
(FPCore (x y z t) :precision binary64 (+ x (* (- y x) (/ z t))))
double code(double x, double y, double z, double t) {
return x + ((y - x) * (z / t));
}
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 - x) * (z / t))
end function
public static double code(double x, double y, double z, double t) {
return x + ((y - x) * (z / t));
}
def code(x, y, z, t): return x + ((y - x) * (z / t))
function code(x, y, z, t) return Float64(x + Float64(Float64(y - x) * Float64(z / t))) end
function tmp = code(x, y, z, t) tmp = x + ((y - x) * (z / t)); end
code[x_, y_, z_, t_] := N[(x + N[(N[(y - x), $MachinePrecision] * N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
x + \left(y - x\right) \cdot \frac{z}{t}
\end{array}
Sampling outcomes in binary64 precision:
Herbie found 11 alternatives:
| Alternative | Accuracy | Speedup |
|---|
(FPCore (x y z t) :precision binary64 (+ x (* (- y x) (/ z t))))
double code(double x, double y, double z, double t) {
return x + ((y - x) * (z / t));
}
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 - x) * (z / t))
end function
public static double code(double x, double y, double z, double t) {
return x + ((y - x) * (z / t));
}
def code(x, y, z, t): return x + ((y - x) * (z / t))
function code(x, y, z, t) return Float64(x + Float64(Float64(y - x) * Float64(z / t))) end
function tmp = code(x, y, z, t) tmp = x + ((y - x) * (z / t)); end
code[x_, y_, z_, t_] := N[(x + N[(N[(y - x), $MachinePrecision] * N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
x + \left(y - x\right) \cdot \frac{z}{t}
\end{array}
(FPCore (x y z t) :precision binary64 (+ x (/ (- y x) (/ t z))))
double code(double x, double y, double z, double t) {
return x + ((y - x) / (t / z));
}
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 - x) / (t / z))
end function
public static double code(double x, double y, double z, double t) {
return x + ((y - x) / (t / z));
}
def code(x, y, z, t): return x + ((y - x) / (t / z))
function code(x, y, z, t) return Float64(x + Float64(Float64(y - x) / Float64(t / z))) end
function tmp = code(x, y, z, t) tmp = x + ((y - x) / (t / z)); end
code[x_, y_, z_, t_] := N[(x + N[(N[(y - x), $MachinePrecision] / N[(t / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
x + \frac{y - x}{\frac{t}{z}}
\end{array}
Initial program 97.2%
clear-num97.2%
un-div-inv97.4%
Applied egg-rr97.4%
(FPCore (x y z t) :precision binary64 (if (or (<= (/ z t) -500.0) (not (<= (/ z t) 1e-45))) (* x (/ z (- t))) x))
double code(double x, double y, double z, double t) {
double tmp;
if (((z / t) <= -500.0) || !((z / t) <= 1e-45)) {
tmp = x * (z / -t);
} else {
tmp = x;
}
return tmp;
}
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
real(8) :: tmp
if (((z / t) <= (-500.0d0)) .or. (.not. ((z / t) <= 1d-45))) then
tmp = x * (z / -t)
else
tmp = x
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if (((z / t) <= -500.0) || !((z / t) <= 1e-45)) {
tmp = x * (z / -t);
} else {
tmp = x;
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if ((z / t) <= -500.0) or not ((z / t) <= 1e-45): tmp = x * (z / -t) else: tmp = x return tmp
function code(x, y, z, t) tmp = 0.0 if ((Float64(z / t) <= -500.0) || !(Float64(z / t) <= 1e-45)) tmp = Float64(x * Float64(z / Float64(-t))); else tmp = x; end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if (((z / t) <= -500.0) || ~(((z / t) <= 1e-45))) tmp = x * (z / -t); else tmp = x; end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[Or[LessEqual[N[(z / t), $MachinePrecision], -500.0], N[Not[LessEqual[N[(z / t), $MachinePrecision], 1e-45]], $MachinePrecision]], N[(x * N[(z / (-t)), $MachinePrecision]), $MachinePrecision], x]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;\frac{z}{t} \leq -500 \lor \neg \left(\frac{z}{t} \leq 10^{-45}\right):\\
