Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

Average Accuracy: 99.4% → 99.6%

Time: 15.7s

Precision: binary64

Cost: 19776

Math

\[\left(3 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right) \]

↓

\[\mathsf{fma}\left(\sqrt{x} \cdot \left(y + -1\right), 3, \sqrt{\frac{0.1111111111111111}{x}}\right) \]

FPCore

(FPCore (x y)
 :precision binary64
 (* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

↓

(FPCore (x y)
 :precision binary64
 (fma (* (sqrt x) (+ y -1.0)) 3.0 (sqrt (/ 0.1111111111111111 x))))

C

double code(double x, double y) {
	return (3.0 * sqrt(x)) * ((y + (1.0 / (x * 9.0))) - 1.0);
}

↓

double code(double x, double y) {
	return fma((sqrt(x) * (y + -1.0)), 3.0, sqrt((0.1111111111111111 / x)));
}

Julia

function code(x, y)
	return Float64(Float64(3.0 * sqrt(x)) * Float64(Float64(y + Float64(1.0 / Float64(x * 9.0))) - 1.0))
end

↓

function code(x, y)
	return fma(Float64(sqrt(x) * Float64(y + -1.0)), 3.0, sqrt(Float64(0.1111111111111111 / x)))
end

Wolfram

code[x_, y_] := N[(N[(3.0 * N[Sqrt[x], $MachinePrecision]), $MachinePrecision] * N[(N[(y + N[(1.0 / N[(x * 9.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_] := N[(N[(N[Sqrt[x], $MachinePrecision] * N[(y + -1.0), $MachinePrecision]), $MachinePrecision] * 3.0 + N[Sqrt[N[(0.1111111111111111 / x), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]

Target

Original	99.4%
Target	99.4%
Herbie	99.6%

\[3 \cdot \left(y \cdot \sqrt{x} + \left(\frac{1}{x \cdot 9} - 1\right) \cdot \sqrt{x}\right) \]

Derivation

1. Initial program 99.4%

   \[\left(3 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right) \]

2. Simplified 99.4%

   \[\leadsto \color{blue}{\left(3 \cdot \sqrt{x}\right) \cdot \left(\frac{0.1111111111111111}{x} + \left(y - 1\right)\right)} \]
   Proof

   [Start] 99.4	\[ \left(3 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right) \]
   +-commutative [=>] 99.4	\[ \left(3 \cdot \sqrt{x}\right) \cdot \left(\color{blue}{\left(\frac{1}{x \cdot 9} + y\right)} - 1\right) \]
   associate--l+ [=>] 99.4	\[ \left(3 \cdot \sqrt{x}\right) \cdot \color{blue}{\left(\frac{1}{x \cdot 9} + \left(y - 1\right)\right)} \]
   distribute-rgt-in [=>] 99.4	\[ \color{blue}{\frac{1}{x \cdot 9} \cdot \left(3 \cdot \sqrt{x}\right) + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right)} \]
   remove-double-neg [<=] 99.4	\[ \color{blue}{\left(-\left(-\frac{1}{x \cdot 9} \cdot \left(3 \cdot \sqrt{x}\right)\right)\right)} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   distribute-lft-neg-in [=>] 99.4	\[ \left(-\color{blue}{\left(-\frac{1}{x \cdot 9}\right) \cdot \left(3 \cdot \sqrt{x}\right)}\right) + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   distribute-rgt-neg-in [=>] 99.4	\[ \color{blue}{\left(-\frac{1}{x \cdot 9}\right) \cdot \left(-3 \cdot \sqrt{x}\right)} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   mul-1-neg [<=] 99.4	\[ \left(-\frac{1}{x \cdot 9}\right) \cdot \color{blue}{\left(-1 \cdot \left(3 \cdot \sqrt{x}\right)\right)} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   metadata-eval [<=] 99.4	\[ \left(-\frac{1}{x \cdot 9}\right) \cdot \left(\color{blue}{\left(-1\right)} \cdot \left(3 \cdot \sqrt{x}\right)\right) + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   *-commutative [=>] 99.4	\[ \left(-\frac{1}{\color{blue}{9 \cdot x}}\right) \cdot \left(\left(-1\right) \cdot \left(3 \cdot \sqrt{x}\right)\right) + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   associate-/r* [=>] 99.4	\[ \left(-\color{blue}{\frac{\frac{1}{9}}{x}}\right) \cdot \left(\left(-1\right) \cdot \left(3 \cdot \sqrt{x}\right)\right) + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   distribute-neg-frac [=>] 99.4	\[ \color{blue}{\frac{-\frac{1}{9}}{x}} \cdot \left(\left(-1\right) \cdot \left(3 \cdot \sqrt{x}\right)\right) + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   *-commutative [<=] 99.4	\[ \frac{-\frac{1}{9}}{x} \cdot \color{blue}{\left(\left(3 \cdot \sqrt{x}\right) \cdot \left(-1\right)\right)} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   associate-/r/ [<=] 99.4	\[ \color{blue}{\frac{-\frac{1}{9}}{\frac{x}{\left(3 \cdot \sqrt{x}\right) \cdot \left(-1\right)}}} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   associate-/l/ [<=] 99.4	\[ \frac{-\frac{1}{9}}{\color{blue}{\frac{\frac{x}{-1}}{3 \cdot \sqrt{x}}}} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]
   associate-/r/ [=>] 99.4	\[ \color{blue}{\frac{-\frac{1}{9}}{\frac{x}{-1}} \cdot \left(3 \cdot \sqrt{x}\right)} + \left(y - 1\right) \cdot \left(3 \cdot \sqrt{x}\right) \]

