tests/unit/notfinite

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: 0.274000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertNe(inf, -inf)	${\infty} \ne {-{\infty}}$ GOOD	time: 1.417000ms stack: size: 14 Init :Prune:handleInfAndNan unm:Prune:doubleNegative Prune Expand :Prune:handleInfAndNan Prune Factor :Prune:handleInfAndNan Prune Constant:Tidy:apply :Tidy:apply *:Tidy:apply Tidy
simplifyAssertNe(inf, invalid)	${\infty} \ne {¿}$ GOOD	time: 0.296000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy

q + inf = inf for q != -inf
simplifyAssertEq(inf + inf, inf)	${{\infty} + {\infty}} = {\infty}$ GOOD	time: 0.929000ms stack: size: 8 Init +:Prune:handleInfAndInvalid Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf + 0, inf)	${\infty} = {\infty}$ GOOD	time: 0.077000ms stack: size: 0
simplifyAssertEq(inf + 1, inf)	${{\infty} + {1}} = {\infty}$ GOOD	time: 0.248000ms stack: size: 8 Init +:Prune:handleInfAndInvalid Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf - 1, inf)	${{\infty}{-{1}}} = {\infty}$ GOOD	time: 0.544000ms stack: size: 9 Init unm:Prune:doubleNegative +:Prune:handleInfAndInvalid Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf + x + y, inf)	${{\infty} + {x} + {y}} = {\infty}$ GOOD	time: 0.471000ms stack: size: 8 Init +:Prune:handleInfAndInvalid Prune Expand Prune Factor Prune Tidy

*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: 0.525000ms stack: size: 8 Init *:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((inf * -inf), -inf)	${{{\infty}} \cdot {-{\infty}}} = {-{\infty}}$ GOOD	time: 3.858000ms stack: size: 14 Init :Prune:handleInfAndNan unm:Prune:doubleNegative Prune Expand :Prune:handleInfAndNan Prune Factor :Prune:handleInfAndNan Prune Constant:Tidy:apply :Tidy:apply *:Tidy:apply Tidy
simplifyAssertEq((inf * -1), -inf)	${{{\infty}} \cdot {{-1}}} = {-{\infty}}$ GOOD	time: 1.294000ms stack: size: 14 Init :Prune:handleInfAndNan unm:Prune:doubleNegative Prune Expand :Prune:handleInfAndNan Prune Factor :Prune:handleInfAndNan Prune Constant:Tidy:apply :Tidy:apply *:Tidy:apply Tidy
simplifyAssertEq((inf * -1 * -2), inf)	${{{\infty}} \cdot {{-1}} \cdot {{-2}}} = {\infty}$ GOOD	time: 0.320000ms stack: size: 8 Init *:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((inf * 1 * 2), inf)	${{{\infty}} \cdot {{2}}} = {\infty}$ GOOD	time: 0.331000ms stack: size: 8 Init *:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
TODO this should be unknown unless x is defined as a positive or negative real simplifyAssertEq(inf * x, inf)	${{{\infty}} \cdot {{x}}} = {\infty}$ GOOD	time: 0.305000ms stack: size: 8 Init *:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf / 2, inf)	${{\frac{1}{2}} {\infty}} = {\infty}$ GOOD	time: 0.317000ms stack: size: 8 Init /:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy

*0 inf = invalid**
simplifyAssertEq(inf * 0, invalid)	${{{\infty}} \cdot {{0}}} = {¿}$ GOOD	time: 0.465000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf / 0, invalid)	${¿} = {¿}$ GOOD	time: 0.223000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy

q / inf = 0 for q != inf and q != -inf
simplifyAssertEq(-2 / inf, 0)	${\frac{-2}{\infty}} = {0}$ GOOD	time: 0.318000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(-1 / inf, 0)	${\frac{-1}{\infty}} = {0}$ GOOD	time: 0.319000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(-.5 / inf, 0)	${\frac{-0.5}{\infty}} = {0}$ GOOD	time: 0.298000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(0 / inf, 0)	${\frac{0}{\infty}} = {0}$ GOOD	time: 0.517000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(.5 / inf, 0)	${\frac{0.5}{\infty}} = {0}$ GOOD	time: 0.417000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(1 / inf, 0)	${\frac{1}{\infty}} = {0}$ GOOD	time: 0.402000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(2 / inf, 0)	${\frac{2}{\infty}} = {0}$ GOOD	time: 0.195000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy

inf^q = 0 for q < 0
inf^q = inf for q > 0
simplifyAssertEq(inf ^ -inf, invalid)	${{\infty}^{-{\infty}}} = {¿}$ GOOD	time: 0.310000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ -2, 0)	${{\infty}^{-2}} = {0}$ GOOD	time: 0.317000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ -1, 0)	${{\infty}^{-1}} = {0}$ GOOD	time: 0.239000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ -.5, 0)	${{\infty}^{-0.5}} = {0}$ GOOD	time: 0.361000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ 0, invalid)	${{\infty}^{0}} = {¿}$ GOOD	time: 0.288000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ .5, inf)	${{\infty}^{0.5}} = {\infty}$ GOOD	time: 0.136000ms stack: size: 8 Init ^:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ 1, inf)	${\infty} = {\infty}$ GOOD	time: 0.102000ms stack: size: 0
simplifyAssertEq(inf ^ 2, inf)	${{\infty}^{2}} = {\infty}$ GOOD	time: 0.315000ms stack: size: 8 Init ^:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ inf, inf)	${{\infty}^{\infty}} = {\infty}$ GOOD	time: 0.175000ms stack: size: 8 Init ^:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy

q^inf = 0 for 0 < q < 1
q^inf = inf for 1 < q
simplifyAssertEq((-2) ^ inf, invalid)	${{-2}^{\infty}} = {¿}$ GOOD	time: 0.401000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((-.5) ^ inf, invalid)	${{-0.5}^{\infty}} = {¿}$ GOOD	time: 0.458000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(0 ^ inf, invalid)	${{0}^{\infty}} = {¿}$ GOOD	time: 0.306000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(.5 ^ inf, 0)	${{0.5}^{\infty}} = {0}$ GOOD	time: 0.322000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(2 ^ inf, inf)	${{2}^{\infty}} = {\infty}$ GOOD	time: 0.213000ms stack: size: 8 Init ^:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy

q^-inf = inf for 0 < q < 1
q^-inf = 0 for 1 < q
simplifyAssertEq((-2) ^ -inf, invalid)	${{-2}^{-{\infty}}} = {¿}$ GOOD	time: 0.754000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((-.5) ^ -inf, invalid)	${{-0.5}^{-{\infty}}} = {¿}$ GOOD	time: 0.834000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(0 ^ -inf, invalid)	${{0}^{-{\infty}}} = {¿}$ GOOD	time: 1.152000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(.5 ^ -inf, inf)	${{0.5}^{-{\infty}}} = {\infty}$ GOOD	time: 0.614000ms stack: size: 10 Init *:Prune:handleInfAndNan unm:Prune:doubleNegative ^:Prune:handleInfAndNan Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(2 ^ -inf, 0)	${{2}^{-{\infty}}} = {0}$ GOOD	time: 0.360000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy

indeterminant:
simplifyAssertEq(Constant(0) / 0, invalid)	${¿} = {¿}$ GOOD	time: 0.181000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
verify short-circuit doesn't interfere simplifyAssertEq(Constant(0) / (Constant(3) * Constant(0)), invalid)	${\frac{0}{{{3}} \cdot {{0}}}} = {¿}$ GOOD	time: 0.548000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(-inf / inf, invalid)	${{\frac{1}{\infty}}{\left({-{\infty}}\right)}} = {¿}$ GOOD	time: 0.334000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf / inf, invalid)	${{\frac{1}{\infty}} {\infty}} = {¿}$ GOOD	time: 0.343000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf / -inf, invalid)	${\frac{\infty}{-{\infty}}} = {¿}$ GOOD	time: 0.377000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(-inf / -inf, invalid)	${\frac{-{\infty}}{-{\infty}}} = {¿}$ GOOD	time: 0.615000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(0 * inf, invalid)	${{{0}} {{\infty}}} = {¿}$ GOOD	time: 0.370000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(0 * -inf, invalid)	${{{0}} \cdot {-{\infty}}} = {¿}$ GOOD	time: 0.486000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf + -inf, invalid)	${{\infty}{-{\infty}}} = {¿}$ GOOD	time: 0.393000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(Constant(0) ^ 0, invalid)	${¿} = {¿}$ GOOD	time: 0.317000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(inf ^ 0, invalid)	${{\infty}^{0}} = {¿}$ GOOD	time: 0.350000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((-1) ^ inf, invalid)	${{-1}^{\infty}} = {¿}$ GOOD	time: 0.213000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((-1) ^ -inf, invalid)	${{-1}^{-{\infty}}} = {¿}$ GOOD	time: 0.483000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(1 ^ inf, invalid)	${{1}^{\infty}} = {¿}$ GOOD	time: 0.229000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(1 ^ -inf, invalid)	${{1}^{-{\infty}}} = {¿}$ GOOD	time: 0.510000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy