a from scale-rotated-ellipse

Time bar (total: 12.0s)

analyze2.0s (16.5%)

Memory
20.2MiB live, 2 333.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
3.5%3.5%96.2%0.2%0%0%0%11
4.1%4.1%95.7%0.2%0%0%0%12
Compiler

Compiled 185 to 58 computations (68.6% saved)

sample9.7s (80.7%)

Memory
-49.6MiB live, 12 454.0MiB allocated
Samples
4.4s2 349×1valid
2.5s5 907×0valid
1.3s2 320×1exit
Precisions
Click to see histograms. Total time spent on operations: 7.6s
ival-mult: 1.7s (21.8% of total)
ival-pow2: 1.3s (16.8% of total)
ival-sin: 1.2s (16.1% of total)
ival-cos: 978.0ms (12.8% of total)
ival-div: 952.0ms (12.5% of total)
adjust: 474.0ms (6.2% of total)
ival-sqrt: 299.0ms (3.9% of total)
ival-add: 297.0ms (3.9% of total)
ival-sub: 245.0ms (3.2% of total)
ival-neg: 104.0ms (1.4% of total)
ival-pi: 84.0ms (1.1% of total)
exact: 18.0ms (0.2% of total)
ival-true: 9.0ms (0.1% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess335.0ms (2.8%)

