?

Average Accuracy: 99.3% → 99.4%
Time: 43.4s
Precision: binary64
Cost: 91712

?

\[\frac{2 + \left(\left(\sqrt{2} \cdot \left(\sin x - \frac{\sin y}{16}\right)\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot \left(\cos x - \cos y\right)}{3 \cdot \left(\left(1 + \frac{\sqrt{5} - 1}{2} \cdot \cos x\right) + \frac{3 - \sqrt{5}}{2} \cdot \cos y\right)} \]
↓
\[\frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \frac{4}{\sqrt{5} + 3}, 3\right)\right)} \]
(FPCore (x y)
 :precision binary64
 (/
  (+
   2.0
   (*
    (*
     (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
     (- (sin y) (/ (sin x) 16.0)))
    (- (cos x) (cos y))))
  (*
   3.0
   (+
    (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))
    (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))))
↓
(FPCore (x y)
 :precision binary64
 (/
  (fma
   (sqrt 2.0)
   (*
    (+ (sin y) (* -0.0625 (sin x)))
    (* (- (cos y) (cos x)) (- (* (sin y) 0.0625) (sin x))))
   2.0)
  (fma
   (cos x)
   (/ 6.0 (+ (sqrt 5.0) 1.0))
   (fma (cos y) (* 1.5 (/ 4.0 (+ (sqrt 5.0) 3.0))) 3.0))))
double code(double x, double y) {
	return (2.0 + (((sqrt(2.0) * (sin(x) - (sin(y) / 16.0))) * (sin(y) - (sin(x) / 16.0))) * (cos(x) - cos(y)))) / (3.0 * ((1.0 + (((sqrt(5.0) - 1.0) / 2.0) * cos(x))) + (((3.0 - sqrt(5.0)) / 2.0) * cos(y))));
}
↓
double code(double x, double y) {
	return fma(sqrt(2.0), ((sin(y) + (-0.0625 * sin(x))) * ((cos(y) - cos(x)) * ((sin(y) * 0.0625) - sin(x)))), 2.0) / fma(cos(x), (6.0 / (sqrt(5.0) + 1.0)), fma(cos(y), (1.5 * (4.0 / (sqrt(5.0) + 3.0))), 3.0));
}

function code(x, y)
	return Float64(Float64(2.0 + Float64(Float64(Float64(sqrt(2.0) * Float64(sin(x) - Float64(sin(y) / 16.0))) * Float64(sin(y) - Float64(sin(x) / 16.0))) * Float64(cos(x) - cos(y)))) / Float64(3.0 * Float64(Float64(1.0 + Float64(Float64(Float64(sqrt(5.0) - 1.0) / 2.0) * cos(x))) + Float64(Float64(Float64(3.0 - sqrt(5.0)) / 2.0) * cos(y)))))
end
↓
function code(x, y)
	return Float64(fma(sqrt(2.0), Float64(Float64(sin(y) + Float64(-0.0625 * sin(x))) * Float64(Float64(cos(y) - cos(x)) * Float64(Float64(sin(y) * 0.0625) - sin(x)))), 2.0) / fma(cos(x), Float64(6.0 / Float64(sqrt(5.0) + 1.0)), fma(cos(y), Float64(1.5 * Float64(4.0 / Float64(sqrt(5.0) + 3.0))), 3.0)))
end

