Details

analyze524.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample5.7s (23.4%)

Results

1.3s	5729×	body	256	valid
1.1s	1554×	body	1024	valid
1.1s	1278×	body	1024	infinite
738.0ms	2134×	body	256	infinite
409.0ms	88×	body	4096	valid
367.0ms	710×	body	512	valid
338.0ms	658×	body	512	infinite
265.0ms	175×	body	2048	valid

Bogosity

preprocess99.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1444×	`rational_best-simplify-52`
1310×	`rational_best-simplify-48`
1004×	`rational_best-simplify-65`
832×	`rational_best-simplify-63`
826×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	292
1	75	292
2	131	292
3	233	292
4	427	292
5	854	244
6	2014	196
7	5532	196
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational_best-simplify-1`
796×	`rational_best-simplify-3`
666×	`rational_best-simplify-57`
650×	`rational_best-simplify-108`
646×	`rational_best-simplify-55`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	33	73
2	55	73
3	94	73
4	165	73
5	323	61
6	748	49
7	2254	49
8	7944	49

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 124 to 92 computations (25.8% saved)

prune4.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

31.3b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
▶	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
▶	31.3b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
▶	31.3b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

Compiler

Compiled 97 to 78 computations (19.6% saved)

localize104.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	11.9b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
✓	21.4b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	21.7b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 90 to 64 computations (28.9% saved)

series13.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite154.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational_best-2`
1408×	`rational_best-3`
1408×	`rational_best-1`
1400×	`rational_best-4`
1400×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	137	126
2	296	126
3	891	126
4	3543	126

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

Inputs
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(*.f64 (PI.f64) (/.f64 angle 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))) 2) (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (/.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (/.f64 (cos.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))) 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) (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (+.f64 (.f64 (sin.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 (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 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 0) (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 1/2 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (sin.f64 0))))))) (#(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 (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (+.f64 (cos.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 0) (cos.f64 0)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(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) (cos.f64 0)) (/.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 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simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational_best-simplify-1`
1022×	`rational_best-simplify-52`
976×	`rational_best-simplify-63`
956×	`rational_best-simplify-48`
904×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	8926
1	955	8814
2	2859	7732

Stop Event

1×	node limit

Counts

198 → 208

Calls

Call 1

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

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

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	11.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
	21.4b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	21.7b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 87 to 61 computations (29.9% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite152.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational_best-2`
1634×	`rational_best-3`
1634×	`rational_best-1`
1632×	`rational_best-4`
1632×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	137	73
2	312	73
3	1033	59
4	4087	59

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify162.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational_best-simplify-1`
1204×	`rational_best-simplify-63`
1190×	`rational_best-simplify-62`
928×	`rational_best-simplify-3`
794×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	5399
1	395	5307
2	887	4241
3	2051	4167
4	5748	4167

Stop Event

1×	node limit

Counts

57 → 85

Calls

Call 1

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

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	11.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	21.4b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	21.7b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 90 to 64 computations (28.9% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	angle	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
1.0ms	a	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	angle	@	-inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	a	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	b	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`rational_best-simplify-51`
1178×	`rational_best-simplify-63`
1150×	`rational_best-simplify-57`
1112×	`rational_best-4`
1112×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	122	49
2	261	49
3	756	49
4	2806	49

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify146.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational_best-simplify-83`
1018×	`rational_best-simplify-56`
950×	`rational_best-simplify-75`
944×	`rational_best-simplify-76`
754×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	3287
1	232	3281
2	479	2813
3	1163	2813
4	3861	2813

Stop Event

1×	node limit

Counts

51 → 60

Calls

Call 1

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

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

localize143.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	0.3b	(*.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))
✓	11.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
✓	21.8b	(sin.f64 (*.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))

Compiler

Compiled 61 to 35 computations (42.6% saved)

series6.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`rational_best-simplify-63`
1246×	`rational_best-4`
1246×	`rational_best-2`
1246×	`rational_best-3`
1246×	`rational_best-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	123	114
2	272	114
3	797	114
4	3159	96

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify219.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

880×	`rational_best-simplify-55`
876×	`rational_best-simplify-1`
550×	`rational_best-simplify-47`
510×	`rational_best-simplify-63`
486×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	7797
1	807	7559
2	2138	6211
3	7892	6211

Stop Event

1×	node limit

Counts

221 → 191

Calls

Call 1

Inputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))))
(+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 1/90 (.f64 angle (PI.f64)))
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(pow.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(+.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 0)
(+.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (neg.f64 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (neg.f64 (pow.f64 a 2)) (neg.f64 (neg.f64 (pow.f64 b 2))))
(+.f64 (-.f64 (*.f64 2 (pow.f64 b 2)) (pow.f64 a 2)) (neg.f64 (pow.f64 b 2)))
(+.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (-.f64 (*.f64 2 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (/.f64 (pow.f64 b 2) 2) (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2)))
(+.f64 (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 2) 2))
(+.f64 (neg.f64 (/.f64 (pow.f64 a 2) 2)) (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)))
(+.f64 (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (/.f64 (pow.f64 a 2) 2)))
(+.f64 (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)) (/.f64 (neg.f64 (pow.f64 a 2)) 2))
(+.f64 (neg.f64 (neg.f64 (pow.f64 b 2))) (neg.f64 (pow.f64 a 2)))
(+.f64 (/.f64 (neg.f64 (pow.f64 a 2)) 2) (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(*.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/2)
(*.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 1/2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 1/2 (-.f64 (.f64 (pow.f64 b 2) 4) (*.f64 2 (+.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 8)
(/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 2 (+.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 b 2) 4)) (.f64 2 (.f64 (pow.f64 a 2) 4))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 b 2) 4)) (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (pow.f64 a 2) 4)) 2)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) (.f64 2 (.f64 (pow.f64 a 2) 4))) 4)
(pow.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))

Outputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (.f64 angle (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/90 (.f64 angle (PI.f64)))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
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(/.f64 (.f64 -2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -2)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4)) -4)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 8)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4)) 16)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4))) -8)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) -2)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 (.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 b 2) 4))) -4)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
(/.f64 (.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)) -4)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 0)
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 0)
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -1)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (+.f64 angle angle) 1/90)) 2)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (*.f64 angle 1/90) 4)) 4)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (+.f64 angle angle) 1/90) (*.f64 (PI.f64) 4)) 8)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (.f64 angle 1/90) 4)) 16)
(.f64 1/90 (.f64 angle (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(.f64 1/90 (.f64 angle (PI.f64)))
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 0)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 0 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 a 2)) (neg.f64 (neg.f64 (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (-.f64 (*.f64 2 (pow.f64 b 2)) (pow.f64 a 2)) (neg.f64 (pow.f64 b 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (-.f64 (*.f64 2 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (/.f64 (pow.f64 b 2) 2) (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2)))
(+.f64 (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 2) 2))
(+.f64 (/.f64 (pow.f64 b 2) 2) (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2)))
(+.f64 (neg.f64 (/.f64 (pow.f64 a 2) 2)) (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (/.f64 (pow.f64 a 2) 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)) (/.f64 (neg.f64 (pow.f64 a 2)) 2))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (neg.f64 (neg.f64 (pow.f64 b 2))) (neg.f64 (pow.f64 a 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (/.f64 (neg.f64 (pow.f64 a 2)) 2) (-.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1/2)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 -1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 1/2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 1/2 (-.f64 (.f64 (pow.f64 b 2) 4) (*.f64 2 (+.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 1/2 (-.f64 (.f64 (pow.f64 b 2) 4) (*.f64 2 (+.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 1/4)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 1/4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) 4)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 8)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 2 (+.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 b 2) 4)) (.f64 2 (.f64 (pow.f64 a 2) 4))) 8)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 b 2) 4)) (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4))) 4)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (pow.f64 a 2) 4)) 2)
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 a 2) 4)) 2)
(/.f64 (-.f64 (.f64 (pow.f64 a 2) -4) (neg.f64 (.f64 (pow.f64 b 2) 4))) 4)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) (.f64 2 (.f64 (pow.f64 a 2) 4))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 a 2) 4)) 2)
(/.f64 (-.f64 (.f64 (pow.f64 a 2) -4) (neg.f64 (.f64 (pow.f64 b 2) 4))) 4)
(pow.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
(neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (pow.f64 b 2) (neg.f64 (pow.f64 a 2)))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))

eval541.0ms (2.2%)

Compiler: Compiled 29606 to 22405 computations (24.3% saved)

prune290.0ms (1.2%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	877	41	918
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	881	41	922

Error

27.8b

Counts

922 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
▶	41.8b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
	40.8b	(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
	40.8b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	48.9b	(.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	51.8b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	48.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))) 2))
	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) 2))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (.f64 2 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) 2))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	36.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (*.f64 angle (PI.f64)))))
	33.6b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
	51.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	52.1b	(.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	40.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
▶	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2)))
	35.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))
	35.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
	31.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (/.f64 (.f64 (.f64 angle 4) (/.f64 (*.f64 (PI.f64) 4) 180)) 16)))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	40.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.8b	(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
	33.6b	(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
	33.5b	(.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
▶	33.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	52.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	41.7b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.7b	(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
	32.2b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (.f64 (PI.f64) 1/2))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))) 2))))
	31.3b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2))))
	31.5b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	40.8b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
	33.6b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
▶	41.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	33.6b	(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
▶	31.2b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))

Compiler

Compiled 2284 to 1848 computations (19.1% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (pow.f64 a 2) (pow.f64 b 2))
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/90))
✓	11.9b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
✓	21.9b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))

Compiler

Compiled 65 to 45 computations (30.8% saved)

series4.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational_best-simplify-63`
1026×	`rational_best-simplify-51`
988×	`rational_best-4`
988×	`rational_best-2`
988×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	96
1	112	96
2	224	96
3	620	96
4	2372	96

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (neg.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) 2)))) (neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2))) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2)) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 0) 2)))) (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4)) (/.f64 (cos.f64 0) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)) (+.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 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1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (pow.f64 b 2) 4)) (.f64 (pow.f64 a 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))))

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1076×	`rational_best-simplify-55`
954×	`rational_best-simplify-1`
854×	`rational_best-simplify-47`
770×	`rational_best-simplify-80`
586×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	8151
1	931	7857
2	2487	7743

Stop Event

1×	node limit

Counts

243 → 232

Calls

Call 1

Inputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (PI.f64))))
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(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (*.f64 angle 1/45))) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (*.f64 angle 1/45))) (neg.f64 (neg.f64 (/.f64 (PI.f64) -2))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/90)))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2))) (neg.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) -2)) (neg.f64 (/.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)) -2)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2))) (neg.f64 (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (*.f64 angle 1/90)) -2))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/90)))) (/.f64 (PI.f64) -4))
(+.f64 (-.f64 0 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)) (neg.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 0)
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) (/.f64 (PI.f64) -2))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2) (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 angle 2/45) 1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2) (/.f64 (PI.f64) -4)) (-.f64 (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 angle 1/90))) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/45))) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -1)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 2)
(/.f64 (.f64 (PI.f64) (.f64 angle 2/45)) 4)
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 2/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 2/45)) 16)
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(+.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 0)
(+.f64 0 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (neg.f64 (neg.f64 (pow.f64 a 2))))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) (neg.f64 (pow.f64 a 2)))
(+.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2))
(+.f64 (neg.f64 (pow.f64 a 2)) (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) 2) (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)))
(+.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 b 2) -2))
(+.f64 (+.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) -2)) (pow.f64 b 2))
(+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (neg.f64 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 b 2) -2) (+.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) -2)))
(+.f64 (/.f64 (pow.f64 b 2) -2) (/.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) 2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (neg.f64 (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2))))
(+.f64 (+.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) -2)) (/.f64 (pow.f64 b 2) -2))
(+.f64 (neg.f64 (neg.f64 (pow.f64 a 2))) (neg.f64 (pow.f64 b 2)))
(+.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) 2) (/.f64 (pow.f64 b 2) -2))
(+.f64 (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)) (/.f64 (pow.f64 a 2) 2))
(+.f64 (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)) (neg.f64 (/.f64 (pow.f64 a 2) -2)))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) 2)) (neg.f64 (+.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) 2))))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 a 2)) (neg.f64 (pow.f64 b 2)))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))
(+.f64 (-.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 (pow.f64 b 2) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 b 2) 3) 2)))
(.f64 2 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)
(*.f64 1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1)
(.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 1/2)
(*.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 1/2 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 1/2 (-.f64 (.f64 (pow.f64 a 2) 4) (*.f64 2 (+.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2) 2)
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4))
(.f64 (.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4) 1/8)
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1)
(/.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4) 8)
(/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) -4)
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) -4)
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) -1) 4)
(/.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) -1) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 b 2) 4)) (.f64 (pow.f64 a 2) 4)) 4)
(pow.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)
(neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))

Outputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (.f64 angle (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)) (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (.f64 angle (PI.f64)))) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (PI.f64))))
(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 1/90 angle))
(.f64 1/90 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 (PI.f64) (*.f64 angle (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (PI.f64)))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/90 angle)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 angle 3) -1/4374000)))
(+.f64 (.f64 1/90 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 angle (PI.f64)))) (.f64 -1/4374000 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 1/90 (.f64 (PI.f64) (.f64 angle (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 -1/4374000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (PI.f64)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (PI.f64) 3)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/90 angle)) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 angle 3) -1/4374000)) (.f64 (.f64 (pow.f64 (PI.f64) 5) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 (pow.f64 angle 5) 1/708588000000))))
(+.f64 (.f64 -1/4374000 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (.f64 angle (PI.f64)) 3))) (+.f64 (.f64 1/708588000000 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 1/90 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 angle (PI.f64))))))
(+.f64 (.f64 1/90 (.f64 (PI.f64) (.f64 angle (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (.f64 1/708588000000 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 5) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (PI.f64)))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (PI.f64) 5)))) (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (PI.f64) 7)))))))
(+.f64 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 5) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 angle 5) 1/708588000000)) (.f64 (.f64 (pow.f64 (PI.f64) 7) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 angle 7) -1/241061637600000000))) (+.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/90 angle)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (pow.f64 angle 3) -1/4374000))))
(+.f64 (.f64 1/90 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/708588000000 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (.f64 angle (PI.f64)) 5))) (+.f64 (.f64 -1/241061637600000000 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (.f64 angle (PI.f64)) 7))) (.f64 -1/4374000 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (.f64 angle (PI.f64)) 3))))))
(+.f64 (+.f64 (.f64 1/90 (.f64 (PI.f64) (.f64 angle (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 -1/4374000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 3) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (.f64 1/708588000000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 5) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (.f64 -1/241061637600000000 (.f64 (pow.f64 (.f64 angle (PI.f64)) 7) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 -1 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)))
(.f64 (pow.f64 b 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (neg.f64 (pow.f64 b 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 b 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 b 2))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(-.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 b 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 b 2))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(-.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 a 2)) (.f64 -1 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 b 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (pow.f64 b 2))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))
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(+.f64 (-.f64 0 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)) (neg.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 0)
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/90 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/90 angle) 1/2)))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 1/90 angle) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 1/90 angle) 1/2)))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (*.f64 (PI.f64) 1/2)))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2) (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 angle 2/45) 1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (+.f64 (.f64 angle 2/45) -1)) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (+.f64 -1 (.f64 angle 2/45))) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (+.f64 -1/4 (/.f64 (*.f64 angle 2/45) 4)))))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2) (/.f64 (PI.f64) -4)) (-.f64 (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) -2)) (*.f64 (PI.f64) 1/2)))
(.f64 1/90 (.f64 angle (PI.f64)))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (.f64 angle 1/90))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (.f64 (PI.f64) (+.f64 1/2 (.f64 1/90 angle))) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) -4)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 1/90 angle) 1/2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) -4)))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/45))) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/45)))))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 1/2 (+.f64 1 (.f64 angle 1/45))))))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -1)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 2)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 angle 2/45)) 4)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 2 (*.f64 angle 2/45))) 8)
(.f64 1/90 (.f64 angle (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 2/45)) 16)
(.f64 1/90 (.f64 angle (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 1)
(.f64 1/90 (.f64 angle (PI.f64)))
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 0)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 0 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (neg.f64 (neg.f64 (pow.f64 a 2))))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(-.f64 (*.f64 2 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) (neg.f64 (pow.f64 a 2)))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(-.f64 (*.f64 2 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (neg.f64 (pow.f64 a 2)) (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(-.f64 (*.f64 2 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) 2) (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)))
(-.f64 (*.f64 (pow.f64 a 2) 1/2) (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) -2)))
(+.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 b 2) -2))
(+.f64 (pow.f64 a 2) (+.f64 (*.f64 (pow.f64 b 2) -2) (pow.f64 b 2)))
(+.f64 (pow.f64 a 2) (+.f64 (pow.f64 b 2) (*.f64 (pow.f64 b 2) -2)))
(+.f64 (+.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) -2)) (pow.f64 b 2))
(+.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 b 2) -2))
(+.f64 (pow.f64 a 2) (+.f64 (*.f64 (pow.f64 b 2) -2) (pow.f64 b 2)))
(+.f64 (pow.f64 a 2) (+.f64 (pow.f64 b 2) (*.f64 (pow.f64 b 2) -2)))
(+.f64 (-.f64 (pow.f64 b 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (neg.f64 (pow.f64 b 2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (+.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) -2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (/.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) 2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (-.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) 2)))
(+.f64 (/.f64 (pow.f64 b 2) -2) (neg.f64 (-.f64 (/.f64 (pow.f64 b 2) 2) (pow.f64 a 2))))
(+.f64 (/.f64 (pow.f64 b 2) -2) (/.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) 2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (-.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) 2)))
(+.f64 (+.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) -2)) (/.f64 (pow.f64 b 2) -2))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (neg.f64 (neg.f64 (pow.f64 a 2))) (neg.f64 (pow.f64 b 2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) 2) (/.f64 (pow.f64 b 2) -2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (/.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 b 2)) 2))
(+.f64 (/.f64 (pow.f64 b 2) -2) (-.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) 2)))
(+.f64 (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)) (/.f64 (pow.f64 a 2) 2))
(+.f64 (/.f64 (pow.f64 a 2) 2) (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)))
(-.f64 (*.f64 (pow.f64 a 2) 1/2) (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) -2)))
(+.f64 (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)) (neg.f64 (/.f64 (pow.f64 a 2) -2)))
(+.f64 (/.f64 (pow.f64 a 2) 2) (-.f64 (/.f64 (pow.f64 a 2) 2) (pow.f64 b 2)))
(-.f64 (*.f64 (pow.f64 a 2) 1/2) (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) -2)))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) 2)) (neg.f64 (+.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 2) 2))))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(-.f64 (*.f64 2 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (pow.f64 a 2)) (neg.f64 (pow.f64 b 2)))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(-.f64 (*.f64 2 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (-.f64 (*.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))
(+.f64 (*.f64 2 (pow.f64 a 2)) (neg.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2))))
(-.f64 (*.f64 2 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (-.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 (pow.f64 b 2) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 b 2) 3) 2)))
(-.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 b 2) 2) (/.f64 (*.f64 3 (pow.f64 b 2)) 2)))
(-.f64 (+.f64 (pow.f64 a 2) (pow.f64 b 2)) (/.f64 (+.f64 (pow.f64 b 2) (*.f64 3 (pow.f64 b 2))) 2))
(.f64 2 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 1 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 1/2)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 -1 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 1/2 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 1/2 (-.f64 (.f64 (pow.f64 a 2) 4) (*.f64 2 (+.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1/2) 2)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4) 1/4)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 1/4 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4) 1/8)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(/.f64 (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4) 4)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(+.f64 (pow.f64 a 2) (/.f64 (*.f64 (pow.f64 b 2) 4) -4))
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4) 8)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) -4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(+.f64 (pow.f64 a 2) (/.f64 (*.f64 (pow.f64 b 2) 4) -4))
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) -4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(+.f64 (pow.f64 a 2) (/.f64 (*.f64 (pow.f64 b 2) 4) -4))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 b 2) 4) (.f64 (pow.f64 a 2) 4)) -1) 4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(+.f64 (pow.f64 a 2) (/.f64 (*.f64 (pow.f64 b 2) 4) -4))
(/.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) -1) 4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(+.f64 (pow.f64 a 2) (/.f64 (*.f64 (pow.f64 b 2) 4) -4))
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 b 2) 4)) (.f64 (pow.f64 a 2) 4)) 4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(+.f64 (pow.f64 a 2) (/.f64 (*.f64 (pow.f64 b 2) 4) -4))
(pow.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 1)
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))
(neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (pow.f64 a 2) (neg.f64 (pow.f64 b 2)))
(-.f64 (pow.f64 a 2) (pow.f64 b 2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 angle (PI.f64))
✓	0.3b	(.f64 1/90 (.f64 angle (PI.f64)))
✓	5.8b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
✓	21.3b	(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series3.0ms (0%)

Counts

4 → 28

Calls

15 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational_best-simplify-63`
726×	`rational_best-4`
726×	`rational_best-2`
726×	`rational_best-3`
726×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	94	74
2	189	74
3	504	74
4	1773	74

Stop Event

1×	node limit

Counts

4 → 206

Calls

Call 1

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

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

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational_best-simplify-51`
1104×	`rational_best-simplify-1`
1018×	`rational_best-simplify-57`
960×	`rational_best-simplify-55`
874×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	10472
1	1228	9800
2	3413	9358

Stop Event

1×	node limit

Counts

234 → 335

Calls

Call 1

Inputs
(.f64 1/90 (.f64 angle (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 7)))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 5)))))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 0)
(+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (neg.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))))
(+.f64 0 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (neg.f64 (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 1/2) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 1/2))
(+.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2))) 2))
(+.f64 (-.f64 0 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) (neg.f64 (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (.f64 (sin.f64 0) (-.f64 (cos.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (cos.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (neg.f64 (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
(+.f64 (/.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4) (+.f64 (/.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4) (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) 1/2)))
(+.f64 (/.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) 3) 2) 2))
(+.f64 (/.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4) (/.f64 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) 3) 4))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))) (sin.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)))) (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))) (sin.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))) (sin.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))) (sin.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)))) 0))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))) (sin.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))) (sin.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)))) (.f64 (sin.f64 0) (cos.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))))
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(/.f64 (-.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (sin.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (.f64 -2 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))) 2)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4) (cos.f64 0)) 4)
(pow.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 1)
(cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))))
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(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 4) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 4) (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) 1/2))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 4) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 (pow.f64 b 2) 3)) 2) 2))
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(/.f64 (.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4) (*.f64 (pow.f64 b 2) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4)) (.f64 2 (*.f64 (pow.f64 b 2) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 b 2) 4)) (.f64 2 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) 4))) 64)
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(/.f64 (.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 2) (.f64 2 (.f64 (pow.f64 b 2) 4))) 16)
(/.f64 (.f64 (.f64 2 (pow.f64 b 2)) (.f64 2 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4))) 16)
(pow.f64 (.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2)) 1)
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(+.f64 0 (.f64 1/90 (.f64 angle (PI.f64))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))
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(+.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)) (neg.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) -2)))
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(+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2))))
(+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (/.f64 (.f64 (.f64 angle (PI.f64)) 1/30) 2) 2))
(+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (.f64 angle (PI.f64)) 1/30) 4))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (*.f64 angle 1/45) 1)) (/.f64 (PI.f64) -2))
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(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 1/90 (*.f64 angle (PI.f64))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/90 angle))) 2)) (neg.f64 (/.f64 (.f64 1/90 (*.f64 angle (PI.f64))) -2)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (.f64 1/90 (*.f64 angle (PI.f64))))) (/.f64 (PI.f64) -4))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))) 4)) (neg.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/45))) 4)))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))) 4)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))) 4)))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 1/90 (.f64 angle (PI.f64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/90 angle))) 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) -2)))
(-.f64 (.f64 1/90 (.f64 angle (PI.f64))) 0)
(-.f64 0 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2))))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) (/.f64 (PI.f64) -2))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) (/.f64 (.f64 1/90 angle) 2)) (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) -2))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (/.f64 (PI.f64) -4)))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (/.f64 (PI.f64) 4)))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/45) 1/2)) 2) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 1/90 (.f64 angle (PI.f64)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 angle 1/45) 1)) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (-.f64 (neg.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (/.f64 (PI.f64) -4))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 angle (PI.f64)) 1/30) 2) 2) (/.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) -2) 2))
(-.f64 (/.f64 (.f64 (.f64 angle (PI.f64)) 1/30) 4) (/.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 4))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))) 4)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))) 4) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) -2)) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/90 angle))) 2) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (PI.f64) -2))) (-.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (PI.f64) 4)))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 1/90 (.f64 angle (PI.f64))))) (-.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 1/90 (.f64 angle (PI.f64)))) (/.f64 (PI.f64) 4)))
(/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 1)
(/.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))) -1)
(/.f64 (.f64 angle (.f64 (PI.f64) 1/45)) 2)
(/.f64 (.f64 (.f64 angle (PI.f64)) 2/45) 4)
(/.f64 (.f64 (.f64 angle (*.f64 (PI.f64) 2)) 2/45) 8)
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45)))) 2)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 2 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/45))))) 4)
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 2) 4) (.f64 angle 1/45)) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 (+.f64 angle angle) 1/45)) 16)
(/.f64 (.f64 (.f64 (+.f64 angle angle) 1/45) (*.f64 (PI.f64) 4)) 16)
(/.f64 (.f64 (.f64 angle 4) (*.f64 1/90 (PI.f64))) 4)
(/.f64 (.f64 (.f64 angle 1/45) (.f64 (.f64 (PI.f64) 2) 4)) 16)
(pow.f64 (.f64 1/90 (.f64 angle (PI.f64))) 1)
(neg.f64 (neg.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(+.f64 (*.f64 angle (PI.f64)) 0)
(+.f64 0 (*.f64 angle (PI.f64)))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (.f64 angle (.f64 (PI.f64) 1/2)))
(+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (.f64 angle (.f64 (PI.f64) 1/2))))
(+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 2) 2))
(+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4))
(-.f64 (*.f64 angle (PI.f64)) 0)
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (*.f64 angle (PI.f64)) -2))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 angle (PI.f64))) 4))
(-.f64 (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (*.f64 angle (PI.f64)) -2) 2))
(-.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (*.f64 angle (PI.f64))) 4))
(/.f64 (*.f64 angle (PI.f64)) 1)
(/.f64 (.f64 angle (.f64 (PI.f64) 2)) 2)
(/.f64 (.f64 angle (.f64 (PI.f64) 4)) 4)
(/.f64 (.f64 angle (.f64 (*.f64 (PI.f64) 2) 4)) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (*.f64 (PI.f64) 2) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 2) 4) (.f64 2 (*.f64 angle 4))) 64)
(/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 2 (.f64 angle 4))) 16)
(/.f64 (.f64 (+.f64 angle angle) (.f64 (*.f64 (PI.f64) 2) 4)) 16)
(pow.f64 (*.f64 angle (PI.f64)) 1)

Outputs
(.f64 1/90 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/90 angle))
(.f64 angle (.f64 1/90 (PI.f64)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 1/90 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/241061637600000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 -1/4374000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/708588000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (+.f64 (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
(+.f64 (.f64 angle (.f64 1/90 (PI.f64))) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/708588000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/241061637600000000 (pow.f64 (.f64 angle (PI.f64)) 7)))))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (pow.f64 b 2))
(.f64 (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))) (pow.f64 b 2))
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(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (PI.f64)) 4)))
(+.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (*.f64 angle (PI.f64)) 2))
(+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 2) 2))
(*.f64 angle (PI.f64))
(+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4))
(*.f64 angle (PI.f64))
(-.f64 (*.f64 angle (PI.f64)) 0)
(*.f64 angle (PI.f64))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (*.f64 angle (PI.f64)) -2))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 angle (PI.f64))) 4))
(-.f64 (.f64 angle (.f64 (PI.f64) 1/2)) (/.f64 (*.f64 angle (PI.f64)) -2))
(-.f64 (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (*.f64 angle (PI.f64)) -2) 2))
(*.f64 angle (PI.f64))
(-.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (*.f64 angle (PI.f64))) 4))
(*.f64 angle (PI.f64))
(/.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (.f64 (PI.f64) 2)) 2)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (.f64 (PI.f64) 4)) 4)
(*.f64 angle (PI.f64))
(/.f64 (.f64 angle (.f64 (*.f64 (PI.f64) 2) 4)) 8)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 angle 4)) 16)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 (*.f64 (PI.f64) 2) 4)) 64)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 2) 4) (.f64 2 (*.f64 angle 4))) 64)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 2 (.f64 angle 4))) 16)
(*.f64 angle (PI.f64))
(/.f64 (.f64 (+.f64 angle angle) (.f64 (*.f64 (PI.f64) 2) 4)) 16)
(*.f64 angle (PI.f64))
(pow.f64 (*.f64 angle (PI.f64)) 1)
(*.f64 angle (PI.f64))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	5.8b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
✓	21.3b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	21.7b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 77 to 45 computations (41.6% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

15 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	100	84
2	201	84
3	550	84
4	1944	84

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

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

Outputs
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simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1054×	`rational_best-simplify-1`
1028×	`rational_best-simplify-64`
980×	`rational_best-simplify-49`
820×	`rational_best-simplify-57`
816×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	5850
1	1104	5620
2	3100	5440

