?

Average Error: 0.0 → 0.0
Time: 6.2s
Precision: binary64
Cost: 12992

?

\[\left(-1000 \leq x \land x \leq 1000\right) \land \left(-1000 \leq y \land y \leq 1000\right)\]
\[\sin x - \sin y \]
↓
\[\sin x - \sin y \]
(FPCore (x y) :precision binary64 (- (sin x) (sin y)))
↓
(FPCore (x y) :precision binary64 (- (sin x) (sin y)))
double code(double x, double y) {
	return sin(x) - sin(y);
}
↓
double code(double x, double y) {
	return sin(x) - sin(y);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = sin(x) - sin(y)
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = sin(x) - sin(y)
end function

public static double code(double x, double y) {
	return Math.sin(x) - Math.sin(y);
}
↓
public static double code(double x, double y) {
	return Math.sin(x) - Math.sin(y);
}

def code(x, y):
	return math.sin(x) - math.sin(y)
↓
def code(x, y):
	return math.sin(x) - math.sin(y)

function code(x, y)
	return Float64(sin(x) - sin(y))
end
↓
function code(x, y)
	return Float64(sin(x) - sin(y))
end

function tmp = code(x, y)
	tmp = sin(x) - sin(y);
end
↓
function tmp = code(x, y)
	tmp = sin(x) - sin(y);
end

code[x_, y_] := N[(N[Sin[x], $MachinePrecision] - N[Sin[y], $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(N[Sin[x], $MachinePrecision] - N[Sin[y], $MachinePrecision]), $MachinePrecision]

\sin x - \sin y
↓
\sin x - \sin y

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.0

    \[\sin x - \sin y \]

  2. Final simplification0.0

    \[\leadsto \sin x - \sin y \]

Alternatives

Alternative 1
Error17.0
Cost32657
\[\begin{array}{l} \mathbf{if}\;\sin x \leq -3.8 \cdot 10^{-115}:\\ \;\;\;\;\sin x\\ \mathbf{elif}\;\sin x \leq -5 \cdot 10^{-135} \lor \neg \left(\sin x \leq -2.55 \cdot 10^{-168}\right) \land \sin x \leq 8.5 \cdot 10^{-164}:\\ \;\;\;\;-\sin y\\ \mathbf{else}:\\ \;\;\;\;\sin x\\ \end{array} \]
Alternative 2
Error0.2
Cost19657
\[\begin{array}{l} \mathbf{if}\;\sin y \leq -2 \cdot 10^{-8} \lor \neg \left(\sin y \leq 10^{-31}\right):\\ \;\;\;\;-\sin y\\ \mathbf{else}:\\ \;\;\;\;\sin x - y\\ \end{array} \]
Alternative 3
Error31.0
Cost6464
\[\sin x \]

Error

Reproduce?

herbie shell --seed 1 
(FPCore (x y)
  :name "sin(x)-sin(y)"
  :precision binary64
  :pre (and (and (<= -1000.0 x) (<= x 1000.0)) (and (<= -1000.0 y) (<= y 1000.0)))
  (- (sin x) (sin y)))