\;\;\;\;x \cdot \frac{z}{-t}\\
\mathbf{else}:\\
\;\;\;\;x\\
\end{array}
\end{array}
if (/.f64 z t) < -500 or 9.99999999999999984e-46 < (/.f64 z t) Initial program 96.1%
Taylor expanded in x around inf 57.0%
mul-1-neg57.0%
unsub-neg57.0%
Simplified57.0%
Taylor expanded in z around inf 55.4%
neg-mul-155.4%
distribute-neg-frac255.4%
Simplified55.4%
if -500 < (/.f64 z t) < 9.99999999999999984e-46Initial program 98.3%
Taylor expanded in z around 0 75.1%
Final simplification65.4%
(FPCore (x y z t) :precision binary64 (if (<= (/ z t) -500.0) (* x (/ z (- t))) (if (<= (/ z t) 1e-45) x (/ (* x (- z)) t))))
double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= -500.0) {
tmp = x * (z / -t);
} else if ((z / t) <= 1e-45) {
tmp = x;
} else {
tmp = (x * -z) / t;
}
return tmp;
}
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
real(8) :: tmp
if ((z / t) <= (-500.0d0)) then
tmp = x * (z / -t)
else if ((z / t) <= 1d-45) then
tmp = x
else
tmp = (x * -z) / t
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= -500.0) {
tmp = x * (z / -t);
} else if ((z / t) <= 1e-45) {
tmp = x;
} else {
tmp = (x * -z) / t;
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if (z / t) <= -500.0: tmp = x * (z / -t) elif (z / t) <= 1e-45: tmp = x else: tmp = (x * -z) / t return tmp
function code(x, y, z, t) tmp = 0.0 if (Float64(z / t) <= -500.0) tmp = Float64(x * Float64(z / Float64(-t))); elseif (Float64(z / t) <= 1e-45) tmp = x; else tmp = Float64(Float64(x * Float64(-z)) / t); end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if ((z / t) <= -500.0) tmp = x * (z / -t); elseif ((z / t) <= 1e-45) tmp = x; else tmp = (x * -z) / t; end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[LessEqual[N[(z / t), $MachinePrecision], -500.0], N[(x * N[(z / (-t)), $MachinePrecision]), $MachinePrecision], If[LessEqual[N[(z / t), $MachinePrecision], 1e-45], x, N[(N[(x * (-z)), $MachinePrecision] / t), $MachinePrecision]]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;\frac{z}{t} \leq -500:\\
\;\;\;\;x \cdot \frac{z}{-t}\\
\mathbf{elif}\;\frac{z}{t} \leq 10^{-45}:\\
\;\;\;\;x\\
\mathbf{else}:\\
\;\;\;\;\frac{x \cdot \left(-z\right)}{t}\\
\end{array}
\end{array}
if (/.f64 z t) < -500Initial program 98.5%
Taylor expanded in x around inf 53.8%
mul-1-neg53.8%
unsub-neg53.8%
Simplified53.8%
Taylor expanded in z around inf 51.9%
neg-mul-151.9%
distribute-neg-frac251.9%
Simplified51.9%
if -500 < (/.f64 z t) < 9.99999999999999984e-46Initial program 98.3%
Taylor expanded in z around 0 75.1%
if 9.99999999999999984e-46 < (/.f64 z t) Initial program 93.3%
Taylor expanded in x around inf 60.9%
mul-1-neg60.9%
unsub-neg60.9%
Simplified60.9%
Taylor expanded in z around inf 59.7%
neg-mul-159.7%
distribute-neg-frac259.7%
Simplified59.7%
*-commutative59.7%
distribute-frac-neg259.7%
distribute-frac-neg59.7%
associate-*l/61.4%
Applied egg-rr61.4%
Final simplification65.8%
(FPCore (x y z t) :precision binary64 (if (<= (/ z t) -500.0) (* x (/ z (- t))) (if (<= (/ z t) 1e-45) x (* z (/ x (- t))))))
double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= -500.0) {
tmp = x * (z / -t);
} else if ((z / t) <= 1e-45) {
tmp = x;
} else {
tmp = z * (x / -t);
}
return tmp;
}
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
real(8) :: tmp
if ((z / t) <= (-500.0d0)) then
tmp = x * (z / -t)
else if ((z / t) <= 1d-45) then
tmp = x
else
tmp = z * (x / -t)
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= -500.0) {
tmp = x * (z / -t);
} else if ((z / t) <= 1e-45) {
tmp = x;
} else {
tmp = z * (x / -t);
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if (z / t) <= -500.0: tmp = x * (z / -t) elif (z / t) <= 1e-45: tmp = x else: tmp = z * (x / -t) return tmp
function code(x, y, z, t) tmp = 0.0 if (Float64(z / t) <= -500.0) tmp = Float64(x * Float64(z / Float64(-t))); elseif (Float64(z / t) <= 1e-45) tmp = x; else tmp = Float64(z * Float64(x / Float64(-t))); end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if ((z / t) <= -500.0) tmp = x * (z / -t); elseif ((z / t) <= 1e-45) tmp = x; else tmp = z * (x / -t); end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[LessEqual[N[(z / t), $MachinePrecision], -500.0], N[(x * N[(z / (-t)), $MachinePrecision]), $MachinePrecision], If[LessEqual[N[(z / t), $MachinePrecision], 1e-45], x, N[(z * N[(x / (-t)), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;\frac{z}{t} \leq -500:\\
\;\;\;\;x \cdot \frac{z}{-t}\\
\mathbf{elif}\;\frac{z}{t} \leq 10^{-45}:\\
\;\;\;\;x\\
\mathbf{else}:\\
\;\;\;\;z \cdot \frac{x}{-t}\\
\end{array}
\end{array}
if (/.f64 z t) < -500Initial program 98.5%
Taylor expanded in x around inf 53.8%
mul-1-neg53.8%
unsub-neg53.8%
Simplified53.8%
Taylor expanded in z around inf 51.9%
neg-mul-151.9%
distribute-neg-frac251.9%
Simplified51.9%
if -500 < (/.f64 z t) < 9.99999999999999984e-46Initial program 98.3%
Taylor expanded in z around 0 75.1%
if 9.99999999999999984e-46 < (/.f64 z t) Initial program 93.3%
Taylor expanded in x around inf 60.9%
mul-1-neg60.9%
unsub-neg60.9%
Simplified60.9%
Taylor expanded in z around inf 59.7%
neg-mul-159.7%
distribute-neg-frac259.7%
Simplified59.7%
Taylor expanded in x around 0 61.4%
mul-1-neg61.4%
distribute-neg-frac261.4%
*-commutative61.4%
associate-/l*59.9%
Simplified59.9%
(FPCore (x y z t) :precision binary64 (if (or (<= y -0.061) (not (<= y 2.5e-33))) (+ x (* y (/ z t))) (- x (/ x (/ t z)))))
double code(double x, double y, double z, double t) {
double tmp;
if ((y <= -0.061) || !(y <= 2.5e-33)) {
tmp = x + (y * (z / t));
} else {
tmp = x - (x / (t / z));
}
return tmp;
}
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
real(8) :: tmp
if ((y <= (-0.061d0)) .or. (.not. (y <= 2.5d-33))) then
tmp = x + (y * (z / t))
else
tmp = x - (x / (t / z))
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if ((y <= -0.061) || !(y <= 2.5e-33)) {
tmp = x + (y * (z / t));
} else {
tmp = x - (x / (t / z));
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if (y <= -0.061) or not (y <= 2.5e-33): tmp = x + (y * (z / t)) else: tmp = x - (x / (t / z)) return tmp
function code(x, y, z, t) tmp = 0.0 if ((y <= -0.061) || !(y <= 2.5e-33)) tmp = Float64(x + Float64(y * Float64(z / t))); else tmp = Float64(x - Float64(x / Float64(t / z))); end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if ((y <= -0.061) || ~((y <= 2.5e-33))) tmp = x + (y * (z / t)); else tmp = x - (x / (t / z)); end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[Or[LessEqual[y, -0.061], N[Not[LessEqual[y, 2.5e-33]], $MachinePrecision]], N[(x + N[(y * N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x - N[(x / N[(t / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;y \leq -0.061 \lor \neg \left(y \leq 2.5 \cdot 10^{-33}\right):\\