Stop Event

1×	node limit

Counts

202 → 279

Calls

Call 1

Inputs
1
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Outputs
1
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(-.f64 (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 2) (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) -2))
(-.f64 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -2))
(-.f64 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -2))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) 2) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 b 2)) -2) 0))
(-.f64 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) -2))
(-.f64 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) -2))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)) 1)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (pow.f64 b 2))) 2)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) 4)) 4)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 2 (*.f64 (pow.f64 b 2) 4))) 8)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (*.f64 (pow.f64 b 2) 4)) 16)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) (pow.f64 b 2)) 1)
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(+.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(+.f64 0 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 angle 1/180) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 angle 1/180) 1/2)))
(+.f64 (/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 2) (/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 2))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 8) (+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 8) (/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 2)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 8) (/.f64 (/.f64 (.f64 (.f64 angle (PI.f64)) 1/60) 2) 2))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(+.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 8) (/.f64 (.f64 (.f64 angle (PI.f64)) 1/60) 4))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (*.f64 angle 1/90) 1)) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (*.f64 angle 1/90))) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 1 (*.f64 angle 1/90)))) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (*.f64 angle 1/90) 1)) (neg.f64 (neg.f64 (/.f64 (PI.f64) -2))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (*.f64 angle 1/90))) (/.f64 (PI.f64) -2))
(+.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 1 (*.f64 angle 1/90)))) (/.f64 (PI.f64) -2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/180)))))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) 2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 1/180 angle))) 2)) (neg.f64 (/.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) -4)))
(-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))) 2) (/.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) -4)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2) (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 2)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 4) (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 2)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (.f64 1/180 (*.f64 angle (PI.f64))))) (/.f64 (PI.f64) -4))
(-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/180)))))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) 2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2)) (neg.f64 (/.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2)) -2)))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 angle 1/180) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 angle 1/180) 1/2)))
(+.f64 (-.f64 0 (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) -4)) (neg.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) -4)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) 0)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(-.f64 0 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/180 angle) 1/2))))
(+.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (+.f64 (-.f64 (.f64 angle 1/180) 1/2) 1/2))
(.f64 (PI.f64) (+.f64 1/2 (-.f64 (.f64 angle 1/180) 1/2)))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) (/.f64 (PI.f64) -2))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) -2))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/180)))))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) 2))
(-.f64 (/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 2) (/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) -4))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) (/.f64 (PI.f64) -4)))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) -2))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2) (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)) 2)))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 1/180 (.f64 angle (PI.f64)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) (*.f64 angle 1/180))) (/.f64 (PI.f64) -4)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 (PI.f64) 1/2)) (/.f64 (PI.f64) -4)))
(-.f64 (.f64 (PI.f64) (+.f64 (.f64 angle 1/180) 1/2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) -4)))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) 2) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)) -2) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) -2) (/.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)) 2)))
(-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2) (-.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) -2) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) 2)))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 angle 1/90) 1)) (-.f64 (PI.f64) (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (+.f64 1 (.f64 angle 1/90)))))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 1/2 (+.f64 1 (.f64 angle 1/90))))))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2)))) (/.f64 (PI.f64) -4))
(-.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)) (/.f64 (PI.f64) -2))
(/.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(/.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))) -1)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(/.f64 (.f64 angle (.f64 (PI.f64) 1/90)) 2)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(/.f64 (.f64 (.f64 angle (PI.f64)) 1/45) 4)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(/.f64 (.f64 (.f64 angle (*.f64 (PI.f64) 1/90)) 4) 8)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/90)))) 2)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) 2) (-.f64 1 (.f64 angle 1/90)))) 4)
(/.f64 (-.f64 (.f64 2 (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 1/180 (.f64 angle (PI.f64))) 1)
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(neg.f64 (neg.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	14.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	21.7b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 88 to 61 computations (30.7% saved)

series12.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational_best-2`
1664×	`rational_best-3`
1664×	`rational_best-1`
1660×	`rational_best-4`
1660×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	150	84
2	313	78
3	993	78
4	4265	78

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational_best-simplify-63`
890×	`rational_best-simplify-48`
756×	`rational_best-simplify-67`
746×	`rational_best-simplify-49`
728×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	4989
1	411	4985
2	1032	4949
3	2487	4841

Stop Event

1×	node limit

Counts

81 → 88

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/5832000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/2267481600000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/5832000 (.f64 (pow.f64 angle 3) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 1/2267481600000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/2203992115200000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/5832000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (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 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))) 0)
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))))
(+.f64 (.f64 (.f64 1/180 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) angle))) (.f64 (.f64 1/180 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) angle))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))) 0)
(-.f64 (.f64 (.f64 1/180 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) angle))) (/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90))))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))) 1)
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (*.f64 angle 1/90))))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 4)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))) -1)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (*.f64 angle 1/90))))) -2)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))) (.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (*.f64 angle 1/90))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 16)
(/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 angle 1/90)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) (.f64 2 (.f64 2 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 2 (.f64 (PI.f64) (*.f64 angle 1/90)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (.f64 angle 1/90)))) 4)
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))) 1)
(neg.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (PI.f64) (.f64 angle 1/90)))))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 angle 1/180)))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(-.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 angle 1/90))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 2 (.f64 (PI.f64) (.f64 angle 1/90)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (PI.f64))) (/.f64 (.f64 angle 4) 180)) 16)
(/.f64 (.f64 (/.f64 (.f64 angle 4) 180) (.f64 2 (.f64 2 (PI.f64)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 1/180) (*.f64 angle 4)) 4)
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)

Outputs
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 -1/90 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) angle)))
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(.f64 angle (.f64 -1/90 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (pow.f64 a 2) (PI.f64)))))
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
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(.f64 angle (+.f64 (.f64 -1/90 (.f64 (PI.f64) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (.f64 1/90 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
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(.f64 1/90 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (.f64 (PI.f64) (pow.f64 b 2)) angle)))
(.f64 1/90 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (.f64 angle (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
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(.f64 angle (+.f64 (.f64 -1/90 (.f64 (PI.f64) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (.f64 1/90 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))
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(.f64 angle (+.f64 (.f64 -1/90 (.f64 (PI.f64) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (.f64 1/90 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(.f64 1/90 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) angle)))
(.f64 1/90 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (.f64 (PI.f64) (pow.f64 b 2)) angle)))
(.f64 1/90 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (.f64 angle (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
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(.f64 (PI.f64) (.f64 angle 1/180))
(+.f64 (.f64 (PI.f64) (.f64 angle 1/360)) (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 0)
(.f64 1/180 (.f64 angle (PI.f64)))
(.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 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 (PI.f64) (.f64 angle 1/90)) 2)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 angle 1/90))) 4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 2 (.f64 (PI.f64) (.f64 angle 1/90)))) 8)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(/.f64 (.f64 (.f64 2 (.f64 2 (PI.f64))) (/.f64 (.f64 angle 4) 180)) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (/.f64 (*.f64 angle 4) 180)) 16)
(/.f64 (.f64 4 (.f64 (PI.f64) (/.f64 (*.f64 angle 4) 180))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (/.f64 (*.f64 angle 8) 180)) 32)
(/.f64 (.f64 (.f64 (PI.f64) 8) (/.f64 (*.f64 angle 8) 720)) 16)
(/.f64 (.f64 (/.f64 (.f64 angle 4) 180) (.f64 2 (.f64 2 (PI.f64)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (/.f64 (*.f64 angle 4) 180)) 16)
(/.f64 (.f64 4 (.f64 (PI.f64) (/.f64 (*.f64 angle 4) 180))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (/.f64 (*.f64 angle 8) 180)) 32)
(/.f64 (.f64 (.f64 (PI.f64) 8) (/.f64 (*.f64 angle 8) 720)) 16)
(/.f64 (.f64 (.f64 (PI.f64) 1/180) (*.f64 angle 4)) 4)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))
✓	21.2b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
✓	21.5b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
	21.7b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 169 to 122 computations (27.8% saved)

series12.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))
1.0ms	b	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))
1.0ms	angle	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))
1.0ms	a	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))
1.0ms	angle	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))))))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational_best-2`
1776×	`rational_best-3`
1776×	`rational_best-1`
1774×	`rational_best-4`
1774×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	121
1	157	115
2	336	111
3	1101	97
4	4491	97

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

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

(sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360)))

(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -2 (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360)))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (+.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0)) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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))) (sin.f64 0)) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) 2) (/.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 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(*.f64 angle (*.f64 (PI.f64) 1/360))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 angle (*.f64 (PI.f64) 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (+.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0))) (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (+.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 0))) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 angle (*.f64 (PI.f64) 1/360)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational_best-simplify-55`
978×	`rational_best-simplify-1`
624×	`rational_best-simplify-52`
602×	`rational_best-simplify-48`
568×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	8779
1	851	8565
2	2261	8397

Stop Event

1×	node limit

Counts

165 → 206

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/259200 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
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(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))))
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Outputs
1
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(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/360))) 2)) (/.f64 (cos.f64 0) 4))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) 2)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/360))) 2) 2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) 2)) 4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) 2)) (.f64 2 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) 2))) 8)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(/.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (-.f64 (.f64 angle (.f64 (PI.f64) 1/360)) (*.f64 (PI.f64) 1/2)))) 2)
(/.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)))) 2)
(/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)))) 2)
(pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 angle (*.f64 (PI.f64) 1/360))))
(cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/360))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))))
(.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) (+.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) (+.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 -2 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))) (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) (-.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))) (-.f64 (pow.f64 b 2) (+.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))) (/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 0))))) 2))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) 2))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle)))))) -2))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) -2))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) 4)) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(/.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) -1)
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1/2)
(/.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -8)) 4)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)))) -1)
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1/2)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) 4)) -2)
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1/2)
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) 1/2) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -8)) -2)
(/.f64 (.f64 -8 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) -2)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -8 (.f64 1/2 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))))))) -2)
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 1/2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -8))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) -2)
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1/2)
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -8)) (.f64 (neg.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -8))) 8)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) 4) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 4)) 16)
(/.f64 (.f64 4 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 4 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) 16)
(/.f64 (.f64 4 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 16)
(/.f64 (.f64 4 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 16)
(/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 4) (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) 4)) 16)
(/.f64 (.f64 4 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 4 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) 16)
(/.f64 (.f64 4 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 16)
(/.f64 (.f64 4 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 16)
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(neg.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -1/2)

eval901.0ms (3.7%)

Compiler: Compiled 41557 to 30754 computations (26% saved)

prune746.0ms (3.1%)

Pruning

70 alts after pruning (69 fresh and 1 done)

	Pruned	Kept	Total
New	1304	40	1344
Fresh	7	29	36
Picked	1	0	1
Done	3	1	4
Total	1315	70	1385

Error

27.2b

Counts

1385 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
	51.8b	(.f64 (pow.f64 b 2) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) 2))
	51.8b	(.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2)))
	51.5b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
	51.5b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
	45.8b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
	43.0b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
	43.0b	(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
	50.4b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (+.f64 (-.f64 (*.f64 1/90 angle) 1/2) 1/2))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
✓	41.8b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
	51.7b	(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
	40.8b	(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
	40.8b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	48.9b	(.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	51.8b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	48.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))) 2))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (.f64 2 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) 2))
▶	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
▶	33.6b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
	51.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	52.1b	(.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	40.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	43.1b	(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	52.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/360)) 2)) (+.f64 (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/360)) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/360)) 2)))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
▶	31.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	52.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/360)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2)))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	40.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.8b	(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
	43.0b	(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
	33.6b	(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
	33.5b	(.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	52.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	41.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.7b	(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
	40.8b	(.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	32.2b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (.f64 (PI.f64) 1/2))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))) 2))))
	31.3b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2))))
	31.5b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	40.8b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
	33.6b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	43.0b	(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
	42.0b	(.f64 2 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.7b	(.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.7b	(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.8b	(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	51.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))
	51.6b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2)))))
	41.9b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
	51.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
	42.2b	(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	33.6b	(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
▶	43.0b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
	41.8b	(.f64 -1/90 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) angle)))
▶	41.7b	(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
	51.9b	(neg.f64 (.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	40.8b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
	31.3b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))

Compiler

Compiled 3753 to 3047 computations (18.8% saved)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))))))
✓	21.4b	(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
	21.5b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
	21.7b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 177 to 119 computations (32.8% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))))))
0.0ms	b	@	0	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))))))
0.0ms	b	@	-inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))))))
0.0ms	a	@	inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))))))
0.0ms	a	@	-inf	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))))))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`rational_best-2`
1804×	`rational_best-3`
1804×	`rational_best-1`
1802×	`rational_best-4`
1802×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	172	96
2	352	92
3	1130	78
4	4591	78

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs

(sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64))))

(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -2 (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (+.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0)) (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0)) (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) 2) (/.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) 2) (+.f64 (/.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) 2) (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (/.f64 (*.f64 1/360 (*.f64 angle (PI.f64))) 2)) (cos.f64 (/.f64 (*.f64 1/360 (*.f64 angle (PI.f64))) 2))) (*.f64 (sin.f64 (/.f64 (*.f64 1/360 (*.f64 angle (PI.f64))) 2)) (cos.f64 (/.f64 (*.f64 1/360 (*.f64 angle (PI.f64))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (*.f64 (sin.f64 0) (sin.f64 (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (+.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (+.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0))) (neg.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (+.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (sin.f64 0))) (*.f64 (sin.f64 0) (sin.f64 (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))) 1/2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (*.f64 (*.f64 (PI.f64) (-.f64 1 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simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

904×	`rational_best-simplify-50`
840×	`rational_best-simplify-3`
830×	`rational_best-simplify-62`
762×	`rational_best-simplify-1`
682×	`rational_best-simplify-75`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	7205
1	604	7111
2	1545	6831
3	4932	6831