3. Applied egg-rr 99.5%

   \[\leadsto \color{blue}{\frac{\sqrt{x \cdot 9}}{x \cdot 9} + \sqrt{x \cdot 9} \cdot \left(y + -1\right)} \]
   Proof

   [Start] 99.4	\[ \left(3 \cdot \sqrt{x}\right) \cdot \left(\frac{0.1111111111111111}{x} + \left(y - 1\right)\right) \]
   distribute-lft-in [=>] 99.4	\[ \color{blue}{\left(3 \cdot \sqrt{x}\right) \cdot \frac{0.1111111111111111}{x} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right)} \]
   clear-num [=>] 99.3	\[ \left(3 \cdot \sqrt{x}\right) \cdot \color{blue}{\frac{1}{\frac{x}{0.1111111111111111}}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   un-div-inv [=>] 99.4	\[ \color{blue}{\frac{3 \cdot \sqrt{x}}{\frac{x}{0.1111111111111111}}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   add-sqr-sqrt [=>] 99.2	\[ \frac{\color{blue}{\sqrt{3 \cdot \sqrt{x}} \cdot \sqrt{3 \cdot \sqrt{x}}}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   sqrt-unprod [=>] 99.3	\[ \frac{\color{blue}{\sqrt{\left(3 \cdot \sqrt{x}\right) \cdot \left(3 \cdot \sqrt{x}\right)}}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   *-commutative [=>] 99.3	\[ \frac{\sqrt{\color{blue}{\left(\sqrt{x} \cdot 3\right)} \cdot \left(3 \cdot \sqrt{x}\right)}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   *-commutative [=>] 99.3	\[ \frac{\sqrt{\left(\sqrt{x} \cdot 3\right) \cdot \color{blue}{\left(\sqrt{x} \cdot 3\right)}}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   swap-sqr [=>] 99.3	\[ \frac{\sqrt{\color{blue}{\left(\sqrt{x} \cdot \sqrt{x}\right) \cdot \left(3 \cdot 3\right)}}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   add-sqr-sqrt [<=] 99.3	\[ \frac{\sqrt{\color{blue}{x} \cdot \left(3 \cdot 3\right)}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   metadata-eval [=>] 99.3	\[ \frac{\sqrt{x \cdot \color{blue}{9}}}{\frac{x}{0.1111111111111111}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   div-inv [=>] 99.4	\[ \frac{\sqrt{x \cdot 9}}{\color{blue}{x \cdot \frac{1}{0.1111111111111111}}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]
   metadata-eval [=>] 99.4	\[ \frac{\sqrt{x \cdot 9}}{x \cdot \color{blue}{9}} + \left(3 \cdot \sqrt{x}\right) \cdot \left(y - 1\right) \]

4. Applied egg-rr 99.6%

   \[\leadsto \color{blue}{\mathsf{fma}\left(\left(y + -1\right) \cdot \sqrt{x}, 3, \sqrt{\frac{0.1111111111111111}{x}}\right)} \]
   Proof

