simplifyAssertEq(#{x:eq(0):solve(x)}, 1)	${1} = {1}$ GOOD	time: 2.120000ms 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: 4.769000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{x:eq(1):solve(x)}, 1)	${1} = {1}$ GOOD	time: 1.372000ms 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: 2.004000ms stack: size: 7 Init Prune Expand Prune Factor Prune Tidy
simplifyAssertEq(#{(x+1):eq(0):solve(x)}, 1)	${1} = {1}$ GOOD	time: 1.342000ms 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: 2.464000ms 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: 5.448000ms 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: 4.545000ms 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: 4.665000ms 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: 6.932000ms 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: 7.961000ms 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: 6.267000ms 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: 3.547000ms 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: 4.407000ms 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: 3.714000ms 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: 5.663000ms 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: 79.799000ms 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: 59.023000ms 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: 53.066000ms 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: 40.008000ms 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: 42.635000ms 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: 12.748000ms 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: 10.702000ms 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: 15.122000ms 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: 8.790000ms 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: 9.503000ms 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: 7.400000ms 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: 7.286000ms 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: 8.288000ms 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: 11.194000ms 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: 8.297000ms 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: 7.726000ms stack: size: 8 Init Prune Expand Prune Factor Prune Constant:Tidy:apply Tidy
printbr( (x^3 + 2*x^2 + x):eq(0):solve(x) )	${x} = {0}$ ${x} = {-{1}}$ ${x} = {-{1}}$ GOOD	time: 7.388000ms 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^3 + 2*x^2 + x):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 5.991000ms 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: 7.452000ms 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: 4.661000ms 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: 8.502000ms 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: 19.916000ms 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: 18.572000ms 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: 28.155000ms 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: 32.330000ms 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: 26.846000ms 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) )	${x} = {0}$ ${x} = {-{{\frac{1}{2}}{\left({{1} + {\sqrt{5}}}\right)}}}$ ${x} = {{\frac{1}{2}}{\left({{-{1}} + {\sqrt{5}}}\right)}}$ GOOD	time: 11.284000ms 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^3 + x^2 - x):eq(0):solve(x)}, 3)	${3} = {3}$ GOOD	time: 15.441000ms 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: 13.090000ms 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: 31.276000ms 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: 31.102000ms 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