?

Average Error: 0.0 → 0.0
Time: 9.2s
Precision: binary64
Cost: 6784

?

\[\left(\left(20 \leq a \land a \leq 16000\right) \land \left(20 \leq b \land b \leq 16000\right)\right) \land \left(0 \leq t \land t \leq 1\right)\]
\[a \cdot {\left(\frac{b}{a}\right)}^{t} \]
↓
\[a \cdot {\left(\frac{b}{a}\right)}^{t} \]
(FPCore (a b t) :precision binary64 (* a (pow (/ b a) t)))
↓
(FPCore (a b t) :precision binary64 (* a (pow (/ b a) t)))
double code(double a, double b, double t) {
	return a * pow((b / a), t);
}
↓
double code(double a, double b, double t) {
	return a * pow((b / a), t);
}

real(8) function code(a, b, t)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: t
    code = a * ((b / a) ** t)
end function
↓
real(8) function code(a, b, t)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: t
    code = a * ((b / a) ** t)
end function

public static double code(double a, double b, double t) {
	return a * Math.pow((b / a), t);
}
↓
public static double code(double a, double b, double t) {
	return a * Math.pow((b / a), t);
}

def code(a, b, t):
	return a * math.pow((b / a), t)
↓
def code(a, b, t):
	return a * math.pow((b / a), t)

function code(a, b, t)
	return Float64(a * (Float64(b / a) ^ t))
end
↓
function code(a, b, t)
	return Float64(a * (Float64(b / a) ^ t))
end

function tmp = code(a, b, t)
	tmp = a * ((b / a) ^ t);
end
↓
function tmp = code(a, b, t)
	tmp = a * ((b / a) ^ t);
end

code[a_, b_, t_] := N[(a * N[Power[N[(b / a), $MachinePrecision], t], $MachinePrecision]), $MachinePrecision]
↓
code[a_, b_, t_] := N[(a * N[Power[N[(b / a), $MachinePrecision], t], $MachinePrecision]), $MachinePrecision]

a \cdot {\left(\frac{b}{a}\right)}^{t}
↓
a \cdot {\left(\frac{b}{a}\right)}^{t}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.0

    \[a \cdot {\left(\frac{b}{a}\right)}^{t} \]

  2. Final simplification0.0

    \[\leadsto a \cdot {\left(\frac{b}{a}\right)}^{t} \]

Alternatives

Alternative 1
Error1.4
Cost64
\[a \]

Error

Reproduce?

herbie shell --seed 1 
(FPCore (a b t)
  :name "a * pow(b / a, t)"
  :precision binary64
  :pre (and (and (and (<= 20.0 a) (<= a 16000.0)) (and (<= 20.0 b) (<= b 16000.0))) (and (<= 0.0 t) (<= t 1.0)))
  (* a (pow (/ b a) t)))