Average Error: 39.4 → 39.4
Time: 1.9s
Precision: binary64
\[\sqrt{\frac{w \cdot \left(\left(v - m\right) \cdot \left(v - m\right)\right)}{t}}\]
↓
\[\sqrt{\frac{w \cdot \left(\left(v - m\right) \cdot \left(v - m\right)\right)}{t}}\]
\sqrt{\frac{w \cdot \left(\left(v - m\right) \cdot \left(v - m\right)\right)}{t}}
↓
\sqrt{\frac{w \cdot \left(\left(v - m\right) \cdot \left(v - m\right)\right)}{t}}
double code(double w, double v, double m, double t) {
	return ((double) sqrt(((double) (((double) (w * ((double) (((double) (v - m)) * ((double) (v - m)))))) / t))));
}
↓
double code(double w, double v, double m, double t) {
	return ((double) sqrt(((double) (((double) (w * ((double) (((double) (v - m)) * ((double) (v - m)))))) / t))));
}

Error

Bits error versus w

Bits error versus v

Bits error versus m

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 39.4

    \[\sqrt{\frac{w \cdot \left(\left(v - m\right) \cdot \left(v - m\right)\right)}{t}}\]

  2. Final simplification39.4

    \[\leadsto \sqrt{\frac{w \cdot \left(\left(v - m\right) \cdot \left(v - m\right)\right)}{t}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (w v m t)
  :name "(sqrt (/ (* w (* (- v m) (- v m))) t))"
  :precision binary64
  (sqrt (/ (* w (* (- v m) (- v m))) t)))