Average Error: 9.7 → 9.7
Time: 4.2s
Precision: binary64
\[\sqrt{x} + {pi}^{x} \cdot \log \left(pi \cdot x\right)\]
↓
\[\sqrt{x} + {pi}^{x} \cdot \log \left(pi \cdot x\right)\]
\sqrt{x} + {pi}^{x} \cdot \log \left(pi \cdot x\right)
↓
\sqrt{x} + {pi}^{x} \cdot \log \left(pi \cdot x\right)
double code(double x, double pi) {
	return ((double) (((double) sqrt(x)) + ((double) (((double) pow(pi, x)) * ((double) log(((double) (pi * x))))))));
}
↓
double code(double x, double pi) {
	return ((double) (((double) sqrt(x)) + ((double) (((double) pow(pi, x)) * ((double) log(((double) (pi * x))))))));
}

Error

Bits error versus x

Bits error versus pi

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 9.7

    \[\sqrt{x} + {pi}^{x} \cdot \log \left(pi \cdot x\right)\]

  2. Final simplification9.7

    \[\leadsto \sqrt{x} + {pi}^{x} \cdot \log \left(pi \cdot x\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x pi)
  :name "(+ (sqrt x) (* (pow pi x) (log (* pi x))))"
  :precision binary64
  (+ (sqrt x) (* (pow pi x) (log (* pi x)))))