.f64 b 2) (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2)))
(.f64 2 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1)
(.f64 1 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2))
(.f64 (pow.f64 (.f64 angle (PI.f64)) 2) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (pow.f64 (.f64 angle (PI.f64)) 2))
(.f64 (.f64 2 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 1/2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) b) 2))
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 angle b) 2))
(.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))
(.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(.f64 (.f64 2 (pow.f64 (*.f64 angle (PI.f64)) 2)) (/.f64 (pow.f64 b 2) 2))
(.f64 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1 (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2))
(.f64 (.f64 2 (pow.f64 b 2)) (.f64 1 (/.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle (+.f64 b b))) 2) 1/4)
(.f64 4 (pow.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))) 2))
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (*.f64 angle (+.f64 b b))) 2))
(.f64 (/.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 2) (*.f64 2 (pow.f64 b 2)))
(.f64 (/.f64 (pow.f64 b 2) 2) (.f64 2 (pow.f64 (*.f64 angle (PI.f64)) 2)))
(.f64 (.f64 (pow.f64 angle 2) 2) (/.f64 (pow.f64 (*.f64 (PI.f64) b) 2) 2))
(.f64 (.f64 (pow.f64 angle 2) 2) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (/.f64 (pow.f64 (*.f64 angle b) 2) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 angle 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (/.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/2 (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2)))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2))) (/.f64 (pow.f64 b 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) 2)))
(.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)) 1/8)
(.f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 (PI.f64) (.f64 b 1/2)) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 angle (.f64 b 1/2)) 2))
(.f64 (pow.f64 (.f64 angle 1/2) 2) (pow.f64 (*.f64 (PI.f64) (+.f64 b b)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (*.f64 b 1/2) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 angle (+.f64 b b)) 2))
(.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (.f64 angle (*.f64 (PI.f64) 1/2)) 2))
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (+.f64 b b) 2))
(.f64 (pow.f64 (.f64 b 1/2) 2) (pow.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 4)) (.f64 (pow.f64 (*.f64 angle 1/2) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (+.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 angle 2) 4)) (.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (/.f64 (pow.f64 b 2) 2)))
(.f64 (+.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (+.f64 b b) 2)) (.f64 1/4 (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2)))
(.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2)) (.f64 1/4 (/.f64 (pow.f64 b 2) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 b b)) 2) (pow.f64 (*.f64 angle 1/2) 2))
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (*.f64 angle (/.f64 (PI.f64) 4)) 2))
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (.f64 (.f64 angle (PI.f64)) 1/4) 2))
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 b (/.f64 angle 4)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 4)) 2) (pow.f64 (/.f64 angle 4) 2))
(.f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (*.f64 b (/.f64 (PI.f64) 4)) 2))
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) 4)) 2) (pow.f64 (/.f64 b 4) 2))
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(.f64 (pow.f64 (.f64 angle (+.f64 b b)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(.f64 (pow.f64 (.f64 angle (*.f64 b 4)) 2) (pow.f64 (/.f64 (PI.f64) 4) 2))
(.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 4))) 2) 1/16)
(/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 2)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2) 4)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 angle (+.f64 b b))) 2)) 8)
(/.f64 (+.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)) (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2)))) 16)
(+.f64 (*.f64 angle (PI.f64)) 0)
(+.f64 0 (*.f64 angle (PI.f64)))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (.f64 angle (.f64 (PI.f64) 1/2)))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (.f64 (PI.f64) 1/2))))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 2) 2))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4))
(-.f64 (*.f64 angle (PI.f64)) 0)
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (*.f64 angle (PI.f64)) -2))
(-.f64 (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (.f64 (PI.f64) 1/2))) (-.f64 0 (.f64 angle (/.f64 (PI.f64) 4))))
(-.f64 (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (*.f64 angle (PI.f64)) -2) 2))
(-.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (*.f64 angle (PI.f64))) 4))
(/.f64 (*.f64 angle (PI.f64)) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 4)) 4)
(/.f64 (.f64 angle (.f64 2 (*.f64 (PI.f64) 4))) 8)
(/.f64 (.f64 4 (.f64 angle (*.f64 (PI.f64) 4))) 16)
(/.f64 (+.f64 (.f64 angle (.f64 2 (.f64 (PI.f64) 4))) (.f64 angle (.f64 2 (.f64 (PI.f64) 4)))) 16)
(/.f64 (+.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) 4))) (.f64 4 (.f64 angle (.f64 (PI.f64) 4)))) 32)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 4))) 64)
(pow.f64 (*.f64 angle (PI.f64)) 1)
(+.f64 (.f64 angle (.f64 (PI.f64) b)) 0)
(+.f64 0 (.f64 angle (.f64 (PI.f64) b)))
(+.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 angle (.f64 (PI.f64) (*.f64 b 1/2)))))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (/.f64 (.f64 (.f64 angle b) (*.f64 (PI.f64) 3)) 2) 2))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (.f64 (.f64 angle b) (*.f64 (PI.f64) 3)) 4))
(-.f64 (.f64 angle (.f64 (PI.f64) b)) 0)
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(-.f64 (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2)))) (-.f64 0 (/.f64 (.f64 angle (*.f64 (PI.f64) b)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) b)) -2) 2))
(-.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (.f64 angle (*.f64 (PI.f64) b))) 4))
(/.f64 (.f64 angle (.f64 (PI.f64) b)) 1)
(/.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 b 4))) 4)
(/.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) 8)
(/.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4))))) 16)
(/.f64 (+.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4))))) 32)
(/.f64 (.f64 (.f64 angle (.f64 2 (.f64 (PI.f64) 4))) (.f64 2 (.f64 b 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 angle (.f64 2 (.f64 (PI.f64) 4)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (PI.f64) (.f64 2 (.f64 b 4)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 angle (.f64 2 (.f64 b 4)))) 64)
(/.f64 (.f64 (.f64 angle (.f64 2 (.f64 b 4))) (.f64 2 (.f64 (PI.f64) 4))) 64)
(/.f64 (.f64 (.f64 (PI.f64) (.f64 2 (.f64 b 4))) (.f64 2 (.f64 angle 4))) 64)
(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 1)