\;\;\;\;x + y \cdot \frac{z}{t}\\
\mathbf{else}:\\
\;\;\;\;x - \frac{x}{\frac{t}{z}}\\
\end{array}
\end{array}
if y < -0.060999999999999999 or 2.50000000000000014e-33 < y Initial program 98.3%
Taylor expanded in y around inf 86.5%
associate-*r/91.6%
Simplified91.6%
if -0.060999999999999999 < y < 2.50000000000000014e-33Initial program 96.1%
clear-num96.1%
un-div-inv96.5%
Applied egg-rr96.5%
Taylor expanded in y around 0 89.0%
neg-mul-189.0%
Simplified89.0%
Final simplification90.3%
(FPCore (x y z t) :precision binary64 (if (or (<= y -0.0285) (not (<= y 2.9e-34))) (+ x (* y (/ z t))) (* x (- 1.0 (/ z t)))))
double code(double x, double y, double z, double t) {
double tmp;
if ((y <= -0.0285) || !(y <= 2.9e-34)) {
tmp = x + (y * (z / t));
} else {
tmp = x * (1.0 - (z / t));
}
return tmp;
}
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
real(8) :: tmp
if ((y <= (-0.0285d0)) .or. (.not. (y <= 2.9d-34))) then
tmp = x + (y * (z / t))
else
tmp = x * (1.0d0 - (z / t))
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if ((y <= -0.0285) || !(y <= 2.9e-34)) {
tmp = x + (y * (z / t));
} else {
tmp = x * (1.0 - (z / t));
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if (y <= -0.0285) or not (y <= 2.9e-34): tmp = x + (y * (z / t)) else: tmp = x * (1.0 - (z / t)) return tmp
function code(x, y, z, t) tmp = 0.0 if ((y <= -0.0285) || !(y <= 2.9e-34)) tmp = Float64(x + Float64(y * Float64(z / t))); else tmp = Float64(x * Float64(1.0 - Float64(z / t))); end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if ((y <= -0.0285) || ~((y <= 2.9e-34))) tmp = x + (y * (z / t)); else tmp = x * (1.0 - (z / t)); end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[Or[LessEqual[y, -0.0285], N[Not[LessEqual[y, 2.9e-34]], $MachinePrecision]], N[(x + N[(y * N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(1.0 - N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;y \leq -0.0285 \lor \neg \left(y \leq 2.9 \cdot 10^{-34}\right):\\
\;\;\;\;x + y \cdot \frac{z}{t}\\
\mathbf{else}:\\
\;\;\;\;x \cdot \left(1 - \frac{z}{t}\right)\\
\end{array}
\end{array}
if y < -0.028500000000000001 or 2.9000000000000002e-34 < y Initial program 98.3%
Taylor expanded in y around inf 86.5%
associate-*r/91.6%
Simplified91.6%
if -0.028500000000000001 < y < 2.9000000000000002e-34Initial program 96.1%
Taylor expanded in x around inf 88.5%
mul-1-neg88.5%
unsub-neg88.5%
Simplified88.5%
Final simplification90.1%
(FPCore (x y z t) :precision binary64 (if (<= (/ z t) 5e+259) x (/ x (/ t z))))
double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= 5e+259) {
tmp = x;
} else {
tmp = x / (t / z);
}
return tmp;
}
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
real(8) :: tmp
if ((z / t) <= 5d+259) then
tmp = x
else
tmp = x / (t / z)
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= 5e+259) {
tmp = x;
} else {
tmp = x / (t / z);
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if (z / t) <= 5e+259: tmp = x else: tmp = x / (t / z) return tmp
function code(x, y, z, t) tmp = 0.0 if (Float64(z / t) <= 5e+259) tmp = x; else tmp = Float64(x / Float64(t / z)); end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if ((z / t) <= 5e+259) tmp = x; else tmp = x / (t / z); end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[LessEqual[N[(z / t), $MachinePrecision], 5e+259], x, N[(x / N[(t / z), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;\frac{z}{t} \leq 5 \cdot 10^{+259}:\\
\;\;\;\;x\\
\mathbf{else}:\\
\;\;\;\;\frac{x}{\frac{t}{z}}\\
\end{array}
\end{array}