   [Start] 99.5	\[ \frac{\sqrt{x \cdot 9}}{x \cdot 9} + \sqrt{x \cdot 9} \cdot \left(y + -1\right) \]
   +-commutative [=>] 99.5	\[ \color{blue}{\sqrt{x \cdot 9} \cdot \left(y + -1\right) + \frac{\sqrt{x \cdot 9}}{x \cdot 9}} \]
   *-commutative [=>] 99.5	\[ \color{blue}{\left(y + -1\right) \cdot \sqrt{x \cdot 9}} + \frac{\sqrt{x \cdot 9}}{x \cdot 9} \]
   sqrt-prod [=>] 99.4	\[ \left(y + -1\right) \cdot \color{blue}{\left(\sqrt{x} \cdot \sqrt{9}\right)} + \frac{\sqrt{x \cdot 9}}{x \cdot 9} \]
   associate-*r* [=>] 99.4	\[ \color{blue}{\left(\left(y + -1\right) \cdot \sqrt{x}\right) \cdot \sqrt{9}} + \frac{\sqrt{x \cdot 9}}{x \cdot 9} \]
   fma-def [=>] 99.4	\[ \color{blue}{\mathsf{fma}\left(\left(y + -1\right) \cdot \sqrt{x}, \sqrt{9}, \frac{\sqrt{x \cdot 9}}{x \cdot 9}\right)} \]
   metadata-eval [=>] 99.4	\[ \mathsf{fma}\left(\left(y + -1\right) \cdot \sqrt{x}, \color{blue}{3}, \frac{\sqrt{x \cdot 9}}{x \cdot 9}\right) \]
   add-sqr-sqrt [=>] 99.2	\[ \mathsf{fma}\left(\left(y + -1\right) \cdot \sqrt{x}, 3, \color{blue}{\sqrt{\frac{\sqrt{x \cdot 9}}{x \cdot 9}} \cdot \sqrt{\frac{\sqrt{x \cdot 9}}{x \cdot 9}}}\right) \]
   sqrt-unprod [=>] 99.4	\[ \mathsf{fma}\left(\left(y + -1\right) \cdot \sqrt{x}, 3, \color{blue}{\sqrt{\frac{\sqrt{x \cdot 9}}{x \cdot 9} \cdot \frac{\sqrt{x \cdot 9}}{x \cdot 9}}}\right) \]
   frac-2neg [=>] 99.4	\[ \mathsf{fma}\left(\left(y + -1\right) \cdot \sqrt{x}, 3, \sqrt{\color{blue}{\frac{-\sqrt{x \cdot 9}}{-x \cdot 9}} \cdot \frac{\sqrt{x \cdot 9}}{x \cdot 9}}\right) \]

5. Final simplification 99.6%

   \[\leadsto \mathsf{fma}\left(\sqrt{x} \cdot \left(y + -1\right), 3, \sqrt{\frac{0.1111111111111111}{x}}\right) \]

Alternatives

Alternative 1
Accuracy	99.5%
Cost	13760

\[\begin{array}{l} t_0 := \sqrt{x \cdot 9}\\ \frac{t_0}{x \cdot 9} + \left(y + -1\right) \cdot t_0 \end{array} \]

Alternative 2
Accuracy	57.0%
Cost	7776

\[\begin{array}{l} t_0 := 3 \cdot \left(y \cdot \sqrt{x}\right)\\ t_1 := \sqrt{x} \cdot -3\\ t_2 := \sqrt{x} \cdot \frac{0.3333333333333333}{x}\\ \mathbf{if}\;y \leq -1.05 \cdot 10^{+97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{+57}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -2.75 \cdot 10^{-98}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.6 \cdot 10^{-203}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Accuracy	56.8%
Cost	7776

\[\begin{array}{l} t_0 := 3 \cdot \left(y \cdot \sqrt{x}\right)\\ t_1 := \sqrt{x} \cdot -3\\ t_2 := \sqrt{x} \cdot \frac{0.3333333333333333}{x}\\ \mathbf{if}\;y \leq -1.05 \cdot 10^{+97}:\\ \;\;\;\;y \cdot \sqrt{x \cdot 9}\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+58}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -5 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 9.6 \cdot 10^{-242}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Accuracy	56.7%
Cost	7776

\[\begin{array}{l} t_0 := 3 \cdot \left(y \cdot \sqrt{x}\right)\\ t_1 := \sqrt{x} \cdot -3\\ t_2 := \sqrt{x} \cdot \frac{0.3333333333333333}{x}\\ \mathbf{if}\;y \leq -1.5 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq -5.8 \cdot 10^{+54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-99}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{-200}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 10^{-68}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Accuracy	56.9%
Cost	7776

\[\begin{array}{l} t_0 := 3 \cdot \left(y \cdot \sqrt{x}\right)\\ t_1 := \sqrt{x} \cdot -3\\ t_2 := 3 \cdot \left(\sqrt{x} \cdot \frac{0.1111111111111111}{x}\right)\\ \mathbf{if}\;y \leq -1.1 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq -1.52 \cdot 10^{+59}:\\ \;\;\;\;\sqrt{x} \cdot \frac{0.3333333333333333}{x}\\ \mathbf{elif}\;y \leq -1:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-99}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -8.5 \cdot 10^{-201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.22 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 6
Accuracy	84.1%
Cost	7505

