Details

analyze2.2s (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.6%	0.1%	0%	0%	0%	8
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
41.1%	35.9%	51.5%	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)

sample20.3s (30.4%)

Results

5.9s	1675×	body	1024	valid
5.2s	5570×	body	256	valid
4.5s	1387×	body	1024	infinite
1.5s	808×	body	512	valid
1.3s	661×	body	512	infinite
1.0s	201×	body	2048	valid
689.0ms	1008×	body	256	infinite
16.0ms	2×	body	4096	valid

Bogosity

preprocess451.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1872×	`rational_best-simplify-62`
800×	`rational_best-simplify-108`
754×	`rational_best-simplify-65`
686×	`rational_best-simplify-1`
680×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	268
1	89	268
2	139	268
3	203	268
4	296	268
5	538	268
6	1111	268
7	2416	268
8	6974	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 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2))

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify351.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best-simplify-50`
942×	`rational_best-simplify-65`
788×	`rational_best-simplify-49`
786×	`rational_best-simplify-108`
680×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	36	67
2	56	67
3	84	67
4	125	67
5	222	67
6	446	67
7	1093	67
8	2925	67
9	7762	67

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

eval2.0ms (0%)

Compiler: Compiled 45 to 34 computations (24.4% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

18.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2))

Status

Error

Program

▶

18.8b

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

▶

18.9b

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

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))))
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
✓	23.9b	(sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))
✓	24.5b	(cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))

Compiler

Compiled 86 to 58 computations (32.6% saved)

series12.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite509.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`rational_best-simplify-63`
956×	`rational_best-4`
956×	`rational_best-2`
956×	`rational_best-3`
956×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	94
1	106	94
2	238	94
3	660	94
4	2388	94

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (/.f64 (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (.f64 (cos.f64 0) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (/.f64 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (-.f64 (/.f64 (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360)))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360)))) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (-.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 4) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 0) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (+.f64 (cos.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))))) 2)))) 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simplify752.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational_best-simplify-1`
1040×	`rational_best-simplify-48`
1024×	`rational_best-simplify-52`
836×	`rational_best-simplify-3`
776×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	13382
1	1324	12534
2	3637	12088

Stop Event

1×	node limit

Counts

306 → 361

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
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(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
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(.f64 1/180 (.f64 angle (*.f64 a (PI.f64))))
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(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 a (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 a (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 a (PI.f64)))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 a (pow.f64 (PI.f64) 5)))))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
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(.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
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(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (/.f64 (pow.f64 a 2) 2))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 4))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 a a)) 2))
(.f64 (/.f64 (pow.f64 a 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 a 2)))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) (pow.f64 (/.f64 a 2) 2))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2))
(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2) (pow.f64 (+.f64 a a) 2))
(.f64 (pow.f64 (/.f64 a 2) 2) (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (+.f64 a a)) 2) 1/4)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 4) 4)
(/.f64 (.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2)) 4) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (.f64 2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2)) 4)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))) (pow.f64 a 2)) 4)
(+.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a))
(+.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 a 2)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 a 2)))
(-.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 0)
(-.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 a 2)) (/.f64 (neg.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a)) 2))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (*.f64 a 4))) 8)
(/.f64 (.f64 (.f64 a 4) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 a 4)) (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) (.f64 2 (*.f64 a 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 a 4)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4)) (+.f64 a a)) 16)
(/.f64 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) (+.f64 a a)) 4)
(/.f64 (.f64 (+.f64 a a) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 4)
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a))) 4)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 2 (.f64 a 4))) 16)
(/.f64 (.f64 (+.f64 a a) (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 16)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)

Outputs
1
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(+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)))
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(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
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(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2)) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))) (pow.f64 a 2)) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(+.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 0)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(+.f64 0 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a))
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(+.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 a 2)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 a 2)))
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(-.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 0)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(-.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 a 2)) (/.f64 (neg.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a)) 2))
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a)) 2)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 a 4)) 4)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (*.f64 a 4))) 8)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (.f64 a 4) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4)) 16)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (.f64 2 (.f64 a 4)) (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 64)
(/.f64 (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (.f64 4 (*.f64 a 2)))) 64)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8) (*.f64 a 8)) 64)
(/.f64 (.f64 (.f64 8 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (*.f64 a 8)) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4)) (.f64 2 (*.f64 a 4))) 64)
(/.f64 (.f64 (.f64 4 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (.f64 4 (*.f64 a 2)))) 64)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 8) (*.f64 a 8)) 64)
(/.f64 (.f64 (.f64 8 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (*.f64 a 8)) 64)
(/.f64 (.f64 (.f64 2 (.f64 a 4)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) 16)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4)) (+.f64 a a)) 16)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) (+.f64 a a)) 4)
(/.f64 (.f64 (+.f64 a a) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) (+.f64 a a)) 4)
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (+.f64 a a))) 4)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 2 (.f64 a 4))) 16)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (+.f64 a a) (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 4))) 16)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 1)
(.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))

localize144.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
✓	0.3b	(*.f64 (/.f64 angle 180) (PI.f64))
✓	24.0b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 86 to 58 computations (32.6% saved)

series4.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite313.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational_best-simplify-63`
932×	`rational_best-4`
932×	`rational_best-2`
932×	`rational_best-3`
932×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	104	84
2	231	84
3	651	84
4	2335	84

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify651.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational_best-simplify-1`
1032×	`rational_best-simplify-3`
1014×	`rational_best-simplify-49`
992×	`rational_best-simplify-63`
894×	`rational_best-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	11491
1	1388	10691
2	3966	10071

Stop Event

1×	node limit

Counts

293 → 380

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 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 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/396718580736000000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8))) (.f64 -1/2777030065152000000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 6))))))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 0)
(+.f64 0 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))))
(+.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2))
(+.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (/.f64 (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2))
(+.f64 (/.f64 (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2))
(+.f64 (/.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (+.f64 (/.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (/.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) 0))
(+.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) (.f64 (cos.f64 0) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))))
(+.f64 (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) (+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) 0))
(-.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 0)
(-.f64 0 (neg.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))))
(-.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (neg.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2)))
(-.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (-.f64 (/.f64 (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))))
(-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (.f64 angle (/.f64 (PI.f64) 360)))))
(-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (+.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (.f64 angle (/.f64 (PI.f64) 360)))) 0))
(.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 1)
(.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 0))
(.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (*.f64 (cos.f64 0) (cos.f64 0)))
(.f64 2 (.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)))
(.f64 1 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))))
(.f64 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) 1/2)
(.f64 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) (/.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2))
(.f64 1/2 (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2))
(.f64 (/.f64 (cos.f64 0) 2) (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))))
(.f64 (neg.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 4) 1/4)
(.f64 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 4) (/.f64 (cos.f64 0) 4))
(.f64 (/.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (*.f64 (cos.f64 0) 2))
(.f64 (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))) 1/2)
(.f64 (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))) (/.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))))
(.f64 1/4 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 4))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 4))
(.f64 (.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)) 2)
(/.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 1)
(/.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 4) 4)
(/.f64 (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) 2)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 4)) 8)
(/.f64 (+.f64 (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))) (.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 3)) 4)
(/.f64 (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (+.f64 (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))) (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))))) 4)
(/.f64 (+.f64 (-.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2)) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))))) (-.f64 (cos.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))))) 2)
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(/.f64 (+.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) (sin.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180)))))) 2)
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(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (*.f64 angle (/.f64 (PI.f64) 180)))))
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(-.f64 (*.f64 angle (/.f64 (PI.f64) 180)) 0)
(-.f64 0 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (neg.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (neg.f64 (.f64 (PI.f64) 1/2)) (-.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 angle (/.f64 (PI.f64) 360)) (/.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (/.f64 (PI.f64) 4)))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (neg.f64 (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (/.f64 (PI.f64) 180))) (.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/90) -1)) 4) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 4) (*.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)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (-.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (neg.f64 (/.f64 (PI.f64) 4)))
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(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 (.f64 (PI.f64) 1/2)))) (-.f64 (neg.f64 (.f64 angle (/.f64 (PI.f64) 180))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (*.f64 angle (/.f64 (PI.f64) 180)))) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 angle (/.f64 (PI.f64) 180))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (-.f64 (-.f64 0 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/360) 1/2))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 4)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 4) (/.f64 (PI.f64) 4)))
(/.f64 (*.f64 angle (/.f64 (PI.f64) 180)) 1)
(/.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))) -1)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 (.f64 angle 1/180) (*.f64 (PI.f64) 4)) 4)
(/.f64 (.f64 (PI.f64) (.f64 (*.f64 angle 1/90) 4)) 8)
(/.f64 (.f64 (.f64 2 (.f64 angle 1/90)) (.f64 (PI.f64) 4)) 16)
(/.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)
(pow.f64 (*.f64 angle (/.f64 (PI.f64) 180)) 1)
(neg.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 0)
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(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) 2) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2)))
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 0)
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(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2) 1)
(.f64 1 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2))
(.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2))
(.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2)) 1/2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2)))
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(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)) (/.f64 (pow.f64 a 2) 2))
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (+.f64 a a)) 2))
(.f64 (/.f64 (pow.f64 a 2) 2) (.f64 2 (pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (*.f64 2 (pow.f64 a 2)))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (/.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (pow.f64 (/.f64 a 2) 2))
(.f64 (pow.f64 (/.f64 a 2) 2) (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) 2))
(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (pow.f64 (+.f64 a a) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (+.f64 a a)) 2) 1/4)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4)) 8)