code[x_, y_] := N[(N[(2.0 + N[(N[(N[(N[Sqrt[2.0], $MachinePrecision] * N[(N[Sin[x], $MachinePrecision] - N[(N[Sin[y], $MachinePrecision] / 16.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[Sin[y], $MachinePrecision] - N[(N[Sin[x], $MachinePrecision] / 16.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[Cos[x], $MachinePrecision] - N[Cos[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(3.0 * N[(N[(1.0 + N[(N[(N[(N[Sqrt[5.0], $MachinePrecision] - 1.0), $MachinePrecision] / 2.0), $MachinePrecision] * N[Cos[x], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(3.0 - N[Sqrt[5.0], $MachinePrecision]), $MachinePrecision] / 2.0), $MachinePrecision] * N[Cos[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(N[(N[Sqrt[2.0], $MachinePrecision] * N[(N[(N[Sin[y], $MachinePrecision] + N[(-0.0625 * N[Sin[x], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(N[Cos[y], $MachinePrecision] - N[Cos[x], $MachinePrecision]), $MachinePrecision] * N[(N[(N[Sin[y], $MachinePrecision] * 0.0625), $MachinePrecision] - N[Sin[x], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + 2.0), $MachinePrecision] / N[(N[Cos[x], $MachinePrecision] * N[(6.0 / N[(N[Sqrt[5.0], $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision] + N[(N[Cos[y], $MachinePrecision] * N[(1.5 * N[(4.0 / N[(N[Sqrt[5.0], $MachinePrecision] + 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

\frac{2 + \left(\left(\sqrt{2} \cdot \left(\sin x - \frac{\sin y}{16}\right)\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot \left(\cos x - \cos y\right)}{3 \cdot \left(\left(1 + \frac{\sqrt{5} - 1}{2} \cdot \cos x\right) + \frac{3 - \sqrt{5}}{2} \cdot \cos y\right)}
↓
\frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \frac{4}{\sqrt{5} + 3}, 3\right)\right)}

Error?

Derivation?

  1. Initial program 99.3%

    \[\frac{2 + \left(\left(\sqrt{2} \cdot \left(\sin x - \frac{\sin y}{16}\right)\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot \left(\cos x - \cos y\right)}{3 \cdot \left(\left(1 + \frac{\sqrt{5} - 1}{2} \cdot \cos x\right) + \frac{3 - \sqrt{5}}{2} \cdot \cos y\right)} \]

  2. Simplified99.3%

    \[\leadsto \color{blue}{\frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{\sqrt{5} + -1}{0.6666666666666666}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)}} \]
    Proof

    [Start]99.3

    \[ \frac{2 + \left(\left(\sqrt{2} \cdot \left(\sin x - \frac{\sin y}{16}\right)\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot \left(\cos x - \cos y\right)}{3 \cdot \left(\left(1 + \frac{\sqrt{5} - 1}{2} \cdot \cos x\right) + \frac{3 - \sqrt{5}}{2} \cdot \cos y\right)} \]

  3. Applied egg-rr99.4%

    \[\leadsto \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{\frac{6}{\sqrt{5} - -1} \cdot 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]
    Proof

    [Start]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{\sqrt{5} + -1}{0.6666666666666666}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    *-un-lft-identity [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{1 \cdot \frac{\sqrt{5} + -1}{0.6666666666666666}}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    *-commutative [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{\frac{\sqrt{5} + -1}{0.6666666666666666} \cdot 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    div-inv [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{\left(\left(\sqrt{5} + -1\right) \cdot \frac{1}{0.6666666666666666}\right)} \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    flip-+ [=>]98.9

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \left(\color{blue}{\frac{\sqrt{5} \cdot \sqrt{5} - -1 \cdot -1}{\sqrt{5} - -1}} \cdot \frac{1}{0.6666666666666666}\right) \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    add-sqr-sqrt [<=]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \left(\frac{\color{blue}{5} - -1 \cdot -1}{\sqrt{5} - -1} \cdot \frac{1}{0.6666666666666666}\right) \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \left(\frac{5 - \color{blue}{1}}{\sqrt{5} - -1} \cdot \frac{1}{0.6666666666666666}\right) \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \left(\frac{\color{blue}{4}}{\sqrt{5} - -1} \cdot \frac{1}{0.6666666666666666}\right) \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [<=]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \left(\frac{\color{blue}{2 \cdot 2}}{\sqrt{5} - -1} \cdot \frac{1}{0.6666666666666666}\right) \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \left(\frac{2 \cdot 2}{\sqrt{5} - -1} \cdot \color{blue}{1.5}\right) \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    associate-*l/ [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{\frac{\left(2 \cdot 2\right) \cdot 1.5}{\sqrt{5} - -1}} \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{\color{blue}{4} \cdot 1.5}{\sqrt{5} - -1} \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{\color{blue}{6}}{\sqrt{5} - -1} \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

