Average Error: 11.2 → 0.0
Time: 38.6s
Precision: 64
Internal Precision: 832
\[\left(\left(x + {x}^{2}\right) - {\left(\sqrt{x}\right)}^{2}\right) + {\left(\sqrt{y}\right)}^{3}\]
\[{y}^{\left(\frac{1}{2} + 1\right)} + x \cdot x\]

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 11.2

    \[\left(\left(x + {x}^{2}\right) - {\left(\sqrt{x}\right)}^{2}\right) + {\left(\sqrt{y}\right)}^{3}\]
  2. Initial simplification0.1

    \[\leadsto \sqrt{y} \cdot y + x \cdot x\]
  3. Using strategy rm
  4. Applied pow1/20.1

    \[\leadsto \color{blue}{{y}^{\frac{1}{2}}} \cdot y + x \cdot x\]
  5. Applied pow-plus0.0

    \[\leadsto \color{blue}{{y}^{\left(\frac{1}{2} + 1\right)}} + x \cdot x\]
  6. Final simplification0.0

    \[\leadsto {y}^{\left(\frac{1}{2} + 1\right)} + x \cdot x\]

Runtime

Time bar (total: 38.6s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x y)
  :name "x + x^2 -sqrt(x)^2 +sqrt(y)^3"
  (+ (- (+ x (pow x 2)) (pow (sqrt x) 2)) (pow (sqrt y) 3)))