simplifyAssertEq(#{x:eq(0):solve(x)}, 1)	${1} = {1}$ GOOD	time: 0.467000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(x:eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 0.890000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{x:eq(1):solve(x)}, 1)	${1} = {1}$ GOOD	time: 0.508000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(x:eq(1):solve(x), x:eq(1))	${{x} = {1}} = {{x} = {1}}$ GOOD	time: 0.481000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{(x+1):eq(0):solve(x)}, 1)	${1} = {1}$ GOOD	time: 0.397000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x+1):eq(0):solve(x), x:eq(-1))	${{x} = {-{1}}} = {{x} = {-1}}$ GOOD	time: 0.874000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
simplifyAssertEq(#{(x^2):eq(1):solve(x)}, 2)	${2} = {2}$ GOOD	time: 3.052000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x^2):eq(1):solve(x), x:eq(1))	${{x} = {1}} = {{x} = {1}}$ GOOD	time: 1.523000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x^2):eq(1):solve(x)), x:eq(-1))	${{x} = {-{1}}} = {{x} = {-1}}$ GOOD	time: 1.588000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
simplifyAssertEq(#{(x^2):eq(-1):solve(x)}, 2)	${2} = {2}$ GOOD	time: 1.247000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x^2):eq(-1):solve(x), x:eq(i))	${{x} = {i}} = {{x} = {i}}$ GOOD	time: 1.590000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x^2):eq(-1):solve(x)), x:eq(-i))	${{x} = {-{i}}} = {{x} = {-{i}}}$ GOOD	time: 1.485000ms stack: size: 11 Init unm:Prune:doubleNegative Prune Expand Prune Factor Prune Constant:Tidy:apply *:Tidy:apply *:Tidy:apply Tidy
print((x^2):eq(0):solve(x))	${x} = {0}$ ${x} = {0}$ GOOD	time: 0.783000ms stack: size: 10 Init unm:Prune:doubleNegative ^:Prune:zeroToTheX *:Prune:apply Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{(x^2):eq(0):solve(x)}, 2)	${2} = {2}$ GOOD	time: 0.745000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x^2):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 0.999000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x^2):eq(0):solve(x)), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 0.692000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
same with 3 ...
print((x^3):eq(0):solve(x))	${x} = {0}$ ${x} = {0}$ ${x} = {0}$ GOOD	time: 15.618000ms stack: size: 13 Init ^:Prune:sqrtFix4 sqrt:Prune:apply *:Prune:factorDenominators unm:Prune:doubleNegative ^:Prune:zeroToTheX *:Prune:apply Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{(x^3):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 13.154000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x^3):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 9.149000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x^3):eq(0):solve(x)), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 12.478000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(3, (x^3):eq(0):solve(x)), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 7.516000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
same with 4 ...
print((x^4):eq(0):solve(x))	${x} = {0}$ ${x} = {0}$ ${x} = {0}$ ${x} = {0}$ GOOD	time: 1.781000ms stack: size: 11 Init unm:Prune:doubleNegative ^:Prune:zeroToTheX *:Prune:apply *:Prune:flatten Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{(x^4):eq(0):solve(x)}, 4)	${4} = {4}$ GOOD	time: 2.131000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x^4):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 1.708000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x^4):eq(0):solve(x)), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 2.380000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(3, (x^4):eq(0):solve(x)), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 2.693000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(4, (x^4):eq(0):solve(x)), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 3.347000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
Deterministic order of roots?
For quadratics it is plus sqrt(discr) first then minus
For x^n times P(x) it is the zeroes first (TODO how about instead of enumerating all roots, we provide multiplicity, so (x^n):eq(0):solve(x) can return (for n != 0, x=0 n-times)
distinguish between x*(x^2 + 2x + 1) and (x^3 + 2x^2 + x) , because the solver handles one but not the other
printbr( (x * (x^2 + 2*x + 1)):eq(0):solve(x) )	${x} = {0}$ ${x} = {-{1}}$ ${x} = {-{1}}$ GOOD	time: 2.804000ms stack: size: 22 Init *:Prune:apply unm:Prune:doubleNegative ^:Prune:simplifyConstantPowers *:Prune:apply unm:Prune:doubleNegative +:Prune:combineConstants ^:Prune:zeroToTheX sqrt:Prune:apply +:Prune:combineConstants unm:Prune:doubleNegative +:Prune:combineConstants ^:Prune:xToTheZero *:Prune:apply /:Prune:divToPowSub Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
