square

std.elementwise.square · Level L0

Elementwise square.

x²

Signature

square(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]Multiplyyyf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Equal to the reference x ** 2 in exact rational arithmetic, on all 40 test cases.
  • All 145 float64 results inside the running error bound; the closest uses 93% of it.
  • Interpreter and NumPy backend return bit-identical results.
Accuracy in detail
correctly rounded (the float64 nearest the exact value)
100%
bit-equal to the NumPy formula in float64
100%
largest error, in units in the last place
0.49

Identity

Calls
—
Called by
—
sha256:92de869df8eabb957ea701a7cc92a83e935a58996b9902e0e7d06fd0182afad1

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

Control handle

Symbol
Ω:std.elementwise.square · Ω:square
Pins
sha256:f8affbd7356bf5060f191469bafc738be08c34ac67b2f859d83cf72eb527a72bthis graph alone
Evidence
sha256:649ab87f73656b7a57e4da9b7842755845e90e5fd3e23c8f164bc23717628bd9the 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.