Stop Event

1×	node limit

Counts

103 → 152

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

Outputs
(.f64 1/360 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/360 (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 1/360 (.f64 angle (PI.f64))) (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.f64 (.f64 angle (.f64 1/360 (PI.f64))) (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)))
(+.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 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (.f64 1/725594112000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (+.f64 (.f64 1/725594112000000 (pow.f64 (.f64 angle (PI.f64)) 5)) (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3))))
(+.f64 (.f64 angle (.f64 1/360 (PI.f64))) (+.f64 (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/725594112000000 (pow.f64 (.f64 angle (PI.f64)) 5))))
(+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (+.f64 (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/725594112000000 (pow.f64 (.f64 angle (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))))))
(+.f64 (+.f64 (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (.f64 1/725594112000000 (pow.f64 (.f64 angle (PI.f64)) 5)))) (.f64 -1/3949553870438400000000 (pow.f64 (.f64 angle (PI.f64)) 7)))
(+.f64 (.f64 -1/279936000 (pow.f64 (.f64 angle (PI.f64)) 3)) (+.f64 (+.f64 (.f64 1/360 (.f64 angle (PI.f64))) (.f64 1/725594112000000 (pow.f64 (.f64 angle (PI.f64)) 5))) (.f64 -1/3949553870438400000000 (pow.f64 (.f64 angle (PI.f64)) 7))))
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(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) -2)
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) (sin.f64 0)) 4) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) 16)
(/.f64 (.f64 (.f64 4 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)))) (.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2))) 16)
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 8) 32)
(/.f64 (.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 8 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) 16)
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 4 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) (.f64 (+.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) (sin.f64 0)) 4)) 16)
(/.f64 (.f64 (.f64 4 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)))) (.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2))) 16)
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8)) 8) 32)
(/.f64 (.f64 4 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 8 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) 16)
(/.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 4 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 8))) 16)
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) (sin.f64 0)))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 2 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)))))
(.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))
(neg.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(neg.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(.f64 (.f64 (+.f64 (sin.f64 0) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
✓	0.2b	(*.f64 (pow.f64 b 2) (PI.f64))
✓	10.1b	(.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series4.0ms (0%)

Counts

3 → 0

Calls

15 calls:

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

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2028×	`rational_best-2`
2028×	`rational_best-3`
2028×	`rational_best-1`
1062×	`rational_best-simplify-80`
844×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	81	63
2	157	63
3	399	63
4	1442	63
5	5852	63

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (*.f64 angle 1/90) 2)) (*.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (*.f64 angle 1/90) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16) (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16) (*.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (*.f64 angle 1/90) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 1/30) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16) (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 1/30) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (*.f64 angle 1/90) 2)) (/.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16) (*.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (*.f64 angle 1/90) 2))) (-.f64 0 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 1/30) 2) 2) (/.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 1/30) 4) (/.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 b 2) 4) (*.f64 angle (*.f64 (PI.f64) 1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (pow.f64 b 2) 4) (*.f64 angle (*.f64 (PI.f64) 1/45))) (*.f64 (*.f64 (pow.f64 b 2) 4) (*.f64 angle (*.f64 (PI.f64) 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 b 2) 4) (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 2 (*.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) 4)) (*.f64 2 (*.f64 angle 1/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle 1/45)) (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) 4))) (*.f64 angle 1/45)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (*.f64 angle 1/45))) (*.f64 (PI.f64) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle (*.f64 (PI.f64) 1/45))) (*.f64 (pow.f64 b 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle 1/45) (*.f64 2 (*.f64 (pow.f64 b 2) (*.f64 (PI.f64) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle (*.f64 (pow.f64 b 2) 4)) (*.f64 (PI.f64) 1/90)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 (pow.f64 b 2) 4)) (*.f64 angle 1/90)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 angle 4) (*.f64 (pow.f64 b 2) 4)) (*.f64 (PI.f64) 1/90)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 1)))))

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational_best-simplify-66`
1098×	`rational_best-simplify-75`
1026×	`rational_best-simplify-76`
972×	`rational_best-simplify-63`
864×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2179
1	552	2097
2	1683	2025
3	4810	2001

Stop Event

1×	node limit

Counts

77 → 93

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 0)
(+.f64 0 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))))
(+.f64 (.f64 (PI.f64) (.f64 (pow.f64 b 2) (/.f64 angle 2))) (.f64 (PI.f64) (.f64 (pow.f64 b 2) (/.f64 angle 2))))
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Outputs
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(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 (pow.f64 b 2) 4)) 16)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (PI.f64) 4))) (.f64 2 (.f64 (pow.f64 b 2) (.f64 (PI.f64) 4)))) 16)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 b 2) 4)) (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 b 2) 4))) 32)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 (pow.f64 b 2) 4))) 64)
(*.f64 (pow.f64 b 2) (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 b 2) 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(*.f64 (pow.f64 b 2) (PI.f64))
(pow.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1)
(*.f64 (pow.f64 b 2) (PI.f64))
(+.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 0)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(+.f64 0 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(+.f64 (.f64 (.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (.f64 angle 1/90) 2)) (.f64 (.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (.f64 angle 1/90) 2)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (.f64 (.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (*.f64 angle 1/90) 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 2) 2))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 2/45)) 16) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/45))) 8) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(/.f64 (+.f64 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/90))) (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30))) 4)
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 2/45)) 16) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/45))) 8) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(/.f64 (+.f64 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/90))) (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30))) 4)
(-.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 0)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(-.f64 (.f64 (.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (.f64 angle 1/90) 2)) (/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90))) -2))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (.f64 (.f64 (pow.f64 b 2) (PI.f64)) (/.f64 (.f64 angle 1/90) 2))) (-.f64 0 (/.f64 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 16)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 2) 2) (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90))) -2) 2))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 2/45)) 16) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/45))) 8) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(/.f64 (+.f64 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/90))) (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30))) 4)
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 4) (/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 b 2) 1/90)))) 4))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 2/45) 16) (/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 angle (PI.f64))) 1/30) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 2/45)) 16) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) (.f64 angle 1/45))) 8) (/.f64 (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30)) 4))
(/.f64 (+.f64 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (PI.f64) 1/90))) (.f64 (pow.f64 b 2) (.f64 (.f64 angle (PI.f64)) 1/30))) 4)
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 1)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))) 2/45) 4)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (pow.f64 b 2) 4) (.f64 angle (.f64 (PI.f64) 1/45))) 8)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 b 2) 4) (.f64 angle (.f64 (PI.f64) 1/45))) (.f64 (.f64 (pow.f64 b 2) 4) (.f64 angle (.f64 (PI.f64) 1/45)))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (pow.f64 b 2) 4) (.f64 2 (.f64 angle (*.f64 (PI.f64) 1/45)))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (pow.f64 b 2) (.f64 (PI.f64) 4)) (.f64 2 (*.f64 angle 1/45))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 2 (.f64 angle 1/45)) (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 4))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 (PI.f64) 4))) (*.f64 angle 1/45)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 b 2) (.f64 angle 1/45))) (*.f64 (PI.f64) 4)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) 1/45))) (*.f64 (pow.f64 b 2) 4)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 angle 1/45) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 4)))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 angle (.f64 (pow.f64 b 2) 4)) (.f64 (PI.f64) 1/90)) 4)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 b 2) 4)) (*.f64 angle 1/90)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(/.f64 (.f64 (.f64 (.f64 angle 4) (.f64 (pow.f64 b 2) 4)) (*.f64 (PI.f64) 1/90)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))
(pow.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90))) 1)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 angle (.f64 (*.f64 (pow.f64 b 2) (PI.f64)) 1/90))
(.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/90)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
✓	0.4b	(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
✓	10.3b	(.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
✓	21.7b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-4`
1208×	`rational_best-2`
1208×	`rational_best-3`
1208×	`rational_best-1`
1206×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	121	115
2	235	115
3	699	115
4	2931	115

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (/.f64 (cos.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 4) (/.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (/.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 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simplify211.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational_best-simplify-1`
1012×	`rational_best-simplify-47`
960×	`rational_best-simplify-63`
922×	`rational_best-simplify-55`
710×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5832
1	759	5780
2	2218	5708
3	7951	5708

Stop Event

1×	node limit

Counts

146 → 140

Calls

Call 1

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	0.3b	(.f64 (PI.f64) (.f64 angle 1/90))
✓	14.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
	21.7b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 77 to 47 computations (39% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
0.0ms	angle	@	0	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
0.0ms	b	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
0.0ms	b	@	-inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
0.0ms	a	@	inf	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational_best-4`
1546×	`rational_best-2`
1546×	`rational_best-3`
1546×	`rational_best-1`
1544×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	141	63
2	275	63
3	807	63
4	3698	63

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational_best-simplify-50`
862×	`rational_best-simplify-85`
832×	`rational_best-simplify-3`
816×	`rational_best-simplify-55`
706×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	4693
1	358	4693
2	882	4657
3	2482	4657
4	5621	4657

Stop Event

1×	node limit

Counts

59 → 66

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(+.f64 (.f64 -1/90 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64))))))
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/5832000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/2267481600000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/5832000 (.f64 (pow.f64 angle 3) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 1/2267481600000 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/2203992115200000000 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 -1/5832000 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3)))))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 0)
(+.f64 0 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 2) (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 2))
(-.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 0)
(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 2) (/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/45)))) 2)
(/.f64 (.f64 (.f64 angle 1/45) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 4)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) -1)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/45)))) -2)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (.f64 (.f64 angle 1/45) (.f64 2 (PI.f64))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) -4)
(/.f64 (+.f64 (.f64 (.f64 angle 1/45) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 (.f64 angle 1/45) (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 (.f64 (.f64 angle 1/45) (.f64 2 (PI.f64))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (*.f64 angle 1/45))))) 16)
(/.f64 (.f64 (.f64 (.f64 angle 1/45) (.f64 2 (PI.f64))) (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))) 16)
(/.f64 (.f64 (.f64 (.f64 (.f64 angle 1/45) (.f64 2 (PI.f64))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 2 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 (.f64 angle 1/45) (*.f64 2 (PI.f64)))) 16)
(/.f64 (.f64 (.f64 (.f64 2 (.f64 2 (PI.f64))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle 1/45)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle 1/45))) (.f64 (.f64 2 (.f64 2 (PI.f64))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (PI.f64) (.f64 angle 1/45)))) (.f64 2 (.f64 2 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))) 16)
(/.f64 (.f64 (.f64 (.f64 angle 1/45) (.f64 2 (PI.f64))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) 4)
(pow.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 1)
(neg.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 angle (.f64 (.f64 (PI.f64) 1/90) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))

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

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
✓	4.2b	(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
	21.3b	(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
✓	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))

Compiler

Compiled 148 to 99 computations (33.1% saved)

series9.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational_best-1`
1368×	`rational_best-4`
1368×	`rational_best-2`
1368×	`rational_best-3`
1368×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	177
1	168	177
2	346	177
3	1085	63
4	5762	63

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(cos.f64 (*.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))

(-.f64 (cos.f64 (*.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2))) (sin.f64 (*.f64 1/90 (*.f64 angle (PI.f64)))))

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

Outputs

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

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

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

simplify208.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

966×	`rational_best-simplify-50`
884×	`rational_best-simplify-3`
862×	`rational_best-simplify-79`
678×	`rational_best-simplify-1`
490×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	9213
1	649	8985
2	1645	7393
3	5926	7367

Stop Event

1×	node limit

Counts

137 → 176

Calls

Call 1

Inputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3))) (.f64 -1/4374000 (pow.f64 (PI.f64) 3))))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
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(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4)))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))) 0))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2)) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) -4))
(-.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -4)) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2)))
(-.f64 (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -2)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -4))
(-.f64 (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 4)))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2)))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2))))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))
(.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) (cos.f64 0)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 2 (.f64 (cos.f64 0) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 1/2)))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) 2)
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))) -1)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) 1/2)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) (/.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) (cos.f64 0)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2)) 1/4)
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2)) (/.f64 (cos.f64 0) 4))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) -1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) 0) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2)) (cos.f64 0)) 4)
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
0
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 4)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) -2)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2))) -4)
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -2)
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (.f64 2 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) -4)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))) -1)
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -1)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (.f64 2 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2))) 16)
(/.f64 (.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (-.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (pow.f64 b 2)))) 4)
(/.f64 (.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (pow.f64 b 2))) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))) 4)
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)

Outputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) (.f64 angle (sin.f64 (*.f64 -1/2 (PI.f64)))))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (*.f64 (PI.f64) angle) -1/90)))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (*.f64 (PI.f64) angle))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) (.f64 angle (sin.f64 (.f64 -1/2 (PI.f64))))))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) angle) -1/90)) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) -1/16200))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2)))) (+.f64 (.f64 -1/90 (.f64 (PI.f64) (.f64 angle (sin.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (*.f64 (PI.f64) angle) 3))))))
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(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 1/4374000 (pow.f64 (.f64 (PI.f64) angle) 3))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (*.f64 (PI.f64) angle) 2))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 1/4374000 (pow.f64 (.f64 (PI.f64) angle) 3)))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) -1/16200))))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 (+.f64 1/2 (.f64 -1/90 angle)) (neg.f64 (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (.f64 angle (+.f64 (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)) (*.f64 (PI.f64) 1/90)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 1/90 (+.f64 (.f64 (PI.f64) (sin.f64 (*.f64 -1/2 (PI.f64)))) (PI.f64))) (neg.f64 angle)))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) (+.f64 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) 1/90) 1/90)) (neg.f64 angle)))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) (+.f64 1/90 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) 1/90))) (neg.f64 angle)))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2)))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (.f64 angle (+.f64 (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)) (*.f64 (PI.f64) 1/90))))))
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(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (.f64 (PI.f64) angle) 2))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) (+.f64 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) 1/90) 1/90)) (neg.f64 angle))))
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(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3))) (.f64 -1/4374000 (pow.f64 (PI.f64) 3))))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
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(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 -1/90 (.f64 (PI.f64) angle)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (.f64 -1/90 (*.f64 (PI.f64) angle)))))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2)) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) -4))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(-.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -4)) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(-.f64 (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -2)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) -4))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(-.f64 (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 4) (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 4)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)) 2))))
(cos.f64 (+.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)))
(cos.f64 (/.f64 (.f64 (-.f64 (.f64 angle 1/90) 1/2) (+.f64 (PI.f64) (PI.f64))) 2))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) (cos.f64 0)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (cos.f64 0))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 2 (.f64 (cos.f64 0) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 1/2)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) 2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))) -1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) 1/2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) (/.f64 (cos.f64 0) 2))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) (cos.f64 0)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2)) 1/4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2)) (/.f64 (cos.f64 0) 4))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) -1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2) 2)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) 4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))) 8)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) 0) 4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2)) (cos.f64 0)) 4)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1)
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
0
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(+.f64 0 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 0)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 4)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) -2)
(/.f64 (.f64 (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2))) -4)
(/.f64 (.f64 (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -2)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (.f64 2 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) -4)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))) -1)
(/.f64 (.f64 (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) 8)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (.f64 2 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) 16)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (.f64 2 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) 2))) 16)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(/.f64 (.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (-.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (pow.f64 b 2)))) 4)
(/.f64 (.f64 (neg.f64 (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90))))) (-.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (pow.f64 b 2)))) 4)
(/.f64 (.f64 -1 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 4)
(/.f64 (.f64 4 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) 4)
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))))
(/.f64 (.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (pow.f64 b 2))) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2))) 4)
(/.f64 (.f64 (neg.f64 (.f64 2 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90))))) (-.f64 (.f64 2 (pow.f64 a 2)) (.f64 2 (pow.f64 b 2)))) 4)
(/.f64 (.f64 -1 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 4)
(/.f64 (.f64 4 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))) 4)
(.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (neg.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))))
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))

eval854.0ms (3.5%)

