∫HAMBOLICSYMBOLIC CALCULUS
Embedded example
SHAMBOLICEX

Symbolic calculus

Original and canonical forms, derivatives, graphs and recorded calculation steps.

CALCULATOR

Expression input

Variable x · Up to third order

Use * to multiply, ^ for powers, and parentheses to group terms.

Ctrl / ⌘ + Enter to calculate

Random expression settings

Uses the v25 fuzzer’s random sequence. Seed, depth and case reproduce the same expression and derivative order. Generate an expression, then select Calculate.

Embedded example loaded.

01

The expression

Reading the embedded publication…
ORIGINAL FORMThe expression as entered
CANONICAL FORMThe engine’s published ordering
View the exact input string
02

Function and derivative graphs

Move over the curve to inspect a stored vertex
Decoding samples…
Plot size100%

Drag to pan · Wheel or pinch to zoom · Double-click to reset
· Curves join stored vertices. Exports use the finest supplied level.

03

Calculation steps

Read the complete trace
04

Supporting records

Source records

The publication also carries exact polynomial arithmetic. These supporting calculations have their own record numbers; they are separate from the differentiation of the original function.

Polynomial recordsOperations, exact values, coefficient calculations and every invocation
All exact polynomial values and coefficients
Complete invocation ledger
Source & publication notesData coverage, source qualifications, decoded XML and file integrity
EXPRESSION VIEW

Full expression

Scroll horizontally for a long expression. The entire formula is retained.

Credits & licences