Average Error: 12.7 → 0.2
Time: 17.6s
Precision: binary64
Cost: 14208
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5 \]
↓
\[{r}^{-2} \cdot 2 + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \left(r \cdot w\right)\right) \]
(FPCore (v w r)
 :precision binary64
 (-
  (-
   (+ 3.0 (/ 2.0 (* r r)))
   (/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v)))
  4.5))
↓
(FPCore (v w r)
 :precision binary64
 (+
  (* (pow r -2.0) 2.0)
  (- -1.5 (* (/ w (/ (/ (- 1.0 v) (fma v -0.25 0.375)) r)) (* r w)))))
double code(double v, double w, double r) {
	return ((3.0 + (2.0 / (r * r))) - (((0.125 * (3.0 - (2.0 * v))) * (((w * w) * r) * r)) / (1.0 - v))) - 4.5;
}
↓
double code(double v, double w, double r) {
	return (pow(r, -2.0) * 2.0) + (-1.5 - ((w / (((1.0 - v) / fma(v, -0.25, 0.375)) / r)) * (r * w)));
}

function code(v, w, r)
	return Float64(Float64(Float64(3.0 + Float64(2.0 / Float64(r * r))) - Float64(Float64(Float64(0.125 * Float64(3.0 - Float64(2.0 * v))) * Float64(Float64(Float64(w * w) * r) * r)) / Float64(1.0 - v))) - 4.5)
end
↓
function code(v, w, r)
	return Float64(Float64((r ^ -2.0) * 2.0) + Float64(-1.5 - Float64(Float64(w / Float64(Float64(Float64(1.0 - v) / fma(v, -0.25, 0.375)) / r)) * Float64(r * w))))
end

code[v_, w_, r_] := N[(N[(N[(3.0 + N[(2.0 / N[(r * r), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(0.125 * N[(3.0 - N[(2.0 * v), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(N[(w * w), $MachinePrecision] * r), $MachinePrecision] * r), $MachinePrecision]), $MachinePrecision] / N[(1.0 - v), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - 4.5), $MachinePrecision]
↓
code[v_, w_, r_] := N[(N[(N[Power[r, -2.0], $MachinePrecision] * 2.0), $MachinePrecision] + N[(-1.5 - N[(N[(w / N[(N[(N[(1.0 - v), $MachinePrecision] / N[(v * -0.25 + 0.375), $MachinePrecision]), $MachinePrecision] / r), $MachinePrecision]), $MachinePrecision] * N[(r * w), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5
↓
{r}^{-2} \cdot 2 + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \left(r \cdot w\right)\right)

Error

Derivation

  1. Initial program 12.7

    \[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5 \]

  2. Simplified0.3

    \[\leadsto \color{blue}{\frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \left(r \cdot w\right)\right)} \]
    Proof

    [Start]12.7

    \[ \left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5 \]

    sub-neg [=>]12.7

    \[ \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right)\right)} - 4.5 \]

    +-commutative [=>]12.7

    \[ \color{blue}{\left(\left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) + \left(3 + \frac{2}{r \cdot r}\right)\right)} - 4.5 \]

    associate--l+ [=>]12.6

    \[ \color{blue}{\left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) + \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right)} \]

    +-commutative [=>]12.6

    \[ \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right)} \]

    sub-neg [=>]12.6

    \[ \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) + \left(-4.5\right)\right)} + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) \]

    +-commutative [=>]12.6

    \[ \color{blue}{\left(\left(-4.5\right) + \left(3 + \frac{2}{r \cdot r}\right)\right)} + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) \]

    associate-+r+ [=>]12.6

    \[ \color{blue}{\left(\left(\left(-4.5\right) + 3\right) + \frac{2}{r \cdot r}\right)} + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) \]

    +-commutative [<=]12.6

    \[ \color{blue}{\left(\frac{2}{r \cdot r} + \left(\left(-4.5\right) + 3\right)\right)} + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) \]

    associate-+r+ [<=]12.6

    \[ \color{blue}{\frac{2}{r \cdot r} + \left(\left(\left(-4.5\right) + 3\right) + \left(-\frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right)\right)} \]

    sub-neg [<=]12.6

    \[ \frac{2}{r \cdot r} + \color{blue}{\left(\left(\left(-4.5\right) + 3\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right)} \]

    metadata-eval [=>]12.6

    \[ \frac{2}{r \cdot r} + \left(\left(\color{blue}{-4.5} + 3\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) \]

    metadata-eval [=>]12.6

    \[ \frac{2}{r \cdot r} + \left(\color{blue}{-1.5} - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) \]