Compiler: Compiled 49708 to 36323 computations (26.9% saved)

prune513.0ms (2.1%)

Pruning

87 alts after pruning (83 fresh and 4 done)

	Pruned	Kept	Total
New	1247	32	1279
Fresh	13	51	64
Picked	1	0	1
Done	1	4	5
Total	1262	87	1349

Error

27.1b

Counts

1349 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
	43.0b	(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
	43.0b	(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
	51.8b	(.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2)))
	51.5b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
	51.5b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
	43.0b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
	50.4b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (+.f64 (-.f64 (*.f64 1/90 angle) 1/2) 1/2))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
✓	41.8b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
	51.7b	(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
	40.8b	(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
	51.9b	(.f64 (pow.f64 a 2) (neg.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))
	40.8b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	48.9b	(.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	51.8b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	48.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))) 2))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (.f64 2 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) 2))
	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	48.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2)))
	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	31.5b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2)) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	31.5b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
▶	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90)))) 2)))
	52.4b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2))) 2)))
	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2))) 2)))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2))) 2)))
	52.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2)))
	31.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
	51.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	52.1b	(.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	51.8b	(.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) (pow.f64 b 2))
	40.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	40.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -4 (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	52.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	52.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/360 angle) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
▶	31.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
✓	31.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))) 1)
	52.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/360)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.9b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2)))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	40.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.8b	(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (pow.f64 b 2)) 4)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.8b	(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
	41.9b	(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
	33.6b	(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
	52.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	41.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.7b	(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
	32.2b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (.f64 (PI.f64) 1/2))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))) 2))))
	31.3b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2))))
▶	31.5b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	40.8b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
▶	54.1b	(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
	41.9b	(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
	33.6b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	43.0b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
	42.0b	(.f64 2 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.7b	(.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.7b	(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.8b	(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	51.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))
	51.6b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2)))))
	41.9b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
	51.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
	42.2b	(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	43.0b	(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
✓	43.0b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
	41.8b	(.f64 -1/90 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))) 2))
	44.6b	(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))))
✓	41.7b	(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
	41.9b	(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
▶	41.9b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	51.9b	(.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))))))
	51.9b	(neg.f64 (.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	40.8b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
	31.3b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))

Compiler

Compiled 4892 to 3969 computations (18.9% saved)

localize98.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	21.1b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))
	21.4b	(sin.f64 (.f64 1/360 (.f64 angle (PI.f64))))
	21.5b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/360)))
✓	21.6b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))

Compiler

Compiled 256 to 174 computations (32% 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	@	0	(sin.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	@	-inf	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/360)))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`rational_best-simplify-63`
712×	`rational_best-4`
712×	`rational_best-2`
712×	`rational_best-3`
712×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	76	38
2	170	38
3	470	38
4	1691	38

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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((#(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))) (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))) (neg.f64 (neg.f64 (*.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 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (sin.f64 0)) 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simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational_best-simplify-55`
1066×	`rational_best-simplify-47`
706×	`rational_best-simplify-51`
682×	`rational_best-simplify-64`
632×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	7844
1	876	7380
2	2301	6732

Stop Event

1×	node limit

Counts

180 → 223

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 a 2) (PI.f64))
✓	0.4b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
✓	10.3b	(.f64 angle (.f64 (pow.f64 a 2) (PI.f64)))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series3.0ms (0%)

Counts

3 → 0

Calls

15 calls:

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

rewrite125.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2028×	`rational_best-2`
2028×	`rational_best-3`
2028×	`rational_best-1`
1062×	`rational_best-simplify-80`
844×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	81	63
2	157	63
3	399	63
4	1442	63
5	5852	63

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 angle -1/90) 2)) (*.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 angle -1/90) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16) (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16) (*.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 angle -1/90) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/30) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16) (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/30) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 angle -1/90) 2)) (/.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16) (*.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 angle -1/90) 2))) (-.f64 0 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/30) 2) 2) (/.f64 (/.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -1/30) 4) (/.f64 (neg.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 angle (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 angle (*.f64 (PI.f64) -1/45))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 angle (*.f64 (PI.f64) -1/45))) (*.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 angle (*.f64 (PI.f64) -1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 2 (*.f64 angle (*.f64 (PI.f64) -1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4)) (*.f64 2 (*.f64 angle -1/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle -1/45)) (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4))) (*.f64 angle -1/45)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 angle -1/45))) (*.f64 (PI.f64) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 angle (*.f64 (PI.f64) -1/45))) (*.f64 (pow.f64 a 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle -1/45) (*.f64 2 (*.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 angle (*.f64 (pow.f64 a 2) 4)) (*.f64 (PI.f64) -1/90)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 (pow.f64 a 2) 4)) (*.f64 angle -1/90)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 angle 4) (*.f64 (pow.f64 a 2) 4)) (*.f64 (PI.f64) -1/90)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle (*.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)))))

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

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational_best-simplify-66`
1100×	`rational_best-simplify-75`
1030×	`rational_best-simplify-76`
948×	`rational_best-simplify-63`
860×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2179
1	552	2097
2	1675	2025
3	4784	2001

Stop Event

1×	node limit

Counts

77 → 93

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 0)
(+.f64 0 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))))
(+.f64 (.f64 (PI.f64) (.f64 (pow.f64 a 2) (/.f64 angle 2))) (.f64 (PI.f64) (.f64 (pow.f64 a 2) (/.f64 angle 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4) (.f64 (PI.f64) (.f64 (pow.f64 a 2) (/.f64 angle 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4) (/.f64 (/.f64 (.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 3))) 2) 2))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4) (/.f64 (.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 3))) 4))
(-.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 0)
(-.f64 (.f64 (PI.f64) (.f64 (pow.f64 a 2) (/.f64 angle 2))) (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4) (.f64 (PI.f64) (.f64 (pow.f64 a 2) (/.f64 angle 2)))) (-.f64 0 (/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 4)))
(-.f64 (/.f64 (/.f64 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (PI.f64) 3))) 2) 2) (/.f64 (/.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2) 2))
(-.f64 (/.f64 (.f64 angle (.f64 (pow.f64 a 2) (.f64 (PI.f64) 3))) 4) (/.f64 (neg.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64)))) 4))
(/.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64)))) 2)
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) (*.f64 angle 4))) 4)
(/.f64 (.f64 angle (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4)))) 8)
(/.f64 (.f64 (.f64 angle 4) (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4))) 16)
(/.f64 (+.f64 (.f64 angle (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4)))) (.f64 angle (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4))))) 16)
(/.f64 (+.f64 (.f64 (.f64 angle 4) (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4))) (.f64 (.f64 angle 4) (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4)))) 32)
(/.f64 (.f64 (.f64 2 (.f64 angle 4)) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) 4)) (.f64 (PI.f64) (.f64 2 (.f64 angle 4)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 (pow.f64 a 2) (.f64 2 (.f64 angle 4)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4))) (.f64 2 (.f64 angle 4))) 64)
(/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 2 (.f64 angle 4))) (.f64 2 (.f64 (PI.f64) 4))) 64)
(/.f64 (.f64 (.f64 (PI.f64) (.f64 2 (.f64 angle 4))) (.f64 2 (.f64 (pow.f64 a 2) 4))) 64)
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 a 2) 4)) angle) 16)
(/.f64 (.f64 (.f64 (.f64 angle 4) (.f64 (PI.f64) 4)) (pow.f64 a 2)) 16)
(/.f64 (.f64 (.f64 (.f64 angle 4) (.f64 (pow.f64 a 2) 4)) (PI.f64)) 16)
(pow.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) 1)
(+.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)
(+.f64 0 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))))
(+.f64 (.f64 (.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 angle -1/90) 2)) (.f64 (.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 angle -1/90) 2)))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45) 16) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45) 16) (.f64 (.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 angle -1/90) 2))))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45) 16) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/30) 2) 2))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45) 16) (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/30) 4))
(-.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 0)
(-.f64 (.f64 (.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 angle -1/90) 2)) (/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) -2))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -2/45) 16) (.f64 (.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 angle -1/90) 2))) (-.f64 0 (/.f64 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 16)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/30) 2) 2) (/.f64 (/.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) -2) 2))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64))) -1/30) 4) (/.f64 (neg.f64 (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90)))) 4))
(/.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)
(/.f64 (.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))) -2/45) 4)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
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(/.f64 (.f64 (.f64 2 (.f64 angle -1/45)) (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4))) (*.f64 angle -1/45)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 angle -1/45))) (*.f64 (PI.f64) 4)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 2 (.f64 angle (.f64 (PI.f64) -1/45))) (*.f64 (pow.f64 a 2) 4)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 angle -1/45) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4)))) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 angle (.f64 (pow.f64 a 2) 4)) (.f64 (PI.f64) -1/90)) 4)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 a 2) 4)) (*.f64 angle -1/90)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(/.f64 (.f64 (.f64 (.f64 angle 4) (.f64 (pow.f64 a 2) 4)) (*.f64 (PI.f64) -1/90)) 16)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(pow.f64 (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90))) 1)
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 angle (.f64 (pow.f64 a 2) (*.f64 (PI.f64) -1/90)))
(+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 0 (*.f64 (pow.f64 a 2) (PI.f64)))
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)))
(*.f64 (/.f64 (PI.f64) 2) (+.f64 (pow.f64 a 2) (pow.f64 a 2)))
(*.f64 (/.f64 (pow.f64 a 2) 2) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 a 2) (/.f64 (+.f64 (PI.f64) (PI.f64)) 2))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (*.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2))))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 4)))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 2))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (/.f64 (/.f64 (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 3)) 2) 2))
(*.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (/.f64 (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 3)) 4))
(*.f64 (pow.f64 a 2) (PI.f64))
(-.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 0)
(*.f64 (pow.f64 a 2) (PI.f64))
(-.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) -2))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 4)))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 2))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2))) (-.f64 0 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 4)))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 4) (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 4)))
(+.f64 (.f64 (pow.f64 a 2) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 3)) 2) 2) (/.f64 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) -2) 2))
(*.f64 (pow.f64 a 2) (PI.f64))
(-.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 3)) 4) (/.f64 (neg.f64 (*.f64 (pow.f64 a 2) (PI.f64))) 4))
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 2 (pow.f64 a 2))) 2)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4)) 4)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 2 (.f64 (pow.f64 a 2) (*.f64 (PI.f64) 4))) 8)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 (pow.f64 a 2) 4)) 16)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4))) (.f64 2 (.f64 (pow.f64 a 2) (.f64 (PI.f64) 4)))) 16)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 a 2) 4)) (.f64 (.f64 (PI.f64) 4) (.f64 (pow.f64 a 2) 4))) 32)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (*.f64 (pow.f64 a 2) 4))) 64)
(*.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 a 2) 4)) (.f64 2 (*.f64 (PI.f64) 4))) 64)
(*.f64 (pow.f64 a 2) (PI.f64))
(pow.f64 (*.f64 (pow.f64 a 2) (PI.f64)) 1)
(*.f64 (pow.f64 a 2) (PI.f64))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	2.7b	(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
✓	58.2b	(cos.f64 (*.f64 -1/2 (PI.f64)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best-simplify-63`
774×	`rational_best-2`
774×	`rational_best-3`
774×	`rational_best-1`
772×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	103	56
2	193	56
3	528	56
4	2027	56

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 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))) 2) (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2) (/.f64 (sin.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 3) 2) 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))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 0) 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))) 2) (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) -4)) (neg.f64 (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) -4)))))) (#(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))) 2) (*.f64 -1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (PI.f64) -4)) (cos.f64 (/.f64 (PI.f64) -4))) (*.f64 (sin.f64 (/.f64 (PI.f64) -4)) (sin.f64 (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (PI.f64) -4)) (cos.f64 (/.f64 (PI.f64) -4))) (+.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) -4)) (sin.f64 (/.f64 (PI.f64) -4))) 0))))) (#(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 0) (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)))))) (#(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))) 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))) (sin.f64 0)))))) (#(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))) (sin.f64 0)))))) (#(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 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0)) (/.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 1/4 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4))))) (#(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) (/.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2)) 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 (cos.f64 (*.f64 -1/2 (PI.f64))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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))) (sin.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 2) (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0)) (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify187.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best-simplify-55`
804×	`rational_best-simplify-47`
684×	`rational_best-simplify-65`
650×	`rational_best-simplify-108`
574×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	4655
1	571	4541
2	1734	4187
3	7946	4097

Stop Event

1×	node limit

Counts

115 → 136

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (.f64 -1/2 (PI.f64))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 b 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 (pow.f64 b 2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
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(cos.f64 (*.f64 -1/2 (PI.f64)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 0)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 0 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -4) (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -4))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 8) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3/2) 2) 2))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 8) (/.f64 (.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3/2) 4))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 8)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3)) 8)
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 8) (/.f64 (.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3/2) 4))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 8)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -3)) 8)
(-.f64 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 0)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -4) (/.f64 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -2))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -4) (+.f64 (/.f64 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -2) 0))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 1)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -2)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2)) -1)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) 4)) -8)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 4)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -4)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 4)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4)) 8)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) -32)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0))) 8)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 8)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (*.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 16)
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0))) -8)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -8)
(/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) 16)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 2) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) -16)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) 4)) -2) 16)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0))) -2) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0)) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) -8)
(/.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (sin.f64 0))) 2) 4)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 8)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (*.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) 16)
(/.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) -8)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0))) -4)
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 0)) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) -4)
(/.f64 (.f64 (.f64 -1/2 (cos.f64 (.f64 -1/2 (PI.f64)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) -2)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 -1/2 (PI.f64)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(/.f64 (.f64 (.f64 -1/2 (cos.f64 (.f64 -1/2 (PI.f64)))) (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) 4)) -4)
(/.f64 (.f64 (.f64 -1/2 (cos.f64 (.f64 -1/2 (PI.f64)))) (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2)))) -2)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 -1/2 (PI.f64)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))) -2)
(pow.f64 (.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) 1)
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(neg.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2)))
(.f64 -1/2 (.f64 (cos.f64 (*.f64 -1/2 (PI.f64))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) -1/2))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	11.9b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
	21.4b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	21.7b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Compiler

Compiled 99 to 65 computations (34.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`rational_best-2`
1460×	`rational_best-3`
1460×	`rational_best-1`
1452×	`rational_best-4`
1452×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	159	73
2	337	73
3	1013	73
4	3786	73

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-63`
984×	`rational_best-simplify-1`
934×	`rational_best-simplify-3`
758×	`rational_best-simplify-55`
494×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	5331
1	372	5209
2	837	4305
3	2018	4231
4	6169	4231