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
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(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (pow.f64 (.f64 (PI.f64) (*.f64 angle b)) 2))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
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(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
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(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
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(.f64 (+.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (+.f64 b b) 2)) (.f64 1/4 (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2) (pow.f64 (.f64 (PI.f64) (+.f64 angle angle)) 2)) (.f64 1/4 (/.f64 (pow.f64 b 2) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 b b)) 2) (pow.f64 (*.f64 angle 1/2) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (*.f64 angle (/.f64 (PI.f64) 4)) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 b 4) 2) (pow.f64 (.f64 (.f64 angle (PI.f64)) 1/4) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 b (/.f64 angle 4)) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 4)) 2) (pow.f64 (/.f64 angle 4) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (*.f64 b (/.f64 (PI.f64) 4)) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) 4)) 2) (pow.f64 (/.f64 b 4) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 4)) 2) (pow.f64 (.f64 b 1/4) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (+.f64 b b)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (*.f64 b 4)) 2) (pow.f64 (/.f64 (PI.f64) 4) 2))
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 4))) 2) 1/16)
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2) 1)
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)) 2)
(pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(/.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2) 4)
(/.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) (+.f64 b b))) 2) 4)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 angle (+.f64 b b))) 2)) 8)
(/.f64 (.f64 2 (pow.f64 (.f64 angle (*.f64 (PI.f64) (+.f64 b b))) 2)) 8)
(/.f64 (+.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)) (.f64 2 (pow.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2))) 16)
(/.f64 (.f64 2 (pow.f64 (.f64 (PI.f64) (*.f64 angle (+.f64 b b))) 2)) 8)
(/.f64 (.f64 2 (pow.f64 (.f64 angle (*.f64 (PI.f64) (+.f64 b b))) 2)) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2))) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(/.f64 (.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 4)) 16)
(/.f64 (.f64 4 (.f64 (pow.f64 (.f64 angle (PI.f64)) 2) (.f64 (pow.f64 b 2) 4))) 16)
(/.f64 (.f64 4 (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 angle (PI.f64)) 2)))) 16)
(/.f64 (.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 (.f64 angle (PI.f64)) 2) 4)) 16)
(/.f64 (.f64 4 (.f64 (pow.f64 (.f64 angle (PI.f64)) 2) (.f64 (pow.f64 b 2) 4))) 16)
(/.f64 (.f64 4 (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 4)) 16)
(+.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(+.f64 0 (*.f64 angle (PI.f64)))
(*.f64 angle (PI.f64))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (.f64 angle (.f64 (PI.f64) 1/2)))
(*.f64 angle (PI.f64))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (.f64 (PI.f64) 1/2))))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (/.f64 (PI.f64) 4))))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (PI.f64) 4) (+.f64 angle angle)))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 2) 2))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4))
(+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4))
(-.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (*.f64 angle (PI.f64)) -2))
(*.f64 angle (PI.f64))
(-.f64 (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (.f64 (PI.f64) 1/2))) (-.f64 0 (.f64 angle (/.f64 (PI.f64) 4))))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (+.f64 (.f64 angle (/.f64 (PI.f64) 4)) (.f64 angle (/.f64 (PI.f64) 4))))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (PI.f64) 4) (+.f64 angle angle)))
(-.f64 (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (*.f64 angle (PI.f64)) -2) 2))