    *-commutative [=>]12.6

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \color{blue}{\left(r \cdot \left(\left(w \cdot w\right) \cdot r\right)\right)}}{1 - v}\right) \]

    associate-*r* [=>]16.0

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{\color{blue}{\left(\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot r\right) \cdot \left(\left(w \cdot w\right) \cdot r\right)}}{1 - v}\right) \]

    *-commutative [<=]16.0

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{\color{blue}{\left(\left(w \cdot w\right) \cdot r\right) \cdot \left(\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot r\right)}}{1 - v}\right) \]

    associate-/l* [=>]14.2

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \color{blue}{\frac{\left(w \cdot w\right) \cdot r}{\frac{1 - v}{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot r}}}\right) \]

    associate-*l* [=>]9.5

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{\color{blue}{w \cdot \left(w \cdot r\right)}}{\frac{1 - v}{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot r}}\right) \]

    associate-/l* [=>]9.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \color{blue}{\frac{w}{\frac{\frac{1 - v}{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot r}}{w \cdot r}}}\right) \]

    associate-/r/ [=>]7.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \color{blue}{\frac{w}{\frac{1 - v}{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot r}} \cdot \left(w \cdot r\right)}\right) \]

    associate-/r* [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\color{blue}{\frac{\frac{1 - v}{0.125 \cdot \left(3 - 2 \cdot v\right)}}{r}}} \cdot \left(w \cdot r\right)\right) \]

    sub-neg [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{0.125 \cdot \color{blue}{\left(3 + \left(-2 \cdot v\right)\right)}}}{r}} \cdot \left(w \cdot r\right)\right) \]

    distribute-lft-in [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\color{blue}{0.125 \cdot 3 + 0.125 \cdot \left(-2 \cdot v\right)}}}{r}} \cdot \left(w \cdot r\right)\right) \]

    +-commutative [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\color{blue}{0.125 \cdot \left(-2 \cdot v\right) + 0.125 \cdot 3}}}{r}} \cdot \left(w \cdot r\right)\right) \]

    distribute-lft-neg-in [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{0.125 \cdot \color{blue}{\left(\left(-2\right) \cdot v\right)} + 0.125 \cdot 3}}{r}} \cdot \left(w \cdot r\right)\right) \]

    associate-*r* [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\color{blue}{\left(0.125 \cdot \left(-2\right)\right) \cdot v} + 0.125 \cdot 3}}{r}} \cdot \left(w \cdot r\right)\right) \]

    *-commutative [<=]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\color{blue}{v \cdot \left(0.125 \cdot \left(-2\right)\right)} + 0.125 \cdot 3}}{r}} \cdot \left(w \cdot r\right)\right) \]

    fma-def [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\color{blue}{\mathsf{fma}\left(v, 0.125 \cdot \left(-2\right), 0.125 \cdot 3\right)}}}{r}} \cdot \left(w \cdot r\right)\right) \]

    metadata-eval [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, 0.125 \cdot \color{blue}{-2}, 0.125 \cdot 3\right)}}{r}} \cdot \left(w \cdot r\right)\right) \]

    metadata-eval [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, \color{blue}{-0.25}, 0.125 \cdot 3\right)}}{r}} \cdot \left(w \cdot r\right)\right) \]

    metadata-eval [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, \color{blue}{0.375}\right)}}{r}} \cdot \left(w \cdot r\right)\right) \]

    *-commutative [=>]0.3

    \[ \frac{2}{r \cdot r} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \color{blue}{\left(r \cdot w\right)}\right) \]

  3. Applied egg-rr0.2

    \[\leadsto \color{blue}{{r}^{-2} \cdot 2} + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \left(r \cdot w\right)\right) \]

  4. Final simplification0.2

    \[\leadsto {r}^{-2} \cdot 2 + \left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \left(r \cdot w\right)\right) \]

