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| = The Symbolic Benchmark Challenge Suite = | = The Symbolic Benchmark Suite = |
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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. | The conditions for something to be listed here: (a) it must be resemble an ''actual'' computation somebody actually wanted to do in Sage, and (b) the question must be precisely formulated with Sage code that uses the Sage symbolics in a straightforward way (i.e., don't cleverly use number fields). |
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| 1. 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. | == PROBLEM 1 == |
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| SETUP: Define a function $f(z) = \sqrt{1/3}\cdot z^2 + i/3$. COMPUTATION: Compute the real part of $f(f(f(...(f(i/2))...)$ iterated $10$ times. {{{ def f(z): return sqrt(1/3)*z^2 + i/3 timeit('real(f(f(f(f(f(f(f(f(f(f(i/2)))))))))))') }}} |
See also [:SymbolicBenchmarks: this other page].
The Symbolic Benchmark Suite
The conditions for something to be listed here: (a) it must be resemble an actual computation somebody actually wanted to do in Sage, and (b) the question must be precisely formulated with Sage code that uses the Sage symbolics in a straightforward way (i.e., don't cleverly use number fields).
== PROBLEM 1 ==
SETUP: Define a function f(z) = \sqrt{1/3}\cdot z^2 + i/3. COMPUTATION: Compute the real part of f(f(f(...(f(i/2))...) iterated 10 times.
def f(z): return sqrt(1/3)*z^2 + i/3
timeit('real(f(f(f(f(f(f(f(f(f(f(i/2)))))))))))')