infinite.
| ||
using https://en.wikipedia.org/wiki/Limit_of_a_function
| ||
TODO should these be valid, or should they always produce 'invalid'
| ||
and only Limit() produce valid operations on infinity?
| ||
| ||
simplifyAssertEq(inf, inf)
|
${\infty} = {\infty}$
GOOD |
time: 0.203000ms stack: size: 7
|
simplifyAssertNe(inf, -inf)
|
${\infty} \ne {-{\infty}}$
GOOD |
time: 1.351000ms stack: size: 14
|
simplifyAssertNe(inf, invalid)
|
${\infty} \ne {¿}$
GOOD |
time: 0.182000ms stack: size: 7
|
| ||
q + inf = inf for q != -inf
| ||
simplifyAssertEq(inf + inf, inf)
|
${{\infty} + {\infty}} = {\infty}$
GOOD |
time: 0.373000ms stack: size: 8
|
simplifyAssertEq(inf + 0, inf)
|
${\infty} = {\infty}$
GOOD |
time: 0.037000ms stack: size: 0 |
simplifyAssertEq(inf + 1, inf)
|
${{\infty} + {1}} = {\infty}$
GOOD |
time: 0.460000ms stack: size: 8
|
simplifyAssertEq(inf - 1, inf)
|
${{\infty}{-{1}}} = {\infty}$
GOOD |
time: 0.268000ms stack: size: 9
|
simplifyAssertEq(inf + x + y, inf)
|
${{\infty} + {x} + {y}} = {\infty}$
GOOD |
time: 0.343000ms stack: size: 8
|
| ||
q * inf = inf for q > 0 (incl q == inf)
| ||
q * inf = -inf for q < 0 (incl q == -inf)
| ||
simplifyAssertEq((inf * inf), inf)
|
${{{\infty}} \cdot {{\infty}}} = {\infty}$
GOOD |
time: 0.171000ms stack: size: 8
|
simplifyAssertEq((inf * -inf), -inf)
|
${{{\infty}} \cdot {-{\infty}}} = {-{\infty}}$
GOOD |
time: 2.207000ms stack: size: 14
|
simplifyAssertEq((inf * -1), -inf)
|
${{{\infty}} \cdot {{-1}}} = {-{\infty}}$
GOOD |
time: 1.167000ms stack: size: 14
|
simplifyAssertEq((inf * -1 * -2), inf)
|
${{{\infty}} \cdot {{-1}} \cdot {{-2}}} = {\infty}$
GOOD |
time: 0.403000ms stack: size: 8
|
simplifyAssertEq((inf * 1 * 2), inf)
|
${{{\infty}} \cdot {{2}}} = {\infty}$
GOOD |
time: 0.230000ms stack: size: 8
|
TODO this should be unknown unless x is defined as a positive or negative realsimplifyAssertEq(inf * x, inf)
|
${{{\infty}} \cdot {{x}}} = {\infty}$
GOOD |
time: 0.131000ms stack: size: 8
|
simplifyAssertEq(inf / 2, inf)
|
${{\frac{1}{2}} {\infty}} = {\infty}$
GOOD |
time: 0.193000ms stack: size: 8
|
| ||
0 * inf = invalid
| ||
simplifyAssertEq(inf * 0, invalid)
|
${{{\infty}} \cdot {{0}}} = {¿}$
GOOD |
time: 0.579000ms stack: size: 7
|
simplifyAssertEq(inf / 0, invalid)
|
${¿} = {¿}$
GOOD |
time: 0.314000ms stack: size: 7
|
| ||
q / inf = 0 for q != inf and q != -inf
| ||
simplifyAssertEq(-2 / inf, 0)
|
${\frac{-2}{\infty}} = {0}$
GOOD |
time: 0.712000ms stack: size: 7
|
simplifyAssertEq(-1 / inf, 0)
|
${\frac{-1}{\infty}} = {0}$
GOOD |
time: 0.289000ms stack: size: 7
|
simplifyAssertEq(-.5 / inf, 0)
|
${\frac{-0.5}{\infty}} = {0}$
GOOD |
time: 0.277000ms stack: size: 7
|
simplifyAssertEq(0 / inf, 0)
|
${\frac{0}{\infty}} = {0}$
GOOD |
time: 0.293000ms stack: size: 7
|
simplifyAssertEq(.5 / inf, 0)
|
${\frac{0.5}{\infty}} = {0}$
GOOD |
time: 0.641000ms stack: size: 7
|
simplifyAssertEq(1 / inf, 0)
|
${\frac{1}{\infty}} = {0}$
GOOD |
time: 0.403000ms stack: size: 7
|
simplifyAssertEq(2 / inf, 0)
|
${\frac{2}{\infty}} = {0}$
GOOD |
time: 0.252000ms stack: size: 7
|
| ||
inf^q = 0 for q < 0
| ||
inf^q = inf for q > 0
| ||
simplifyAssertEq(inf ^ -inf, invalid)
|
${{\infty}^{-{\infty}}} = {¿}$
GOOD |
time: 0.378000ms stack: size: 7
|
simplifyAssertEq(inf ^ -2, 0)
|
${{\infty}^{-2}} = {0}$
GOOD |
time: 0.208000ms stack: size: 7
|
simplifyAssertEq(inf ^ -1, 0)
|
${{\infty}^{-1}} = {0}$
GOOD |
time: 0.115000ms stack: size: 7
|
simplifyAssertEq(inf ^ -.5, 0)
|
${{\infty}^{-0.5}} = {0}$