Outputs
1
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(+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)))
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(+.f64 1 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))))
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(+.f64 (+.f64 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 1 (.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6))))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
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(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
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(*.f64 (PI.f64) (/.f64 angle 180))
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(*.f64 (PI.f64) (/.f64 angle 180))
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(-.f64 (-.f64 (.f64 angle (/.f64 (PI.f64) 360)) (/.f64 (PI.f64) -4)) (-.f64 (/.f64 (PI.f64) -4) (.f64 (PI.f64) (-.f64 (*.f64 angle 1/360) 1/2))))
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(/.f64 (-.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) (-.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) (PI.f64))) 4)
(/.f64 (*.f64 angle (/.f64 (PI.f64) 180)) 1)
(*.f64 angle (/.f64 (PI.f64) 180))
(*.f64 (PI.f64) (/.f64 angle 180))
(/.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))) -1)
(*.f64 angle (/.f64 (PI.f64) 180))
(*.f64 (PI.f64) (/.f64 angle 180))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(/.f64 (.f64 (.f64 angle 1/180) (*.f64 (PI.f64) 4)) 4)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(/.f64 (.f64 (PI.f64) (.f64 (*.f64 angle 1/90) 4)) 8)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(/.f64 (.f64 (.f64 2 (.f64 angle 1/90)) (.f64 (PI.f64) 4)) 16)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 2)
(+.f64 (/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 4) (/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 4))
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) 2) (-.f64 1 (.f64 angle 1/90)))) 4)
(/.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 (-.f64 1 (.f64 angle 1/90)) (.f64 2 (PI.f64)))) 4)
(/.f64 (-.f64 (.f64 2 (PI.f64)) (.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)
(pow.f64 (*.f64 angle (/.f64 (PI.f64) 180)) 1)
(*.f64 angle (/.f64 (PI.f64) 180))
(*.f64 (PI.f64) (/.f64 angle 180))
(neg.f64 (neg.f64 (*.f64 angle (/.f64 (PI.f64) 180))))
(*.f64 angle (/.f64 (PI.f64) 180))
(*.f64 (PI.f64) (/.f64 angle 180))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) 2) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 0)
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(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2)) 2))
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(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 1 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2)) 1/2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)) (/.f64 (pow.f64 a 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4) 1/4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 1/4 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (+.f64 a a)) 2))
(.f64 1/4 (pow.f64 (.f64 2 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))))) 2))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (+.f64 a a)) 2))
(.f64 (/.f64 (pow.f64 a 2) 2) (.f64 2 (pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (*.f64 2 (pow.f64 a 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (/.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (pow.f64 (/.f64 a 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (/.f64 a 2) 2) (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) 2) (pow.f64 (+.f64 a a) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (+.f64 a a)) 2) 1/4)
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (+.f64 a a)) 2))
(.f64 1/4 (pow.f64 (.f64 2 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))))) 2))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (+.f64 a a)) 2))
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2)) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) a) 2) 4)) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)

eval2.1s (3.2%)

Compiler: Compiled 30078 to 22422 computations (25.5% saved)

prune1.1s (1.6%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	810	27	837
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	812	27	839

Error

17.9b

Counts

839 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	25.7b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	27.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 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 angle (/.f64 (PI.f64) 180))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	37.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	29.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (/.f64 (PI.f64) 180))))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	29.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (+.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) -4))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (*.f64 angle (/.f64 (PI.f64) 360)))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2))
▶	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
▶	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
▶	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b 1) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.8b	(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) (.f64 (pow.f64 angle 2) 1/32400)) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
▶	26.5b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	26.5b	(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.8b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))

Compiler

Compiled 1682 to 1334 computations (20.7% saved)

localize99.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
	0.3b	(*.f64 (/.f64 angle 180) (PI.f64))
	24.0b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite161.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational_best-simplify-55`
796×	`rational_best-4`
796×	`rational_best-2`
796×	`rational_best-3`
796×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	84	25
2	194	25
3	555	25
4	2008	25

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify509.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best-simplify-1`
1002×	`rational_best-simplify-85`
648×	`rational_best-simplify-3`
636×	`rational_best-simplify-108`
626×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1237
1	215	1237
2	502	1201
3	1183	1201
4	4222	1201
5	7666	1201

Stop Event

1×	node limit

Counts

41 → 38

Calls

Call 1

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

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

localize94.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 angle (/.f64 (PI.f64) 180))
	0.2b	(.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))))
	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)
	23.9b	(sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite252.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational_best-2`
1750×	`rational_best-3`
1750×	`rational_best-1`
1746×	`rational_best-4`
440×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	57	15
2	128	15
3	343	15
4	1145	15
5	5313	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (PI.f64) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (PI.f64) 1/360)) (*.f64 angle (*.f64 (PI.f64) 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 4) (+.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 4) (*.f64 angle (*.f64 (PI.f64) 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 4) (/.f64 (*.f64 (*.f64 angle 1/360) (*.f64 (PI.f64) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 4) (/.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 3/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (PI.f64) 1/360)) (neg.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 4) (*.f64 angle (*.f64 (PI.f64) 1/360))) (-.f64 0 (/.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 angle 1/360) (*.f64 (PI.f64) 3)) 2) (/.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 3/2)) 4) (/.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) 4) 1/180)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 4)) (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 4))) (*.f64 2 (*.f64 angle (*.f64 (*.f64 (PI.f64) 1/90) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle 4)) (*.f64 (*.f64 (PI.f64) 1/90) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/90) 4) (*.f64 2 (*.f64 angle 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 angle 4) 180) (*.f64 (PI.f64) 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 pow.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)) 1)))))

simplify124.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best-simplify-63`
1014×	`rational_best-simplify-48`
790×	`rational_best-simplify-52`
748×	`rational_best-simplify-1`
742×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	525
1	206	525
2	572	525
3	1870	525

Stop Event

1×	node limit

Counts

35 → 25

Calls

Call 1

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

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

localize104.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (/.f64 angle 180) (PI.f64))
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
	24.0b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	24.5b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 95 to 64 computations (32.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite305.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`rational_best-1`
1954×	`rational_best-2`
1954×	`rational_best-3`
1942×	`rational_best-4`
582×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	66	34
2	131	34
3	360	34
4	1235	34
5	5431	34

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (+.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 0) (sin.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (sin.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)) (-.f64 0 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 2) 2) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4) (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) -2)) (cos.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) -2))) (*.f64 (sin.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 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2) (*.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (/.f64 (cos.f64 0) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/180) 1/2))) (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 (*.f64 angle 1/180) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (PI.f64))) (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (PI.f64))) (cos.f64 (+.f64 -1 (-.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (*.f64 (cos.f64 0) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 0) 2) (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.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 (PI.f64) (*.f64 (*.f64 angle 1/180) 1/2)) (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/180) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 4) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 4) (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/180) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 4) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/60)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 4) (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/60)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/180) 1/2)) (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 4) (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/180) 1/2))) (-.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/60)) 2) 2) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/60)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 angle 1/45)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/45))) (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 angle 1/45)) (*.f64 (*.f64 (PI.f64) 4) (*.f64 angle 1/45))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle 1/45)) (*.f64 2 (*.f64 (PI.f64) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (PI.f64) 4)) (*.f64 2 (*.f64 angle 1/45))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))))

simplify339.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

658×	`rational_best-simplify-55`
532×	`rational_best-simplify-1`
514×	`rational_best-simplify-49`
496×	`rational_best-simplify-63`
460×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	1963
1	533	1951
2	1536	1919
3	7286	1915

Stop Event

1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 1/2)))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3) 2) 2))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3) 4))
(+.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1)
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (sin.f64 0)))
(-.f64 0 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -2))
(-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
(-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 0))
(-.f64 (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2)) (-.f64 0 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 2) 2) (/.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) -2) 2))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 4) (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 4))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) -2)) (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) -2))) (.f64 (sin.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 (PI.f64) (*.f64 angle 1/180))) 1)
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (cos.f64 0))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)
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Outputs
1
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2))) (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 (*.f64 angle 1/180) 1/2)))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (PI.f64))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2)))) 2)
(/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2)))) 2)
(-.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 2))) 2))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 2))) 2))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (PI.f64))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 (PI.f64) (*.f64 angle 1/180))))))) 2)
(/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 (PI.f64) (*.f64 angle 1/180))))))) 2)
(-.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 angle (.f64 1/180 (PI.f64))))))) 2))
(/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (neg.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) 2)
(/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) (.f64 (cos.f64 0) 2)) 16)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))) 16)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2)) (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (.f64 (PI.f64) (.f64 (*.f64 angle 1/180) 1/2))))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 2) 2))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 4))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2)) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) -2))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2))) (-.f64 0 (/.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 4)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 2) 2) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) -2) 2))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/60)) 4) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 1/45))) 8)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 1/45)) 16)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 1/45))) (.f64 (PI.f64) (.f64 2 (.f64 angle 1/45)))) 16)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4) (.f64 angle 1/45)) (.f64 (.f64 (PI.f64) 4) (.f64 angle 1/45))) 32)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 angle 1/45)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 1/45))) 64)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 1/180 (PI.f64)))

localize116.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)
✓	8.4b	(.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2))
	23.9b	(sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))
	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 101 to 70 computations (30.7% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite217.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`rational_best-simplify-63`
926×	`rational_best-4`
926×	`rational_best-2`
926×	`rational_best-3`
926×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	105	56
2	231	56
3	633	56
4	2319	56

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify245.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational_best-simplify-48`
1028×	`rational_best-simplify-52`
966×	`rational_best-simplify-64`
918×	`rational_best-simplify-63`
878×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	2521
1	334	2479
2	804	2443
3	2342	2431

Stop Event

1×	node limit

Counts

73 → 76

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8))))))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) 2) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 2)))
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2))
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 4)) 8)
(/.f64 (.f64 4 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) (.f64 2 (*.f64 (pow.f64 a 2) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) 4)) (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))) 64)
(/.f64 (.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (.f64 2 (.f64 (pow.f64 a 2) 4))) 16)
(/.f64 (.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4))) 16)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 0)
(+.f64 0 (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 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 2) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 2) (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2)))
(-.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 0)
(-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 1)
(.f64 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) (pow.f64 (cos.f64 0) 2))
(.f64 1 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) 1/2)
(.f64 1/2 (.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) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4))
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 1/4)
(.f64 (pow.f64 (cos.f64 0) 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) 1)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) 8)

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(.f64 (pow.f64 (.f64 a (PI.f64)) 2) (*.f64 (pow.f64 angle 2) 1/32400))
(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(.f64 1/32400 (pow.f64 (.f64 (*.f64 angle a) (PI.f64)) 2))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 angle 4) -1/3149280000)))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 angle 4) -1/3149280000))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (*.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 (.f64 angle (PI.f64)) 6) (*.f64 1/765275040000000 (pow.f64 a 2)))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 a 2) (.f64 1/765275040000000 (pow.f64 (*.f64 angle (PI.f64)) 6)))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8))))))))
(+.f64 (.f64 (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 angle 4) -1/3149280000)) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (+.f64 (.f64 (pow.f64 (.f64 a (PI.f64)) 2) (.f64 (pow.f64 angle 2) 1/32400)) (.f64 (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000) (.f64 (pow.f64 a 2) (pow.f64 angle 8))))))
(+.f64 (.f64 -1/3149280000 (.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))))))
(+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (.f64 (pow.f64 a 2) (.f64 -1/347128758144000000000 (pow.f64 (.f64 angle (PI.f64)) 8)))) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 (.f64 angle (PI.f64)) 6) (.f64 1/765275040000000 (pow.f64 a 2)))))
(+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 (pow.f64 a 2) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/765275040000000 (pow.f64 (.f64 angle (PI.f64)) 6)) (.f64 -1/347128758144000000000 (pow.f64 (*.f64 angle (PI.f64)) 8)))))
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 1/765275040000000 (pow.f64 (.f64 angle (PI.f64)) 6)))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 1/765275040000000 (pow.f64 (.f64 angle (PI.f64)) 6))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8)))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (+.f64 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))))
(+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)) (+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4))) (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))))
(+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 -1/347128758144000000000 (pow.f64 (.f64 angle (PI.f64)) 8))) (.f64 1/765275040000000 (pow.f64 (.f64 angle (PI.f64)) 6))))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 (.f64 -1/3149280000 (pow.f64 (.f64 angle (PI.f64)) 4)) (+.f64 (.f64 1/765275040000000 (pow.f64 (.f64 angle (PI.f64)) 6)) (.f64 -1/347128758144000000000 (pow.f64 (.f64 angle (PI.f64)) 8)))))
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) 2) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 2)))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 4) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 4)) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 4 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 4)) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) (.f64 2 (*.f64 (pow.f64 a 2) 4))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) 4)) (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))) 64)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (.f64 2 (.f64 (pow.f64 a 2) 4))) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(/.f64 (.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4))) 16)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 0)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(+.f64 0 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 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 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 2) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 2) (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 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) 0)
(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 (neg.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) 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) 1)
(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 (cos.f64 0) 2))
(pow.f64 (.f64 (cos.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0)) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) 1/2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 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) 4) 1/4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 1/4 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 2) 1/4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(pow.f64 (.f64 (cos.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0)) 2)
(/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2)) 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) 4) 4)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) 8)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)

localize286.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	24.0b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	56.3b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))

Compiler

Compiled 181 to 131 computations (27.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite284.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	111	65
2	239	65
3	662	53
4	2455	53

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

simplify387.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

760×	`rational_best-simplify-50`
748×	`rational_best-simplify-47`
716×	`rational_best-simplify-52`
700×	`rational_best-simplify-48`
650×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	5197
1	779	4853
2	1973	4593

Stop Event

1×	node limit

Counts

179 → 163

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))))))
(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 angle 1/180))) 0)
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(+.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)))
(+.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)))))
(+.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))
(-.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 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (+.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) 0))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(.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 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 2 (.f64 (cos.f64 0) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))
(.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 (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 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 1/4)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (cos.f64 0) 4))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(.f64 1/4 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))
(.f64 (.f64 (cos.f64 0) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (.f64 (cos.f64 0) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) 2)
(.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 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
(/.f64 (.f64 (cos.f64 0) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 4)
(/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))) (PI.f64))))) 2)
(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 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 0)
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(+.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)))
(+.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)))))
(+.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))
(-.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 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (+.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) 0))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(.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 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 2 (.f64 (cos.f64 0) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))
(.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 (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 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) 1/4)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (/.f64 (cos.f64 0) 4))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(.f64 1/4 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4))
(.f64 (.f64 (cos.f64 0) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (.f64 (cos.f64 0) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) 2)
(.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 (.f64 (PI.f64) (.f64 angle 1/180))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 8)
(/.f64 (.f64 (cos.f64 0) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4)) 4)
(/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))) (PI.f64))))) 2)
(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)))))
(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 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (*.f64 (PI.f64) 1/2))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (+.f64 (neg.f64 (.f64 (PI.f64) 1/2)) (.f64 (PI.f64) 1/2)))
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))
(+.f64 (neg.f64 (.f64 (PI.f64) 1/2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/90))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (+.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)) (*.f64 (PI.f64) 1/2)))
(+.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8) (+.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8) (*.f64 (PI.f64) 1/2)))
(+.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2) (.f64 (PI.f64) (.f64 angle 1/360))))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)) (+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (*.f64 (PI.f64) 1/2)))
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(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/90))) (neg.f64 (.f64 (PI.f64) 1/2)))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/90))) (neg.f64 (neg.f64 (neg.f64 (.f64 (PI.f64) 1/2)))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/180)))))
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(+.f64 (-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (neg.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))
(-.f64 (neg.f64 (.f64 (PI.f64) 1/2)) (-.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (neg.f64 (PI.f64)) 4) (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (/.f64 (PI.f64) 4)))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 angle 1/45) 1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (neg.f64 (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 angle 1/180))) (*.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 angle 1/180) 1/2)))) (neg.f64 (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (-.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 4)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90))) 4) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 (.f64 (PI.f64) 1/2)))) (-.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) (/.f64 (PI.f64) 4)))
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(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (-.f64 (-.f64 0 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2))) (/.f64 (PI.f64) 4)))
(/.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 angle 1/45)) 4)
(/.f64 (.f64 (.f64 angle 1/90) (*.f64 (PI.f64) 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 angle 1/180) 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 angle 1/180) 1/2) 4) (.f64 (PI.f64) 4))) 16)
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 2)
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(pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))

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

eval5.1s (7.6%)

Compiler: Compiled 55790 to 42304 computations (24.2% saved)

prune3.3s (5%)

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	1518	41	1559
Fresh	17	5	22
Picked	1	0	1
Done	1	3	4
Total	1537	49	1586

Error

17.7b

Counts

1586 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	25.7b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	25.6b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a) 2) (pow.f64 (.f64 b 1) 2))
	27.6b	(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 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 angle (/.f64 (PI.f64) 180))))) 2)) 2) (pow.f64 (.f64 b 1) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (*.f64 b 1) 2))
	38.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (/.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) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (*.f64 b 1) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.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) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2)) 2) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	18.5b	(+.f64 (pow.f64 (.f64 a (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (+.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 angle 1/180))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
▶	18.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (.f64 b 1) 2))
	28.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (/.f64 (PI.f64) 180))))))) 2) (pow.f64 (.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 4) (/.f64 (.f64 angle (.f64 (.f64 (PI.f64) 1/90) 3/2)) 4)))) 2) (pow.f64 (*.f64 b 1) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (*.f64 angle (/.f64 (PI.f64) 360)))))) 2))
	19.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2))) 2))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 1)) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2))) (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 (.f64 angle 1/180) 1/2)))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/60)) 4)))) 2))
✓	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 1/180 (.f64 (PI.f64) (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
▶	37.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (.f64 (pow.f64 (+.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 angle 1/180) 1/2)))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	26.5b	(+.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.7b	(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) (.f64 (pow.f64 angle 2) 1/32400)) (pow.f64 (.f64 b 1) 2))
▶	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2)) (pow.f64 (*.f64 b 1) 2))
▶	37.3b	(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	26.2b	(+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 (.f64 b 1) 2))
	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
▶	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)) (pow.f64 (.f64 b 1) 2))
	32.7b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 3000 to 2429 computations (19% saved)

localize250.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 360))
✓	24.4b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 360)))
✓	24.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 360)))

Compiler

Compiled 146 to 106 computations (27.4% saved)

series55.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	a	@	0	(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)
18.0ms	angle	@	-inf	(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)
7.0ms	angle	@	0	(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)
2.0ms	angle	@	inf	(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)
1.0ms	a	@	inf	(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)

rewrite390.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`rational_best-2`
1610×	`rational_best-1`
1606×	`rational_best-4`
1606×	`rational_best-3`
1606×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	118
1	138	114
2	324	114
3	1037	100
4	4128	100

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 360)))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 360)))
(*.f64 (PI.f64) (/.f64 angle 360))
(pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 360))))))) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))) (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 0)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (-.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))) 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(sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 2) 2) (pow.f64 (/.f64 a 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) (+.f64 a a)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0))) 2)))) 8)))))

simplify1.1s (1.6%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational_best-simplify-1`
1118×	`rational_best-simplify-55`
932×	`rational_best-simplify-47`
650×	`rational_best-simplify-57`
648×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	7048
1	891	6604
2	2519	6438

Stop Event

1×	node limit

Counts

192 → 222

Calls

Call 1

Inputs
(.f64 1/360 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/279936000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/360 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/279936000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (.f64 1/725594112000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/3949553870438400000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/279936000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (.f64 1/725594112000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
1
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/403107840000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/1567283281920000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (.f64 1/403107840000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/45 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 -1/279936000 (pow.f64 (PI.f64) 3)) (.f64 -1/93312000 (pow.f64 (PI.f64) 3))) (PI.f64))))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/45 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 -1/279936000 (pow.f64 (PI.f64) 3)) (.f64 -1/93312000 (pow.f64 (PI.f64) 3))) (PI.f64))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (+.f64 (.f64 1/45 (.f64 (+.f64 (.f64 1/725594112000000 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/72559411200000 (pow.f64 (PI.f64) 5)) (.f64 1/145118822400000 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/279936000 (pow.f64 (PI.f64) 3)) (.f64 -1/93312000 (pow.f64 (PI.f64) 3))) 2)))) (pow.f64 angle 6))))
(+.f64 (.f64 (pow.f64 angle 8) (+.f64 (.f64 8 (.f64 (+.f64 (.f64 1/725594112000000 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/72559411200000 (pow.f64 (PI.f64) 5)) (.f64 1/145118822400000 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/279936000 (pow.f64 (PI.f64) 3)) (.f64 -1/93312000 (pow.f64 (PI.f64) 3)))))) (.f64 1/45 (.f64 (+.f64 (.f64 -1/564221981491200000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/3949553870438400000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/112844396298240000000 (pow.f64 (PI.f64) 7)) (.f64 -1/188073993830400000000 (pow.f64 (PI.f64) 7))))) (.f64 (pow.f64 a 2) (PI.f64)))))) (+.f64 (.f64 1/45 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 -1/279936000 (pow.f64 (PI.f64) 3)) (.f64 -1/93312000 (pow.f64 (PI.f64) 3))) (PI.f64))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (.f64 (+.f64 (.f64 1/45 (.f64 (+.f64 (.f64 1/725594112000000 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/72559411200000 (pow.f64 (PI.f64) 5)) (.f64 1/145118822400000 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 a 2) (PI.f64)))) (.f64 4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/279936000 (pow.f64 (PI.f64) 3)) (.f64 -1/93312000 (pow.f64 (PI.f64) 3))) 2)))) (pow.f64 angle 6)))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(.f64 4 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) 2) (pow.f64 (cos.f64 (.f64 1/360 (*.f64 angle (PI.f64)))) 2))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 0)
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) (sin.f64 0)))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))))
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2)))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720)))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 0)
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) (sin.f64 0))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (-.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) (sin.f64 0))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360)))))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) 2))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2)) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2)))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 0)))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (.f64 angle 1/360)))))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) 1/2)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) 1/2)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (/.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))
(.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2) (cos.f64 0)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2)) 1/4)
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2)) (/.f64 (cos.f64 0) 4))
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Outputs
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(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
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1
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(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 2) (pow.f64 a 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 2) (pow.f64 (neg.f64 a) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 2) (pow.f64 (/.f64 (*.f64 a -2) 2) 2))
(pow.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64)))))) (/.f64 (*.f64 a -2) 2)) 2)
(pow.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (/.f64 (.f64 a -2) 2)) 2)
(pow.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (/.f64 (.f64 a -2) 2)) 2)
(.f64 4 (pow.f64 (.f64 a (.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) -1/2)) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 4 (pow.f64 (.f64 a (.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 1/2)) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2)) 1/2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 2) 1/4) (pow.f64 (.f64 a -2) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (.f64 a -2) 2) (.f64 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) 2) 1/4))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (.f64 a (.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0)) -1/2)) 2) 4)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2)))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0)) 2) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0)) 2)) (/.f64 (pow.f64 a 2) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0))) 2))) 1/4)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0)) 2) 2) (pow.f64 (/.f64 a 2) 2))
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(.f64 (pow.f64 (.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0)) (+.f64 a a)) 2) 1/4)
(.f64 1/4 (pow.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (*.f64 angle (PI.f64)))))) (+.f64 a a)) 2))
(.f64 1/4 (pow.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (+.f64 a a)) 2))
(.f64 1/4 (pow.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 a a)) 2))
(/.f64 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2) 1)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 2)) (sin.f64 0))) 2)) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2))) 4)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 2)) (sin.f64 0))) 2)))) 8)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 2 (.f64 1/360 (.f64 angle (PI.f64))))))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))) 2)
(pow.f64 (.f64 a (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))) 2)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) a)) 2))
✓	0.2b	(.f64 angle (.f64 (PI.f64) a))
✓	0.3b	(pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)
✓	0.3b	(*.f64 (PI.f64) a)

Compiler

Compiled 57 to 30 computations (47.4% saved)

series58.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
19.0ms	angle	@	0	(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) a)) 2))
12.0ms	a	@	0	(pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)
2.0ms	a	@	0	(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) a)) 2))
1.0ms	angle	@	0	(pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)
1.0ms	a	@	inf	(.f64 1/32400 (pow.f64 (.f64 angle (*.f64 (PI.f64) a)) 2))

rewrite436.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational_best-2`
1936×	`rational_best-3`
1936×	`rational_best-1`
1910×	`rational_best-4`
794×	`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	5706	72

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify533.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

892×	`rational_best-simplify-50`
812×	`rational_best-simplify-55`
636×	`rational_best-simplify-49`
598×	`rational_best-simplify-64`
574×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	345	4881
1	918	4651
2	2713	4651
3	7633	4651

Stop Event

1×	node limit

Counts

221 → 167

Calls

Call 1

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

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

localize118.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 angle (/.f64 (PI.f64) 180))
	0.3b	(pow.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) 2)
	8.4b	(.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2))
	23.9b	(sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))

Compiler

Compiled 73 to 53 computations (27.4% saved)

localize383.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)
✓	1.8b	(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2))
	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	56.3b	(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))

Compiler

Compiled 130 to 96 computations (26.2% saved)

series26.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	angle	@	-inf	(pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)
2.0ms	a	@	0	(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2))
2.0ms	angle	@	0	(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2))
1.0ms	angle	@	inf	(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2))
1.0ms	angle	@	-inf	(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2))

rewrite307.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`rational_best-simplify-63`
748×	`rational_best-4`
748×	`rational_best-2`
748×	`rational_best-3`
748×	`rational_best-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	119	105
2	218	105
3	555	105
4	1941	93

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify471.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best-simplify-55`
914×	`rational_best-simplify-1`
754×	`rational_best-simplify-49`
658×	`rational_best-simplify-47`
602×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	6536
1	812	6420
2	2116	6388

Stop Event

1×	node limit

Counts

152 → 179

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 1/180 (.f64 angle (.f64 (sin.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (PI.f64)))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (PI.f64)))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3)))) (+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (PI.f64)))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 2)))))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2))
(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2)) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 a 2) (PI.f64)))))))
(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (.f64 (pow.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/32400 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2)))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 a 2) (PI.f64))))))))
(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (.f64 (pow.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/32400 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 (+.f64 (.f64 -1/17496000 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3)))) (.f64 -1/5832000 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 angle 3) (pow.f64 a 2))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 a 2) (PI.f64)))))))))
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
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(.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) (pow.f64 (cos.f64 0) 2))
(.f64 1 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2))
(.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2)) 1/2)
(.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2)) (/.f64 (pow.f64 (cos.f64 0) 2) 2))
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 1/2) 2)
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4) 1/4)
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4) (/.f64 (pow.f64 (cos.f64 0) 2) 4))
(.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4))
(.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2))
(.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 4)) 1/8)
(.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 4)) (/.f64 (pow.f64 (cos.f64 0) 2) 8))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2) 1/4)
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2) (pow.f64 (/.f64 (cos.f64 0) 2) 2))
(.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2))
(.f64 (pow.f64 (/.f64 (cos.f64 0) 2) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2))
(/.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 1)
(/.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2)) 2)
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4)) 8)

Outputs
(cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))
(cos.f64 (/.f64 (neg.f64 (PI.f64)) -2))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 1/180 (.f64 angle (.f64 (sin.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (PI.f64)))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 1/180 (.f64 angle (.f64 (PI.f64) (sin.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 1/180 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (PI.f64) angle))))
(+.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (.f64 1/180 (.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (*.f64 (PI.f64) angle))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (PI.f64)))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 2))))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64))))))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 2))))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) angle))) (.f64 -1/64800 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2))))))
(+.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (+.f64 (.f64 1/180 (.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (.f64 (PI.f64) angle))) (.f64 -1/64800 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3)))) (+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 angle (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (PI.f64)))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 2)))))))
(+.f64 (+.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64))))))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (sin.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3))))))
(+.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (+.f64 (+.f64 (.f64 1/180 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) angle))) (.f64 -1/64800 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2))))) (.f64 -1/34992000 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 angle 3))))))
(+.f64 (.f64 1/180 (.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (.f64 (PI.f64) angle))) (+.f64 (.f64 -1/64800 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))) (+.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (.f64 -1/34992000 (.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))
(cos.f64 (neg.f64 (.f64 (-.f64 (.f64 1/180 angle) 1/2) (PI.f64))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (*.f64 angle -1/180))))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 angle -1/180))))))
(cos.f64 (/.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))) 1))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (*.f64 angle -1/180))))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 angle -1/180))))))
(cos.f64 (/.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))) 1))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (*.f64 angle -1/180))))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 angle -1/180))))))
(cos.f64 (/.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))) 1))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/180 angle)) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (*.f64 angle -1/180))))))
(cos.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 angle -1/180))))))
(cos.f64 (/.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))) 1))
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2))
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2)
(pow.f64 (*.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) a) 2)
(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2)) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 a 2) (PI.f64)))))))
(+.f64 (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (PI.f64) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2) (.f64 1/90 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) angle))))
(+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) a) 2) (.f64 (.f64 (.f64 (PI.f64) (pow.f64 a 2)) (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)))) (.f64 angle 1/90)))
(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (.f64 (pow.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/32400 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2)))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 a 2) (PI.f64))))))))
(+.f64 (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2) (+.f64 (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) (pow.f64 a 2)))))) (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2)) (.f64 -1/32400 (pow.f64 (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) (PI.f64)) 2)))))))
(+.f64 (.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2)) (.f64 -1/32400 (pow.f64 (.f64 (PI.f64) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2))) (pow.f64 (.f64 a angle) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2) (.f64 1/90 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) angle)))))
(+.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) a) 2) (.f64 (.f64 (.f64 (PI.f64) (pow.f64 a 2)) (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)))) (.f64 angle 1/90))) (.f64 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/32400 (pow.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) -2)) 2)) (.f64 (pow.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) 2) -1/32400))) (pow.f64 (*.f64 angle a) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (.f64 (pow.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/32400 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 (+.f64 (.f64 -1/17496000 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3)))) (.f64 -1/5832000 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 angle 3) (pow.f64 a 2))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (*.f64 (pow.f64 a 2) (PI.f64)))))))))
(+.f64 (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2) (+.f64 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2)) (.f64 -1/32400 (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (PI.f64)) 2))))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) (pow.f64 a 2)))))) (.f64 (.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3))) -1/4374000) (.f64 (pow.f64 angle 3) (pow.f64 a 2))))))
(+.f64 (.f64 (+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2)) (.f64 -1/32400 (pow.f64 (.f64 (PI.f64) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2))) (pow.f64 (.f64 a angle) 2)) (+.f64 (+.f64 (.f64 1/90 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (PI.f64) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) angle))) (.f64 (pow.f64 angle 3) (.f64 (.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (.f64 (sin.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (pow.f64 (PI.f64) 3))) -1/4374000) (pow.f64 a 2)))) (pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) a) 2)))
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(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) a) 2)
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))) 2)
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) a) 2)
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))) 2)
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) a) 2)
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))) 2)
(.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (-.f64 (*.f64 1/180 angle) 1/2) (PI.f64)))) 2) (pow.f64 a 2))
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))) a) 2)
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64))))) 2))
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))))))) 2)
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (*.f64 angle -1/180)))))) a) 2)
(pow.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (+.f64 1/2 (*.f64 angle -1/180))) 1)) a) 2)
(.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64))))) 2))
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))))))) 2)
(pow.f64 (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (*.f64 angle -1/180)))))) a) 2)
(pow.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (+.f64 1/2 (*.f64 angle -1/180))) 1)) a) 2)
(.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (neg.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/180 angle)) (PI.f64))))) 2))
(pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 1/2 (.f64 angle -1/180))))))) 2)
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(.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 1/2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 1)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) (pow.f64 (cos.f64 0) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 1 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2)) 1/2)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2)) (/.f64 (pow.f64 (cos.f64 0) 2) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 1/2) 2)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4) 1/4)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4) (/.f64 (pow.f64 (cos.f64 0) 2) 4))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 1/4 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 4)) 1/8)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 4)) (/.f64 (pow.f64 (cos.f64 0) 2) 8))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2) 1/4)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2) (pow.f64 (/.f64 (cos.f64 0) 2) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(.f64 (pow.f64 (/.f64 (cos.f64 0) 2) 2) (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 2))
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(/.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 1)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(/.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2)) 2)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (*.f64 angle 1/180)))) 2) 4) 4)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))) 2) 4)) 8)
(pow.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) 2)

localize381.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.9b	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2))
✓	23.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
	56.3b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))

Compiler

Compiled 191 to 140 computations (26.7% saved)

series82.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	a	@	-inf	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2))
27.0ms	a	@	0	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2))
19.0ms	angle	@	0	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2))
2.0ms	angle	@	inf	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2))
2.0ms	angle	@	-inf	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2))

rewrite307.0ms (0.5%)

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	22	86
1	154	86
2	328	86
3	965	50
4	4510	50

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs

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

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

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

simplify563.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational_best-simplify-75`
972×	`rational_best-simplify-56`
832×	`rational_best-simplify-3`
714×	`rational_best-simplify-1`
512×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	256	4390
1	620	4184
2	1529	4152
3	4871	4148

Stop Event

1×	node limit

Counts

108 → 130

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 a 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 1/4 (.f64 (pow.f64 a 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (.f64 1/4 (.f64 (pow.f64 angle 2) (.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))))) (pow.f64 a 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/32400 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 2)))) (.f64 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)))) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (.f64 1/4 (.f64 (pow.f64 angle 2) (.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))))) (pow.f64 a 2)))))))
(.f64 1/4 (.f64 (pow.f64 a 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 a 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 a 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 a 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 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 (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 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2) 1/4)
(.f64 (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -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 1/4 (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(.f64 1/8 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.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 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -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 -2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -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 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -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))) a) 2) 0)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2))
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2))
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2)

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 (PI.f64) (.f64 1/180 angle)) (.f64 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (.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 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 -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 -1/34992000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/22674816000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 (PI.f64) (.f64 1/180 angle)) (.f64 -1/30855889612800000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(+.f64 (.f64 angle (.f64 1/180 (PI.f64))) (+.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)))))
(+.f64 (+.f64 (.f64 angle (.f64 1/180 (PI.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 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (cos.f64 (*.f64 (PI.f64) -1/2))) 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 a 2) angle)))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (*.f64 angle (pow.f64 a 2))) 1/2)))
(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 1/2 (.f64 angle (.f64 (pow.f64 a 2) (cos.f64 (*.f64 (PI.f64) -1/2)))))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 angle (cos.f64 (*.f64 (PI.f64) -1/2)))))))
(+.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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (.f64 1/4 (.f64 (pow.f64 angle 2) (.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))))) (pow.f64 a 2))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 a 2) angle)))) (+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 1/4 (.f64 (pow.f64 a 2) (.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (+.f64 (.f64 -1/64800 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 -1/64800 (pow.f64 (.f64 (PI.f64) (cos.f64 (*.f64 (PI.f64) -1/2))) 2)))) (pow.f64 angle 2))))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 angle (pow.f64 a 2))) 1/2)) (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2) -1/32400)) (*.f64 (pow.f64 a 2) (pow.f64 angle 2))))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 1/2 (.f64 angle (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) -1/2)))))) (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2) -1/32400)) (pow.f64 (*.f64 a angle) 2)))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 angle (cos.f64 (.f64 (PI.f64) -1/2)))))) (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2) -1/32400)) (pow.f64 (*.f64 a angle) 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/32400 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 2)))) (.f64 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)))) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (.f64 1/4 (.f64 (pow.f64 angle 2) (.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64)))) 2) (+.f64 (.f64 -1/64800 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))))) (pow.f64 a 2)))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 a 2) angle)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (+.f64 (.f64 -1/64800 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 -1/64800 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2)))) (pow.f64 angle 2)))) (+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 1/4 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/32400 (.f64 (-.f64 (.f64 1/180 (PI.f64)) (.f64 1/180 (.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (pow.f64 (PI.f64) 2)))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (-.f64 (.f64 -1/34992000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (sin.f64 (*.f64 (PI.f64) -1/2))))))))))))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 angle (pow.f64 a 2))) 1/2)) (+.f64 (.f64 1/4 (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2) -1/32400)) (.f64 (pow.f64 a 2) (pow.f64 angle 2)))) (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2) (.f64 (+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (pow.f64 (PI.f64) 2)) -1/32400)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (-.f64 -1/34992000 (.f64 -1/34992000 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) 2))) (*.f64 (pow.f64 angle 3) (pow.f64 a 2)))))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 1/2 (.f64 angle (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) -1/2)))))) (+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (.f64 1/4 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) 2) (.f64 (pow.f64 (.f64 (PI.f64) (cos.f64 (.f64 (PI.f64) -1/2))) 2) -1/32400)) (pow.f64 (.f64 a angle) 2)) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 a 2) (+.f64 (.f64 (.f64 (PI.f64) (-.f64 1/180 (.f64 1/180 (sin.f64 (.f64 (PI.f64) -1/2))))) (.f64 -1/32400 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (pow.f64 (PI.f64) 2)))) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 (PI.f64) 3) (-.f64 -1/34992000 (.f64 -1/34992000 (sin.f64 (*.f64 (PI.f64) -1/2))))))))))))))
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(.f64 1/4 (.f64 (pow.f64 a 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 a (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) 2))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 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 a (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) 2))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 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)))
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(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 0))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 1/2)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (/.f64 (cos.f64 0) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (cos.f64 0)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) 2)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2) (+.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2) 1/4)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2) (/.f64 (cos.f64 0) 4))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (neg.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -1)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4) 1/8)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (cos.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/4 (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/8 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)) 1/16)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 -2 (/.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) -2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 1/16 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4)))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1/2))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(.f64 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 1/2) (cos.f64 0)) 2)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 2)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (.f64 -2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -2) 4)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -1)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) 4) 8)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2) 4)) 16)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.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)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(/.f64 (.f64 (.f64 (.f64 -2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2) (cos.f64 0)) 4)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(neg.f64 (neg.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))
(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))))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(+.f64 0 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(-.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 0)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2))
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2))) 4)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) a) 2)))) 8)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) 2) 4) (*.f64 (pow.f64 a 2) 4)) 16)
(/.f64 (.f64 4 (.f64 (pow.f64 a 2) (.f64 4 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 2)))) 16)
(/.f64 (.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2) (*.f64 (pow.f64 a 2) 4))) 16)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2) 1)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) a) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) 2)
(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 2)

eval3.2s (4.9%)

Compiler: Compiled 45795 to 35455 computations (22.6% saved)

prune3.1s (4.6%)

Pruning

65 alts after pruning (60 fresh and 5 done)

	Pruned	Kept	Total
New	1210	31	1241
Fresh	12	29	41
Picked	1	0	1
Done	2	5	7
Total	1225	65	1290

Error

17.4b

Counts

1290 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	18.5b	(+.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/360 (PI.f64))))) (.f64 a -2)) 2) (pow.f64 (.f64 b 1) 2))
	25.7b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	25.6b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 (.f64 a -2) (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64)))))) 2) (pow.f64 (.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a) 2) (pow.f64 (.f64 b 1) 2))
	39.4b	(+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) a) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (*.f64 b 1) 2))
	38.2b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (/.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) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2)) 2) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 (PI.f64) (.f64 angle 1/180))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
▶	18.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (/.f64 (+.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/360 angle) 1/2)))) 2))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (-.f64 (.f64 (.f64 angle (PI.f64)) 1/180) (.f64 angle (.f64 1/360 (PI.f64))))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) 2) (pow.f64 (*.f64 b 1) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/360 angle)))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	19.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	28.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (/.f64 (PI.f64) 180))))))) 2) (pow.f64 (.f64 b 1) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (*.f64 angle (/.f64 (PI.f64) 360)))))) 2))
	19.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2))) 2))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 1)) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2))) (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 (.f64 angle 1/180) 1/2)))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/60)) 4)))) 2))
✓	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 1/180 (.f64 (PI.f64) (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
	37.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2))))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.4b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.4b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
▶	38.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	37.3b	(+.f64 (.f64 (pow.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)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.4b	(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) (/.f64 (+.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 2 (.f64 1/180 angle))) 2)) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.6b	(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) (cos.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 2 (.f64 1/180 angle))) (PI.f64)) 2))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (+.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 angle 1/180) 1/2)))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	26.4b	(+.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))) 2) (.f64 (pow.f64 a 2) 4)) (pow.f64 (.f64 b 1) 2))
	32.4b	(+.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 angle 4) 180) (.f64 (PI.f64) 4)) 16)) 2) (pow.f64 a 2)) (pow.f64 (*.f64 b 1) 2))
✓	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2)) (pow.f64 (*.f64 b 1) 2))
	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	39.4b	(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) -1/2))) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	39.4b	(+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b 1) 2))
✓	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)) (pow.f64 (.f64 b 1) 2))
▶	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b 1) 2))
	32.7b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 4095 to 3342 computations (18.4% saved)

localize253.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 360))
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/360))
✓	24.4b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
	24.5b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 360)))

Compiler

Compiled 175 to 130 computations (25.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
0.0ms	angle	@	inf	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
0.0ms	angle	@	-inf	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
0.0ms	angle	@	0	(.f64 (PI.f64) (.f64 angle 1/360))
0.0ms	angle	@	-inf	(.f64 (PI.f64) (.f64 angle 1/360))

rewrite389.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`rational_best-1`
1954×	`rational_best-2`
1954×	`rational_best-3`
1942×	`rational_best-4`
582×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	66	34
2	131	34
3	360	34
4	1235	34
5	5431	34

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (PI.f64) (.f64 angle 1/360))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.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))) 1/2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.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))) 4) (+.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (*.f64 (sin.f64 0) (sin.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (*.f64 (sin.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.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))) 2) (cos.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))) 1/2) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) 2) (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2)) (-.f64 0 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 3) 2) 2) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 3) 4) (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) -2)) (cos.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) -2))) (*.f64 (sin.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) -2)) (sin.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) (-.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2) (*.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (/.f64 (cos.f64 0) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2))) (cos.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2)))) (-.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2))) (sin.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (PI.f64))) (sin.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (PI.f64))) (cos.f64 (+.f64 -1 (-.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/360))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (*.f64 (cos.f64 0) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 0) 2) (*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 angle 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2)) (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 4) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 4) (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 4) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/120)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 4) (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/120)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2)) (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 4) (*.f64 (PI.f64) (*.f64 (*.f64 angle 1/360) 1/2))) (-.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/120)) 2) 2) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) (*.f64 angle 1/120)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 angle 1/90)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 angle 1/90))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 angle 1/90)) 16)))) (#(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)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 angle 1/90)) (*.f64 (*.f64 (PI.f64) 4) (*.f64 angle 1/90))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle 1/90)) (*.f64 2 (*.f64 (PI.f64) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (PI.f64) 4)) (*.f64 2 (*.f64 angle 1/90))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)) 1)))))

simplify462.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

658×	`rational_best-simplify-55`
534×	`rational_best-simplify-1`
514×	`rational_best-simplify-49`
500×	`rational_best-simplify-63`
472×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	1963
1	538	1951
2	1552	1919
3	7415	1915

