Initial program 63.7
\[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}}
\]
Simplified63.2
\[\leadsto \color{blue}{{\left(x-scale \cdot y-scale\right)}^{2} \cdot \left(-0.25 \cdot \frac{\sqrt{\left(b \cdot \left(\left(a \cdot \left(b \cdot \left(-a\right)\right)\right) \cdot \frac{8 \cdot \left(\left(-a\right) \cdot \left(a \cdot \left(b \cdot b\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right)\right) \cdot \left(\frac{{\left(a \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{x-scale \cdot x-scale} + \left(\frac{{\left(a \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{y-scale \cdot y-scale} + \mathsf{hypot}\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{\frac{180}{\pi}}\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{\cos \left(\frac{angle}{\frac{180}{\pi}}\right)}{\frac{x-scale \cdot y-scale}{2 \cdot \left(\sin \left(\frac{angle}{\frac{180}{\pi}}\right) \cdot \left(b \cdot b - a \cdot a\right)\right)}}\right)\right)\right)}}{\left(-a\right) \cdot \left(a \cdot \left(b \cdot b\right)\right)}\right)}
\]
Proof
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (Rewrite<= metadata-eval (/.f64 -1 4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 2 4)) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (*.f64 (neg.f64 a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 a b) b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (*.f64 (neg.f64 a) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 b a)) b))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (*.f64 2 4) (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (Rewrite<= associate-*r*_binary64 (*.f64 2 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (Rewrite<= associate-*r/_binary64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))) (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 1 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.f64 (sqrt.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.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 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (pow.f64 (*.f64 a (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (Rewrite<= associate-/l/_binary64 (/.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 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (Rewrite<= associate-/l/_binary64 (/.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)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.f64 (-.f64 (Rewrite<= associate-/l/_binary64 (/.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 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 2 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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 (pow.f64 (*.f64 a (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 1 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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) (Rewrite<= associate-/l/_binary64 (/.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))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 3 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (cos.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (Rewrite=> associate-/r/_binary64 (*.f64 (/.f64 angle 180) (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2)))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (Rewrite<= *-commutative_binary64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 x-scale y-scale) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 x-scale y-scale)))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (/.f64 (Rewrite<= *-commutative_binary64 (*.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))))) (*.f64 x-scale y-scale))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (hypot.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)) (Rewrite=> associate-/r*_binary64 (/.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))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (Rewrite<= hypot-def_binary64 (sqrt.f64 (+.f64 (*.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)) (-.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))) (*.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) (/.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))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 6 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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 (Rewrite<= unpow2_binary64 (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)) (*.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) (/.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)))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (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 (+.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) (Rewrite<= unpow2_binary64 (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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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)))) (Rewrite<= associate-+l+_binary64 (+.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 (neg.f64 a) (*.f64 a (*.f64 b b)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (neg.f64 a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 a b) b)))))): 1 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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 (neg.f64 a) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 b a)) b))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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)))))) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 (/.f64 -1 4) (/.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)))))) (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 -1 (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 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (/.f64 (Rewrite<= neg-mul-1_binary64 (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 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))): 0 points increase in error, 0 points decrease in error
(Rewrite<= *-commutative_binary64 (*.f64 (/.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 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(Rewrite<= associate-/r/_binary64 (/.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)))): 2 points increase in error, 1 points decrease in error
Taylor expanded in angle around 0 51.0
\[\leadsto \color{blue}{0.25 \cdot \left(\sqrt{2} \cdot \left(y-scale \cdot \left(b \cdot \sqrt{8}\right)\right)\right)}
\]
Simplified51.0
\[\leadsto \color{blue}{0.25 \cdot \left(\left(\sqrt{2} \cdot y-scale\right) \cdot \left(\sqrt{8} \cdot b\right)\right)}
\]
Proof
