Average Error: 0.0 → 0.0
Time: 16.1s
Precision: binary64
Cost: 832
\[x + \left(y - z\right) \cdot \left(t - x\right) \]
↓
\[\left(x + \left(y - z\right) \cdot t\right) + \left(z - y\right) \cdot x \]
(FPCore (x y z t) :precision binary64 (+ x (* (- y z) (- t x))))
↓
(FPCore (x y z t) :precision binary64 (+ (+ x (* (- y z) t)) (* (- z y) x)))
double code(double x, double y, double z, double t) {
	return x + ((y - z) * (t - x));
}
↓
double code(double x, double y, double z, double t) {
	return (x + ((y - z) * t)) + ((z - y) * x);
}

real(8) function code(x, y, z, t)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    code = x + ((y - z) * (t - x))
end function
↓
real(8) function code(x, y, z, t)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    code = (x + ((y - z) * t)) + ((z - y) * x)
end function

public static double code(double x, double y, double z, double t) {
	return x + ((y - z) * (t - x));
}
↓
public static double code(double x, double y, double z, double t) {
	return (x + ((y - z) * t)) + ((z - y) * x);
}

def code(x, y, z, t):
	return x + ((y - z) * (t - x))
↓
def code(x, y, z, t):
	return (x + ((y - z) * t)) + ((z - y) * x)

function code(x, y, z, t)
	return Float64(x + Float64(Float64(y - z) * Float64(t - x)))
end
↓
function code(x, y, z, t)
	return Float64(Float64(x + Float64(Float64(y - z) * t)) + Float64(Float64(z - y) * x))
end

function tmp = code(x, y, z, t)
	tmp = x + ((y - z) * (t - x));
end
↓
function tmp = code(x, y, z, t)
	tmp = (x + ((y - z) * t)) + ((z - y) * x);
end

code[x_, y_, z_, t_] := N[(x + N[(N[(y - z), $MachinePrecision] * N[(t - x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_, z_, t_] := N[(N[(x + N[(N[(y - z), $MachinePrecision] * t), $MachinePrecision]), $MachinePrecision] + N[(N[(z - y), $MachinePrecision] * x), $MachinePrecision]), $MachinePrecision]

x + \left(y - z\right) \cdot \left(t - x\right)
↓
\left(x + \left(y - z\right) \cdot t\right) + \left(z - y\right) \cdot x

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[x + \left(t \cdot \left(y - z\right) + \left(-x\right) \cdot \left(y - z\right)\right) \]

Derivation

  1. Initial program 0.0

    \[x + \left(y - z\right) \cdot \left(t - x\right) \]

  2. Applied egg-rr0.0

    \[\leadsto \color{blue}{\left(x + \left(y - z\right) \cdot t\right) + \left(z - y\right) \cdot x} \]