simplifyAssertEq(#{(x * (x^2 + 2*x + 1)):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 2.092000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x * (x^2 + 2*x + 1)):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 1.097000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x * (x^2 + 2*x + 1)):eq(0):solve(x)), x:eq(-1))	${{x} = {-{1}}} = {{x} = {-1}}$ GOOD	time: 1.119000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
simplifyAssertEq(select(3, (x * (x^2 + 2*x + 1)):eq(0):solve(x)), x:eq(-1))	${{x} = {-{1}}} = {{x} = {-1}}$ GOOD	time: 1.032000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
printbr( (x^3 + 2*x^2 + x):eq(0):solve(x) )	${x} = {0}$ ${x} = {-{{\frac{1}{2}}{\left({{1} + {{{i}} {{\sqrt{3}}}}}\right)}}}$ ${x} = {{\frac{1}{2}}{\left({{-{1}} + {{{i}} {{\sqrt{3}}}}}\right)}}$ GOOD	time: 7.315000ms stack: size: 15 Init unm:Prune:doubleNegative ^:Prune:simplifyConstantPowers *:Prune:apply unm:Prune:doubleNegative +:Prune:combineConstants ^:Prune:sqrtFix4 sqrt:Prune:apply Prune Expand ^:Prune:sqrtFix4 Prune Factor Prune Tidy
simplifyAssertEq(#{(x^3 + 2*x^2 + x):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 7.572000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x * (x^2 + 2*x + 1)):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 0.889000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x * (x^2 + 2*x + 1)):eq(0):solve(x)), x:eq(-1))	${{x} = {-{1}}} = {{x} = {-1}}$ GOOD	time: 1.091000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
simplifyAssertEq(select(3, (x * (x^2 + 2*x + 1)):eq(0):solve(x)), x:eq(-1))	${{x} = {-{1}}} = {{x} = {-1}}$ GOOD	time: 1.276000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
same with x^3 + x^2 - x
printbr( (x * (x^2 + x - 1)):eq(0):solve(x) )	${x} = {0}$ ${x} = {-{{\frac{1}{2}}{\left({{1} + {\sqrt{5}}}\right)}}}$ ${x} = {{\frac{1}{2}}{\left({{-{1}} + {\sqrt{5}}}\right)}}$ GOOD	time: 3.995000ms stack: size: 16 Init unm:Prune:doubleNegative ^:Prune:simplifyConstantPowers *:Prune:apply *:Prune:apply unm:Prune:doubleNegative +:Prune:combineConstants ^:Prune:sqrtFix4 sqrt:Prune:apply Prune Expand ^:Prune:sqrtFix4 Prune Factor Prune Tidy
simplifyAssertEq(#{(x * (x^2 + x - 1)):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 5.880000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x * (x^2 + x - 1)):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 4.511000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x * (x^2 + x - 1)):eq(0):solve(x)), x:eq( -(1 + sqrt(5))/2 ))	${{x} = {-{{\frac{1}{2}}{\left({{1} + {\sqrt{5}}}\right)}}}} = {{x} = {{\frac{1}{2}}{\left({-{\left({{1} + {\sqrt{5}}}\right)}}\right)}}}$ GOOD	time: 5.725000ms stack: size: 13 Init ^:Prune:sqrtFix4 sqrt:Prune:apply unm:Prune:doubleNegative Prune *:Expand:apply Expand *:Prune:apply ^:Prune:sqrtFix4 Prune Factor Prune Tidy
simplifyAssertEq(select(3, (x * (x^2 + x - 1)):eq(0):solve(x)), x:eq( -(1 - sqrt(5))/2 ))	${{x} = {{\frac{1}{2}}{\left({{-{1}} + {\sqrt{5}}}\right)}}} = {{x} = {{\frac{1}{2}}{\left({-{\left({{1}{-{\sqrt{5}}}}\right)}}\right)}}}$ GOOD	time: 4.932000ms stack: size: 23 Init ^:Prune:sqrtFix4 sqrt:Prune:apply unm:Prune:doubleNegative unm:Prune:doubleNegative Prune *:Expand:apply Expand *:Prune:apply ^:Prune:sqrtFix4 ^:Tidy:replacePowerOfFractionWithRoots ^:Prune:sqrtFix4 sqrt:Prune:apply *:Prune:apply *:Prune:flatten Prune Factor Prune Expand Prune Factor Prune Tidy
printbr( (x^3 + x^2 - x):eq(0):solve(x) )	${x} = {0}$ ${x} = {-{{\frac{1}{2}}{\left({{1} + {{{i}} {{\sqrt{3}}}}}\right)}}}$ ${x} = {{\frac{1}{2}}{\left({{-{1}} + {{{i}} {{\sqrt{3}}}}}\right)}}$ GOOD	time: 6.948000ms stack: size: 15 Init unm:Prune:doubleNegative ^:Prune:simplifyConstantPowers *:Prune:apply unm:Prune:doubleNegative +:Prune:combineConstants ^:Prune:sqrtFix4 sqrt:Prune:apply Prune Expand ^:Prune:sqrtFix4 Prune Factor Prune Tidy
simplifyAssertEq(#{(x^3 + x^2 - x):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 8.614000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq((x * (x^2 + x - 1)):eq(0):solve(x), x:eq(0))	${{x} = {0}} = {{x} = {0}}$ GOOD	time: 2.784000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(select(2, (x * (x^2 + x - 1)):eq(0):solve(x)), x:eq( -(1 + sqrt(5))/2 ))	${{x} = {-{{\frac{1}{2}}{\left({{1} + {\sqrt{5}}}\right)}}}} = {{x} = {{\frac{1}{2}}{\left({-{\left({{1} + {\sqrt{5}}}\right)}}\right)}}}$ GOOD	time: 5.042000ms stack: size: 13 Init ^:Prune:sqrtFix4 sqrt:Prune:apply unm:Prune:doubleNegative Prune *:Expand:apply Expand *:Prune:apply ^:Prune:sqrtFix4 Prune Factor Prune Tidy
simplifyAssertEq(select(3, (x * (x^2 + x - 1)):eq(0):solve(x)), x:eq( -(1 - sqrt(5))/2 ))	${{x} = {{\frac{1}{2}}{\left({{-{1}} + {\sqrt{5}}}\right)}}} = {{x} = {{\frac{1}{2}}{\left({-{\left({{1}{-{\sqrt{5}}}}\right)}}\right)}}}$ GOOD	time: 6.568000ms stack: size: 23 Init ^:Prune:sqrtFix4 sqrt:Prune:apply unm:Prune:doubleNegative unm:Prune:doubleNegative Prune *:Expand:apply Expand *:Prune:apply ^:Prune:sqrtFix4 ^:Tidy:replacePowerOfFractionWithRoots ^:Prune:sqrtFix4 sqrt:Prune:apply *:Prune:apply *:Prune:flatten Prune Factor Prune Expand Prune Factor Prune Tidy