(*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 2) y-scale) (*.f64 (sqrt.f64 8) b))): 0 points increase in error, 0 points decrease in error
(*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 2) y-scale) (Rewrite<= *-commutative_binary64 (*.f64 b (sqrt.f64 8))))): 0 points increase in error, 0 points decrease in error
(*.f64 1/4 (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 y-scale (*.f64 b (sqrt.f64 8)))))): 47 points increase in error, 30 points decrease in error
Applied egg-rr62.5
\[\leadsto 0.25 \cdot \color{blue}{\sqrt{\left(2 \cdot \left(y-scale \cdot y-scale\right)\right) \cdot \left(8 \cdot \left(b \cdot b\right)\right)}}
\]
Simplified62.5
\[\leadsto 0.25 \cdot \color{blue}{\sqrt{\left(y-scale \cdot y-scale\right) \cdot \left(\left(b \cdot b\right) \cdot 16\right)}}
\]
Proof
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) 16))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (Rewrite<= metadata-eval (*.f64 8 2))))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (*.f64 (Rewrite<= rem-square-sqrt_binary64 (*.f64 (sqrt.f64 8) (sqrt.f64 8))) 2)))): 11 points increase in error, 21 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 8)) (Rewrite<= rem-square-sqrt_binary64 (*.f64 (sqrt.f64 2) (sqrt.f64 2))))))): 14 points increase in error, 22 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 b b) (Rewrite<= swap-sqr_binary64 (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 2)) (*.f64 (sqrt.f64 8) (sqrt.f64 2))))))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 2)) (*.f64 (sqrt.f64 8) (sqrt.f64 2))) (*.f64 b b))))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 (sqrt.f64 2) (sqrt.f64 8))) (*.f64 (sqrt.f64 8) (sqrt.f64 2))) (*.f64 b b)))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) (Rewrite=> *-commutative_binary64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)))) (*.f64 b b)))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (Rewrite<= swap-sqr_binary64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) b) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) b))))): 10 points increase in error, 8 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) b))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) b)))): 8 points increase in error, 6 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) b)) (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) b)))))): 10 points increase in error, 6 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (Rewrite=> swap-sqr_binary64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 8) b) (*.f64 (sqrt.f64 8) b)))))): 8 points increase in error, 10 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 (Rewrite=> rem-square-sqrt_binary64 2) (*.f64 (*.f64 (sqrt.f64 8) b) (*.f64 (sqrt.f64 8) b))))): 20 points increase in error, 13 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 2 (Rewrite=> swap-sqr_binary64 (*.f64 (*.f64 (sqrt.f64 8) (sqrt.f64 8)) (*.f64 b b)))))): 6 points increase in error, 15 points decrease in error
(sqrt.f64 (*.f64 (*.f64 y-scale y-scale) (*.f64 2 (*.f64 (Rewrite=> rem-square-sqrt_binary64 8) (*.f64 b b))))): 21 points increase in error, 11 points decrease in error
(sqrt.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 y-scale y-scale) 2) (*.f64 8 (*.f64 b b))))): 0 points increase in error, 0 points decrease in error
(sqrt.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 2 (*.f64 y-scale y-scale))) (*.f64 8 (*.f64 b b)))): 0 points increase in error, 0 points decrease in error
Applied egg-rr50.6
\[\leadsto 0.25 \cdot \color{blue}{\left(\sqrt{{\left(y-scale \cdot b\right)}^{2}} \cdot 4\right)}
\]
Initial program 63.4
\[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}}
\]
Simplified63.2
\[\leadsto \color{blue}{\frac{\sqrt{\frac{8 \cdot \left(\left(b \cdot \left(a \cdot \left(b \cdot a\right)\right)\right) \cdot \left(b \cdot \left(a \cdot \left(b \cdot a\right)\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}} \cdot \left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale} + \left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \mathsf{hypot}\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{\frac{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}{\frac{x-scale}{b \cdot b - a \cdot a}}}{\frac{y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}\right)\right)\right)}}{b \cdot \left(\left(b \cdot a\right) \cdot \left(a \cdot -4\right)\right)} \cdot \left(-{\left(x-scale \cdot y-scale\right)}^{2}\right)}
\]
Proof
(*.f64 (/.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 (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 4 2)) (*.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 (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b 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 (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b (*.f64 a (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 b a) b) a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (Rewrite<= sqr-neg_binary64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a)) (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= distribute-rgt-neg-out_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) b) a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (Rewrite<= distribute-rgt-neg-out_binary64 (*.f64 (*.f64 (*.f64 b a) b) (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 4 2) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 (Rewrite=> metadata-eval 8) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 (Rewrite<= metadata-eval (*.f64 2 4)) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 2 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l/_binary64 (*.f64 (/.f64 (*.f64 2 (*.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 (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 2 points decrease in error
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (Rewrite<= associate-*r/_binary64 (*.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 (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (Rewrite<= associate-/l/_binary64 (/.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)) (+.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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 1 points decrease in error