(*.f64 angle (PI.f64))
(-.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (*.f64 angle (PI.f64))) 4))
(*.f64 angle (PI.f64))
(/.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 angle angle)) 2)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (.f64 (PI.f64) 4)) 4)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (.f64 2 (*.f64 (PI.f64) 4))) 8)
(*.f64 angle (PI.f64))
(/.f64 (.f64 4 (.f64 angle (*.f64 (PI.f64) 4))) 16)
(*.f64 angle (PI.f64))
(/.f64 (+.f64 (.f64 angle (.f64 2 (.f64 (PI.f64) 4))) (.f64 angle (.f64 2 (.f64 (PI.f64) 4)))) 16)
(*.f64 angle (PI.f64))
(/.f64 (+.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) 4))) (.f64 4 (.f64 angle (.f64 (PI.f64) 4)))) 32)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 4))) 64)
(*.f64 angle (PI.f64))
(pow.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))
(+.f64 (.f64 angle (.f64 (PI.f64) b)) 0)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(+.f64 0 (.f64 angle (.f64 (PI.f64) b)))
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(+.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))))
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 angle (.f64 (PI.f64) (*.f64 b 1/2)))))
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (/.f64 (.f64 (.f64 angle b) (*.f64 (PI.f64) 3)) 2) 2))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 angle b)) (.f64 3 (.f64 (PI.f64) (*.f64 angle b)))) 4)
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 angle b)) 4) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (/.f64 (.f64 (.f64 angle b) (*.f64 (PI.f64) 3)) 4))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 angle b)) (.f64 3 (.f64 (PI.f64) (*.f64 angle b)))) 4)
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 angle b)) 4) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(-.f64 (.f64 angle (.f64 (PI.f64) b)) 0)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(-.f64 (.f64 angle (.f64 (PI.f64) (.f64 b 1/2))) (/.f64 (.f64 angle (*.f64 (PI.f64) b)) -2))
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(-.f64 (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) b)) 4) (.f64 angle (.f64 (PI.f64) (.f64 b 1/2)))) (-.f64 0 (/.f64 (.f64 angle (*.f64 (PI.f64) b)) 4)))
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) b)) -2) 2))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 angle b)) (.f64 3 (.f64 (PI.f64) (*.f64 angle b)))) 4)
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 angle b)) 4) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(-.f64 (/.f64 (.f64 (.f64 angle b) (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (.f64 angle (*.f64 (PI.f64) b))) 4))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 angle b)) (.f64 3 (.f64 (PI.f64) (*.f64 angle b)))) 4)
(/.f64 (.f64 (.f64 (PI.f64) (*.f64 angle b)) 4) 4)
(/.f64 (.f64 (.f64 angle (*.f64 b (PI.f64))) 4) 4)
(/.f64 (.f64 angle (.f64 (PI.f64) b)) 1)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle (+.f64 b b))) 2)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 b 4))) 4)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) 8)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) 16)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) (.f64 2 (.f64 angle (.f64 (PI.f64) (.f64 b 4))))) 16)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (+.f64 (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4)))) (.f64 4 (.f64 angle (.f64 (PI.f64) (.f64 b 4))))) 32)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (.f64 angle (.f64 2 (.f64 (PI.f64) 4))) (.f64 2 (.f64 b 4))) 64)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 b 4)) (.f64 angle (.f64 2 (.f64 (PI.f64) 4)))) 64)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (PI.f64) (.f64 2 (.f64 b 4)))) 64)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 angle (.f64 2 (.f64 b 4)))) 64)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (.f64 angle (.f64 2 (.f64 b 4))) (.f64 2 (.f64 (PI.f64) 4))) 64)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 2 (.f64 b 4))) (.f64 2 (.f64 angle 4))) 64)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))
(pow.f64 (.f64 angle (.f64 (PI.f64) b)) 1)
(.f64 (PI.f64) (.f64 angle b))
(.f64 angle (.f64 b (PI.f64)))