Memory
-4.5MiB live, 423.8MiB allocated
Algorithm
2×egg-herbie
Rules
8 544×*-lowering-*.f32
8 544×*-lowering-*.f64
2 766×accelerator-lowering-fma.f32
2 766×accelerator-lowering-fma.f64
2 102×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05563888
116453756
276033756
056183
1139180
2574180
35559177
08393172
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)))
Outputs
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)))
(*.f64 (*.f64 x-scale (*.f64 y-scale (*.f64 x-scale y-scale))) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 b a) #s(literal 8 binary64)) (/.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 x-scale (*.f64 y-scale (*.f64 x-scale y-scale)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (*.f64 y-scale y-scale))) (*.f64 (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (*.f64 (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (/.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 x-scale y-scale))))))))) (*.f64 (*.f64 b a) (*.f64 #s(literal 4 binary64) (*.f64 b a)))))
Call 2
Inputs
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b (neg a)) (* b (neg (neg a))))) (pow (* x-scale y-scale) 2))) (* (* b (neg a)) (* b (neg (neg a))))) (+ (+ (/ (/ (+ (pow (* (neg a) (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* (neg a) (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* (neg a) (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* (neg a) (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow (neg a) 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b (neg a)) (* b (neg (neg a))))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* (neg b) a) (* (neg b) (neg a)))) (pow (* x-scale y-scale) 2))) (* (* (neg b) a) (* (neg b) (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow (neg b) 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* (neg b) a) (* (neg b) (neg a)))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (cos (* (/ (neg angle) 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (sin (* (/ (neg angle) 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (cos (* (/ (neg angle) 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (sin (* (/ (neg angle) 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ (neg angle) 180) (PI)))) (cos (* (/ (neg angle) 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* (neg x-scale) y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (neg x-scale)) (neg x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (neg x-scale)) (neg x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) (neg x-scale)) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* (neg x-scale) y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale (neg y-scale)) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (neg y-scale)) (neg y-scale))) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (neg y-scale)) (neg y-scale))) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) (neg y-scale)) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale (neg y-scale)) 2)))
(neg (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b (neg a)) (* b (neg (neg a))))) (pow (* x-scale y-scale) 2))) (* (* b (neg a)) (* b (neg (neg a))))) (+ (+ (/ (/ (+ (pow (* (neg a) (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* (neg a) (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* (neg a) (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* (neg a) (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow (neg a) 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b (neg a)) (* b (neg (neg a))))) (pow (* x-scale y-scale) 2))))
(neg (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* (neg b) a) (* (neg b) (neg a)))) (pow (* x-scale y-scale) 2))) (* (* (neg b) a) (* (neg b) (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* (neg b) (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow (neg b) 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* (neg b) a) (* (neg b) (neg a)))) (pow (* x-scale y-scale) 2))))
(neg (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (cos (* (/ (neg angle) 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (sin (* (/ (neg angle) 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (cos (* (/ (neg angle) 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ (neg angle) 180) (PI)))) 2) (pow (* b (sin (* (/ (neg angle) 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ (neg angle) 180) (PI)))) (cos (* (/ (neg angle) 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))))
(neg (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* (neg x-scale) y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (neg x-scale)) (neg x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (neg x-scale)) (neg x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) (neg x-scale)) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* (neg x-scale) y-scale) 2))))