Alternatives

Alternative 1
Error0.3
Cost7872
\[\left(-1.5 - \frac{w}{\frac{\frac{1 - v}{\mathsf{fma}\left(v, -0.25, 0.375\right)}}{r}} \cdot \left(r \cdot w\right)\right) + \frac{2}{r \cdot r} \]
Alternative 2
Error0.3
Cost7689
\[\begin{array}{l} \mathbf{if}\;v \leq -1 \cdot 10^{+35} \lor \neg \left(v \leq 6.6 \cdot 10^{+31}\right):\\ \;\;\;\;{r}^{-2} \cdot 2 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{4}{r}}\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{2}{r \cdot r} + \left(-1.5 - \frac{r \cdot w}{\frac{1}{\frac{w}{1 - v} \cdot \left(r \cdot \left(0.375 + v \cdot -0.25\right)\right)}}\right)\\ \end{array} \]
Alternative 3
Error0.3
Cost1992
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -1 \cdot 10^{+35}:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{elif}\;v \leq 4.6 \cdot 10^{+38}:\\ \;\;\;\;t_0 + \left(-1.5 - \frac{r \cdot w}{\frac{1}{\frac{w}{1 - v} \cdot \left(r \cdot \left(0.375 + v \cdot -0.25\right)\right)}}\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{4}{r}}\right) + \frac{\frac{2}{r}}{r}\\ \end{array} \]
Alternative 4
Error1.1
Cost1864
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -1.2 \cdot 10^{+75}:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{elif}\;v \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{1 - v}{r \cdot \left(0.375 + v \cdot -0.25\right)}}\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - r \cdot \frac{w}{\frac{4}{r \cdot w}}\right)\\ \end{array} \]
Alternative 5
Error1.1
Cost1736
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{elif}\;v \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{2.6666666666666665}{r} + -0.8888888888888888 \cdot \frac{v}{r}}\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - r \cdot \frac{w}{\frac{4}{r \cdot w}}\right)\\ \end{array} \]
Alternative 6
Error1.1
Cost1736
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{4}{r} + \frac{2}{r \cdot v}}\right)\\ \mathbf{elif}\;v \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{2.6666666666666665}{r} + -0.8888888888888888 \cdot \frac{v}{r}}\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - r \cdot \frac{w}{\frac{4}{r \cdot w}}\right)\\ \end{array} \]
Alternative 7
Error1.1
Cost1608
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{elif}\;v \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{2.6666666666666665 + v \cdot -0.8888888888888888}{r}}\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - r \cdot \frac{w}{\frac{4}{r \cdot w}}\right)\\ \end{array} \]
Alternative 8
Error0.8
Cost1353
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130 \lor \neg \left(v \leq 3.8 \cdot 10^{-7}\right):\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - 0.375 \cdot \left(\left(r \cdot w\right) \cdot \left(r \cdot w\right)\right)\right)\\ \end{array} \]
Alternative 9
Error0.7
Cost1353
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130 \lor \neg \left(v \leq 3.8 \cdot 10^{-7}\right):\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(w \cdot \left(r \cdot -0.375\right)\right)\right)\\ \end{array} \]
Alternative 10
Error0.7
Cost1353
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130 \lor \neg \left(v \leq 3.8 \cdot 10^{-7}\right):\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot 0.375\right)\right)\right)\\ \end{array} \]
Alternative 11
Error0.7
Cost1352
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{elif}\;v \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot 0.375\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \frac{w}{\frac{4}{r}}\right)\\ \end{array} \]
Alternative 12
Error1.2
Cost1352
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;v \leq -130:\\ \;\;\;\;t_0 + \left(-1.5 + \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot -0.25\right)\right)\right)\\ \mathbf{elif}\;v \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \left(-1.5 - \left(r \cdot w\right) \cdot \left(r \cdot \left(w \cdot 0.375\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 - r \cdot \frac{w}{\frac{4}{r \cdot w}}\right)\\ \end{array} \]
Alternative 13
Error8.6
Cost1348
\[\begin{array}{l} t_0 := \frac{2}{r \cdot r}\\ \mathbf{if}\;w \cdot w \leq 2 \cdot 10^{+34}:\\ \;\;\;\;t_0 + \left(-1.5 - 0.375 \cdot \left(r \cdot \left(w \cdot \left(r \cdot w\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(-1.5 + \left(w \cdot \left(w \cdot \left(r \cdot r\right)\right)\right) \cdot -0.375\right)\\ \end{array} \]
Alternative 14
Error10.2
Cost1088
\[\frac{2}{r \cdot r} + \left(-1.5 - 0.375 \cdot \left(r \cdot \left(w \cdot \left(r \cdot w\right)\right)\right)\right) \]
Alternative 15
Error8.6
Cost1088
\[\frac{2}{r \cdot r} + \left(-1.5 + \left(\left(r \cdot w\right) \cdot \left(r \cdot w\right)\right) \cdot -0.375\right) \]

Error

Reproduce

herbie shell --seed 2022354 
(FPCore (v w r)
  :name "Rosa's TurbineBenchmark"
  :precision binary64
  (- (- (+ 3.0 (/ 2.0 (* r r))) (/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))) 4.5))