valuation_running

std.elementwise.valuation_running · Level L4

Whether p still divides some m, as 1 or 0. The condition padic_valuation loops on.

[some p | m]

Signature

valuation_running(m: i64[s], k: i64[s], p: i64[s]) → 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.

input
operation
constant
call
output

Verification

Signature proven by NOVA’s shape solver, for every size.
Equal to the reference float(any(m % p == 0)) in exact rational arithmetic, on all 40 test cases.
All 40 float64 results are exact: the error is zero.
Interpreter and NumPy backend return bit-identical results.
At float32 too: the 40 test cases rounded to float32, and 40 of them exact, with zero error.

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

Identity

Calls

—

Called by

padic_valuation

sha256:bb526568968e9a9895aac85ff82b6348c6a6bd61ff106653ea721c77d316478a

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.valuation_running · Ω:valuation_running
Pins: sha256:a1634190280938bbf6241c53820f2c88bc74451e2aedae2729f88ea9d745a1ecthis graph alone
Evidence: sha256:9c0bc02bb265f60bf8aa76f953bf0583a977521d1aafe699fa9ffd7e36e7c728the 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.