if (/.f64 z t) < 5.00000000000000033e259Initial program 98.6%
Taylor expanded in z around 0 43.3%
if 5.00000000000000033e259 < (/.f64 z t) Initial program 83.6%
Taylor expanded in x around inf 53.2%
mul-1-neg53.2%
unsub-neg53.2%
Simplified53.2%
Taylor expanded in z around inf 53.2%
neg-mul-153.2%
distribute-neg-frac253.2%
Simplified53.2%
clear-num53.2%
un-div-inv55.5%
add-sqr-sqrt24.3%
sqrt-unprod33.0%
sqr-neg33.0%
sqrt-unprod8.7%
add-sqr-sqrt22.1%
Applied egg-rr22.1%
(FPCore (x y z t) :precision binary64 (if (<= (/ z t) 5e+259) x (* x (/ z t))))
double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= 5e+259) {
tmp = x;
} else {
tmp = x * (z / t);
}
return tmp;
}
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
real(8) :: tmp
if ((z / t) <= 5d+259) then
tmp = x
else
tmp = x * (z / t)
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double tmp;
if ((z / t) <= 5e+259) {
tmp = x;
} else {
tmp = x * (z / t);
}
return tmp;
}
def code(x, y, z, t): tmp = 0 if (z / t) <= 5e+259: tmp = x else: tmp = x * (z / t) return tmp
function code(x, y, z, t) tmp = 0.0 if (Float64(z / t) <= 5e+259) tmp = x; else tmp = Float64(x * Float64(z / t)); end return tmp end
function tmp_2 = code(x, y, z, t) tmp = 0.0; if ((z / t) <= 5e+259) tmp = x; else tmp = x * (z / t); end tmp_2 = tmp; end
code[x_, y_, z_, t_] := If[LessEqual[N[(z / t), $MachinePrecision], 5e+259], x, N[(x * N[(z / t), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;\frac{z}{t} \leq 5 \cdot 10^{+259}:\\
\;\;\;\;x\\
\mathbf{else}:\\
\;\;\;\;x \cdot \frac{z}{t}\\
\end{array}
\end{array}
if (/.f64 z t) < 5.00000000000000033e259Initial program 98.6%
Taylor expanded in z around 0 43.3%
if 5.00000000000000033e259 < (/.f64 z t) Initial program 83.6%
Taylor expanded in x around inf 53.2%
mul-1-neg53.2%
unsub-neg53.2%
Simplified53.2%
Taylor expanded in z around inf 53.2%
neg-mul-153.2%
distribute-neg-frac253.2%
Simplified53.2%
add-sqr-sqrt22.1%
sqrt-unprod30.8%
sqr-neg30.8%
sqrt-unprod8.7%
add-sqr-sqrt22.1%
div-inv22.1%
Applied egg-rr22.1%
associate-*r/22.1%
associate-*l/22.1%
*-rgt-identity22.1%
Simplified22.1%
(FPCore (x y z t) :precision binary64 (+ x (* (- y x) (/ z t))))
double code(double x, double y, double z, double t) {
return x + ((y - x) * (z / t));
}
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 - x) * (z / t))
end function
public static double code(double x, double y, double z, double t) {
return x + ((y - x) * (z / t));
}
def code(x, y, z, t): return x + ((y - x) * (z / t))
function code(x, y, z, t) return Float64(x + Float64(Float64(y - x) * Float64(z / t))) end
function tmp = code(x, y, z, t) tmp = x + ((y - x) * (z / t)); end
code[x_, y_, z_, t_] := N[(x + N[(N[(y - x), $MachinePrecision] * N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
x + \left(y - x\right) \cdot \frac{z}{t}
\end{array}
Initial program 97.2%
(FPCore (x y z t) :precision binary64 (* x (- 1.0 (/ z t))))
double code(double x, double y, double z, double t) {
return x * (1.0 - (z / t));
}
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 * (1.0d0 - (z / t))
end function
public static double code(double x, double y, double z, double t) {
return x * (1.0 - (z / t));
}
def code(x, y, z, t): return x * (1.0 - (z / t))
function code(x, y, z, t) return Float64(x * Float64(1.0 - Float64(z / t))) end
function tmp = code(x, y, z, t) tmp = x * (1.0 - (z / t)); end
code[x_, y_, z_, t_] := N[(x * N[(1.0 - N[(z / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
x \cdot \left(1 - \frac{z}{t}\right)