  4. Simplified99.4%

    \[\leadsto \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{\frac{6}{\sqrt{5} + 1}}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]
    Proof

    [Start]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} - -1} \cdot 1, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    *-rgt-identity [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \color{blue}{\frac{6}{\sqrt{5} - -1}}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    sub-neg [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\color{blue}{\sqrt{5} + \left(--1\right)}}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    metadata-eval [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + \color{blue}{1}}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

  5. Applied egg-rr99.4%

    \[\leadsto \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \color{blue}{\frac{4}{3 + \sqrt{5}}}, 3\right)\right)} \]
    Proof

    [Start]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \left(3 - \sqrt{5}\right), 3\right)\right)} \]

    flip-- [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \color{blue}{\frac{3 \cdot 3 - \sqrt{5} \cdot \sqrt{5}}{3 + \sqrt{5}}}, 3\right)\right)} \]

    metadata-eval [=>]99.3

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \frac{\color{blue}{9} - \sqrt{5} \cdot \sqrt{5}}{3 + \sqrt{5}}, 3\right)\right)} \]

    add-sqr-sqrt [<=]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \frac{9 - \color{blue}{5}}{3 + \sqrt{5}}, 3\right)\right)} \]

    metadata-eval [=>]99.4

    \[ \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + -0.0625 \cdot \sin y\right) \cdot \left(\cos x - \cos y\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \frac{\color{blue}{4}}{3 + \sqrt{5}}, 3\right)\right)} \]

  6. Final simplification99.4%

    \[\leadsto \frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, 1.5 \cdot \frac{4}{\sqrt{5} + 3}, 3\right)\right)} \]

Alternatives

Alternative 1
Accuracy99.4%
Cost91584
\[\frac{\mathsf{fma}\left(\sqrt{2}, \left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right), 2\right)}{\mathsf{fma}\left(\cos x, \frac{6}{\sqrt{5} + 1}, \mathsf{fma}\left(\cos y, -1.5 \cdot \left(\sqrt{5} + -3\right), 3\right)\right)} \]
Alternative 2
Accuracy99.3%
Cost79040
\[\frac{\frac{2 + \left(\sqrt{2} \cdot \left(\sin x + \sin y \cdot -0.0625\right)\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin x \cdot 0.0625 - \sin y\right)\right)}{3}}{\mathsf{fma}\left(\cos x, \sqrt{5} \cdot 0.5 + -0.5, 1 + \cos y \cdot \left(1.5 - \sqrt{1.25}\right)\right)} \]
Alternative 3
Accuracy99.3%
Cost72768
\[\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right)\right)}{3 + \left(\left(\cos y \cdot \left(\sqrt{5} + -3\right)\right) \cdot -1.5 + 1.5 \cdot \left(\cos x \cdot \left(\sqrt{5} + -1\right)\right)\right)} \]
Alternative 4
Accuracy99.4%
Cost72768
\[\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right)\right)}{3 - \left(\frac{\cos x \cdot -6}{\sqrt{5} + 1} + 1.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)} \]
Alternative 5
Accuracy81.3%
Cost67017
\[\begin{array}{l} t_0 := \frac{\sqrt{5}}{2}\\ \mathbf{if}\;x \leq -0.019 \lor \neg \left(x \leq 0.52\right):\\ \;\;\;\;\frac{2 - \left(\sqrt{2} \cdot \sin x\right) \cdot \left(\left(\cos x - \cos y\right) \cdot \left(\frac{\sin x}{16} - \sin y\right)\right)}{3 \cdot \left(1 + \left(\cos x \cdot \left(-0.5 + t_0\right) + \cos y \cdot \left(1.5 - t_0\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 - \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(-1 + \left(\cos y + 0.5 \cdot \left(x \cdot x\right)\right)\right)\right)\right)}{3 + \left(\left(\cos y \cdot \left(\sqrt{5} + -3\right)\right) \cdot -1.5 + 1.5 \cdot \left(\cos x \cdot \left(\sqrt{5} + -1\right)\right)\right)}\\ \end{array} \]
Alternative 6
Accuracy81.2%
Cost66889
\[\begin{array}{l} t_0 := \frac{\sqrt{5}}{2}\\ \mathbf{if}\;x \leq -0.0152 \lor \neg \left(x \leq 0.52\right):\\ \;\;\;\;\frac{2 - \left(\sqrt{2} \cdot \sin x\right) \cdot \left(\left(\cos x - \cos y\right) \cdot \left(\frac{\sin x}{16} - \sin y\right)\right)}{3 \cdot \left(1 + \left(\cos x \cdot \left(-0.5 + t_0\right) + \cos y \cdot \left(1.5 - t_0\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right)\right)}{3 - \left(\left(\sqrt{5} + -1\right) \cdot \left(-1.5 + \left(x \cdot x\right) \cdot 0.75\right) + 1.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)}\\ \end{array} \]
Alternative 7
Accuracy81.1%
Cost66633
\[\begin{array}{l} t_0 := \frac{\sqrt{5}}{2}\\ \mathbf{if}\;x \leq -0.0045 \lor \neg \left(x \leq 0.0082\right):\\ \;\;\;\;\frac{2 - \left(\sqrt{2} \cdot \sin x\right) \cdot \left(\left(\cos x - \cos y\right) \cdot \left(\frac{\sin x}{16} - \sin y\right)\right)}{3 \cdot \left(1 + \left(\cos x \cdot \left(-0.5 + t_0\right) + \cos y \cdot \left(1.5 - t_0\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(1 - \cos y\right)\right)\right)}{3 + \left(\left(\cos y \cdot \left(\sqrt{5} + -3\right)\right) \cdot -1.5 + \frac{6}{\frac{\sqrt{5} + 1}{\cos x}}\right)}\\ \end{array} \]
Alternative 8
Accuracy81.0%
Cost66505
\[\begin{array}{l} t_0 := \frac{\sqrt{5}}{2}\\ \mathbf{if}\;x \leq -0.00032 \lor \neg \left(x \leq 0.52\right):\\ \;\;\;\;\frac{2 - \left(\sqrt{2} \cdot \sin x\right) \cdot \left(\left(\cos x - \cos y\right) \cdot \left(\frac{\sin x}{16} - \sin y\right)\right)}{3 \cdot \left(1 + \left(\cos x \cdot \left(-0.5 + t_0\right) + \cos y \cdot \left(1.5 - t_0\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(1 - \cos y\right)\right)\right)}{3 + 1.5 \cdot \left(\left(\sqrt{5} + -1\right) - \cos y \cdot \left(\sqrt{5} + -3\right)\right)}\\ \end{array} \]
Alternative 9
Accuracy79.2%
Cost66372
\[\begin{array}{l} t_0 := \sin y + -0.0625 \cdot \sin x\\ t_1 := \sqrt{5} + -3\\ t_2 := \sqrt{5} + -1\\ \mathbf{if}\;x \leq -0.00058:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(t_0 \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right)\right)}{3 - \left(1.5 \cdot \left(\cos x \cdot \left(1 - \sqrt{5}\right)\right) + 1.5 \cdot t_1\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(t_0 \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(1 - \cos y\right)\right)\right)}{3 + 1.5 \cdot \left(t_2 - \cos y \cdot t_1\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \left(\left(\sqrt{2} \cdot \sin x\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot \left(\cos x + -1\right)}{3 \cdot \left(\left(1 + \cos x \cdot \frac{t_2}{2}\right) + \cos y \cdot \frac{3 - \sqrt{5}}{2}\right)}\\ \end{array} \]
Alternative 10
Accuracy79.2%
Cost66244
\[\begin{array}{l} t_0 := \sqrt{5} + -1\\ t_1 := \sin y + -0.0625 \cdot \sin x\\ t_2 := 3 - \sqrt{5}\\ \mathbf{if}\;x \leq -0.0006:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(t_1 \cdot \left(\left(\cos y - \cos x\right) \cdot \left(\sin y \cdot 0.0625 - \sin x\right)\right)\right)}{3 + 1.5 \cdot \left(t_2 + \cos x \cdot t_0\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(t_1 \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(1 - \cos y\right)\right)\right)}{3 + 1.5 \cdot \left(t_0 - \cos y \cdot \left(\sqrt{5} + -3\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \left(\left(\sqrt{2} \cdot \sin x\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot \left(\cos x + -1\right)}{3 \cdot \left(\left(1 + \cos x \cdot \frac{t_0}{2}\right) + \cos y \cdot \frac{t_2}{2}\right)}\\ \end{array} \]
Alternative 11
Accuracy79.3%
Cost60104
\[\begin{array}{l} t_0 := \sqrt{5} + -1\\ t_1 := \cos x + -1\\ \mathbf{if}\;x \leq -0.0004:\\ \;\;\;\;\frac{\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(t_1 \cdot {\sin x}^{2}\right)\right)}{3}}{\mathsf{fma}\left(\cos x, \sqrt{5} \cdot 0.5 + -0.5, 1 + \cos y \cdot \left(1.5 + \sqrt{5} \cdot -0.5\right)\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(1 - \cos y\right)\right)\right)}{3 + 1.5 \cdot \left(t_0 - \cos y \cdot \left(\sqrt{5} + -3\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \left(\left(\sqrt{2} \cdot \sin x\right) \cdot \left(\sin y - \frac{\sin x}{16}\right)\right) \cdot t_1}{3 \cdot \left(\left(1 + \cos x \cdot \frac{t_0}{2}\right) + \cos y \cdot \frac{3 - \sqrt{5}}{2}\right)}\\ \end{array} \]
Alternative 12
Accuracy79.2%
Cost59977
\[\begin{array}{l} \mathbf{if}\;x \leq -0.0013 \lor \neg \left(x \leq 0.52\right):\\ \;\;\;\;\frac{\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)}{3}}{\mathsf{fma}\left(\cos x, \sqrt{5} \cdot 0.5 + -0.5, 1 + \cos y \cdot \left(1.5 + \sqrt{5} \cdot -0.5\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + \sqrt{2} \cdot \left(\left(\sin y + -0.0625 \cdot \sin x\right) \cdot \left(\left(\sin x + \sin y \cdot -0.0625\right) \cdot \left(1 - \cos y\right)\right)\right)}{3 + 1.5 \cdot \left(\left(\sqrt{5} + -1\right) - \cos y \cdot \left(\sqrt{5} + -3\right)\right)}\\ \end{array} \]
Alternative 13
Accuracy79.0%
Cost59785
\[\begin{array}{l} \mathbf{if}\;x \leq -1.35 \cdot 10^{-5} \lor \neg \left(x \leq 9.2 \cdot 10^{-6}\right):\\ \;\;\;\;\frac{\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)}{3}}{\mathsf{fma}\left(\cos x, \sqrt{5} \cdot 0.5 + -0.5, 1 + \cos y \cdot \left(1.5 + \sqrt{5} \cdot -0.5\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(1 - \cos y\right) \cdot {\sin y}^{2}\right)\right)}{1.5 \cdot \left(\sqrt{5} + -1\right) + \left(3 + \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right) \cdot -1.5\right)}\\ \end{array} \]