localize118.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2)
	0.3b	(.f64 (PI.f64) (.f64 1/180 angle))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 86 to 57 computations (33.7% saved)

series15.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite341.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2130×	`rational_best-2`
2130×	`rational_best-3`
2130×	`rational_best-1`
1106×	`rational_best-simplify-63`
910×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	84	27
2	181	27
3	493	27
4	1797	27
5	6438	27

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 2) (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) (+.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 2) (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 2) (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)) (pow.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/180 angle) 2) (pow.f64 (*.f64 b (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (PI.f64)) 2) (pow.f64 (*.f64 1/180 angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle (*.f64 b 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 angle 2) (pow.f64 (*.f64 (PI.f64) (*.f64 b 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/32400) (pow.f64 (*.f64 b angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 angle (*.f64 b 1/180)) 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b angle) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 b 2)) (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200) (/.f64 (pow.f64 b 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32400 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) (*.f64 (pow.f64 b 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) (pow.f64 (*.f64 b 1/180) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 b 2) 1/32400) (pow.f64 (*.f64 (PI.f64) angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/32400)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 1/32400) (pow.f64 angle 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 b angle) 1/90)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 2) 2) (*.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)) 2) (*.f64 2 (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 angle 1/90) 2) (pow.f64 (*.f64 b (/.f64 (PI.f64) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b 2) 2) (pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (*.f64 (PI.f64) (/.f64 (*.f64 1/180 angle) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b 1/180) 2) (pow.f64 (*.f64 (PI.f64) angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (/.f64 (PI.f64) 2)) 2) (pow.f64 (*.f64 angle 1/90) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) 2) (pow.f64 (/.f64 b 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (*.f64 1/180 angle) 2)) 2) (pow.f64 (+.f64 b b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 b angle) 1/90)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 4) (*.f64 (*.f64 (pow.f64 (*.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 b 2))) (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200)) (*.f64 2 (*.f64 2 (pow.f64 b 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 b 2))) (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200)) (pow.f64 b 2)) 4)))))

simplify322.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational_best-simplify-63`
844×	`rational_best-simplify-51`
796×	`rational_best-simplify-50`
710×	`rational_best-simplify-57`
706×	`rational_best-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	2640
1	343	2160
2	802	2160
3	2656	2160

Stop Event

1×	node limit

Counts

80 → 60

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 0)
(+.f64 0 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 2) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) (+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 2)))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 3) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 3) 4))
(-.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 2) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) -2))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2)) 4))
(.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 1)
(.f64 1 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(.f64 (pow.f64 b 2) (.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)))
(.f64 (.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)) (pow.f64 b 2))
(.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 1/2)
(.f64 (pow.f64 (.f64 1/180 angle) 2) (pow.f64 (*.f64 b (PI.f64)) 2))
(.f64 (pow.f64 (.f64 b (PI.f64)) 2) (pow.f64 (*.f64 1/180 angle) 2))
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 angle (*.f64 b 1/180)) 2))
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 1/32400))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1/32400) (pow.f64 (*.f64 b angle) 2))
(.f64 (pow.f64 (.f64 angle (*.f64 b 1/180)) 2) (pow.f64 (PI.f64) 2))
(.f64 (pow.f64 (.f64 b angle) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/2 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200))
(.f64 (.f64 2 (pow.f64 b 2)) (/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) angle) 2)) 2))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200) (/.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4) 1/4)
(.f64 1/32400 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (*.f64 (pow.f64 b 2) 1/32400))
(.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (pow.f64 (*.f64 b 1/180) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2))
(.f64 (.f64 (pow.f64 b 2) 1/32400) (pow.f64 (*.f64 (PI.f64) angle) 2))
(.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/32400)
(.f64 (.f64 (pow.f64 (*.f64 b (PI.f64)) 2) 1/32400) (pow.f64 angle 2))
(.f64 1/4 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 4))
(.f64 1/4 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 b angle) 1/90)) 2))
(.f64 (/.f64 (pow.f64 b 2) 2) (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) 1/16200))
(.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) angle) 2)) 2) (.f64 2 (pow.f64 b 2)))
(.f64 (pow.f64 (.f64 angle 1/90) 2) (pow.f64 (*.f64 b (/.f64 (PI.f64) 2)) 2))
(.f64 (pow.f64 (/.f64 b 2) 2) (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) 2))
(.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (.f64 (PI.f64) (/.f64 (*.f64 1/180 angle) 2)) 2))
(.f64 (pow.f64 (.f64 b 1/180) 2) (pow.f64 (*.f64 (PI.f64) angle) 2))
(.f64 (pow.f64 (.f64 b (/.f64 (PI.f64) 2)) 2) (pow.f64 (*.f64 angle 1/90) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) 2) (pow.f64 (/.f64 b 2) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (*.f64 1/180 angle) 2)) 2) (pow.f64 (+.f64 b b) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 b angle) 1/90)) 2) 1/4)
(/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 1)
(/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) 4)
(/.f64 (.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 4) 8)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 4) (.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200)) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200)) (pow.f64 b 2)) 4)

