mae

std.loss.mae · Level L0

Mean absolute error. Calls abs.

(1/n)·Σᵢ |yᵢ − tᵢ|

Signature

mae(y: f64[n], t: f64[n]) → f64[]

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.

yf64[n]tf64[n]SubtractdabsaMeanllf64[]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Equal to the reference np.mean(np.abs(y - t)) in exact rational arithmetic, on all 40 test cases.
  • All 40 float64 results inside the running error bound; the closest uses 30% of it.
  • Interpreter and NumPy backend return bit-identical results.
Accuracy in detail
correctly rounded (the float64 nearest the exact value)
83%
bit-equal to the NumPy formula in float64
100%
largest error, in units in the last place
1.40

Identity

Calls
abs
Called by
—
sha256:9eb96b5edebc779452f38d5a685b0d3103b2d38e6f2734307e7f5fbf7b0cd4ee

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

Control handle

Symbol
Ω:std.loss.mae · Ω:mae
Pins
sha256:adcce6d45d45960f462f51ebd1e40e6631bf031286449c1a7ec38040635ba041this graph and the 1 it reaches through calls
Evidence
sha256:91bcf590308d932f9a8c8a67616be95fcbfa3768e93addda8590a7a83481423athe 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.