(neg (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale (neg y-scale)) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (neg y-scale)) (neg y-scale))) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (neg y-scale)) (neg y-scale))) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) (neg y-scale)) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale (neg y-scale)) 2))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* a b) (* a (neg b)))) (pow (* x-scale y-scale) 2))) (* (* a b) (* a (neg b)))) (+ (+ (/ (/ (+ (pow (* b (sin (* (/ angle 180) (PI)))) 2) (pow (* a (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* b (cos (* (/ angle 180) (PI)))) 2) (pow (* a (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* b (sin (* (/ angle 180) (PI)))) 2) (pow (* a (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* b (cos (* (/ angle 180) (PI)))) 2) (pow (* a (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow a 2) (pow b 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* a b) (* a (neg b)))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b angle) (* b (neg angle)))) (pow (* x-scale y-scale) 2))) (* (* b angle) (* b (neg angle)))) (+ (+ (/ (/ (+ (pow (* angle (sin (* (/ a 180) (PI)))) 2) (pow (* b (cos (* (/ a 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* angle (cos (* (/ a 180) (PI)))) 2) (pow (* b (sin (* (/ a 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* angle (sin (* (/ a 180) (PI)))) 2) (pow (* b (cos (* (/ a 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* angle (cos (* (/ a 180) (PI)))) 2) (pow (* b (sin (* (/ a 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow angle 2))) (sin (* (/ a 180) (PI)))) (cos (* (/ a 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b angle) (* b (neg angle)))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b x-scale) (* b (neg x-scale)))) (pow (* a y-scale) 2))) (* (* b x-scale) (* b (neg x-scale)))) (+ (+ (/ (/ (+ (pow (* x-scale (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) a) a) (/ (/ (+ (pow (* x-scale (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* x-scale (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) a) a) (/ (/ (+ (pow (* x-scale (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow x-scale 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) a) y-scale) 2))))))) (/ (* 4 (* (* b x-scale) (* b (neg x-scale)))) (pow (* a y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b y-scale) (* b (neg y-scale)))) (pow (* x-scale a) 2))) (* (* b y-scale) (* b (neg y-scale)))) (+ (+ (/ (/ (+ (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) a) a)) (sqrt (+ (pow (- (/ (/ (+ (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) a) a)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow y-scale 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) a) 2))))))) (/ (* 4 (* (* b y-scale) (* b (neg y-scale)))) (pow (* x-scale a) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* angle a) (* angle (neg a)))) (pow (* x-scale y-scale) 2))) (* (* angle a) (* angle (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ b 180) (PI)))) 2) (pow (* angle (cos (* (/ b 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ b 180) (PI)))) 2) (pow (* angle (sin (* (/ b 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ b 180) (PI)))) 2) (pow (* angle (cos (* (/ b 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ b 180) (PI)))) 2) (pow (* angle (sin (* (/ b 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow angle 2) (pow a 2))) (sin (* (/ b 180) (PI)))) (cos (* (/ b 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* angle a) (* angle (neg a)))) (pow (* x-scale y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* x-scale a) (* x-scale (neg a)))) (pow (* b y-scale) 2))) (* (* x-scale a) (* x-scale (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* x-scale (cos (* (/ angle 180) (PI)))) 2)) b) b) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* x-scale (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* x-scale (cos (* (/ angle 180) (PI)))) 2)) b) b) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* x-scale (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow x-scale 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) b) y-scale) 2))))))) (/ (* 4 (* (* x-scale a) (* x-scale (neg a)))) (pow (* b y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* y-scale a) (* y-scale (neg a)))) (pow (* x-scale b) 2))) (* (* y-scale a) (* y-scale (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2)) b) b)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2)) b) b)) 2) (pow (/ (/ (* (* (* 2 (- (pow y-scale 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) b) 2))))))) (/ (* 4 (* (* y-scale a) (* y-scale (neg a)))) (pow (* x-scale b) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* angle y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ x-scale 180) (PI)))) 2) (pow (* b (cos (* (/ x-scale 180) (PI)))) 2)) angle) angle) (/ (/ (+ (pow (* a (cos (* (/ x-scale 180) (PI)))) 2) (pow (* b (sin (* (/ x-scale 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ x-scale 180) (PI)))) 2) (pow (* b (cos (* (/ x-scale 180) (PI)))) 2)) angle) angle) (/ (/ (+ (pow (* a (cos (* (/ x-scale 180) (PI)))) 2) (pow (* b (sin (* (/ x-scale 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ x-scale 180) (PI)))) (cos (* (/ x-scale 180) (PI)))) angle) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* angle y-scale) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale angle) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ y-scale 180) (PI)))) 2) (pow (* b (cos (* (/ y-scale 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ y-scale 180) (PI)))) 2) (pow (* b (sin (* (/ y-scale 180) (PI)))) 2)) angle) angle)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ y-scale 180) (PI)))) 2) (pow (* b (cos (* (/ y-scale 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ y-scale 180) (PI)))) 2) (pow (* b (sin (* (/ y-scale 180) (PI)))) 2)) angle) angle)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ y-scale 180) (PI)))) (cos (* (/ y-scale 180) (PI)))) x-scale) angle) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale angle) 2)))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* y-scale x-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) y-scale) x-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* y-scale x-scale) 2)))