Stop Event

1×	node limit

Counts

55 → 64

Calls

Call 1

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

Outputs
(.f64 1/90 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))
(.f64 1/90 (.f64 (PI.f64) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) angle)))
(.f64 (.f64 angle (PI.f64)) (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/90))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 2 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/11664000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 (PI.f64) 3)))))))
(+.f64 (.f64 1/90 (.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) angle))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 (PI.f64) 3) -1/8748000)) (*.f64 (pow.f64 angle 3) 2)))
(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (.f64 2 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (pow.f64 (PI.f64) 3) -1/8748000)))))
(-.f64 (.f64 (.f64 angle (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/90)) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/8748000) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 angle 3))) -1/2))
(+.f64 (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) -1/8748000)))))
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(+.f64 (.f64 1/90 (.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) angle))) (+.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 (PI.f64) 3) -1/8748000)) (.f64 (pow.f64 angle 3) 2)) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/2267481600000 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) 1/3779136000000))) (.f64 (pow.f64 angle 5) 2))))
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(+.f64 (.f64 (.f64 angle (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/90)) (.f64 2 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/8748000) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 angle 3))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) 1/1417176000000))))))
(+.f64 (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/8748000)) (.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) 1/1417176000000))))))
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(+.f64 (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64)))) (+.f64 (.f64 2 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/11664000 (pow.f64 (PI.f64) 3)) (.f64 -1/34992000 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 2 (.f64 (pow.f64 angle 7) (.f64 (+.f64 (.f64 -1/4407984230400000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/881596846080000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/1469328076800000000 (pow.f64 (PI.f64) 7)) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7))))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (.f64 2 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/2267481600000 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/22674816000000 (pow.f64 (PI.f64) 5)) (*.f64 1/4534963200000 (pow.f64 (PI.f64) 5))))))))))
(+.f64 (+.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/2267481600000 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) 1/3779136000000))) (.f64 (pow.f64 angle 5) 2)) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (+.f64 (.f64 -1/4407984230400000000 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/881596846080000000) (.f64 (pow.f64 (PI.f64) 7) -11/15427944806400000000))) (pow.f64 angle 7))))) (+.f64 (.f64 1/90 (.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) angle))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 (PI.f64) 3) -1/8748000)) (.f64 (pow.f64 angle 3) 2))))
(+.f64 (.f64 2 (+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 7) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -11/15427944806400000000) (.f64 (pow.f64 (PI.f64) 7) -1/734664038400000000)))) (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 (PI.f64) 3) -1/8748000))))) (+.f64 (.f64 2 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 1/2267481600000 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) 1/3779136000000))))) (.f64 1/90 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))))))
(+.f64 (.f64 (.f64 angle (PI.f64)) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 1/90)) (+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/1417176000000) (.f64 2 (pow.f64 angle 5)))) (.f64 2 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/8748000) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 angle 3))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 7) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -11/15427944806400000000) (*.f64 (pow.f64 (PI.f64) 7) -1/734664038400000000))))))))
(+.f64 (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 2 (+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/8748000))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) 1/1417176000000)) (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) -1/482123275200000000)))))))
(+.f64 (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 2 (+.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/8748000))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) -1/482123275200000000)) (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) 1/1417176000000)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
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(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
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(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
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(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
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(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
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(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
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(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 4 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))) 4)
(/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 4) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 16)
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 4) (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 4) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 16)
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4))) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))) 16)
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 4) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 4)) 16)
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) 4)) 16)
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 angle 1/90) (+.f64 (.f64 angle 1/90) -1)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4)) 4)
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (+.f64 (cos.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (-.f64 (.f64 1/90 angle) (.f64 1/90 angle)) 1))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))))) 4)
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 4) (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2))))) 4)
(/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 4 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))) 4)
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (cos.f64 (.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 angle 1/90) (+.f64 (.f64 angle 1/90) -1)))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -1)
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (-.f64 (.f64 1/90 angle) (.f64 1/90 angle)) 1))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) 1)
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
(.f64 2 (.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 2 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.2b	(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
	21.3b	(sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))
	21.9b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
✓	56.5b	(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))

Compiler

Compiled 159 to 110 computations (30.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational_best-simplify-63`
854×	`rational_best-4`
854×	`rational_best-2`
854×	`rational_best-3`
854×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	101	74
2	214	74
3	627	20
4	2751	20

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))

Outputs

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

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

simplify149.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-1`
842×	`rational_best-simplify-50`
778×	`rational_best-simplify-81`
726×	`rational_best-simplify-108`
656×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	3624
1	478	3422
2	1169	3360
3	4312	3078

Stop Event

1×	node limit

Counts

98 → 134

Calls

Call 1

Inputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3))) (.f64 -1/4374000 (pow.f64 (PI.f64) 3))))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 0)
(+.f64 0 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(+.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2)))
(+.f64 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2)) (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 1/2)))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4))) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4))) 0))
(+.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2))
(+.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)))) (neg.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (*.f64 angle 1/45)) 4)))))
(-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 0)
(-.f64 0 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))
(-.f64 0 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))))
(-.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (/.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (-.f64 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2)))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2)))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 0 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 1/2)))))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (+.f64 (-.f64 0 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))))
(-.f64 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 1/2))
(-.f64 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2)) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (-.f64 0 (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2)))
(-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2))) (.f64 3 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2)))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2)))
(.f64 1/2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))
(.f64 1/2 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 1)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 2 (cos.f64 0)))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (-.f64 2 (.f64 (cos.f64 0) (cos.f64 0))))
(.f64 1 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (/.f64 (cos.f64 0) 2)))
(.f64 2 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (/.f64 (cos.f64 0) 2))))
(.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) -1)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) 1/2)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (/.f64 (cos.f64 0) 2))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (-.f64 1 (/.f64 (cos.f64 0) 2)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (-.f64 (cos.f64 0) 1/2))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (-.f64 (cos.f64 0) (/.f64 (cos.f64 0) 2)))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) 1/4)
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (/.f64 (cos.f64 0) 4))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (-.f64 1/2 (/.f64 (cos.f64 0) 4)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (-.f64 (/.f64 (cos.f64 0) 2) 1/4))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4) (-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 0) 4)))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1/2) (*.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 1/4 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4))
(.f64 (.f64 (cos.f64 0) 2) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 1/2))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4)) 1/8)
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4)) (/.f64 (cos.f64 0) 8))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (/.f64 (cos.f64 0) 2)) 2)
(.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (+.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (.f64 angle 1/45)) 4)) (sin.f64 (/.f64 (.f64 (PI.f64) (*.f64 angle 1/45)) 4))))
(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) -1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4)) 8)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2) -1) 2)
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)
(neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
0

Outputs
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) angle) (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) -1/90)))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (*.f64 (PI.f64) angle) -1/90)))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (*.f64 (PI.f64) angle))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) angle) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) -1/90))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2)))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) angle) -1/90)) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) -1/16200))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (PI.f64)))) (+.f64 (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2)))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (.f64 (PI.f64) angle) 3))) (.f64 (.f64 (PI.f64) angle) (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) -1/90)))))
(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (.f64 (PI.f64) angle) 2))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 (PI.f64) angle) -1/90)) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (*.f64 (PI.f64) angle) 3) 1/4374000)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 1/4374000 (pow.f64 (.f64 (PI.f64) angle) 3)))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (*.f64 (PI.f64) angle) 2) -1/16200))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (.f64 (PI.f64) angle) 2))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (.f64 1/4374000 (pow.f64 (*.f64 (PI.f64) angle) 3))))))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64)))
(cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/90 angle) 1/2) (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (*.f64 -1/90 angle)) -1)))
(cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle)))))
(cos.f64 (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (.f64 angle (+.f64 (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)) (*.f64 (PI.f64) 1/90)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (.f64 1/90 (+.f64 (.f64 (PI.f64) (sin.f64 (*.f64 -1/2 (PI.f64)))) (PI.f64))) (neg.f64 angle)))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 angle (neg.f64 (.f64 (PI.f64) (+.f64 1/90 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) 1/90))))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (cos.f64 (*.f64 -1/2 (PI.f64)))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)) (.f64 (PI.f64) 1/90)))) (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2))))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (.f64 (PI.f64) angle) 2))) (.f64 (.f64 1/90 (+.f64 (.f64 (PI.f64) (sin.f64 (*.f64 -1/2 (PI.f64)))) (PI.f64))) (neg.f64 angle))))
(+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (+.f64 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) -1/16200)) (.f64 angle (neg.f64 (.f64 (PI.f64) (+.f64 1/90 (.f64 (sin.f64 (*.f64 -1/2 (PI.f64))) 1/90)))))))
(+.f64 (.f64 angle (neg.f64 (.f64 (PI.f64) (+.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90))))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(+.f64 (.f64 -1/16200 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (cos.f64 (.f64 -1/2 (PI.f64)))))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (PI.f64))) (.f64 1/90 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3))) (.f64 -1/4374000 (pow.f64 (PI.f64) 3))))) (cos.f64 (*.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 angle 2)))) (+.f64 (.f64 -1 (.f64 angle (+.f64 (.f64 (PI.f64) (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)) (.f64 (PI.f64) 1/90)))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (.f64 (pow.f64 angle 3) (+.f64 (.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (PI.f64) 3) -1/4374000)))))))
(+.f64 (.f64 -1/16200 (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (.f64 (PI.f64) angle) 2))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (+.f64 (.f64 (pow.f64 angle 3) (.f64 -1/4374000 (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))) (.f64 angle (.f64 1/90 (+.f64 (.f64 (PI.f64) (sin.f64 (.f64 -1/2 (PI.f64)))) (PI.f64))))))))
(+.f64 (.f64 -1 (+.f64 (.f64 angle (.f64 (PI.f64) (+.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)))) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) -1/4374000) -1/4374000))))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (pow.f64 (.f64 (PI.f64) angle) 2) -1/16200))))
(+.f64 (neg.f64 (+.f64 (.f64 angle (.f64 (PI.f64) (+.f64 1/90 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) 1/90)))) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (+.f64 -1/4374000 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) -1/4374000)))))) (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (.f64 -1/16200 (pow.f64 (*.f64 (PI.f64) angle) 2)))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (.f64 -1/90 angle)) -1))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (.f64 -1/90 angle)) -1))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (.f64 -1/90 angle)) -1))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/90 angle) 1/2) (PI.f64)))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(-.f64 (cos.f64 (.f64 (PI.f64) (.f64 (+.f64 1/2 (.f64 -1/90 angle)) -1))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))
(-.f64 (cos.f64 (.f64 (PI.f64) (neg.f64 (+.f64 1/2 (.f64 -1/90 angle))))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))
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(/.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) -1)
(+.f64 (-.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (-.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))
(neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 2) 2)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) 4) 4)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2) -2)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 4)) 8)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) -2) -1) 2)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 1)
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
(neg.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90)))))
(+.f64 (-.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2))
(-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) -2) (-.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle))) (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))
(neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle))))
(sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))
0

eval1.2s (5%)

Compiler: Compiled 71447 to 53416 computations (25.2% saved)

prune579.0ms (2.4%)

Pruning

100 alts after pruning (94 fresh and 6 done)

	Pruned	Kept	Total
New	1431	27	1458
Fresh	11	67	78
Picked	0	1	1
Done	3	5	8
Total	1445	100	1545

Error

27.0b

Counts

1545 → 100

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
	41.9b	(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
	43.0b	(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
	41.9b	(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
	43.0b	(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
	51.8b	(.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2)))
	51.5b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
	51.5b	(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
	43.0b	(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
	41.7b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
✓	41.8b	(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
	51.7b	(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
	40.8b	(.f64 (pow.f64 a 2) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
	52.5b	(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
	51.9b	(.f64 (pow.f64 a 2) (neg.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))
	40.8b	(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
	48.9b	(.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	51.8b	(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	54.1b	(.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2))) (-.f64 0 (neg.f64 (sin.f64 0)))) 2) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
	54.1b	(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2)))) 2) (.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
	48.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))) 2))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (.f64 2 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) 2))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	51.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
	51.9b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (cos.f64 (/.f64 (.f64 (-.f64 (.f64 angle 1/90) 1/2) (+.f64 (PI.f64) (PI.f64))) 2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
	31.5b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
	31.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
✓	52.2b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90)))) 2)))
	52.4b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2))) 2)))
	52.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2))) 2)))
	52.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
	51.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
	31.3b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
	51.8b	(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
	52.1b	(.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	51.8b	(.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) (pow.f64 b 2))
	40.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	40.8b	(.f64 (.f64 (pow.f64 a 2) (.f64 -4 (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.9b	(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
	52.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	52.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/360 angle) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/360))))) 2) (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))))))
	31.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)))) (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))))))
	31.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2))) 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
	31.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))
	31.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/360) 1/2)))))))
	32.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
✓	31.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))) 1)
	52.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/360)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	31.9b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	41.7b	(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) 2))
	40.8b	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.8b	(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (pow.f64 b 2)) 4)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	33.6b	(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
	52.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
	41.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	41.7b	(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
	32.2b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)))
	32.2b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (.f64 (PI.f64) 1/2))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))) 2))))
	31.3b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2))))
	31.7b	(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))))
	31.4b	(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
	40.8b	(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
	53.1b	(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
	41.9b	(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
	33.6b	(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
	43.0b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
	41.9b	(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
	42.0b	(.f64 2 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.7b	(.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.7b	(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	41.8b	(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	51.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))
	51.6b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2)))))
	41.9b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
	51.8b	(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
	42.2b	(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
	43.0b	(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
✓	43.0b	(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
	41.8b	(.f64 -1/90 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))) 2))
	41.9b	(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
	44.6b	(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))))
✓	41.7b	(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
✓	41.9b	(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
	51.9b	(neg.f64 (.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	52.0b	(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	51.8b	(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
	40.8b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
	31.3b	(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))

Compiler

Compiled 2994 to 2431 computations (18.8% saved)

regimes620.0ms (2.5%)

Counts

144 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (+.f64 (-.f64 (*.f64 1/90 angle) 1/2) 1/2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(.f64 -1/90 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) angle)))
(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))))
(.f64 -1/90 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))) 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
(.f64 (pow.f64 a 2) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2))) (-.f64 0 (neg.f64 (sin.f64 0)))) 2) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2)))) 2) (.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))) 1)
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (/.f64 (.f64 (.f64 angle 4) (/.f64 (*.f64 (PI.f64) 4) 180)) 16)))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))
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(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/360))))) 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2))) 2)) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (sin.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2)) (cos.f64 (/.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)) 2))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))

Outputs

(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -2 (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))))))) (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/360)))) (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/360))) (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))))))

Calls

10 calls:

66.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
65.0ms	angle
64.0ms	(/.f64 angle 180)
62.0ms	b
62.0ms	a

