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| 1. SETUP: Let $f = (x+y+z+1)^20$. COMPUTATION: Compute all coefficients of all monomials of $f\cdot (f+1)$, i.e., expand that expression. | 1. SETUP: Let $f = (x+y+z+1)^{15}$. COMPUTATION: Compute all coefficients of all monomials of $f\cdot (f+1)$, i.e., expand that expression. |
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See also [:SymbolicBenchmarks: this other page].
The Symbolic Benchmark Challenge Suite
SETUP: Let f = (x+y+z+1)^{15}. COMPUTATION: Compute all coefficients of all monomials of f\cdot (f+1), i.e., expand that expression.
SETUP: Define a function f(z) = \sqrt(1/3) z^2 + i/3. COMPUTATION: Compute the first 5 digits of the numerator of the real part of f(f(f(...(f(i/2))...) iterated 10 times.