Outputs
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)))
(/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* b b) (* a a)))) (/ (cos (* angle (/ (PI) 180))) (* x-scale y-scale))) 2)))))) (* -4 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2)))))
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(/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* b b) (* a a)))) (/ (cos (* angle (/ (PI) 180))) (* x-scale y-scale))) 2)))))) (* -4 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2)))))
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(/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (* 2 (- (* b b) (* a a))) (sin (* (PI) (/ angle -180)))) (/ (/ (cos (* angle (/ (PI) 180))) x-scale) y-scale)) 2)))))) (* -4 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2)))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* (neg x-scale) y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (neg x-scale)) (neg x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (neg x-scale)) (neg x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) (neg x-scale)) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* (neg x-scale) y-scale) 2)))
(/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* b b) (* a a)))) (/ (cos (* angle (/ (PI) 180))) (* x-scale y-scale))) 2)))))) (* -4 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2)))))
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(/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* b b) (* a a)))) (/ (cos (* angle (/ (PI) 180))) (* x-scale y-scale))) 2)))))) (* (* b (* a (* a (neg b)))) (/ 4 (pow (* x-scale y-scale) 2))))
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(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b y-scale) (* b (neg y-scale)))) (pow (* x-scale a) 2))) (* (* b y-scale) (* b (neg y-scale)))) (+ (+ (/ (/ (+ (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) a) a)) (sqrt (+ (pow (- (/ (/ (+ (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) a) a)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow y-scale 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) a) 2))))))) (/ (* 4 (* (* b y-scale) (* b (neg y-scale)))) (pow (* x-scale a) 2)))
(* -1/4 (/ (sqrt (* (/ (* (* 8 (neg (pow (* b y-scale) 2))) (neg (pow (* b y-scale) 2))) (pow (* a x-scale) 2)) (+ (+ (/ (+ (pow (* b (cos (* angle (/ (PI) 180)))) 2) (pow (* y-scale (sin (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* b (sin (* angle (/ (PI) 180)))) 2) (pow (* y-scale (cos (* angle (/ (PI) 180)))) 2)) (* a a))) (sqrt (+ (pow (- (/ (+ (pow (* b (cos (* angle (/ (PI) 180)))) 2) (pow (* y-scale (sin (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* b (sin (* angle (/ (PI) 180)))) 2) (pow (* y-scale (cos (* angle (/ (PI) 180)))) 2)) (* a a))) 2) (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* b b) (* y-scale y-scale)))) (/ (cos (* angle (/ (PI) 180))) (* a x-scale))) 2)))))) (/ (neg (pow (* b y-scale) 2)) (pow (* a x-scale) 2))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* angle a) (* angle (neg a)))) (pow (* x-scale y-scale) 2))) (* (* angle a) (* angle (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ b 180) (PI)))) 2) (pow (* angle (cos (* (/ b 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ b 180) (PI)))) 2) (pow (* angle (sin (* (/ b 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ b 180) (PI)))) 2) (pow (* angle (cos (* (/ b 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ b 180) (PI)))) 2) (pow (* angle (sin (* (/ b 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow angle 2) (pow a 2))) (sin (* (/ b 180) (PI)))) (cos (* (/ b 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* angle a) (* angle (neg a)))) (pow (* x-scale y-scale) 2)))
(* -1/4 (/ (sqrt (* (* angle (* (* (* a angle) (neg a)) (* 8 (/ (* (neg a) (* a (* angle angle))) (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* b (/ (PI) 180)))) 2) (pow (* angle (cos (* b (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* b (/ (PI) 180)))) 2) (pow (* angle (sin (* b (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* b (/ (PI) 180)))) 2) (pow (* angle (cos (* b (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* b (/ (PI) 180)))) 2) (pow (* angle (sin (* b (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* 2 (- (* angle angle) (* a a))) (/ (* (sin (* b (/ (PI) 180))) (cos (* b (/ (PI) 180)))) (* x-scale y-scale))) 2)))))) (/ (* (neg a) (* a (* angle angle))) (pow (* x-scale y-scale) 2))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* x-scale a) (* x-scale (neg a)))) (pow (* b y-scale) 2))) (* (* x-scale a) (* x-scale (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* x-scale (cos (* (/ angle 180) (PI)))) 2)) b) b) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* x-scale (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* x-scale (cos (* (/ angle 180) (PI)))) 2)) b) b) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* x-scale (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow x-scale 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) b) y-scale) 2))))))) (/ (* 4 (* (* x-scale a) (* x-scale (neg a)))) (pow (* b y-scale) 2)))