Results

Error	Segments	Branch
31.1b	1	`a`
31.1b	1	`b`
31.1b	1	`angle`
31.1b	1	`(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))`
31.1b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
31.1b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
31.1b	1	`(pow.f64 b 2)`
31.1b	1	`(pow.f64 a 2)`
31.1b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
31.1b	1	`(/.f64 angle 180)`

Compiler

Compiled 3875 to 2847 computations (26.5% saved)

regimes581.0ms (2.4%)

Counts

136 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (+.f64 (-.f64 (*.f64 1/90 angle) 1/2) 1/2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(.f64 -1/90 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) angle)))
(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))))
(.f64 -1/90 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))) 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
(.f64 (pow.f64 a 2) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2))) (-.f64 0 (neg.f64 (sin.f64 0)))) 2) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2)))) 2) (.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))) 1)
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (/.f64 (.f64 (.f64 angle 4) (/.f64 (*.f64 (PI.f64) 4) 180)) 16)))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (pow.f64 b 2)) 4)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (pow.f64 a 2) (.f64 -4 (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2)))
(.f64 (pow.f64 a 2) (neg.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))
(.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))))))
(.f64 2 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) 2))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2)))))
(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(neg.f64 (.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (.f64 2 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) 2))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))) 2))
(.f64 (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 1/2 (.f64 angle 1/360)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))
(.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2)) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))))) 2))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180)))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))) 2)))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/360 angle) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/360) 1/2)))) 2))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (-.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) (cos.f64 (/.f64 (.f64 (-.f64 (.f64 angle 1/90) 1/2) (+.f64 (PI.f64) (PI.f64))) 2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (/.f64 (+.f64 (cos.f64 (-.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (.f64 (PI.f64) 1/2))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 angle 1/180))))) 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) 1) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/360))))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) 2)) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(.f64 (/.f64 (-.f64 (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (.f64 (cos.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/360)) 2)) (+.f64 (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/360)) 2)) (sin.f64 (/.f64 (.f64 angle (.f64 (PI.f64) 1/360)) 2)))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Outputs

(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -2 (neg.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/360))) (sin.f64 (*.f64 1/360 (*.f64 angle (PI.f64)))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Calls

10 calls:

64.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
62.0ms	a
61.0ms	(/.f64 angle 180)
60.0ms	angle
59.0ms	b

Results

Error	Segments	Branch
31.2b	1	`a`
31.2b	1	`b`
31.2b	1	`angle`
31.2b	1	`(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))`
31.2b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
31.2b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
31.2b	1	`(pow.f64 b 2)`
31.2b	1	`(pow.f64 a 2)`
31.2b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
31.2b	1	`(/.f64 angle 180)`

Compiler

Compiled 3386 to 2486 computations (26.6% saved)

regimes441.0ms (1.8%)

Counts

107 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (+.f64 (-.f64 (*.f64 1/90 angle) 1/2) 1/2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(.f64 -1/90 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) angle)))
(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))))
(.f64 -1/90 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))) 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
(.f64 (pow.f64 a 2) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2))) (-.f64 0 (neg.f64 (sin.f64 0)))) 2) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2)))) 2) (.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))) 1)
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (/.f64 (.f64 (.f64 angle 4) (/.f64 (*.f64 (PI.f64) 4) 180)) 16)))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (pow.f64 b 2)) 4)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (pow.f64 a 2) (.f64 -4 (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2)))
(.f64 (pow.f64 a 2) (neg.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))
(.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))))))
(.f64 2 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) 2))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2)))))
(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))
(neg.f64 (.f64 (+.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))

Outputs

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

Calls

10 calls:

48.0ms	(/.f64 angle 180)
47.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
46.0ms	b
46.0ms	a
45.0ms	angle

Results

Error	Segments	Branch
31.2b	1	`a`
31.2b	1	`b`
31.2b	1	`angle`
31.2b	1	`(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))`
31.2b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
31.2b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
31.2b	1	`(pow.f64 b 2)`
31.2b	1	`(pow.f64 a 2)`
31.2b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
31.2b	1	`(/.f64 angle 180)`

Compiler

Compiled 2185 to 1580 computations (27.7% saved)

regimes408.0ms (1.7%)

Counts

101 → 1

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))
(.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 angle (PI.f64))))
(.f64 (PI.f64) (.f64 1/90 (*.f64 angle (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 1/90 angle) 1/2)))))
(.f64 2 (.f64 1 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (+.f64 (-.f64 (*.f64 1/90 angle) 1/2) 1/2))))
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))
(.f64 -1/90 (.f64 (.f64 (PI.f64) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 a 2) angle)))
(.f64 (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 angle 1/90))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (PI.f64) (.f64 1/90 angle)) (.f64 -1/4374000 (pow.f64 (*.f64 angle (PI.f64)) 3))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
(.f64 -1/90 (.f64 (.f64 angle (PI.f64)) (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))))
(.f64 -1/90 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 2 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))) 2))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (+.f64 (/.f64 (.f64 angle (PI.f64)) 4) (/.f64 (.f64 angle (*.f64 (PI.f64) 3)) 4)))))
(.f64 (pow.f64 b 2) (sin.f64 (+.f64 (/.f64 (.f64 1/90 (.f64 angle (PI.f64))) 4) (/.f64 (.f64 (*.f64 angle (PI.f64)) 1/30) 4))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))
(.f64 2 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (pow.f64 b 2) (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) -2)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (*.f64 (pow.f64 b 2) 2))
(.f64 (.f64 (pow.f64 a 2) (.f64 -2 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (pow.f64 a 2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) -2))
(.f64 (pow.f64 a 2) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) -2))
(.f64 (.f64 angle (.f64 (PI.f64) (.f64 1/90 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (PI.f64) (.f64 angle 1/90))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (+.f64 (.f64 -1/4374000 (pow.f64 (.f64 angle (PI.f64)) 3)) (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/180) 1/2)))))))
(.f64 2 (.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) 2)))
(.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2))) (-.f64 0 (neg.f64 (sin.f64 0)))) 2) (*.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/2)) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (neg.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 3) 2)))) 2) (.f64 -1/2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (+.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (cos.f64 (.f64 (PI.f64) (-.f64 (*.f64 angle 1/90) 1/2))))) -2)
(.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2))))))
(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/360))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))) 1)
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (/.f64 (.f64 (.f64 angle 4) (/.f64 (*.f64 (PI.f64) 4) 180)) 16)))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (+.f64 (-.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 a 2) 2)) (neg.f64 (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 2) 2))))))
(neg.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 -4 (.f64 (pow.f64 a 2) (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (cos.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/360 (PI.f64)))) (pow.f64 b 2)) 4)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (pow.f64 a 2) (.f64 -4 (.f64 (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/360 (.f64 angle (PI.f64))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(.f64 (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (-.f64 (.f64 1/90 angle) 1/2) (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))))) (pow.f64 b 2))
(.f64 (pow.f64 b 2) (-.f64 (sin.f64 (.f64 angle (.f64 1/90 (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64))))) 2)))
(.f64 (pow.f64 a 2) (neg.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))))))))
(.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/90))) (.f64 1/2 (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 angle 1/90) 1/2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))))))
(.f64 2 (.f64 (/.f64 (-.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (cos.f64 (.f64 (PI.f64) (-.f64 1 (.f64 angle 1/180))))) 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 (pow.f64 b 2) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) 2) (-.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) 2))
(.f64 2 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/2) (/.f64 (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 1/180 angle) 1/2))) 2)))))
(neg.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 (PI.f64) (.f64 angle 1/180)) (.f64 (PI.f64) (-.f64 (.f64 angle 1/180) 1/2)))) (cos.f64 (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 angle 1/180)) 1/2)))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90)))) 2)))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))) 2)))

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

Calls

10 calls:

45.0ms	(/.f64 angle 180)
44.0ms	b
43.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
43.0ms	a
42.0ms	angle

Results

Error	Segments	Branch
31.2b	1	`a`
31.2b	1	`b`
31.2b	1	`angle`
31.2b	1	`(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))`
31.2b	1	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
31.2b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
31.2b	1	`(pow.f64 b 2)`
31.2b	1	`(pow.f64 a 2)`
31.2b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
31.2b	1	`(/.f64 angle 180)`

Compiler

Compiled 1993 to 1444 computations (27.5% saved)

regimes95.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
31.3b	1	`a`
31.3b	1	`b`
31.3b	1	`angle`
31.3b	1	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
31.3b	1	`(pow.f64 b 2)`
31.3b	1	`(pow.f64 a 2)`

Compiler

Compiled 435 to 308 computations (29.2% saved)

regimes194.0ms (0.8%)

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

45.0ms	a
45.0ms	angle
44.0ms	b
22.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
17.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
32.5b	3	`a`
32.5b	3	`b`
31.3b	3	`angle`
31.5b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.6b	1	`(pow.f64 b 2)`
32.5b	2	`(pow.f64 a 2)`

Compiler

Compiled 421 to 298 computations (29.2% saved)

bsearch94.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.442467788439427e-5	0.1364415236039433
54.0ms	-129533534064523.84	-1.2226463861592906e-6

Results

68.0ms	304×	body	256	valid
20.0ms	86×	body	256	infinite

Compiler

Compiled 678 to 566 computations (16.5% saved)

regimes177.0ms (0.7%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

41.0ms	b
41.0ms	angle
40.0ms	a
20.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
17.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
32.5b	3	`a`
32.5b	3	`b`
31.4b	3	`angle`
31.5b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.6b	1	`(pow.f64 b 2)`
32.5b	2	`(pow.f64 a 2)`

Compiler

Compiled 366 to 256 computations (30.1% saved)

bsearch99.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	2.5305213177858938e-30	5.5004038041302616e-17
53.0ms	-129533534064523.84	-1.2226463861592906e-6

Results

75.0ms	336×	body	256	valid
17.0ms	81×	body	256	infinite

Compiler

Compiled 716 to 594 computations (17% saved)

regimes166.0ms (0.7%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

38.0ms	a
38.0ms	angle
38.0ms	b
19.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
16.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
32.5b	3	`a`
32.5b	3	`b`
31.4b	3	`angle`
31.5b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.6b	1	`(pow.f64 b 2)`
32.5b	2	`(pow.f64 a 2)`

Compiler

Compiled 340 to 239 computations (29.7% saved)

bsearch92.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	2.5305213177858938e-30	5.5004038041302616e-17
46.0ms	-6.263035369354801e-17	-1.19448025484234e-27

Results

69.0ms	320×	body	256	valid
17.0ms	71×	body	256	infinite

Compiler

Compiled 682 to 566 computations (17% saved)

regimes160.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

37.0ms	angle
37.0ms	a
37.0ms	b
19.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
15.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
32.5b	3	`a`
32.5b	3	`b`
31.4b	3	`angle`
31.5b	2	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
33.6b	1	`(pow.f64 b 2)`
32.5b	2	`(pow.f64 a 2)`

Compiler

Compiled 327 to 231 computations (29.4% saved)

bsearch93.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	2.5305213177858938e-30	5.5004038041302616e-17
47.0ms	-6.263035369354801e-17	-1.19448025484234e-27

Results

71.0ms	320×	body	256	valid
16.0ms	73×	body	256	infinite

Compiler

Compiled 662 to 556 computations (16% saved)

regimes176.0ms (0.7%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

67.0ms	angle
34.0ms	a
34.0ms	b
19.0ms	(pow.f64 a 2)
13.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
34.1b	3	`a`
34.1b	3	`b`
35.6b	6	`angle`
34.3b	2	`(pow.f64 b 2)`
34.4b	2	`(pow.f64 a 2)`

Compiler

Compiled 291 to 206 computations (29.2% saved)

bsearch108.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	3.6649753101095866e-89	1.0744866868240397e-83
44.0ms	-6.112397493234868e-56	-4.292831944202803e-58

Results

40.0ms	190×	body	256	valid
23.0ms	35×	body	1024	valid
19.0ms	5×	body	4096	valid
12.0ms	11×	body	2048	valid
9.0ms	15×	body	512	valid

Compiler

Compiled 496 to 426 computations (14.1% saved)

regimes163.0ms (0.7%)

Counts

24 → 3

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))

Outputs

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

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

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

Calls

5 calls:

62.0ms	angle
32.0ms	a
31.0ms	b
17.0ms	(pow.f64 a 2)
12.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
34.1b	3	`a`
34.2b	3	`b`
35.7b	6	`angle`
34.4b	2	`(pow.f64 b 2)`
34.4b	2	`(pow.f64 a 2)`

Compiler

Compiled 268 to 191 computations (28.7% saved)

bsearch100.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	3.6649753101095866e-89	1.0744866868240397e-83
44.0ms	-6.112397493234868e-56	-4.292831944202803e-58

Results

35.0ms	161×	body	256	valid
32.0ms	48×	body	1024	valid
15.0ms	36×	body	512	valid
10.0ms	10×	body	2048	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 496 to 426 computations (14.1% saved)

regimes160.0ms (0.7%)

Counts

23 → 4

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))

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

Calls

5 calls:

60.0ms	angle
31.0ms	a
30.0ms	b
22.0ms	(pow.f64 a 2)
12.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
35.0b	3	`a`
35.0b	3	`b`
36.2b	6	`angle`
35.1b	2	`(pow.f64 b 2)`
34.3b	4	`(pow.f64 a 2)`

Compiler

Compiled 257 to 183 computations (28.8% saved)

bsearch121.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
38.0ms	1.1042141226287167e+121	3.757627314367969e+122
39.0ms	1.2788635337867067e+97	5.159355979746807e+98
44.0ms	1.8428406101168018e-115	3.73614031153039e-111

Results

48.0ms	239×	body	256	valid
36.0ms	60×	body	1024	valid
17.0ms	43×	body	512	valid
10.0ms	9×	body	2048	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 582 to 488 computations (16.2% saved)

regimes153.0ms (0.6%)

Counts

22 → 4

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (*.f64 1/90 (PI.f64)))))

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

Calls

5 calls:

56.0ms	angle
29.0ms	a
29.0ms	b
21.0ms	(pow.f64 a 2)
11.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
35.0b	3	`a`
35.1b	3	`b`
36.3b	6	`angle`
35.2b	2	`(pow.f64 b 2)`
34.3b	4	`(pow.f64 a 2)`

Compiler

Compiled 247 to 176 computations (28.7% saved)

bsearch125.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
40.0ms	1.1042141226287167e+121	3.757627314367969e+122
43.0ms	1.2788635337867067e+97	5.159355979746807e+98
42.0ms	1.8428406101168018e-115	3.73614031153039e-111

Results

47.0ms	238×	body	256	valid
41.0ms	69×	body	1024	valid
15.0ms	33×	body	512	valid
12.0ms	11×	body	2048	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 582 to 488 computations (16.2% saved)

regimes148.0ms (0.6%)