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
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(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (/.f64 b 2) 2) (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (.f64 (PI.f64) (/.f64 (*.f64 1/180 angle) 2)) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (.f64 b 1/180) 2) (pow.f64 (*.f64 (PI.f64) angle) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (.f64 b (/.f64 (PI.f64) 2)) 2) (pow.f64 (*.f64 angle 1/90) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) 2) (pow.f64 (/.f64 b 2) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (*.f64 1/180 angle) 2)) 2) (pow.f64 (+.f64 b b) 2))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 b angle) 1/90)) 2) 1/4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2) 1)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/16200) 2)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) 4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 4) 8)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 4) (.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/16200) 4)) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200)) (.f64 2 (.f64 2 (pow.f64 b 2)))) 16)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2))) 4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 1/16200)) (pow.f64 b 2)) 4)
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2)))
(pow.f64 (.f64 angle (.f64 b (*.f64 (PI.f64) 1/180))) 2)
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2))

localize249.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/180 angle)
✓	0.3b	(pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2)
✓	24.5b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))

Compiler

Compiled 155 to 115 computations (25.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite377.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`rational_best-4`
1362×	`rational_best-2`
1362×	`rational_best-3`
1362×	`rational_best-1`
1362×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	93
1	151	93
2	337	93
3	996	57
4	4545	57

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

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

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

(*.f64 1/180 angle)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4) (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8) (/.f64 (*.f64 -5 (neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -5 (neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 8) (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 2)) (sin.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 2))) (*.f64 (cos.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 2)) (sin.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4) (+.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -4) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4) (/.f64 (*.f64 -3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4) (+.f64 (+.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -4) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4) (+.f64 (/.f64 (*.f64 -3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4) (/.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 4) (+.f64 (/.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -2) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4)) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2))) (*.f64 (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2))) (+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (+.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (cos.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4)) (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) (cos.f64 0)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 2) (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 2) (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 b 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2)) (pow.f64 (*.f64 b 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b 1/2) 2) (*.f64 4 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2)) (/.f64 (pow.f64 b 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 2) (pow.f64 (/.f64 b 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b 4) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 2) 2) (*.f64 2 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) (*.f64 2 (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 b 1/2)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) 2) (pow.f64 (+.f64 b b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 2) (pow.f64 (/.f64 b 8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b 8) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))) (*.f64 2 (*.f64 2 (pow.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)))) 8)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle 1/180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 angle 1/180) 2) (/.f64 (*.f64 angle 1/180) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle 1/180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 angle 1/180) 2) (/.f64 (neg.f64 (*.f64 angle 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle 1/180) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle 1/90) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle 1/90)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 angle 1/90)) (*.f64 2 (*.f64 angle 1/90))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle 1/180) 1)))))

simplify593.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best-simplify-56`
938×	`rational_best-simplify-3`
924×	`rational_best-simplify-1`
658×	`rational_best-simplify-55`
460×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	5129
1	735	4893
2	1875	4873
3	5966	4869