(*.f64 (/.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 (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) (+.f64 (Rewrite<= associate-/l/_binary64 (/.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)) (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.f64 (-.f64 (Rewrite<= associate-/l/_binary64 (/.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 (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 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 2 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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) (Rewrite<= associate-/l/_binary64 (/.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))) (/.f64 (/.f64 (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 3 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2)) (/.f64 x-scale (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2) (/.f64 x-scale (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2) (/.f64 x-scale (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))))) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2))) x-scale)) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (/.f64 (Rewrite<= associate-*r*_binary64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) x-scale) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) x-scale) (/.f64 y-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) y-scale))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (hypot.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)) (/.f64 (Rewrite=> associate-*l/_binary64 (/.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)))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (Rewrite<= hypot-def_binary64 (sqrt.f64 (+.f64 (*.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)) (-.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))) (*.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) (/.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))))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 7 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (sqrt.f64 (+.f64 (Rewrite<= unpow2_binary64 (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)) (*.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) (/.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)))))))) (*.f64 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (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) (+.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) (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) (Rewrite<= unpow2_binary64 (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 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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)))) (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (/.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) (/.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)) (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 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 (Rewrite<= +-commutative_binary64 (+.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 b (*.f64 (*.f64 b a) (*.f64 a -4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (*.f64 (*.f64 b a) (*.f64 a (Rewrite<= metadata-eval (*.f64 -1 4)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (*.f64 (*.f64 b a) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 a -1) 4))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (*.f64 (*.f64 b a) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 -1 a)) 4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (*.f64 (*.f64 b a) (*.f64 (Rewrite<= neg-mul-1_binary64 (neg.f64 a)) 4)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (*.f64 (*.f64 b a) (Rewrite=> *-commutative_binary64 (*.f64 4 (neg.f64 a)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 b a) 4) (neg.f64 a))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (*.f64 b a))) (neg.f64 a)))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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 b (Rewrite=> *-commutative_binary64 (*.f64 (neg.f64 a) (*.f64 4 (*.f64 b a)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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)))))) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 4 (*.f64 b a))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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)))))) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 4 (*.f64 b a)) (*.f64 b (neg.f64 a))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 0 points increase in error, 0 points decrease in error
(*.f64 (/.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)))))) (Rewrite<= associate-*r*_binary64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (neg.f64 (pow.f64 (*.f64 x-scale y-scale) 2))): 1 points increase in error, 0 points decrease in error
(Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 (/.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 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))): 0 points increase in error, 0 points decrease in error
(neg.f64 (Rewrite<= associate-/r/_binary64 (/.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))))): 2 points increase in error, 1 points decrease in error
(Rewrite<= distribute-frac-neg_binary64 (/.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)))): 0 points increase in error, 0 points decrease in error
Taylor expanded in x-scale around inf 60.5
\[\leadsto \color{blue}{0.25 \cdot \left(\left(y-scale \cdot \left(x-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \frac{{a}^{2} \cdot {\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}} + 2 \cdot \frac{{b}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}{{y-scale}^{2}}}\right)}
\]
Simplified60.5
\[\leadsto \color{blue}{\left(0.25 \cdot \left(\left(x-scale \cdot y-scale\right) \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left(\frac{a \cdot a}{\frac{y-scale \cdot y-scale}{{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}} + \frac{b \cdot b}{\frac{y-scale \cdot y-scale}{{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}}\right)}}
\]
Proof
(*.f64 (*.f64 1/4 (*.f64 (*.f64 x-scale y-scale) (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (Rewrite<= associate-*r*_binary64 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8))))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 9 points increase in error, 4 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 a 2) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))) (/.f64 (*.f64 b b) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 1 points increase in error, 1 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (/.f64 (*.f64 y-scale y-scale) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))))))): 2 points increase in error, 3 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8)))) (sqrt.f64 (Rewrite<= distribute-lft-out_binary64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))))))): 0 points increase in error, 0 points decrease in error