Counts

21 → 4

Calls

Call 1

Inputs
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))
(.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))
(.f64 angle (.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 a 2) -1/90)))
(.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))
(.f64 (PI.f64) (.f64 (*.f64 angle (pow.f64 a 2)) -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 a 2)) (*.f64 angle -1/90))
(.f64 (.f64 (PI.f64) (pow.f64 b 2)) (*.f64 1/90 angle))
(.f64 (.f64 (pow.f64 a 2) (PI.f64)) (*.f64 angle -1/90))
(.f64 (pow.f64 b 2) (.f64 1/90 (*.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (.f64 (PI.f64) (*.f64 1/90 angle)))
(/.f64 (.f64 angle (.f64 (pow.f64 b 2) (*.f64 (PI.f64) 1/45))) 2)
(/.f64 (.f64 (.f64 (pow.f64 a 2) 4) (.f64 angle (.f64 (PI.f64) -1/45))) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 a 2) (*.f64 angle -1/45)))) 16)
(/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 2 (.f64 (pow.f64 b 2) (*.f64 angle 1/45)))) 16)
(.f64 (cos.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1/2 (pow.f64 b 2)))
(.f64 (pow.f64 a 2) (.f64 1/2 (cos.f64 (*.f64 -1/2 (PI.f64)))))
(.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64)))))

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

Calls

5 calls:

54.0ms	angle
29.0ms	a
28.0ms	b
20.0ms	(pow.f64 a 2)
10.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
35.1b	3	`a`
35.2b	3	`b`
36.4b	6	`angle`
35.2b	2	`(pow.f64 b 2)`
34.4b	4	`(pow.f64 a 2)`

Compiler

Compiled 237 to 169 computations (28.7% saved)

bsearch133.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
41.0ms	1.1042141226287167e+121	3.757627314367969e+122
44.0ms	1.2788635337867067e+97	5.159355979746807e+98
47.0ms	1.8428406101168018e-115	3.73614031153039e-111

Results

47.0ms	222×	body	256	valid
44.0ms	71×	body	1024	valid
19.0ms	19×	body	2048	valid
15.0ms	39×	body	512	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 582 to 488 computations (16.2% saved)

regimes135.0ms (0.6%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

5 calls:

51.0ms	angle
27.0ms	a
26.0ms	b
15.0ms	(pow.f64 a 2)
10.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
36.2b	3	`a`
36.1b	3	`b`
37.2b	6	`angle`
36.1b	2	`(pow.f64 b 2)`
36.6b	2	`(pow.f64 a 2)`

Compiler

Compiled 227 to 163 computations (28.2% saved)

bsearch109.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	3.0825192800606933e-46	3.484599690980261e-31
56.0ms	-1.4785831471028526e-53	-3.8284116183409615e-56

Results

43.0ms	202×	body	256	valid
34.0ms	48×	body	1024	valid
11.0ms	28×	body	512	valid
8.0ms	8×	body	2048	valid
8.0ms	2×	body	4096	valid

Compiler

Compiled 500 to 422 computations (15.6% saved)

regimes88.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	angle
16.0ms	a
15.0ms	b
11.0ms	(pow.f64 a 2)
9.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
36.2b	3	`a`
36.1b	3	`b`
37.2b	6	`angle`
36.1b	2	`(pow.f64 b 2)`
36.6b	2	`(pow.f64 a 2)`

Compiler

Compiled 117 to 82 computations (29.9% saved)

bsearch119.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	3.0825192800606933e-46	3.484599690980261e-31
50.0ms	-1.4785831471028526e-53	-3.8284116183409615e-56

Results

41.0ms	186×	body	256	valid
34.0ms	49×	body	1024	valid
17.0ms	16×	body	2048	valid
14.0ms	35×	body	512	valid
8.0ms	2×	body	4096	valid

Compiler

Compiled 500 to 422 computations (15.6% saved)

regimes68.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	angle
13.0ms	a
12.0ms	b
8.0ms	(pow.f64 a 2)
6.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
36.2b	3	`a`
36.1b	3	`b`
37.2b	6	`angle`
36.1b	2	`(pow.f64 b 2)`
36.6b	2	`(pow.f64 a 2)`

Compiler

Compiled 90 to 64 computations (28.9% saved)

bsearch113.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	3.0825192800606933e-46	3.484599690980261e-31
51.0ms	-1.4785831471028526e-53	-3.8284116183409615e-56

Results

40.0ms	181×	body	256	valid
38.0ms	59×	body	1024	valid
14.0ms	35×	body	512	valid
13.0ms	12×	body	2048	valid
4.0ms	1×	body	4096	valid

Compiler

Compiled 500 to 422 computations (15.6% saved)

regimes66.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	angle
13.0ms	a
13.0ms	b
8.0ms	(pow.f64 a 2)
5.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
36.2b	3	`a`
36.1b	3	`b`
37.2b	6	`angle`
36.1b	2	`(pow.f64 b 2)`
36.6b	2	`(pow.f64 a 2)`

Compiler

Compiled 81 to 58 computations (28.4% saved)

bsearch111.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	3.0825192800606933e-46	3.484599690980261e-31
49.0ms	-1.4785831471028526e-53	-3.8284116183409615e-56

Results

43.0ms	189×	body	256	valid
35.0ms	56×	body	1024	valid
18.0ms	17×	body	2048	valid
11.0ms	26×	body	512	valid

Compiler

Compiled 500 to 422 computations (15.6% saved)

regimes54.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	angle
10.0ms	a
10.0ms	b
7.0ms	(pow.f64 a 2)
6.0ms	(pow.f64 b 2)

Results

Error	Segments	Branch
36.2b	3	`a`
36.1b	3	`b`
37.2b	6	`angle`
36.1b	2	`(pow.f64 b 2)`
36.6b	2	`(pow.f64 a 2)`

Compiler

Compiled 63 to 47 computations (25.4% saved)

bsearch112.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	3.0825192800606933e-46	3.484599690980261e-31
52.0ms	-1.4785831471028526e-53	-3.8284116183409615e-56

Results

42.0ms	199×	body	256	valid
30.0ms	44×	body	1024	valid
20.0ms	18×	body	2048	valid
11.0ms	26×	body	512	valid
4.0ms	1×	body	4096	valid

Compiler

Compiled 500 to 422 computations (15.6% saved)

regimes15.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	b
3.0ms	angle
3.0ms	a
3.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
41.9b	1	`a`
41.9b	1	`b`
41.9b	1	`angle`
41.9b	1	`(pow.f64 a 2)`

Compiler

Compiled 48 to 36 computations (25% saved)

regimes12.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	angle
3.0ms	b
3.0ms	a
2.0ms	(pow.f64 a 2)

Results

Error	Segments	Branch
41.9b	1	`a`
41.9b	1	`b`
41.9b	1	`angle`
41.9b	1	`(pow.f64 a 2)`

Compiler

Compiled 39 to 30 computations (23.1% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	2294

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(if (<=.f64 angle -1733885856537641/2251799813685248) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))) (if (<=.f64 angle 1261007895663739/18014398509481984) (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 angle 1/90)) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))))))
(if (<=.f64 angle -3242591731706757/36028797018963968) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))) (if (<=.f64 angle 8924260225606735/162259276829213363391578010288128) (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 angle 1/90)) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(if (<=.f64 angle -2515018790852807/40564819207303340847894502572032) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))) (if (<=.f64 angle 8924260225606735/162259276829213363391578010288128) (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(if (<=.f64 angle -2515018790852807/40564819207303340847894502572032) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (if (<=.f64 angle 8924260225606735/162259276829213363391578010288128) (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))))
(if (<=.f64 a -2484628684844603/55213970774324510299478046898216203619608871777363092441300193790394368) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (pow.f64 a 2))) (if (<=.f64 a 5194720471359653/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))))
(if (<=.f64 a -4593802368423799/7067388259113537318333190002971674063309935587502475832486424805170479104) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (pow.f64 a 2))) (if (<=.f64 a 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))))
(if (<=.f64 (pow.f64 a 2) 5822606357653711/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (if (<=.f64 (pow.f64 a 2) 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (if (<=.f64 (pow.f64 a 2) 11499999999999999340008895496894905162162341849174296559813520117001172067417522957797039235104011544051446156433819697152) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) -1/90)))))
(if (<=.f64 (pow.f64 a 2) 8318009082362445/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) (if (<=.f64 (pow.f64 a 2) 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (if (<=.f64 (pow.f64 a 2) 11200000000000000234738568688829355556854797220863883563025858926160875791344969602590216888912876939257202664053200125952) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) -1/90)))))
(if (<=.f64 (pow.f64 a 2) 5767152963771295/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (if (<=.f64 (pow.f64 a 2) 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (if (<=.f64 (pow.f64 a 2) 11200000000000000234738568688829355556854797220863883563025858926160875791344969602590216888912876939257202664053200125952) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) -1/90)))))
(if (<=.f64 b -3147196334136497/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (.f64 1/90 angle)) (if (<=.f64 b 1608507319692837/784637716923335095479473677900958302012794430558004314112) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -8454639274818441/862718293348820473429344482784628181556388621521298319395315527974912) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 7599808514120695/11692013098647223345629478661730264157247460343808) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -3666552746732487/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 8091576455771893/6129982163463555433433388108601236734474956488734408704) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))))
(if (<=.f64 b -7453886054533809/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3294865412861661/766247770432944429179173513575154591809369561091801088) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))))
(if (<=.f64 b -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 4315507443078343/392318858461667547739736838950479151006397215279002157056) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))

Outputs
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/360)))) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/360))) (sin.f64 (.f64 1/360 (*.f64 angle (PI.f64)))))))
(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/360))) (sin.f64 (.f64 1/360 (.f64 angle (PI.f64)))))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (-.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 (.f64 -1/90 (.f64 (PI.f64) angle)))) (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90)))) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (-.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/90))))
(if (<=.f64 angle -1733885856537641/2251799813685248) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))) (if (<=.f64 angle 1261007895663739/18014398509481984) (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 angle 1/90)) (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 (.f64 (PI.f64) (-.f64 (.f64 1/90 angle) 1/2)))))))
(if (<=.f64 angle -3242591731706757/36028797018963968) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))) (if (<=.f64 angle 8924260225606735/162259276829213363391578010288128) (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 angle 1/90)) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(if (<=.f64 angle -2515018790852807/40564819207303340847894502572032) (.f64 (neg.f64 (pow.f64 a 2)) (sin.f64 (.f64 (PI.f64) (/.f64 (+.f64 angle angle) 180)))) (if (<=.f64 angle 8924260225606735/162259276829213363391578010288128) (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle))))))
(if (<=.f64 angle -2515018790852807/40564819207303340847894502572032) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (.f64 angle (PI.f64)))))) (if (<=.f64 angle 8924260225606735/162259276829213363391578010288128) (.f64 1/90 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (*.f64 1/90 angle))))))
(if (<=.f64 a -2484628684844603/55213970774324510299478046898216203619608871777363092441300193790394368) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (pow.f64 a 2))) (if (<=.f64 a 5194720471359653/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (.f64 (pow.f64 a 2) (neg.f64 (sin.f64 (.f64 1/90 (*.f64 angle (PI.f64))))))))
(if (<=.f64 a -4593802368423799/7067388259113537318333190002971674063309935587502475832486424805170479104) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/90))) (pow.f64 a 2))) (if (<=.f64 a 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/90))) (pow.f64 a 2)))))
(if (<=.f64 (pow.f64 a 2) 5822606357653711/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 (pow.f64 b 2) (sin.f64 (.f64 (PI.f64) (.f64 1/90 angle)))) (if (<=.f64 (pow.f64 a 2) 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (if (<=.f64 (pow.f64 a 2) 11499999999999999340008895496894905162162341849174296559813520117001172067417522957797039235104011544051446156433819697152) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) -1/90)))))
(if (<=.f64 (pow.f64 a 2) 8318009082362445/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (pow.f64 b 2) (sin.f64 (.f64 angle (.f64 1/90 (PI.f64))))) (if (<=.f64 (pow.f64 a 2) 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (if (<=.f64 (pow.f64 a 2) 11200000000000000234738568688829355556854797220863883563025858926160875791344969602590216888912876939257202664053200125952) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) -1/90)))))
(if (<=.f64 (pow.f64 a 2) 5767152963771295/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (if (<=.f64 (pow.f64 a 2) 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (if (<=.f64 (pow.f64 a 2) 11200000000000000234738568688829355556854797220863883563025858926160875791344969602590216888912876939257202664053200125952) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/90 (.f64 angle (PI.f64))))) (.f64 (PI.f64) (.f64 (.f64 angle (pow.f64 a 2)) -1/90)))))
(if (<=.f64 b -3147196334136497/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 (.f64 (PI.f64) (pow.f64 b 2)) (.f64 1/90 angle)) (if (<=.f64 b 1608507319692837/784637716923335095479473677900958302012794430558004314112) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -8454639274818441/862718293348820473429344482784628181556388621521298319395315527974912) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 7599808514120695/11692013098647223345629478661730264157247460343808) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 angle (.f64 (PI.f64) (*.f64 (pow.f64 b 2) 1/90)))))
(if (<=.f64 b -3666552746732487/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 8091576455771893/6129982163463555433433388108601236734474956488734408704) (.f64 angle (.f64 (PI.f64) (.f64 (pow.f64 a 2) -1/90))) (.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))))
(if (<=.f64 b -7453886054533809/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 3294865412861661/766247770432944429179173513575154591809369561091801088) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/90 (.f64 (pow.f64 b 2) (*.f64 angle (PI.f64))))))
(if (<=.f64 b -8627182933488205/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 1/90 (.f64 angle (.f64 (pow.f64 b 2) (PI.f64)))) (if (<=.f64 b 4315507443078343/392318858461667547739736838950479151006397215279002157056) (.f64 -1/90 (.f64 (pow.f64 a 2) (.f64 angle (PI.f64)))) (.f64 1/90 (.f64 angle (*.f64 (pow.f64 b 2) (PI.f64))))))
(.f64 -1/90 (.f64 (pow.f64 a 2) (*.f64 angle (PI.f64))))
(.f64 -1/90 (.f64 (PI.f64) (*.f64 angle (pow.f64 a 2))))
(.f64 -1/90 (.f64 angle (*.f64 (pow.f64 a 2) (PI.f64))))

Compiler

Compiled 840 to 638 computations (24% saved)

soundness108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational_best-simplify-1`
1022×	`rational_best-simplify-52`
976×	`rational_best-simplify-63`
956×	`rational_best-simplify-48`
904×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	8926
1	955	8814
2	2859	7732

Stop Event

1×	node limit

Compiler

Compiled 439 to 330 computations (24.8% saved)

end628.0ms (2.6%)

Compiler: Compiled 777 to 540 computations (30.5% saved)