Stop Event

1×	node limit

Counts

97 → 93

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/403107840000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/1567283281920000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (.f64 1/403107840000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 1/360 (.f64 angle (PI.f64)))
(+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 0)
(+.f64 0 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 1/2)))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 3) 2) 2))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 3) 4))
(+.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) 1)
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 0)
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (sin.f64 0) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))) (sin.f64 0)))
(-.f64 0 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) -2))
(-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) 2))
(-.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) 2) 0))
(-.f64 (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2)) (-.f64 0 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 3) 2) 2) (/.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) -2) 2))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 3) 4) (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))) 4))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2)) (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 1)
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) (cos.f64 0))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) 1/2)
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (/.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))
(.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) 1/4)
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (/.f64 (cos.f64 0) 4))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) 2)
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) (*.f64 (cos.f64 0) 2))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))
(.f64 (.f64 (cos.f64 0) 2) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 1/2))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)) 1/8)
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (/.f64 (cos.f64 0) 8))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))
(.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2))) (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 (*.f64 angle 1/360) 1/2)))))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))) 16)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (PI.f64))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 2)))) 2)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (PI.f64))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 (PI.f64) (*.f64 angle 1/360))))))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4)) (.f64 (cos.f64 0) 2)) 16)
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))) 16)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1)
(neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/360)))
(+.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)) (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (.f64 (PI.f64) (.f64 (*.f64 angle 1/360) 1/2))))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 2) 2))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 4))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 0)
(-.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) -2))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2))) (-.f64 0 (/.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 2) 2) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 4) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 1)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 1/90))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 1/90)) 16)
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 1/90))) (.f64 (PI.f64) (.f64 2 (.f64 angle 1/90)))) 16)
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4) (.f64 angle 1/90)) (.f64 (.f64 (PI.f64) 4) (.f64 angle 1/90))) 32)
(/.f64 (.f64 (.f64 2 (.f64 angle 1/90)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 1/90))) 64)
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 1)

Outputs
1
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 1 (.f64 -1/259200 (pow.f64 (.f64 angle (PI.f64)) 2)))
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/403107840000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 -1/259200 (pow.f64 (.f64 angle (PI.f64)) 2)) (+.f64 1 (.f64 1/403107840000 (pow.f64 (.f64 angle (PI.f64)) 4))))
(+.f64 1 (+.f64 (.f64 1/403107840000 (pow.f64 (.f64 angle (PI.f64)) 4)) (.f64 -1/259200 (pow.f64 (.f64 angle (PI.f64)) 2))))
(+.f64 1 (+.f64 (.f64 -1/259200 (pow.f64 (.f64 angle (PI.f64)) 2)) (.f64 1/403107840000 (pow.f64 (.f64 angle (PI.f64)) 4))))
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(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/360))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 3) 2) 2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
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(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(-.f64 (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2)) (-.f64 0 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 3) 2) 2) (/.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) -2) 2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 3) 4) (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))) 4))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2)) (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 1)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) (cos.f64 0))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 1 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) 1/2)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (/.f64 (cos.f64 0) 2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (cos.f64 0) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360)))) (-.f64 0 (cos.f64 0)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) 1/4)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4) (/.f64 (cos.f64 0) 4))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) 2)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) (*.f64 (cos.f64 0) 2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 1/4 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 (cos.f64 0) 2) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 1/2))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)) 1/8)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (/.f64 (cos.f64 0) 8))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2))) (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 (*.f64 angle 1/360) 1/2)))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 2) 2)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/360))) 4) 4)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4)) 8)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))) 16)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (PI.f64))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 2)))) 2)
(/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 2)))) 2)
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) 2))) 2))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 2) (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (PI.f64))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 (PI.f64) (*.f64 angle 1/360))))))) 2)
(/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 (PI.f64) (*.f64 angle 1/360))))))) 2)
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (cos.f64 (+.f64 -1 (-.f64 1 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2))
(/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (neg.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))) 2)
(/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4)) (.f64 (cos.f64 0) 2)) 16)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))) 16)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1)
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 0)
(.f64 (PI.f64) (.f64 angle 1/360))
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (PI.f64) (.f64 angle 1/360))
(+.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)) (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)))
(.f64 (PI.f64) (.f64 angle 1/360))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (.f64 (PI.f64) (.f64 (*.f64 angle 1/360) 1/2))))
(.f64 (PI.f64) (.f64 angle 1/360))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 2) 2))
(.f64 (PI.f64) (.f64 angle 1/360))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 4))
(.f64 (PI.f64) (.f64 angle 1/360))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 0)
(.f64 (PI.f64) (.f64 angle 1/360))
(-.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2)) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) -2))
(.f64 (PI.f64) (.f64 angle 1/360))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 4) (.f64 (PI.f64) (.f64 (.f64 angle 1/360) 1/2))) (-.f64 0 (/.f64 (.f64 (PI.f64) (*.f64 angle 1/360)) 4)))
(.f64 (PI.f64) (.f64 angle 1/360))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 2) 2) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) -2) 2))
(.f64 (PI.f64) (.f64 angle 1/360))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/120)) 4) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 4))
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 1)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 1/90))) 8)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 1/90)) 16)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 1/90))) (.f64 (PI.f64) (.f64 2 (.f64 angle 1/90)))) 16)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4) (.f64 angle 1/90)) (.f64 (.f64 (PI.f64) 4) (.f64 angle 1/90))) 32)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (.f64 2 (.f64 angle 1/90)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(.f64 (PI.f64) (.f64 angle 1/360))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 1/90))) 64)
(.f64 (PI.f64) (.f64 angle 1/360))
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/360)) 1)
(.f64 (PI.f64) (.f64 angle 1/360))

localize93.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/32400 (pow.f64 (.f64 a (*.f64 (PI.f64) angle)) 2))
✓	0.2b	(.f64 a (.f64 (PI.f64) angle))
✓	0.2b	(*.f64 (PI.f64) angle)
✓	0.3b	(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)

Compiler

Compiled 57 to 30 computations (47.4% saved)

series15.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	angle	@	0	(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
0.0ms	angle	@	-inf	(*.f64 (PI.f64) angle)
0.0ms	angle	@	inf	(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
0.0ms	a	@	0	(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)
0.0ms	angle	@	-inf	(pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)

rewrite314.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational_best-2`
1936×	`rational_best-3`
1936×	`rational_best-1`
1910×	`rational_best-4`
794×	`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	5705	72

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify523.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational_best-simplify-56`
890×	`rational_best-simplify-50`
692×	`rational_best-simplify-55`
590×	`rational_best-simplify-64`
570×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	4813
1	903	4651
2	2717	4639
3	7258	4639

Stop Event

1×	node limit

Counts

221 → 169

Calls

Call 1

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

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

localize354.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)
✓	0.3b	(.f64 (.f64 angle a) (PI.f64))
	0.3b	(*.f64 (/.f64 angle 180) (PI.f64))
	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

Compiler

Compiled 86 to 48 computations (44.2% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite366.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational_best-2`
1752×	`rational_best-3`
1752×	`rational_best-1`
1724×	`rational_best-4`
1724×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	67	36
2	137	36
3	352	36
4	1203	36
5	5050	36

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(.f64 (.f64 angle a) (PI.f64))
(pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)

Outputs

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

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

simplify359.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best-simplify-1`
1078×	`rational_best-simplify-63`
1048×	`rational_best-simplify-75`
764×	`rational_best-simplify-66`
648×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	2898
1	694	2898
2	1888	2898
3	5754	2898