(* -1/4 (/ (sqrt (* (* (neg (pow (* a x-scale) 2)) (* 8 (/ (neg (pow (* a x-scale) 2)) (pow (* b y-scale) 2)))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* x-scale (cos (* angle (/ (PI) 180)))) 2)) (* b b)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* x-scale (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* x-scale (cos (* angle (/ (PI) 180)))) 2)) (* b b)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* x-scale (sin (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* x-scale x-scale) (* a a)))) (/ (cos (* angle (/ (PI) 180))) (* b y-scale))) 2)))))) (/ (neg (pow (* a x-scale) 2)) (pow (* b y-scale) 2))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* y-scale a) (* y-scale (neg a)))) (pow (* x-scale b) 2))) (* (* y-scale a) (* y-scale (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2)) b) b)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* y-scale (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* y-scale (sin (* (/ angle 180) (PI)))) 2)) b) b)) 2) (pow (/ (/ (* (* (* 2 (- (pow y-scale 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) b) 2))))))) (/ (* 4 (* (* y-scale a) (* y-scale (neg a)))) (pow (* x-scale b) 2)))
(* -1/4 (/ (sqrt (* (* (neg (pow (* a y-scale) 2)) (/ (* 8 (neg (pow (* a y-scale) 2))) (pow (* b x-scale) 2))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* y-scale (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* y-scale (sin (* angle (/ (PI) 180)))) 2)) (* b b))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* y-scale (cos (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* y-scale (sin (* angle (/ (PI) 180)))) 2)) (* b b))) 2) (pow (* (* (- (* y-scale y-scale) (* a a)) (* 2 (sin (* angle (/ (PI) 180))))) (/ (cos (* angle (/ (PI) 180))) (* b x-scale))) 2)))))) (/ (neg (pow (* a y-scale) 2)) (pow (* b x-scale) 2))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* angle y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ x-scale 180) (PI)))) 2) (pow (* b (cos (* (/ x-scale 180) (PI)))) 2)) angle) angle) (/ (/ (+ (pow (* a (cos (* (/ x-scale 180) (PI)))) 2) (pow (* b (sin (* (/ x-scale 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ x-scale 180) (PI)))) 2) (pow (* b (cos (* (/ x-scale 180) (PI)))) 2)) angle) angle) (/ (/ (+ (pow (* a (cos (* (/ x-scale 180) (PI)))) 2) (pow (* b (sin (* (/ x-scale 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ x-scale 180) (PI)))) (cos (* (/ x-scale 180) (PI)))) angle) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* angle y-scale) 2)))
(* -1/4 (/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* y-scale angle) 2))))) (+ (+ (/ (+ (pow (* a (sin (* x-scale (/ (PI) 180)))) 2) (pow (* b (cos (* x-scale (/ (PI) 180)))) 2)) (* angle angle)) (/ (+ (pow (* a (cos (* x-scale (/ (PI) 180)))) 2) (pow (* b (sin (* x-scale (/ (PI) 180)))) 2)) (* y-scale y-scale))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* x-scale (/ (PI) 180)))) 2) (pow (* b (cos (* x-scale (/ (PI) 180)))) 2)) (* angle angle)) (/ (+ (pow (* a (cos (* x-scale (/ (PI) 180)))) 2) (pow (* b (sin (* x-scale (/ (PI) 180)))) 2)) (* y-scale y-scale))) 2) (pow (* (* (* 2 (- (* b b) (* a a))) (sin (* x-scale (/ (PI) 180)))) (/ (cos (* x-scale (/ (PI) 180))) (* y-scale angle))) 2)))))) (* (* b (* a (neg b))) (/ a (pow (* y-scale angle) 2)))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale angle) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ y-scale 180) (PI)))) 2) (pow (* b (cos (* (/ y-scale 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ y-scale 180) (PI)))) 2) (pow (* b (sin (* (/ y-scale 180) (PI)))) 2)) angle) angle)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ y-scale 180) (PI)))) 2) (pow (* b (cos (* (/ y-scale 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ y-scale 180) (PI)))) 2) (pow (* b (sin (* (/ y-scale 180) (PI)))) 2)) angle) angle)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ y-scale 180) (PI)))) (cos (* (/ y-scale 180) (PI)))) x-scale) angle) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale angle) 2)))
(* -1/4 (/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale angle) 2))))) (+ (+ (/ (+ (pow (* a (sin (* y-scale (/ (PI) 180)))) 2) (pow (* b (cos (* y-scale (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* y-scale (/ (PI) 180)))) 2) (pow (* b (sin (* y-scale (/ (PI) 180)))) 2)) (* angle angle))) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* y-scale (/ (PI) 180)))) 2) (pow (* b (cos (* y-scale (/ (PI) 180)))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (* y-scale (/ (PI) 180)))) 2) (pow (* b (sin (* y-scale (/ (PI) 180)))) 2)) (* angle angle))) 2) (pow (* (cos (* y-scale (/ (PI) 180))) (/ (* (* 2 (- (* b b) (* a a))) (sin (* y-scale (/ (PI) 180)))) (* x-scale angle))) 2)))))) (* (* b (* a (neg b))) (/ a (pow (* x-scale angle) 2)))))
(/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* y-scale x-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) y-scale) x-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* y-scale x-scale) 2)))
(/ (sqrt (* (* (* b (* a (* a (neg b)))) (* 8 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2))))) (+ (+ (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale))) (sqrt (+ (pow (* (* (sin (* angle (/ (PI) 180))) (* 2 (- (* b b) (* a a)))) (/ (cos (* angle (/ (PI) 180))) (* x-scale y-scale))) 2) (pow (- (/ (+ (pow (* a (sin (* (PI) (/ angle -180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (* y-scale y-scale)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (* x-scale x-scale))) 2)))))) (* -4 (* (* b (* a (neg b))) (/ a (pow (* x-scale y-scale) 2)))))
Symmetry

(abs a)

(abs b)

(abs x-scale)

(abs y-scale)

explain1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Compiler

Compiled 1 615 to 58 computations (96.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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