Stop Event

1×	node limit

Counts

139 → 160

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 angle (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 angle (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 (pow.f64 angle 2) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2)))) (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (pow.f64 b 2))))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (+.f64 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/129600 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 (pow.f64 b 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 1/2 (.f64 (-.f64 (.f64 -1/34992000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64)))))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 angle (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 (pow.f64 angle 2) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2)))) (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (pow.f64 b 2)))))))))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (cos.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(.f64 1/4 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 b 2)))
(+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)
(+.f64 0 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(+.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))
(+.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) (/.f64 (.f64 3 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(+.f64 (/.f64 (.f64 3 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 4) (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))
(+.f64 (/.f64 (.f64 3 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8) (/.f64 (.f64 -5 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 8))
(+.f64 (/.f64 (.f64 -5 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 8) (/.f64 (.f64 3 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 8))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2))) (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2))))
(-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)
(-.f64 0 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(-.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -2))
(-.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) (+.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -4) (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -2)))
(-.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) (/.f64 (.f64 -3 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4))
(-.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) (+.f64 (+.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -4) (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) -2)) 0))
(-.f64 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) (+.f64 (/.f64 (.f64 -3 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 4) 0))
(-.f64 (/.f64 (.f64 3 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 4) (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -4))
(-.f64 (/.f64 (.f64 3 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 4) (/.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -2) 2))
(-.f64 (/.f64 (.f64 3 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 4) (+.f64 (/.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -2) 2) 0))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(-.f64 (.f64 3 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -4))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) (+.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) 0))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1)
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 1/2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1/2)
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (/.f64 (cos.f64 0) 2))
(.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))
(.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (cos.f64 0)))
(.f64 1 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2)
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 1/4)
(.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) (/.f64 (cos.f64 0) 4))
(.f64 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -1)
(.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 1/8)
(.f64 (cos.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 1/4 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2))
(.f64 1/8 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))
(.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) 1/16)
(.f64 -2 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2))
(.f64 1/16 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))
(.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (cos.f64 0)) 2)
(/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 4)
(/.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -1)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4))) 32)
(/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) (cos.f64 0)) 4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(neg.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 0)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 2))
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)) 2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 1)
(.f64 1 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))
(.f64 4 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 b 1/2)) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2))
(.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2)) 1/2)
(.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (pow.f64 (*.f64 b 1/2) 2))
(.f64 (pow.f64 (.f64 b 1/2) 2) (.f64 4 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2)))
(.f64 1/4 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 b b)) 2))
(.f64 (.f64 2 (pow.f64 b 2)) (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (/.f64 (pow.f64 b 2) 2))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))) 1/4)
(.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 2) (pow.f64 (/.f64 b 4) 2))
(.f64 (pow.f64 (/.f64 b 4) 2) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) 2))
(.f64 (/.f64 (pow.f64 b 2) 2) (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) (.f64 2 (pow.f64 b 2)))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (*.f64 b 1/2)) 2) 4)
(.f64 (pow.f64 (+.f64 b b) 2) (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2) (pow.f64 (+.f64 b b) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 b b)) 2) 1/4)
(.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 2) (pow.f64 (/.f64 b 8) 2))
(.f64 (pow.f64 (/.f64 b 8) 2) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 2))
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)))) 8)
(+.f64 (*.f64 angle 1/180) 0)
(+.f64 0 (*.f64 angle 1/180))
(+.f64 (/.f64 (.f64 angle 1/180) 2) (/.f64 (.f64 angle 1/180) 2))
(-.f64 (*.f64 angle 1/180) 0)
(-.f64 (/.f64 (.f64 angle 1/180) 2) (/.f64 (neg.f64 (.f64 angle 1/180)) 2))
(/.f64 (*.f64 angle 1/180) 1)
(/.f64 (*.f64 angle 1/90) 2)
(/.f64 (.f64 2 (.f64 angle 1/90)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 angle 1/90)) (.f64 2 (.f64 angle 1/90))) 8)
(pow.f64 (*.f64 angle 1/180) 1)

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

localize228.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	24.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	58.2b	(sin.f64 (PI.f64))

Compiler

Compiled 171 to 100 computations (41.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite221.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`rational_best-simplify-51`
676×	`rational_best-simplify-57`
674×	`rational_best-simplify-52`
642×	`rational_best-simplify-48`
546×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	37	7
2	107	7
3	296	7
4	1019	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(sin.f64 (PI.f64))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

eval3.8s (5.7%)

Compiler: Compiled 59629 to 43901 computations (26.4% saved)

prune2.5s (3.7%)

Pruning

65 alts after pruning (59 fresh and 6 done)

	Pruned	Kept	Total
New	1396	28	1424
Fresh	18	31	49
Picked	1	0	1
Done	1	6	7
Total	1416	65	1481