Stop Event

1×	node limit

Counts

144 → 112

Calls

Call 1

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

Outputs
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
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(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))
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(.f64 a (.f64 angle (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
(.f64 a (.f64 angle (PI.f64)))
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(.f64 a (.f64 angle (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
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(.f64 angle (.f64 a (PI.f64)))
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(/.f64 (.f64 (.f64 angle 4) (.f64 (PI.f64) (.f64 a 4))) 16)
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(/.f64 (+.f64 (.f64 (PI.f64) (.f64 angle (.f64 2 (.f64 a 4)))) (.f64 (PI.f64) (.f64 angle (.f64 2 (.f64 a 4))))) 16)
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(pow.f64 (.f64 angle (.f64 a (PI.f64))) 1)
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(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2) 1)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 1 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle a) 2) (pow.f64 (PI.f64) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 angle a) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) 1/2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 a 2) (pow.f64 (.f64 angle (PI.f64)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (PI.f64)) 2) (pow.f64 a 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 a (PI.f64)) 2) (pow.f64 angle 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 angle a) 2)) (/.f64 (pow.f64 (PI.f64) 2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 angle a) 2)) (.f64 1 (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (*.f64 angle a) 2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (.f64 1 (/.f64 (pow.f64 (.f64 angle a) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 2)) 2) 1/4)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 4 (pow.f64 (.f64 angle (.f64 a (.f64 (PI.f64) 1/2))) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 1/4 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 2)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (/.f64 (pow.f64 (.f64 angle a) 2) 2) (*.f64 2 (pow.f64 (PI.f64) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 2) (.f64 2 (pow.f64 (*.f64 angle a) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 angle 2) 2) (/.f64 (pow.f64 (*.f64 a (PI.f64)) 2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 angle 2) 2) (*.f64 (pow.f64 a 2) (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 a 2) 2) (/.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 a 2) 2) (*.f64 (pow.f64 angle 2) (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle a) 2))) (/.f64 (pow.f64 (PI.f64) 2) 4))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle a) 2))) (*.f64 1/2 (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (/.f64 (pow.f64 (.f64 angle a) 2) 4))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 1/2 (/.f64 (pow.f64 (*.f64 angle a) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 (.f64 angle a) (*.f64 (PI.f64) 2)) 2)) 1/8)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 (.f64 angle a) 2) 4) (pow.f64 (.f64 (PI.f64) 1/2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 angle 2) 4) (pow.f64 (.f64 a (.f64 (PI.f64) 1/2)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 a 1/2) 2) (pow.f64 (.f64 angle (.f64 (PI.f64) 2)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (.f64 angle (.f64 (PI.f64) 1/2)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle 1/2) 2) (pow.f64 (.f64 a (.f64 (PI.f64) 2)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 angle (.f64 a 1/2)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (pow.f64 (.f64 angle a) 2) 4))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (.f64 a 1/2)) 2) (.f64 (pow.f64 (PI.f64) 2) 4))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (+.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 a 2) 4)) (.f64 (pow.f64 (*.f64 angle 1/2) 2) (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (+.f64 (.f64 (pow.f64 (.f64 angle a) 2) 4) (.f64 (pow.f64 (.f64 angle a) 2) 4)) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (+.f64 (.f64 (pow.f64 angle 2) 4) (.f64 (pow.f64 angle 2) 4)) (.f64 (pow.f64 (*.f64 a 1/2) 2) (/.f64 (pow.f64 (PI.f64) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 4)) (.f64 1/4 (/.f64 (pow.f64 (*.f64 angle a) 2) 2)))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (*.f64 a 4)) 2) (pow.f64 (/.f64 (PI.f64) 4) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (.f64 a 4)) 2) (pow.f64 (.f64 (PI.f64) 1/4) 2))
(pow.f64 (.f64 (.f64 angle (.f64 a 4)) (.f64 (PI.f64) 1/4)) 2)
(pow.f64 (.f64 1/4 (.f64 (PI.f64) (.f64 angle (.f64 a 4)))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 4))) 2) 1/16)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 4 (.f64 angle a))) 2) 1/16)
(.f64 (pow.f64 (.f64 angle 4) 2) (pow.f64 (*.f64 (PI.f64) (/.f64 a 4)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 a 4) 2) (pow.f64 (*.f64 (PI.f64) (/.f64 angle 4)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 a (.f64 (PI.f64) 2)) 2) (pow.f64 (.f64 angle 1/2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (*.f64 a (/.f64 angle 4)) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 4) 2) (pow.f64 (.f64 (.f64 angle a) 1/4) 2))
(pow.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (.f64 angle a) 1/4)) 2)
(pow.f64 (.f64 (.f64 angle a) (.f64 1/4 (.f64 (PI.f64) 4))) 2)
(.f64 1/16 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 4)) 2))
(.f64 16 (pow.f64 (.f64 (PI.f64) (.f64 angle (.f64 a 1/4))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 a 4)) 2) (pow.f64 (/.f64 angle 4) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 2)) 2) (pow.f64 (.f64 a 1/2) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (*.f64 (PI.f64) 4)) 2) (pow.f64 (/.f64 a 4) 2))
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) (.f64 a 4))) 2) 1/16)
(pow.f64 (.f64 (.f64 angle (.f64 a 4)) (.f64 (PI.f64) 1/4)) 2)
(pow.f64 (.f64 1/4 (.f64 (PI.f64) (.f64 angle (.f64 a 4)))) 2)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 a (.f64 angle 4))) 2) 1/16)
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 4 (.f64 angle a))) 2) 1/16)
(/.f64 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2) 1)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2)) 2)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(/.f64 (pow.f64 (.f64 (.f64 angle a) (*.f64 (PI.f64) 2)) 2) 4)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 2)) 2)) 8)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(/.f64 (+.f64 (.f64 2 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 2)) 2)) (.f64 2 (pow.f64 (.f64 (.f64 angle a) (.f64 (PI.f64) 2)) 2))) 16)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 angle a) 2))) (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2)))) 16)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 angle a) 2)))) 16)
(pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)
(pow.f64 (.f64 a (.f64 angle (PI.f64))) 2)

localize236.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	24.0b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	56.3b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))

Compiler

Compiled 156 to 116 computations (25.6% saved)

series10.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite228.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best-4`
1432×	`rational_best-2`
1432×	`rational_best-3`
1432×	`rational_best-1`
1432×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	160	67
2	366	67
3	1081	31
4	4763	31

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify643.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational_best-simplify-63`
1084×	`rational_best-simplify-85`
862×	`rational_best-simplify-3`
832×	`rational_best-simplify-80`
742×	`rational_best-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	3365
1	366	3177
2	774	3149
3	1976	3149
4	6606	3133

Stop Event

1×	node limit

Counts

57 → 71

Calls

Call 1

Inputs
(.f64 1/4 (.f64 (pow.f64 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 1/4 (.f64 (pow.f64 a 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (+.f64 (.f64 (+.f64 (.f64 -1/259200 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (.f64 -1/2 (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 a 2))))) (pow.f64 angle 2)) (.f64 1/4 (.f64 (pow.f64 a 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 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (+.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 a 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64))))))) (.f64 1/2 (.f64 (pow.f64 a 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)))) (cos.f64 (.f64 -1/2 (PI.f64)))))))) (+.f64 (.f64 (+.f64 (.f64 -1/259200 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/259200 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cos.f64 (.f64 -1/2 (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 a 2))))) (pow.f64 angle 2)) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))))))
(.f64 1/4 (.f64 (pow.f64 a 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 a 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 a 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 a 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 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 2) (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)))
(.f64 1/4 (.f64 (pow.f64 a 2) (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)))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(+.f64 0 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 2) (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 2))
(-.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2))
(.f64 1/2 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))
(.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1)
(.f64 1 (pow.f64 (.f64 a (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 a 1/2)) 2))
(.f64 (pow.f64 a 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 a 2))
(.f64 (.f64 2 (pow.f64 (.f64 a (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 a 1/2) 2))
(.f64 (pow.f64 (.f64 a 1/2) 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 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))
(.f64 1/4 (pow.f64 (.f64 a (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)) 2))
(.f64 (.f64 2 (pow.f64 a 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 a 2) 2))
(.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (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 a 4) 2))
(.f64 (pow.f64 (/.f64 a 4) 2) (.f64 4 (.f64 4 (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))))
(.f64 (/.f64 (pow.f64 a 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 a 2)))
(.f64 (pow.f64 (+.f64 a a) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) 2))
(.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 2) (pow.f64 (/.f64 a 8) 2))
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (*.f64 a 1/2)) 2) 4)
(.f64 (pow.f64 (.f64 a (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2)) 2) 1/4)
(.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1/2) 2) (pow.f64 (+.f64 a a) 2))
(.f64 (pow.f64 (/.f64 a 8) 2) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2) 4) 2))
(/.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) 8)

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

localize319.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2))
	23.9b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	24.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	58.2b	(cos.f64 (*.f64 -1/2 (PI.f64)))

Compiler

Compiled 155 to 113 computations (27.1% saved)

series25.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	angle	@	inf	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2))
2.0ms	a	@	0	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2))
2.0ms	angle	@	-inf	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2))
1.0ms	angle	@	0	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2))
1.0ms	a	@	inf	(.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2))

rewrite236.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`rational_best-4`
1690×	`rational_best-2`
1690×	`rational_best-3`
1690×	`rational_best-1`
1690×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	141	68
2	307	68
3	916	68
4	3949	68

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify391.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational_best-simplify-1`
1030×	`rational_best-simplify-83`
980×	`rational_best-simplify-75`
948×	`rational_best-simplify-76`
666×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2974
1	425	2802
2	1124	2782
3	4213	2780

Stop Event

1×	node limit

Counts

82 → 84

Calls

Call 1

Inputs
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))
(+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 1/180 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/180 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))))
(+.f64 (.f64 1/129600 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 1/180 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/180 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))))
(+.f64 (.f64 1/129600 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 1/180 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/180 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/34992000 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 angle 3) (pow.f64 a 2)))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))))))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 0)
(+.f64 0 (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) 2))
(+.f64 (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4))
(+.f64 (/.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2))
(-.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 0)
(-.f64 0 (neg.f64 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(-.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) -2))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) -4))
(-.f64 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) 4)) (cos.f64 (/.f64 (neg.f64 (PI.f64)) 4))) (.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) 4)) (sin.f64 (/.f64 (neg.f64 (PI.f64)) 4))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 0))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (cos.f64 0) (cos.f64 0)))
(.f64 2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (cos.f64 0)))
(.f64 1 (cos.f64 (.f64 -1/2 (PI.f64))))
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2) 2)
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2) 1/2)
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2) (/.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (cos.f64 (.f64 -1/2 (PI.f64))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))
(.f64 1/2 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))
(.f64 (/.f64 (cos.f64 0) 2) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))))
(.f64 1/4 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)) 1/4)
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)) (/.f64 (cos.f64 0) 4))
(.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))) 1/2)
(.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))) (/.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 -1/2 (PI.f64))))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2))
(.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (cos.f64 0)) 2)
(/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) 2)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)) 4)
(/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)) (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 8)
(/.f64 (+.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))))) 4)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (-.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64))))) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) (-.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64))))) 2)
(/.f64 (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 4)
(pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1)
(+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 0)
(+.f64 0 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 2) (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 2))
(-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)) 2))
(/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (/.f64 a 2)) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (.f64 1/4 (pow.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(pow.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 1)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)