Alternatives

Alternative 1
Error39.8
Cost1180
\[\begin{array}{l} t_1 := -y \cdot x\\ \mathbf{if}\;y \leq -45000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-143}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 6.6 \cdot 10^{-262}:\\ \;\;\;\;-t \cdot z\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-20}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{+32}:\\ \;\;\;\;y \cdot t\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{+154}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{+222}:\\ \;\;\;\;y \cdot t\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 2
Error25.1
Cost1112
\[\begin{array}{l} t_1 := y \cdot \left(t - x\right)\\ t_2 := \left(1 + z\right) \cdot x\\ \mathbf{if}\;y \leq -3.3 \cdot 10^{-34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.05 \cdot 10^{-147}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -5.2 \cdot 10^{-237}:\\ \;\;\;\;-t \cdot z\\ \mathbf{elif}\;y \leq -9 \cdot 10^{-287}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-262}:\\ \;\;\;\;t \cdot \left(y - z\right)\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 3
Error20.4
Cost1112
\[\begin{array}{l} t_1 := \left(x - t\right) \cdot z\\ t_2 := y \cdot t + x\\ \mathbf{if}\;z \leq -2.7 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{+27}:\\ \;\;\;\;y \cdot \left(t - x\right)\\ \mathbf{elif}\;z \leq -6 \cdot 10^{-39}:\\ \;\;\;\;t \cdot \left(y - z\right)\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-169}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.5 \cdot 10^{-308}:\\ \;\;\;\;\left(1 - y\right) \cdot x\\ \mathbf{elif}\;z \leq 280:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 4
Error30.2
Cost980
\[\begin{array}{l} t_1 := t \cdot \left(y - z\right)\\ t_2 := -y \cdot x\\ \mathbf{if}\;x \leq -1.2 \cdot 10^{+33}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{-102}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 0.00027:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 7.5 \cdot 10^{+73}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]
Alternative 5
Error11.8
Cost976
\[\begin{array}{l} t_1 := \left(x - t\right) \cdot z\\ t_2 := x + t_1\\ t_3 := y \cdot \left(t - x\right)\\ \mathbf{if}\;z \leq -4.6 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -7.4 \cdot 10^{+30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.3 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8 \cdot 10^{+20}:\\ \;\;\;\;t_3 + x\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Error11.7
Cost976
\[\begin{array}{l} t_1 := \left(x - t\right) \cdot z\\ t_2 := x + t_1\\ \mathbf{if}\;z \leq -1.9 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -7.4 \cdot 10^{+30}:\\ \;\;\;\;y \cdot t + \left(-y \cdot x\right)\\ \mathbf{elif}\;z \leq -2.3 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{+18}:\\ \;\;\;\;y \cdot \left(t - x\right) + x\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 7
Error38.6
Cost916
\[\begin{array}{l} t_1 := -t \cdot z\\ \mathbf{if}\;z \leq -1.2 \cdot 10^{-38}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-107}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 5.8 \cdot 10^{-64}:\\ \;\;\;\;y \cdot t\\ \mathbf{elif}\;z \leq 4.3 \cdot 10^{-9}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{+185}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;z \cdot x\\ \end{array} \]
Alternative 8
Error29.6
Cost848
\[\begin{array}{l} t_1 := y \cdot \left(t - x\right)\\ \mathbf{if}\;y \leq -1.3 \cdot 10^{-36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.45 \cdot 10^{-147}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-261}:\\ \;\;\;\;t \cdot \left(y - z\right)\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-24}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Error23.7
Cost848
\[\begin{array}{l} t_1 := y \cdot \left(t - x\right)\\ t_2 := \left(1 + z\right) \cdot x\\ \mathbf{if}\;y \leq -3.8 \cdot 10^{-35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3.8 \cdot 10^{-141}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-262}:\\ \;\;\;\;\left(x - t\right) \cdot z\\ \mathbf{elif}\;y \leq 3 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Error19.0
Cost716
\[\begin{array}{l} t_1 := y \cdot \left(t - x\right)\\ \mathbf{if}\;y \leq -9.8 \cdot 10^{-18}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-201}:\\ \;\;\;\;x + \left(-t \cdot z\right)\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{-16}:\\ \;\;\;\;\left(1 + z\right) \cdot x\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 11
Error10.9
Cost712
\[\begin{array}{l} t_1 := y \cdot \left(t - x\right)\\ \mathbf{if}\;y \leq -1.1 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{-17}:\\ \;\;\;\;x + \left(x - t\right) \cdot z\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Error0.0
Cost576
\[x + \left(y - z\right) \cdot \left(t - x\right) \]
Alternative 13
Error37.8
Cost456
\[\begin{array}{l} \mathbf{if}\;y \leq -2.1 \cdot 10^{-19}:\\ \;\;\;\;y \cdot t\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-18}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y \cdot t\\ \end{array} \]
Alternative 14
Error47.5
Cost64
\[x \]

Error

Reproduce

herbie shell --seed 2023010 
(FPCore (x y z t)
  :name "Data.Metrics.Snapshot:quantile from metrics-0.3.0.2"
  :precision binary64

  :herbie-target
  (+ x (+ (* t (- y z)) (* (- x) (- y z))))

  (+ x (* (- y z) (- t x))))