Metrics for b from scale-rotated-ellipse

analyze6.5s (4.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 189 to 125 computations (33.9% saved)

sample1.3min (50.8%)

Results

33.4s	3732×	body	4096	valid
28.8s	1582×	body	8192	valid
10.5s	1859×	body	2048	valid
2.2s	621×	body	1024	valid
542.0ms	213×	body	512	valid
219.0ms	37×	body	2048	infinite
137.0ms	131×	body	256	valid
123.0ms	37×	body	1024	infinite
83.0ms	8×	body	4096	infinite
29.0ms	15×	body	512	infinite
21.0ms	21×	body	256	infinite
19.0ms	1×	body	8192	exit

Bogosity

preprocess121.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
1260×	`associate-r`
1186×	`associate-l`
720×	`*-commutative`
524×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	9424
1	1656	8888
2	7331	8852

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 a) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 a) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 a) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 a) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 (neg.f64 a) 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (neg.f64 b) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (neg.f64 b) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (neg.f64 b) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (neg.f64 b) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 (neg.f64 b) 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 (neg.f64 x-scale) y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (neg.f64 x-scale)) (neg.f64 x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (neg.f64 x-scale)) (neg.f64 x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (neg.f64 x-scale)) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 (neg.f64 x-scale) y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale (neg.f64 y-scale)) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (neg.f64 y-scale)) (neg.f64 y-scale))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (neg.f64 y-scale)) (neg.f64 y-scale))) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) (neg.f64 y-scale)) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale (neg.f64 y-scale)) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 a b) (.f64 a (neg.f64 b)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 a b) (.f64 a (neg.f64 b)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 a b) (.f64 a (neg.f64 b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b angle) (.f64 b (neg.f64 angle)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b angle) (.f64 b (neg.f64 angle)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b angle) (.f64 b (neg.f64 angle)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b x-scale) (.f64 b (neg.f64 x-scale)))) (pow.f64 (.f64 a y-scale) 2))) (.f64 (.f64 b x-scale) (.f64 b (neg.f64 x-scale)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 x-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) a) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b x-scale) (.f64 b (neg.f64 x-scale)))) (pow.f64 (*.f64 a y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b y-scale) (.f64 b (neg.f64 y-scale)))) (pow.f64 (.f64 x-scale a) 2))) (.f64 (.f64 b y-scale) (.f64 b (neg.f64 y-scale)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 y-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) a) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b y-scale) (.f64 b (neg.f64 y-scale)))) (pow.f64 (*.f64 x-scale a) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (pow.f64 (.f64 b y-scale) 2))) (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) b) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (pow.f64 (*.f64 b y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (pow.f64 (.f64 x-scale b) 2))) (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 y-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) b) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (pow.f64 (*.f64 x-scale b) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 angle y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 angle y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale angle) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale x-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) x-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) 2)))

Outputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (/.f64 4 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) 2) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 a (.f64 a (.f64 b (neg.f64 b)))) (.f64 (/.f64 (.f64 8 (.f64 a (.f64 a (.f64 b (neg.f64 b))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale)))))))) (.f64 a (.f64 a (*.f64 b (neg.f64 b)))))))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 a (.f64 a (.f64 b (neg.f64 b)))) (.f64 (/.f64 (.f64 8 (.f64 a (.f64 a (.f64 b (neg.f64 b))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b)))) y-scale)))))))) (.f64 a (.f64 a (.f64 b (neg.f64 b)))))))
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(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (/.f64 4 (/.f64 (pow.f64 (.f64 x-scale angle) 2) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 angle angle))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 angle angle))) 2) (pow.f64 (/.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180))))) (.f64 x-scale angle)) 2))))))) (.f64 4 (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (pow.f64 (.f64 x-scale angle) 2))
(.f64 (pow.f64 (.f64 x-scale angle) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 b a) (.f64 (.f64 b (neg.f64 a)) (/.f64 (.f64 8 (.f64 a (.f64 a (.f64 b (neg.f64 b))))) (pow.f64 (.f64 x-scale angle) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 angle angle)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 angle angle))) (.f64 (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) angle) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) x-scale))))))) (.f64 a (.f64 a (*.f64 b (neg.f64 b)))))))
(.f64 (pow.f64 (.f64 x-scale angle) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 b a) (.f64 (.f64 b (neg.f64 a)) (/.f64 (.f64 8 (.f64 a (.f64 a (.f64 b (neg.f64 b))))) (pow.f64 (.f64 x-scale angle) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 angle angle)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 angle angle))) (/.f64 (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))) (/.f64 (.f64 x-scale angle) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180))))))))))) (.f64 a (.f64 a (.f64 b (neg.f64 b)))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale x-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) x-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) 2)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (/.f64 4 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (.f64 x-scale y-scale)) 2) (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale))) 2)))))))) (.f64 4 (.f64 b (.f64 (neg.f64 a) (.f64 b a))))) (pow.f64 (.f64 x-scale y-scale) 2))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 a (.f64 a (.f64 b (neg.f64 b)))) (.f64 (/.f64 (.f64 8 (.f64 a (.f64 a (.f64 b (neg.f64 b))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (.f64 (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale))))))))) (.f64 a (.f64 a (*.f64 b (neg.f64 b)))))))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 a (.f64 a (.f64 b (neg.f64 b)))) (.f64 (/.f64 (.f64 8 (.f64 a (.f64 a (.f64 b (neg.f64 b))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b)))) y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale))))))))) (.f64 a (.f64 a (.f64 b (neg.f64 b)))))))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 193 to 129 computations (33.2% saved)

simplify50.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1484×	`times-frac`
1248×	`associate-r`
1234×	`fma-def`
1070×	`associate-l`
574×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	583
1	158	557
2	607	557
3	6023	549

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))

Outputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (/.f64 4 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) 2) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) (.f64 x-scale y-scale)) 2))))))) (/.f64 4 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 b (neg.f64 a)) (.f64 (.f64 b a) (/.f64 8 (/.f64 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (.f64 b a))) (neg.f64 a))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale))))))) (.f64 b (.f64 a (*.f64 b (neg.f64 a)))))))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b a) (.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (neg.f64 a) (.f64 a (.f64 b b)))) (.f64 (.f64 b (neg.f64 a)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))
(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 8 (.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 b (.f64 a (.f64 b a))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))

eval11.0ms (0%)

Compiler: Compiled 894 to 531 computations (40.6% saved)

prune21.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Accurracy

0.3%

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.2%	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 8 (.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 b (.f64 a (.f64 b a))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))
▶	0.3%	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 b (neg.f64 a)) (.f64 (.f64 b a) (/.f64 8 (/.f64 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (.f64 b a))) (neg.f64 a))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale))))))) (.f64 b (.f64 a (*.f64 b (neg.f64 a)))))))
▶	0.2%	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b a) (.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (neg.f64 a) (.f64 a (.f64 b b)))) (.f64 (.f64 b (neg.f64 a)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))
▶	0.2%	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 8 (.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 b (.f64 a (.f64 b a))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))
▶	0.3%	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 b (neg.f64 a)) (.f64 (.f64 b a) (/.f64 8 (/.f64 (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (.f64 b a))) (neg.f64 a))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale))))))) (.f64 b (.f64 a (*.f64 b (neg.f64 a)))))))
▶	0.2%	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b a) (.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 (neg.f64 a) (.f64 a (.f64 b b)))) (.f64 (.f64 b (neg.f64 a)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))

Compiler

Compiled 1076 to 684 computations (36.4% saved)

localize1.1min (44.7%)

Results

Compiler

Compiled 4983 to 2801 computations (43.8% saved)

analyze6.5s (4.3%)

sample1.3min (50.8%)

preprocess121.0ms (0.1%)

simplify50.0ms (0%)

eval11.0ms (0%)

prune21.0ms (0%)

localize1.1min (44.7%)

Profiling