?

Average Error: 0 → 0
Time: 3.4s
Precision: binary64
Cost: 13504

?

\[\frac{-420}{{\left({21}^{2} + 1\right)}^{\left(\frac{3}{2}\right)}} \cdot 21 - \left(11 \cdot 450\right) \cdot {522}^{\left(\frac{-1}{2}\right)} \]
↓
\[21 \cdot \frac{-420}{{442}^{1.5}} + {522}^{-0.5} \cdot -4950 \]
(FPCore ()
 :precision binary64
 (-
  (* (/ (- 420.0) (pow (+ (pow 21.0 2.0) 1.0) (/ 3.0 2.0))) 21.0)
  (* (* 11.0 450.0) (pow 522.0 (/ (- 1.0) 2.0)))))
↓
(FPCore ()
 :precision binary64
 (+ (* 21.0 (/ -420.0 (pow 442.0 1.5))) (* (pow 522.0 -0.5) -4950.0)))
double code() {
	return ((-420.0 / pow((pow(21.0, 2.0) + 1.0), (3.0 / 2.0))) * 21.0) - ((11.0 * 450.0) * pow(522.0, (-1.0 / 2.0)));
}
↓
double code() {
	return (21.0 * (-420.0 / pow(442.0, 1.5))) + (pow(522.0, -0.5) * -4950.0);
}

real(8) function code()
    code = ((-420.0d0 / (((21.0d0 ** 2.0d0) + 1.0d0) ** (3.0d0 / 2.0d0))) * 21.0d0) - ((11.0d0 * 450.0d0) * (522.0d0 ** (-1.0d0 / 2.0d0)))
end function
↓
real(8) function code()
    code = (21.0d0 * ((-420.0d0) / (442.0d0 ** 1.5d0))) + ((522.0d0 ** (-0.5d0)) * (-4950.0d0))
end function

public static double code() {
	return ((-420.0 / Math.pow((Math.pow(21.0, 2.0) + 1.0), (3.0 / 2.0))) * 21.0) - ((11.0 * 450.0) * Math.pow(522.0, (-1.0 / 2.0)));
}
↓
public static double code() {
	return (21.0 * (-420.0 / Math.pow(442.0, 1.5))) + (Math.pow(522.0, -0.5) * -4950.0);
}

def code():
	return ((-420.0 / math.pow((math.pow(21.0, 2.0) + 1.0), (3.0 / 2.0))) * 21.0) - ((11.0 * 450.0) * math.pow(522.0, (-1.0 / 2.0)))
↓
def code():
	return (21.0 * (-420.0 / math.pow(442.0, 1.5))) + (math.pow(522.0, -0.5) * -4950.0)

function code()
	return Float64(Float64(Float64(Float64(-420.0) / (Float64((21.0 ^ 2.0) + 1.0) ^ Float64(3.0 / 2.0))) * 21.0) - Float64(Float64(11.0 * 450.0) * (522.0 ^ Float64(Float64(-1.0) / 2.0))))
end
↓
function code()
	return Float64(Float64(21.0 * Float64(-420.0 / (442.0 ^ 1.5))) + Float64((522.0 ^ -0.5) * -4950.0))
end

function tmp = code()
	tmp = ((-420.0 / (((21.0 ^ 2.0) + 1.0) ^ (3.0 / 2.0))) * 21.0) - ((11.0 * 450.0) * (522.0 ^ (-1.0 / 2.0)));
end
↓
function tmp = code()
	tmp = (21.0 * (-420.0 / (442.0 ^ 1.5))) + ((522.0 ^ -0.5) * -4950.0);
end

code[] := N[(N[(N[((-420.0) / N[Power[N[(N[Power[21.0, 2.0], $MachinePrecision] + 1.0), $MachinePrecision], N[(3.0 / 2.0), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] * 21.0), $MachinePrecision] - N[(N[(11.0 * 450.0), $MachinePrecision] * N[Power[522.0, N[((-1.0) / 2.0), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[] := N[(N[(21.0 * N[(-420.0 / N[Power[442.0, 1.5], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[Power[522.0, -0.5], $MachinePrecision] * -4950.0), $MachinePrecision]), $MachinePrecision]

\frac{-420}{{\left({21}^{2} + 1\right)}^{\left(\frac{3}{2}\right)}} \cdot 21 - \left(11 \cdot 450\right) \cdot {522}^{\left(\frac{-1}{2}\right)}
↓
21 \cdot \frac{-420}{{442}^{1.5}} + {522}^{-0.5} \cdot -4950

Error?

Try it out?

Your Program's Arguments

    Results

    Enter valid numbers for all inputs

    Derivation?

    1. Initial program 0

      \[\frac{-420}{{\left({21}^{2} + 1\right)}^{\left(\frac{3}{2}\right)}} \cdot 21 - \left(11 \cdot 450\right) \cdot {522}^{\left(\frac{-1}{2}\right)} \]

    2. Final simplification0

      \[\leadsto 21 \cdot \frac{-420}{{442}^{1.5}} + {522}^{-0.5} \cdot -4950 \]

    Reproduce?

    herbie shell --seed 1 
(FPCore ()
  :name "(-420/(21^2+1)^(3/2))*21 - 11*450*522^(-1/2)"
  :precision binary64
  (- (* (/ (- 420.0) (pow (+ (pow 21.0 2.0) 1.0) (/ 3.0 2.0))) 21.0) (* (* 11.0 450.0) (pow 522.0 (/ (- 1.0) 2.0)))))