Alternative 14
Accuracy79.0%
Cost59785
\[\begin{array}{l} \mathbf{if}\;y \leq -1.5 \cdot 10^{-6} \lor \neg \left(y \leq 3.5 \cdot 10^{-6}\right):\\ \;\;\;\;\frac{\frac{2 + 0.0625 \cdot \left(\left(\sqrt{2} \cdot {\sin y}^{2}\right) \cdot \left(\cos y + -1\right)\right)}{3}}{\mathsf{fma}\left(\cos x, \sqrt{5} \cdot 0.5 + -0.5, 1 + \cos y \cdot \left(1.5 + \sqrt{5} \cdot -0.5\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\mathsf{fma}\left(-0.0625, \sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right), 2\right)}{\mathsf{fma}\left(1.5, \left(3 - \sqrt{5}\right) + \cos x \cdot \left(\sqrt{5} + -1\right), 3\right)}\\ \end{array} \]
Alternative 15
Accuracy78.4%
Cost59140
\[\begin{array}{l} t_0 := \sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\\ t_1 := \sqrt{5} + -1\\ t_2 := \sqrt{5} + -3\\ \mathbf{if}\;x \leq -6.6 \cdot 10^{-6}:\\ \;\;\;\;\frac{\mathsf{fma}\left(-0.0625, t_0, 2\right)}{\mathsf{fma}\left(1.5, \left(3 - \sqrt{5}\right) + \cos x \cdot t_1, 3\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(1 - \cos y\right) \cdot {\sin y}^{2}\right)\right)}{1.5 \cdot t_1 + \left(3 + \left(\cos y \cdot t_2\right) \cdot -1.5\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{2 + -0.0625 \cdot t_0}{3 - 1.5 \cdot \left(t_2 + \cos x \cdot \frac{-4}{\sqrt{5} + 1}\right)}\\ \end{array} \]
Alternative 16
Accuracy78.3%
Cost46856
\[\begin{array}{l} t_0 := \sqrt{5} \cdot -0.5\\ t_1 := 2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)\\ t_2 := \cos x \cdot \left(\sqrt{5} + -1\right)\\ \mathbf{if}\;x \leq -0.00044:\\ \;\;\;\;\frac{t_1}{3 + 1.5 \cdot \left(\left(3 - \sqrt{5}\right) + t_2\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;0.3333333333333333 \cdot \frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(1 - \cos y\right) \cdot {\sin y}^{2}\right)\right)}{0.5 - \left(t_0 - \cos y \cdot \left(1.5 + t_0\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_1}{3 + 1.5 \cdot \left(\left(3 + t_2\right) - \sqrt{5}\right)}\\ \end{array} \]
Alternative 17
Accuracy78.4%
Cost46856
\[\begin{array}{l} t_0 := 2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)\\ t_1 := \sqrt{5} + -1\\ t_2 := \cos x \cdot t_1\\ \mathbf{if}\;x \leq -1.6 \cdot 10^{-5}:\\ \;\;\;\;\frac{t_0}{3 + 1.5 \cdot \left(\left(3 - \sqrt{5}\right) + t_2\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(1 - \cos y\right) \cdot {\sin y}^{2}\right)\right)}{1.5 \cdot t_1 + \left(3 + \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right) \cdot -1.5\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_0}{3 + 1.5 \cdot \left(\left(3 + t_2\right) - \sqrt{5}\right)}\\ \end{array} \]
Alternative 18
Accuracy78.4%
Cost46856
\[\begin{array}{l} t_0 := \sqrt{5} + -3\\ t_1 := 2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)\\ t_2 := \sqrt{5} + -1\\ \mathbf{if}\;x \leq -3.8 \cdot 10^{-6}:\\ \;\;\;\;\frac{t_1}{3 + 1.5 \cdot \left(\left(3 - \sqrt{5}\right) + \cos x \cdot t_2\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(1 - \cos y\right) \cdot {\sin y}^{2}\right)\right)}{1.5 \cdot t_2 + \left(3 + \left(\cos y \cdot t_0\right) \cdot -1.5\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_1}{3 - 1.5 \cdot \left(t_0 + \cos x \cdot \frac{-4}{\sqrt{5} + 1}\right)}\\ \end{array} \]
Alternative 19
Accuracy78.4%
Cost46856