\[\begin{array}{l} \mathbf{if}\;y \leq -1.05 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq -8.8 \cdot 10^{+58}:\\ \;\;\;\;\sqrt{x} \cdot \left(-3 - \frac{-0.3333333333333333}{x}\right)\\ \mathbf{elif}\;y \leq -1.9 \cdot 10^{-15} \lor \neg \left(y \leq 2.7 \cdot 10^{-10}\right):\\ \;\;\;\;\left(y + -1\right) \cdot \left(\sqrt{x} \cdot 3\right)\\ \mathbf{else}:\\ \;\;\;\;3 \cdot \left(\sqrt{x} \cdot \left(-1 + \frac{0.1111111111111111}{x}\right)\right)\\ \end{array} \]

Alternative 7
Accuracy	84.0%
Cost	7377

\[\begin{array}{l} \mathbf{if}\;y \leq -1.15 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq -1.48 \cdot 10^{+54} \lor \neg \left(y \leq -1.9 \cdot 10^{-15}\right) \land y \leq 2.7 \cdot 10^{-10}:\\ \;\;\;\;\sqrt{x} \cdot \left(-3 - \frac{-0.3333333333333333}{x}\right)\\ \mathbf{else}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3 - 3\right)\\ \end{array} \]

Alternative 8
Accuracy	83.8%
Cost	7377

\[\begin{array}{l} \mathbf{if}\;y \leq -1.05 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq -8.6 \cdot 10^{+54} \lor \neg \left(y \leq -1.6 \cdot 10^{-20}\right) \land y \leq 2.15 \cdot 10^{-10}:\\ \;\;\;\;\sqrt{x} \cdot \left(-3 - \frac{-0.3333333333333333}{x}\right)\\ \mathbf{else}:\\ \;\;\;\;\sqrt{x \cdot 9} \cdot \left(y + -1\right)\\ \end{array} \]

Alternative 9
Accuracy	84.1%
Cost	7377

\[\begin{array}{l} \mathbf{if}\;y \leq -1.05 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{+57} \lor \neg \left(y \leq -1.9 \cdot 10^{-15}\right) \land y \leq 2.7 \cdot 10^{-10}:\\ \;\;\;\;\sqrt{x} \cdot \left(-3 - \frac{-0.3333333333333333}{x}\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y + -1\right) \cdot \left(\sqrt{x} \cdot 3\right)\\ \end{array} \]

Alternative 10
Accuracy	99.5%
Cost	7232

\[\sqrt{x \cdot 9} \cdot \left(-1 + \left(y + \frac{1}{x \cdot 9}\right)\right) \]

Alternative 11
Accuracy	84.0%
Cost	7112

\[\begin{array}{l} \mathbf{if}\;y \leq -1.05 \cdot 10^{+97}:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3\right)\\ \mathbf{elif}\;y \leq 160000:\\ \;\;\;\;\sqrt{x} \cdot \left(-3 - \frac{-0.3333333333333333}{x}\right)\\ \mathbf{else}:\\ \;\;\;\;3 \cdot \left(y \cdot \sqrt{x}\right)\\ \end{array} \]

Alternative 12
Accuracy	98.2%
Cost	7108

\[\begin{array}{l} \mathbf{if}\;x \leq 0.11:\\ \;\;\;\;\sqrt{x} \cdot \left(y \cdot 3 - \frac{-0.3333333333333333}{x}\right)\\ \mathbf{else}:\\ \;\;\;\;\sqrt{x \cdot 9} \cdot \left(y + -1\right)\\ \end{array} \]

Alternative 13
Accuracy	99.4%
Cost	7104

\[\sqrt{x \cdot 9} \cdot \left(\frac{0.1111111111111111}{x} + \left(y + -1\right)\right) \]

Alternative 14
Accuracy	58.1%
Cost	6985

\[\begin{array}{l} \mathbf{if}\;y \leq -1 \lor \neg \left(y \leq 1\right):\\ \;\;\;\;3 \cdot \left(y \cdot \sqrt{x}\right)\\ \mathbf{else}:\\ \;\;\;\;\sqrt{x} \cdot -3\\ \end{array} \]

Alternative 15
Accuracy	3.3%
Cost	6592

\[\sqrt{x \cdot 9} \]

Alternative 16
Accuracy	27.2%
Cost	6592

\[\sqrt{x} \cdot -3 \]

Reproduce

herbie shell --seed 2023147 
(FPCore (x y)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B"
  :precision binary64

  :herbie-target
  (* 3.0 (+ (* y (sqrt x)) (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))))

  (* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))