(Rewrite<= associate-*r*_binary64 (*.f64 1/4 (*.f64 (*.f64 y-scale (*.f64 x-scale (sqrt.f64 8))) (sqrt.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (pow.f64 y-scale 2)))))))): 0 points increase in error, 0 points decrease in error
Applied egg-rr51.9
\[\leadsto \color{blue}{\sqrt{{\left(0.25 \cdot \left(\left(x-scale \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \left(\mathsf{hypot}\left(\frac{a}{\frac{y-scale}{\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}}, \frac{b}{\frac{y-scale}{\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}}\right) \cdot \sqrt{2}\right)\right)\right)}^{2}}}
\]
Simplified48.5
\[\leadsto \color{blue}{\left|0.25 \cdot \left(\sqrt{2} \cdot \left(\left(y-scale \cdot \sqrt{8}\right) \cdot \left(x-scale \cdot \mathsf{hypot}\left(\cos \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right) \cdot \frac{a}{y-scale}, \sin \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right) \cdot \frac{b}{y-scale}\right)\right)\right)\right)\right|}
\]
Proof
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 a y-scale)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (*.f64 (cos.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) (/.f64 a y-scale)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 6 points increase in error, 4 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (*.f64 (cos.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (/.f64 a y-scale)) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 a y-scale) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (Rewrite<= associate-/r/_binary64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (/.f64 b y-scale)))))))): 4 points increase in error, 5 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (sin.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) (/.f64 b y-scale)))))))): 5 points increase in error, 4 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (sin.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (/.f64 b y-scale)))))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 b y-scale) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 y-scale (sqrt.f64 8)) (*.f64 x-scale (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (Rewrite<= associate-/r/_binary64 (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))))))): 10 points increase in error, 15 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 y-scale (sqrt.f64 8)) x-scale) (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))))): 60 points increase in error, 38 points decrease in error
(fabs.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8)))) (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))) (sqrt.f64 2))))): 0 points increase in error, 0 points decrease in error
(fabs.f64 (*.f64 1/4 (Rewrite<= associate-*r*_binary64 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))))): 30 points increase in error, 32 points decrease in error
(Rewrite<= rem-sqrt-square_binary64 (sqrt.f64 (*.f64 (*.f64 1/4 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))) (*.f64 1/4 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2))))))): 51 points increase in error, 0 points decrease in error
(sqrt.f64 (Rewrite<= unpow2_binary64 (pow.f64 (*.f64 1/4 (*.f64 (*.f64 x-scale (*.f64 y-scale (sqrt.f64 8))) (*.f64 (hypot.f64 (/.f64 a (/.f64 y-scale (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (/.f64 b (/.f64 y-scale (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (sqrt.f64 2)))) 2))): 0 points increase in error, 0 points decrease in error
Taylor expanded in y-scale around 0 48.1
\[\leadsto \left|0.25 \cdot \left(\sqrt{2} \cdot \color{blue}{\left(\left(x-scale \cdot \sqrt{8}\right) \cdot \sqrt{{a}^{2} \cdot {\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2} + {b}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}}\right)}\right)\right|
\]
Simplified37.5
\[\leadsto \left|0.25 \cdot \left(\sqrt{2} \cdot \color{blue}{\left(\left(x-scale \cdot \sqrt{8}\right) \cdot \mathsf{hypot}\left(\sin \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right) \cdot b, a \cdot \cos \left(angle \cdot \left(\pi \cdot 0.005555555555555556\right)\right)\right)\right)}\right)\right|
\]
Proof
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) b) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 (sin.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) b) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 16 points increase in error, 8 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 (sin.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) b) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (Rewrite<= *-commutative_binary64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180)))))): 5 points increase in error, 5 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (hypot.f64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (Rewrite<= hypot-def_binary64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 b (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))): 72 points increase in error, 14 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 b b) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 18 points increase in error, 5 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180)))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))): 5 points increase in error, 2 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (*.f64 a (cos.f64 (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180)))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (*.f64 a (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (*.f64 a (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))): 2 points increase in error, 5 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 a a) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))): 5 points increase in error, 2 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 angle (PI.f64)) 1/180))) 2))))): 5 points increase in error, 2 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (Rewrite<= *-commutative_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 x-scale (sqrt.f64 8)) (sqrt.f64 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))): 0 points increase in error, 0 points decrease in error
Initial program 63.5
\[\frac{-\sqrt{\left(\left(2 \cdot \frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}\right) \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)\right) \cdot \left(\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} + \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right) + \sqrt{{\left(\frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale} - \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale}\right)}^{2} + {\left(\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale}\right)}^{2}}\right)}}{\frac{4 \cdot \left(\left(b \cdot a\right) \cdot \left(b \cdot \left(-a\right)\right)\right)}{{\left(x-scale \cdot y-scale\right)}^{2}}}