GOOD |
time: 0.190000ms stack: size: 7
|
simplifyAssertEq(inf ^ 0, invalid)
|
${{\infty}^{0}} = {¿}$
GOOD |
time: 0.106000ms stack: size: 7
|
simplifyAssertEq(inf ^ .5, inf)
|
${{\infty}^{0.5}} = {\infty}$
GOOD |
time: 0.066000ms stack: size: 8
|
simplifyAssertEq(inf ^ 1, inf)
|
${\infty} = {\infty}$
GOOD |
time: 0.038000ms stack: size: 0 |
simplifyAssertEq(inf ^ 2, inf)
|
${{\infty}^{2}} = {\infty}$
GOOD |
time: 0.157000ms stack: size: 8
|
simplifyAssertEq(inf ^ inf, inf)
|
${{\infty}^{\infty}} = {\infty}$
GOOD |
time: 0.253000ms stack: size: 8
|
| ||
q^inf = 0 for 0 < q < 1
| ||
q^inf = inf for 1 < q
| ||
simplifyAssertEq((-2) ^ inf, invalid)
|
${{-2}^{\infty}} = {¿}$
GOOD |
time: 0.285000ms stack: size: 7
|
simplifyAssertEq((-.5) ^ inf, invalid)
|
${{-0.5}^{\infty}} = {¿}$
GOOD |
time: 0.197000ms stack: size: 7
|
simplifyAssertEq(0 ^ inf, invalid)
|
${{0}^{\infty}} = {¿}$
GOOD |
time: 0.207000ms stack: size: 7
|
simplifyAssertEq(.5 ^ inf, 0)
|
${{0.5}^{\infty}} = {0}$
GOOD |
time: 0.220000ms stack: size: 7
|
simplifyAssertEq(2 ^ inf, inf)
|
${{2}^{\infty}} = {\infty}$
GOOD |
time: 0.159000ms stack: size: 8
|
| ||
q^-inf = inf for 0 < q < 1
| ||
q^-inf = 0 for 1 < q
| ||
simplifyAssertEq((-2) ^ -inf, invalid)
|
${{-2}^{-{\infty}}} = {¿}$
GOOD |
time: 0.661000ms stack: size: 7
|
simplifyAssertEq((-.5) ^ -inf, invalid)
|
${{-0.5}^{-{\infty}}} = {¿}$
GOOD |
time: 0.666000ms stack: size: 7
|
simplifyAssertEq(0 ^ -inf, invalid)
|
${{0}^{-{\infty}}} = {¿}$
GOOD |
time: 0.355000ms stack: size: 7
|
simplifyAssertEq(.5 ^ -inf, inf)
|
${{0.5}^{-{\infty}}} = {\infty}$
GOOD |
time: 0.381000ms stack: size: 10
|
simplifyAssertEq(2 ^ -inf, 0)
|
${{2}^{-{\infty}}} = {0}$
GOOD |
time: 0.217000ms stack: size: 7
|
| ||
indeterminant:
| ||
simplifyAssertEq(Constant(0) / 0, invalid)
|
${¿} = {¿}$
GOOD |
time: 0.225000ms stack: size: 7
|
verify short-circuit doesn't interferesimplifyAssertEq(Constant(0) / (Constant(3) * Constant(0)), invalid)
|
${\frac{0}{{{3}} \cdot {{0}}}} = {¿}$
GOOD |
time: 0.335000ms stack: size: 7
|
simplifyAssertEq(-inf / inf, invalid)
|
${{\frac{1}{\infty}}{\left({-{\infty}}\right)}} = {¿}$
GOOD |
time: 0.262000ms stack: size: 7
|
simplifyAssertEq(inf / inf, invalid)
|
${{\frac{1}{\infty}} {\infty}} = {¿}$
GOOD |
time: 0.167000ms stack: size: 7
|
simplifyAssertEq(inf / -inf, invalid)
|
${\frac{\infty}{-{\infty}}} = {¿}$
GOOD |
time: 0.182000ms stack: size: 7
|
simplifyAssertEq(-inf / -inf, invalid)
|
${\frac{-{\infty}}{-{\infty}}} = {¿}$
GOOD |
time: 0.797000ms stack: size: 7
|
simplifyAssertEq(0 * inf, invalid)
|
${{{0}} {{\infty}}} = {¿}$
GOOD |
time: 0.312000ms stack: size: 7
|
simplifyAssertEq(0 * -inf, invalid)
|
${{{0}} \cdot {-{\infty}}} = {¿}$
GOOD |
time: 0.243000ms stack: size: 7
|
simplifyAssertEq(inf + -inf, invalid)
|
${{\infty}{-{\infty}}} = {¿}$
GOOD |
time: 0.171000ms stack: size: 7
|
simplifyAssertEq(Constant(0) ^ 0, invalid)
|
${¿} = {¿}$
GOOD |
time: 0.090000ms stack: size: 7
|
simplifyAssertEq(inf ^ 0, invalid)
|
${{\infty}^{0}} = {¿}$
GOOD |
time: 0.179000ms stack: size: 7
|
simplifyAssertEq((-1) ^ inf, invalid)
|
${{-1}^{\infty}} = {¿}$
GOOD |
time: 0.108000ms stack: size: 7
|
simplifyAssertEq((-1) ^ -inf, invalid)
|
${{-1}^{-{\infty}}} = {¿}$
GOOD |
time: 0.210000ms stack: size: 7
|
simplifyAssertEq(1 ^ inf, invalid)
|
${{1}^{\infty}} = {¿}$
GOOD |
time: 0.124000ms stack: size: 7
|
simplifyAssertEq(1 ^ -inf, invalid)
|
${{1}^{-{\infty}}} = {¿}$
GOOD |
time: 0.205000ms stack: size: 7
|