\[\begin{array}{l} t_0 := 2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)\\ t_1 := \sqrt{5} + -3\\ \mathbf{if}\;x \leq -9 \cdot 10^{-6}:\\ \;\;\;\;\frac{t_0}{3 - \left(1.5 \cdot \left(\cos x \cdot \left(1 - \sqrt{5}\right)\right) + 1.5 \cdot t_1\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(1 - \cos y\right) \cdot {\sin y}^{2}\right)\right)}{1.5 \cdot \left(\sqrt{5} + -1\right) + \left(3 + \left(\cos y \cdot t_1\right) \cdot -1.5\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_0}{3 - 1.5 \cdot \left(t_1 + \cos x \cdot \frac{-4}{\sqrt{5} + 1}\right)}\\ \end{array} \]
Alternative 20
Accuracy78.3%
Cost46729
\[\begin{array}{l} t_0 := \sqrt{5} + -1\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{-6} \lor \neg \left(x \leq 0.52\right):\\ \;\;\;\;\frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)}{3 + 1.5 \cdot \left(\left(3 - \sqrt{5}\right) + \cos x \cdot t_0\right)}\\ \mathbf{else}:\\ \;\;\;\;0.3333333333333333 \cdot \frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos y + -1\right) \cdot \left(-0.5 + \frac{\cos \left(y + y\right)}{2}\right)\right)\right)}{1 - \left(-0.5 \cdot t_0 + 0.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)}\\ \end{array} \]
Alternative 21
Accuracy78.3%
Cost46728
\[\begin{array}{l} t_0 := 2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)\\ t_1 := \sqrt{5} + -1\\ t_2 := \cos x \cdot t_1\\ \mathbf{if}\;x \leq -1.15 \cdot 10^{-5}:\\ \;\;\;\;\frac{t_0}{3 + 1.5 \cdot \left(\left(3 - \sqrt{5}\right) + t_2\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;0.3333333333333333 \cdot \frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos y + -1\right) \cdot \left(-0.5 + \frac{\cos \left(y + y\right)}{2}\right)\right)\right)}{1 - \left(-0.5 \cdot t_1 + 0.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_0}{3 + 1.5 \cdot \left(3 + \left(t_2 - \sqrt{5}\right)\right)}\\ \end{array} \]
Alternative 22
Accuracy78.3%
Cost46728
\[\begin{array}{l} t_0 := 2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos x + -1\right) \cdot {\sin x}^{2}\right)\right)\\ t_1 := \sqrt{5} + -1\\ t_2 := \cos x \cdot t_1\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{-6}:\\ \;\;\;\;\frac{t_0}{3 + 1.5 \cdot \left(\left(3 - \sqrt{5}\right) + t_2\right)}\\ \mathbf{elif}\;x \leq 0.52:\\ \;\;\;\;0.3333333333333333 \cdot \frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos y + -1\right) \cdot \left(-0.5 + \frac{\cos \left(y + y\right)}{2}\right)\right)\right)}{1 - \left(-0.5 \cdot t_1 + 0.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_0}{3 + 1.5 \cdot \left(\left(3 + t_2\right) - \sqrt{5}\right)}\\ \end{array} \]
Alternative 23
Accuracy59.2%
Cost40640
\[0.3333333333333333 \cdot \frac{2 + -0.0625 \cdot \left(\sqrt{2} \cdot \left(\left(\cos y + -1\right) \cdot \left(-0.5 + \frac{\cos \left(y + y\right)}{2}\right)\right)\right)}{1 - \left(-0.5 \cdot \left(\sqrt{5} + -1\right) + 0.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)} \]
Alternative 24
Accuracy42.2%
Cost26432
\[\frac{1}{0.5 + 0.5 \cdot \mathsf{fma}\left(3 - \sqrt{5}, \cos y, \sqrt{5}\right)} \cdot 0.6666666666666666 \]
Alternative 25
Accuracy42.2%
Cost20288
\[-0.6666666666666666 \cdot \frac{1}{-1 + -0.5 \cdot \left(\sqrt{5} + \left(-1 - \cos y \cdot \left(\sqrt{5} + -3\right)\right)\right)} \]
Alternative 26
Accuracy42.2%
Cost20032
\[\frac{0.6666666666666666}{0.5 - 0.5 \cdot \left(\cos y \cdot \left(\sqrt{5} + -3\right) - \sqrt{5}\right)} \]
Alternative 27
Accuracy40.3%
Cost64
\[0.3333333333333333 \]

Error

Reproduce?

herbie shell --seed 2023133 
(FPCore (x y)
  :name "Diagrams.TwoD.Path.Metafont.Internal:hobbyF from diagrams-contrib-1.3.0.5"
  :precision binary64
  (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))))