cumsum

std.seq.cumsum · Level L2

Running total: element i is the sum of x₀ … xᵢ.

sᵢ = Σⱼ≤ᵢ xⱼ

Signature

cumsum(x: f64[n]) → f64[n]

Structure

The function as NOVA stores it: one box per input, operation and output, and arrows that carry values. A double border marks another library function this one runs — called once, or by Scan once per element; select it to open that function.

xf64[n]CumSumssf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Equal to the reference np.cumsum(x) in exact rational arithmetic, on all 40 test cases.
  • All 175 float64 results inside the running error bound; the closest uses 66% of it.
  • Interpreter and NumPy backend return bit-identical results.
Accuracy in detail
correctly rounded (the float64 nearest the exact value)
93%
bit-equal to the NumPy formula in float64
100%
largest error, in units in the last place
1.14

Identity

Calls
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Called by
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sha256:ac816c82cc6961031623bb5d52da21a75fd4a86a4711b9fa6e143e8f2cb5bad3

The semantic hash of the graph. It changes when the program changes, and never when only its documentation does.