Error

17.6b

Counts

1481 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	38.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	25.0b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
	20.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	24.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 0) 2)) 2)) 2))
	36.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) 2)) (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle -1/180))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))))) 4)) 2)) 2))
	36.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 4)) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (.f64 (PI.f64) -1/180))))) (.f64 (sin.f64 (/.f64 (PI.f64) 4)) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (.f64 (PI.f64) -1/180))))))) 4)) 2)) 2))
	36.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 -1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) 2))) 4)) 2)) 2))
	36.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 -1/180 angle) 1/2))) 2))) 4)) 2)) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 4)) 2)) 2))
	36.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 -1/180 (.f64 angle (PI.f64))))))) 4)) 2)) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))) (sin.f64 (.f64 (.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 angle 4)) 8)) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (cos.f64 (.f64 3/2 (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	26.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 0 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
	27.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
✓	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 4))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	36.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2)))
	24.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
	38.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 0) 2) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
✓	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
✓	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
✓	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
	19.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
	27.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
	27.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
✓	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
✓	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
	24.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))

Compiler

Compiled 2191 to 1761 computations (19.6% saved)

regimes2.4s (3.6%)

Counts

114 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
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(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 -1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) 2))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) 2)) (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle -1/180))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 4)) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (.f64 (PI.f64) -1/180))))) (.f64 (sin.f64 (/.f64 (PI.f64) 4)) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (.f64 (PI.f64) -1/180))))))) 4)) 2)) 2))

Outputs

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

Calls

6 calls:

482.0ms	(/.f64 angle 180)
354.0ms	angle
350.0ms	b
291.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
214.0ms	a

Results

Error	Segments	Branch
18.8b	1	`a`
18.8b	1	`b`
18.8b	1	`angle`
18.8b	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))`
18.8b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
18.8b	1	`(/.f64 angle 180)`

Compiler

Compiled 3648 to 2655 computations (27.2% saved)

regimes1.5s (2.2%)

Counts

111 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 4))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/360))))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 0 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 0) 2) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 0) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (cos.f64 (.f64 3/2 (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 angle 4)) 8)) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 angle 4)) 8)) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 0) 2)) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))) (sin.f64 (.f64 (.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 -1/180 (.f64 angle (PI.f64))))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 -1/180 angle) 1/2))) 2))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 -1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 -1/180 angle)))) 2))) 4)) 2)) 2))

Outputs

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

Calls

6 calls:

220.0ms	angle
195.0ms	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
189.0ms	(/.f64 angle 180)
182.0ms	b
180.0ms	a

Results

Error	Segments	Branch
18.8b	1	`a`
18.8b	1	`b`
18.8b	1	`angle`
18.8b	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))`
18.8b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
18.8b	1	`(/.f64 angle 180)`

Compiler

Compiled 3436 to 2495 computations (27.4% saved)

regimes1.2s (1.8%)

Counts

91 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 4))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/360))))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 0 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 (*.f64 angle (PI.f64)) -1/180))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 0) 2) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 0) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (cos.f64 (.f64 3/2 (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 angle 4)) 8)) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/90) (.f64 angle 4)) 8)) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) 2))) 2))

Outputs

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

Calls

6 calls:

195.0ms	b
189.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
174.0ms	angle
168.0ms	a
165.0ms	(/.f64 angle 180)

Results

Error	Segments	Branch
18.8b	1	`a`
18.8b	1	`b`
18.8b	1	`angle`
18.8b	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))`
18.8b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
18.8b	1	`(/.f64 angle 180)`

Compiler

Compiled 2485 to 1788 computations (28% saved)

regimes766.0ms (1.1%)

Counts

59 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 angle b) 2))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (*.f64 b 1/180)) 2) (pow.f64 angle 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) 1/32400)) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (-.f64 (.f64 angle (.f64 1/60 (PI.f64))) (neg.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 4))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))))) 2)) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (PI.f64)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))) 2))

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

Calls

6 calls:

119.0ms	(/.f64 angle 180)
118.0ms	a
117.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
116.0ms	angle
89.0ms	b

Results

Error	Segments	Branch
18.8b	1	`a`
18.8b	1	`b`
18.8b	1	`angle`
18.8b	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))`
18.8b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
18.8b	1	`(/.f64 angle 180)`

Compiler

Compiled 1355 to 979 computations (27.7% saved)

regimes428.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))

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

Calls

5 calls:

81.0ms	a
72.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
63.0ms	angle
58.0ms	(/.f64 angle 180)
53.0ms	b