\]
Simplified63.7
\[\leadsto \color{blue}{\frac{-\sqrt{\left(2 \cdot \left(\frac{4}{\frac{{\left(x-scale \cdot y-scale\right)}^{2}}{b \cdot \left(a \cdot \left(b \cdot \left(-a\right)\right)\right)}} \cdot \left(b \cdot \left(a \cdot \left(b \cdot \left(-a\right)\right)\right)\right)\right)\right) \cdot \left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} + \left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale} + \sqrt{{\left(\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} - \frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}\right)}^{2} + {\left(\frac{\cos \left(\frac{angle}{180} \cdot \pi\right) \cdot \left(2 \cdot \left(\left(b \cdot b - a \cdot a\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)\right)}{x-scale \cdot y-scale}\right)}^{2}}\right)\right)}}{\frac{4}{\frac{{\left(x-scale \cdot y-scale\right)}^{2}}{b \cdot \left(a \cdot \left(b \cdot \left(-a\right)\right)\right)}}}}
\]
Proof
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))))) (*.f64 b (*.f64 a (*.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)) (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))))) (*.f64 b (*.f64 a (*.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)) (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 b (*.f64 a (*.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)) (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.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)) (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (Rewrite<= associate-*l*_binary64 (*.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 (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 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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (Rewrite<= associate-/l/_binary64 (/.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)) (*.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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (Rewrite<= associate-/l/_binary64 (/.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 (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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 (Rewrite<= associate-/l/_binary64 (/.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 (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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) (Rewrite<= associate-/l/_binary64 (/.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 (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (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 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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 (Rewrite<= *-commutative_binary64 (*.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))))) (*.f64 x-scale y-scale)) 2)))))))) (/.f64 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 (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 (+.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 (Rewrite=> associate-/r*_binary64 (/.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 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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)))) (Rewrite<= associate-+l+_binary64 (+.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 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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 4 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))))))): 0 points increase in error, 0 points decrease in error
(/.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))))))) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))): 0 points increase in error, 0 points decrease in error
Taylor expanded in x-scale around 0 41.8
\[\leadsto \color{blue}{0.25 \cdot \left(\left(y-scale \cdot \sqrt{8}\right) \cdot \sqrt{2 \cdot \left({a}^{2} \cdot {\sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2}\right) + 2 \cdot \left({\cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)}^{2} \cdot {b}^{2}\right)}\right)}
\]
Simplified38.9
\[\leadsto \color{blue}{\left(0.25 \cdot \left(y-scale \cdot \sqrt{8}\right)\right) \cdot \sqrt{2 \cdot \left({\left(a \cdot \sin \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)}^{2} + {\left(b \cdot \cos \left(0.005555555555555556 \cdot \left(angle \cdot \pi\right)\right)\right)}^{2}\right)}}
\]
Proof
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 1/180 angle) (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 12 points increase in error, 10 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 angle 1/180)) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 1/180 angle) (PI.f64))))) 2))))): 8 points increase in error, 4 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 angle 1/180)) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (Rewrite=> unpow2_binary64 (*.f64 (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) (*.f64 a (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 a a) (*.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 21 points increase in error, 9 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2))) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) 2))))): 9 points increase in error, 10 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite=> unpow2_binary64 (*.f64 (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))) (*.f64 b (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 b b) (*.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64)))))))))): 3 points increase in error, 3 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 1/180 angle)) (PI.f64))) 2)))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 b 2) (pow.f64 (cos.f64 (Rewrite<= associate-*r*_binary64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2)))))): 3 points increase in error, 8 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)) (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 b 2))))))): 0 points increase in error, 0 points decrease in error
(*.f64 (*.f64 1/4 (*.f64 y-scale (sqrt.f64 8))) (sqrt.f64 (Rewrite<= distribute-lft-out_binary64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 2 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 b 2))))))): 0 points increase in error, 0 points decrease in error
(Rewrite<= associate-*r*_binary64 (*.f64 1/4 (*.f64 (*.f64 y-scale (sqrt.f64 8)) (sqrt.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2))) (*.f64 2 (*.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))))))): 0 points increase in error, 0 points decrease in error