Outputs
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (cos.f64 (*.f64 -1/2 (PI.f64)))) 2))
(+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 1/180 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/180 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) 1/180)) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) 1/180)))))))
(.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 angle (.f64 (pow.f64 a 2) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90)))))
(.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90) (.f64 (pow.f64 a 2) angle))))
(+.f64 (.f64 1/129600 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 1/180 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/180 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))))
(+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) (+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) 1/180)) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) 1/180)))))) (.f64 1/129600 (.f64 (pow.f64 angle 2) (pow.f64 (*.f64 a (PI.f64)) 2)))))
(+.f64 (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 angle (.f64 (pow.f64 a 2) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90))))) (.f64 1/129600 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2)))
(+.f64 (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90) (.f64 (pow.f64 a 2) angle)))) (.f64 1/129600 (pow.f64 (.f64 (PI.f64) (*.f64 a angle)) 2)))
(+.f64 (.f64 1/129600 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 1/180 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/180 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/34992000 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 angle 3) (pow.f64 a 2)))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))))))
(+.f64 (.f64 1/129600 (.f64 (pow.f64 angle 2) (pow.f64 (.f64 a (PI.f64)) 2))) (+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) 1/180)) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (PI.f64) 1/180)))))) (+.f64 (.f64 1/4 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) (.f64 1/4 (.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) -1/34992000)) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) -1/34992000))) (.f64 (pow.f64 a 2) (pow.f64 angle 3)))))))
(+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90)))) (+.f64 (.f64 1/4 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)) -1/17496000) (.f64 (pow.f64 a 2) (pow.f64 angle 3))))) (.f64 1/129600 (pow.f64 (.f64 angle (*.f64 a (PI.f64))) 2))))
(+.f64 (.f64 1/4 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90)))) (+.f64 (.f64 1/129600 (pow.f64 (.f64 angle (.f64 a (PI.f64))) 2)) (.f64 1/4 (.f64 (pow.f64 a 2) (+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)) -1/17496000) (pow.f64 angle 3)) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))))))
(+.f64 (.f64 (.f64 1/4 (pow.f64 a 2)) (+.f64 (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)) -1/17496000) (pow.f64 angle 3)))) (+.f64 (.f64 1/4 (.f64 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 -1/2 (PI.f64)))) 1/90) (.f64 (pow.f64 a 2) angle))) (.f64 1/129600 (pow.f64 (.f64 (PI.f64) (.f64 a angle)) 2))))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))) 2)))
(.f64 1/4 (pow.f64 (.f64 a (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 2))
(+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 0)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 0 (cos.f64 (*.f64 -1/2 (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64)))) 2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (/.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(-.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 0)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(-.f64 0 (neg.f64 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(-.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) -2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) (/.f64 (cos.f64 (.f64 -1/2 (PI.f64))) -4))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(-.f64 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) 4)) (cos.f64 (/.f64 (neg.f64 (PI.f64)) 4))) (.f64 (sin.f64 (/.f64 (neg.f64 (PI.f64)) 4)) (sin.f64 (/.f64 (neg.f64 (PI.f64)) 4))))
(cos.f64 (+.f64 (/.f64 (neg.f64 (PI.f64)) 4) (/.f64 (neg.f64 (PI.f64)) 4)))
(cos.f64 (/.f64 (-.f64 0 (+.f64 (PI.f64) (PI.f64))) 4))
(cos.f64 (-.f64 0 (/.f64 (PI.f64) 2)))
(cos.f64 (neg.f64 (/.f64 (PI.f64) 2)))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 0))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (cos.f64 0)))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 1 (cos.f64 (.f64 -1/2 (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2) 2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2) (+.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2) 1/2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2) (/.f64 (cos.f64 0) 2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (cos.f64 0) (cos.f64 (.f64 -1/2 (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 1/2 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (/.f64 (cos.f64 0) 2) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 1/4 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)) 1/4)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)) (/.f64 (cos.f64 0) 4))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))) 1/2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (*.f64 -1/2 (PI.f64))))) (/.f64 (cos.f64 0) 2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 -1/2 (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1/2))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 1/2) (cos.f64 0)) 2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) 2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)) 4)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) 2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2)) (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 8)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (+.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))))) 4)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (-.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64))))) 2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64))))) (-.f64 (cos.f64 (neg.f64 (.f64 -1/2 (PI.f64)))) (cos.f64 (.f64 -1/2 (PI.f64))))) 2)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(/.f64 (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) 4)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(pow.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 1)
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 0)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(+.f64 0 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2))
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 2) (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 2))
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 0)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 2) (/.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)) 2))
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 1)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (/.f64 a 2)) 2)) 2)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2))) 4)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2))) (.f64 2 (.f64 2 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)))) 8)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(/.f64 (.f64 (.f64 2 (.f64 2 (.f64 1/4 (pow.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 1/2)) (*.f64 (pow.f64 a 2) 4)) 16)
(/.f64 (.f64 4 (.f64 (.f64 1/4 (pow.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (*.f64 (pow.f64 a 2) 4))) 16)
(/.f64 (.f64 (.f64 1/2 (pow.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (.f64 (pow.f64 a 2) 8)) 16)
(pow.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2) 1)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(pow.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (/.f64 a 2)) 2)
(pow.f64 (.f64 a (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) 2)

eval2.8s (4.2%)

Compiler: Compiled 39744 to 30098 computations (24.3% saved)

prune2.6s (4%)

Pruning

74 alts after pruning (65 fresh and 9 done)

	Pruned	Kept	Total
New	1133	22	1155
Fresh	12	43	55
Picked	1	0	1
Done	0	9	9
Total	1146	74	1220

Error

17.4b

Counts

1220 → 74

Alt Table

Click to see full alt table

Status	Error	Program
	18.5b	(+.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (cos.f64 (.f64 angle (.f64 1/360 (PI.f64))))) (.f64 a -2)) 2) (pow.f64 (.f64 b 1) 2))
	25.7b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
	25.6b	(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 (.f64 a -2) (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64)))))) 2) (pow.f64 (.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a) 2) (pow.f64 (.f64 b 1) 2))
	39.4b	(+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (neg.f64 (PI.f64)) -2)) a) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	39.1b	(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 a 1/2)) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2)) 2) (pow.f64 (*.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2)) 2) (pow.f64 (*.f64 b 1) 2))
✓	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2)) 2) (pow.f64 (*.f64 b 1) 2))
	37.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2)) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.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) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (/.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) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2)) 2) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 2) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) 2))) 2)) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (+.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) 1) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 1/360 (.f64 angle (PI.f64))))))))) 2) (pow.f64 (*.f64 b 1) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/360 angle)))))))) 2) (pow.f64 (.f64 b 1) 2))
	37.1b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (/.f64 (+.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/360 angle) 1/2)))) 2))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (-.f64 (.f64 (.f64 angle (PI.f64)) 1/180) (.f64 angle (.f64 1/360 (PI.f64))))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) 2) (pow.f64 (*.f64 b 1) 2))
	37.2b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 360))) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/360 angle)))))))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	19.5b	(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
	28.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 angle (/.f64 (PI.f64) 180))))))) 2) (pow.f64 (.f64 b 1) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (*.f64 angle (/.f64 (PI.f64) 360)))))) 2))
	19.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2))) 2))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 1)) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2))) (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 (.f64 angle 1/180) 1/2)))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2))))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 4) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/60)) 4)))) 2))
✓	18.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	18.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
✓	18.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b 1) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	36.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (pow.f64 (.f64 1/180 (.f64 (PI.f64) (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/32400) 4) (/.f64 (.f64 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2) 1/10800) 4)) (pow.f64 (*.f64 b 1) 2))
	38.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (+.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)) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2))))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.4b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.4b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	38.0b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2)) (pow.f64 (*.f64 b 1) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	38.3b	(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.3b	(+.f64 (.f64 (pow.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)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.4b	(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) (/.f64 (+.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 2 (.f64 1/180 angle))) 2)) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (+.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 angle 1/180) 1/2)))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	32.4b	(+.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 angle 4) 180) (.f64 (PI.f64) 4)) 16)) 2) (pow.f64 a 2)) (pow.f64 (*.f64 b 1) 2))
✓	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) 2) (pow.f64 a 2)) (pow.f64 (*.f64 b 1) 2))
	26.2b	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	37.0b	(+.f64 (.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
	39.1b	(+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2))) (pow.f64 (.f64 b 1) 2))
	26.4b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))) 2)) 2))
	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (.f64 angle (/.f64 (PI.f64) 360)))))) 2))
	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2))
✓	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	25.7b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b 1) 2))
✓	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)) (pow.f64 (.f64 b 1) 2))
✓	25.6b	(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
	25.6b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b 1) 2))
	32.7b	(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 2376 to 1953 computations (17.8% saved)

regimes2.2s (3.3%)

Counts

123 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 (PI.f64) a)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (PI.f64) (.f64 angle a)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 1/180 (.f64 (PI.f64) (.f64 angle a))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (.f64 (PI.f64) a) (.f64 angle 1/180)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) -1/2)) (.f64 a 1/2)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 (.f64 a angle) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) a) 2) (.f64 (pow.f64 angle 2) 1/32400)) (pow.f64 (.f64 b 1) 2))
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(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 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 angle (/.f64 (PI.f64) 180))))) 2)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2)) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (+.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 (.f64 angle a) (PI.f64)) 2)) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (.f64 angle (/.f64 (PI.f64) 360)))))) 2))
(+.f64 (.f64 (pow.f64 (+.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 angle 1/180) 1/2)))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/90))) 2))) 2))) 2))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (+.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)) (cos.f64 (.f64 -1/2 (PI.f64)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 1/180 (PI.f64))) 2))))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (.f64 angle 1/360))))) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) 2))) 2)) 1) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 360))) (cos.f64 (.f64 angle (/.f64 (PI.f64) 360)))) (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 360))) (sin.f64 (*.f64 angle (/.f64 (PI.f64) 360)))))) 2))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/180)))))) 2)) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 -2 (neg.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/720)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/720))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 360))))))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 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 angle (/.f64 (PI.f64) 180))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) (/.f64 (+.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 2 (.f64 1/180 angle))) 2)) (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 (.f64 angle 1/180) 1/2))) (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 (.f64 angle 1/180) 1/2)))))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2)) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 1/180 angle)))) (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) (cos.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 2 (.f64 1/180 angle))) (PI.f64)) 2))) 2)) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 (pow.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)))) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2)) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 2)) 8))))) 2) 2) (pow.f64 a 2)) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))

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

Calls

6 calls:

392.0ms	a
329.0ms	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
294.0ms	angle
273.0ms	b
231.0ms	(/.f64 angle 180)

Results

Error	Segments	Branch
18.5b	1	`a`
18.5b	1	`b`
18.5b	1	`angle`
18.5b	1	`(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))`
18.5b	1	`(*.f64 (/.f64 angle 180) (PI.f64))`
18.5b	1	`(/.f64 angle 180)`

Compiler

Compiled 3738 to 2811 computations (24.8% saved)

regimes220.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

158.0ms	b
27.0ms	a
12.0ms	angle

Results

Error	Segments	Branch
18.5b	1	`a`
18.5b	1	`b`
18.5b	1	`angle`

Compiler

Compiled 167 to 120 computations (28.1% saved)

regimes217.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

164.0ms	b
22.0ms	a
11.0ms	angle

Results

Error	Segments	Branch
18.6b	1	`a`
18.6b	1	`b`
18.6b	1	`angle`

Compiler

Compiled 151 to 108 computations (28.5% saved)

regimes97.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	a
21.0ms	angle
10.0ms	b

Results

Error	Segments	Branch
25.6b	1	`a`
25.6b	1	`b`
25.6b	1	`angle`

Compiler

Compiled 135 to 97 computations (28.1% saved)

regimes106.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	a
38.0ms	angle
21.0ms	b

Results

Error	Segments	Branch
25.6b	1	`a`
25.6b	1	`b`
25.6b	1	`angle`

Compiler

Compiled 105 to 76 computations (27.6% saved)

regimes53.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	b
9.0ms	a
8.0ms	angle

Results

Error	Segments	Branch
25.6b	1	`a`
25.6b	1	`b`
25.6b	1	`angle`

Compiler

Compiled 90 to 65 computations (27.8% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	282

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 angle (.f64 (PI.f64) 1/180))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (pow.f64 (.f64 a (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 b 1) 2))
(+.f64 (.f64 1/32400 (pow.f64 (.f64 a (.f64 (PI.f64) angle)) 2)) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 111 to 93 computations (16.2% saved)

soundness0.0ms (0%)

end434.0ms (0.7%)

Compiler: Compiled 96 to 72 computations (25% saved)