\end{array}
Initial program 97.2%
Taylor expanded in x around inf 67.0%
mul-1-neg67.0%
unsub-neg67.0%
Simplified67.0%
(FPCore (x y z t) :precision binary64 x)
double code(double x, double y, double z, double t) {
return 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
end function
public static double code(double x, double y, double z, double t) {
return x;
}
def code(x, y, z, t): return x
function code(x, y, z, t) return x end
function tmp = code(x, y, z, t) tmp = x; end
code[x_, y_, z_, t_] := x
\begin{array}{l}
\\
x
\end{array}
Initial program 97.2%
Taylor expanded in z around 0 39.5%
(FPCore (x y z t)
:precision binary64
(let* ((t_1 (* (- y x) (/ z t))) (t_2 (+ x (/ (- y x) (/ t z)))))
(if (< t_1 -1013646692435.8867)
t_2
(if (< t_1 0.0) (+ x (/ (* (- y x) z) t)) t_2))))
double code(double x, double y, double z, double t) {
double t_1 = (y - x) * (z / t);
double t_2 = x + ((y - x) / (t / z));
double tmp;
if (t_1 < -1013646692435.8867) {
tmp = t_2;
} else if (t_1 < 0.0) {
tmp = x + (((y - x) * z) / t);
} else {
tmp = t_2;
}
return tmp;
}
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
real(8) :: t_1
real(8) :: t_2
real(8) :: tmp
t_1 = (y - x) * (z / t)
t_2 = x + ((y - x) / (t / z))
if (t_1 < (-1013646692435.8867d0)) then
tmp = t_2
else if (t_1 < 0.0d0) then
tmp = x + (((y - x) * z) / t)
else
tmp = t_2
end if
code = tmp
end function
public static double code(double x, double y, double z, double t) {
double t_1 = (y - x) * (z / t);
double t_2 = x + ((y - x) / (t / z));
double tmp;
if (t_1 < -1013646692435.8867) {
tmp = t_2;
} else if (t_1 < 0.0) {
tmp = x + (((y - x) * z) / t);
} else {
tmp = t_2;
}
return tmp;
}
def code(x, y, z, t): t_1 = (y - x) * (z / t) t_2 = x + ((y - x) / (t / z)) tmp = 0 if t_1 < -1013646692435.8867: tmp = t_2 elif t_1 < 0.0: tmp = x + (((y - x) * z) / t) else: tmp = t_2 return tmp
function code(x, y, z, t) t_1 = Float64(Float64(y - x) * Float64(z / t)) t_2 = Float64(x + Float64(Float64(y - x) / Float64(t / z))) tmp = 0.0 if (t_1 < -1013646692435.8867) tmp = t_2; elseif (t_1 < 0.0) tmp = Float64(x + Float64(Float64(Float64(y - x) * z) / t)); else tmp = t_2; end return tmp end
function tmp_2 = code(x, y, z, t) t_1 = (y - x) * (z / t); t_2 = x + ((y - x) / (t / z)); tmp = 0.0; if (t_1 < -1013646692435.8867) tmp = t_2; elseif (t_1 < 0.0) tmp = x + (((y - x) * z) / t); else tmp = t_2; end tmp_2 = tmp; end
code[x_, y_, z_, t_] := Block[{t$95$1 = N[(N[(y - x), $MachinePrecision] * N[(z / t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x + N[(N[(y - x), $MachinePrecision] / N[(t / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[Less[t$95$1, -1013646692435.8867], t$95$2, If[Less[t$95$1, 0.0], N[(x + N[(N[(N[(y - x), $MachinePrecision] * z), $MachinePrecision] / t), $MachinePrecision]), $MachinePrecision], t$95$2]]]]
\begin{array}{l}
\\
\begin{array}{l}
t_1 := \left(y - x\right) \cdot \frac{z}{t}\\
t_2 := x + \frac{y - x}{\frac{t}{z}}\\
\mathbf{if}\;t\_1 < -1013646692435.8867:\\
\;\;\;\;t\_2\\
\mathbf{elif}\;t\_1 < 0:\\
\;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\
\mathbf{else}:\\
\;\;\;\;t\_2\\
\end{array}
\end{array}
herbie shell --seed 2024135
(FPCore (x y z t)
:name "Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4"
:precision binary64
:alt
(! :herbie-platform default (if (< (* (- y x) (/ z t)) -10136466924358867/10000) (+ x (/ (- y x) (/ t z))) (if (< (* (- y x) (/ z t)) 0) (+ x (/ (* (- y x) z) t)) (+ x (/ (- y x) (/ t z))))))
(+ x (* (- y x) (/ z t))))