minmax_scale

std.stats.minmax_scale · Level L1

Rescale to [0, 1] by the minimum and the maximum.

(x − min x) / (max x − min x)

Signature

minmax_scale(x: f64[n]) → f64[n]

Requires: n ≥ 2

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]ReduceMaxhiReduceMinloSubtractspanSubtractdDivideyyf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size with n ≥ 2.
  • Equal to the reference (x - x.min()) / (x.max() - x.min()) in exact rational arithmetic, on all 40 test cases.
  • All 149 float64 results inside the running error bound; the closest uses 84% of it.
  • Interpreter and NumPy backend return bit-identical results.
Accuracy in detail
correctly rounded (the float64 nearest the exact value)
88%
bit-equal to the NumPy formula in float64
100%
largest error, in units in the last place
1.73

Identity

Calls
—
Called by
—
sha256:dc01341b88690fad5c46b276581bc6c1f252355b5d2d653f2265ced93bda1eed

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

Control handle

Symbol
Ω:std.stats.minmax_scale · Ω:minmax_scale
Pins
sha256:5c2c526b9e7a20a4b32ba3d490548c06374ff38d25a69ab02c83f731e6d14141this graph alone
Evidence
sha256:c68e3546838513f446ef3e9e6894b8a1bf59e5d1d980aaf5f5a0f6151bf8562fthe hash of its verification record
Needs
no capability: a pure function

Through NOVA’s control layer, the symbol launches this function only while the program still matches what it pins: a change to this graph, or to any graph it reaches, needs a migration first.