Results

Error	Segments	Branch
18.9b	1	`a`
18.9b	1	`b`
18.9b	1	`angle`
18.9b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
18.9b	1	`(/.f64 angle 180)`

Compiler

Compiled 626 to 451 computations (28% saved)

regimes358.0ms (0.5%)

Counts

30 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 b 1/2)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 angle b) 2) (pow.f64 (PI.f64) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 (.f64 (PI.f64) b) 2) (pow.f64 angle 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 b 2))) (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 b 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (*.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (*.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (.f64 (pow.f64 (PI.f64) 2) 2) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 angle 2) 2)))))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle))))) 2) (/.f64 (.f64 (pow.f64 (.f64 b (.f64 (PI.f64) angle)) 2) 1/8100) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (+.f64 (/.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)) 4) (/.f64 (.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) b)) 2) 1/10800) 4)))

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

Calls

5 calls:

76.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
64.0ms	a
63.0ms	(/.f64 angle 180)
56.0ms	angle
55.0ms	b

Results

Error	Segments	Branch
19.1b	1	`a`
19.1b	1	`b`
19.1b	1	`angle`
19.1b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
19.1b	1	`(/.f64 angle 180)`

Compiler

Compiled 584 to 423 computations (27.6% saved)

regimes101.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))

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

Calls

3 calls:

27.0ms	b
27.0ms	a
26.0ms	angle

Results

Error	Segments	Branch
19.1b	1	`a`
19.1b	1	`b`
19.1b	1	`angle`

Compiler

Compiled 156 to 117 computations (25% saved)

regimes144.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))

Outputs

(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 1/4 (pow.f64 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) b) 2)))

(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 1/32400 (pow.f64 (*.f64 (*.f64 angle (PI.f64)) b) 2)))

(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 1/4 (pow.f64 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) b) 2)))

Calls

3 calls:

66.0ms	angle
62.0ms	b
10.0ms	a

Results

Error	Segments	Branch
24.7b	1	`a`
21.3b	3	`b`
20.1b	3	`angle`

Compiler

Compiled 140 to 106 computations (24.3% saved)

bsearch247.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	23476022718975.566	3378836810654508000.0
117.0ms	-9.644700706516853e+41	-6.744190641782471e+40

Results

184.0ms	240×	body	256	valid
56.0ms	36×	body	256	infinite

Compiler

Compiled 615 to 534 computations (13.2% saved)

regimes83.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 b (PI.f64)) (.f64 1/180 angle)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 4 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 b 1/2))) 2))))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))

Calls

3 calls:

36.0ms	a
19.0ms	angle
10.0ms	b

Results

Error	Segments	Branch
24.7b	1	`a`
24.7b	1	`b`
24.7b	1	`angle`

Compiler

Compiled 124 to 93 computations (25% saved)

regimes36.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle b)) 2)))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))

Calls

3 calls:

22.0ms	b
6.0ms	a
6.0ms	angle

Results

Error	Segments	Branch
24.7b	1	`a`
24.7b	1	`b`
24.7b	1	`angle`

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify45.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	948

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) 2)) (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle -1/180))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(if (<=.f64 angle -69999999999999998499724740145138144116736) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2))) (if (<=.f64 angle 24000000000000) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2))) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))

Outputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) 2)) (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle -1/180))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) -1/180)) -2))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 3 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (sin.f64 (.f64 angle (.f64 -1/180 (PI.f64))))) 4)) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (/.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(if (<=.f64 angle -69999999999999998499724740145138144116736) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2))) (if (<=.f64 angle 24000000000000) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2))) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) b) 2)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 (.f64 angle (PI.f64)) b) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) b)) 2)))

Compiler

Compiled 332 to 268 computations (19.3% saved)

soundness1.2s (1.8%)

Algorithm

3×	egg-herbie

Rules

1288×	`rational_best-simplify-51`
1164×	`rational_best-simplify-1`
1118×	`rational_best-simplify-1`
1072×	`rational_best-simplify-3`
1058×	`rational_best-simplify-86`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	516	9637
1	1331	9041
2	3890	8495
0	272	3492
1	682	3456
2	1667	3452
3	6424	3380
0	238	6590
1	568	5586
2	1477	4916
3	6161	4880

Stop Event

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

Compiler

Compiled 536 to 408 computations (23.9% saved)

end627.0ms (0.9%)

Compiler: Compiled 305 to 225 computations (26.2% saved)