StackOverflowError in Test.detect_ambiguities(Base) after importing certain packages

[jishnub]

Based on this discourse discussion, it appears that certain packages result in a StackOverflowError while using Test.detect_ambiguities. An example of this is Hecke.jl

julia> using Hecke
[banner suppressed]

julia> Test.detect_ambiguities(Base)
ERROR: StackOverflowError:
Stacktrace:
 [1] _methods_by_ftype at ./reflection.jl:841 [inlined]
 [2] _methods_by_ftype(::Any, ::Int64, ::UInt64) at ./reflection.jl:838
 [3] isambiguous(::Method, ::Method; ambiguous_bottom::Bool) at ./reflection.jl:1301
 [4] detect_ambiguities(::Module; imported::Bool, recursive::Bool, ambiguous_bottom::Bool) at /buildworker/worker/package_linux64/build/usr/share/julia/stdlib/v1.4/Test/src/Test.jl:1440
 [5] detect_ambiguities(::Module) at /buildworker/worker/package_linux64/build/usr/share/julia/stdlib/v1.4/Test/src/Test.jl:1415
 [6] top-level scope at REPL[3]:1

This is using Hecke v0.8.4 on Julia v1.4.2, and the error persists on Julia v1.5.0-rc2:

julia> Test.detect_ambiguities(Base)
ERROR: StackOverflowError:
Stacktrace:
 [1] _methods_by_ftype at ./reflection.jl:858 [inlined]
 [2] _methods_by_ftype(::Any, ::Int64, ::UInt64) at ./reflection.jl:855
 [3] isambiguous(::Method, ::Method; ambiguous_bottom::Bool) at ./reflection.jl:1308
 [4] detect_ambiguities(::Module; imported::Bool, recursive::Bool, ambiguous_bottom::Bool) at /buildworker/worker/package_linux64/build/usr/share/julia/stdlib/v1.5/Test/src/Test.jl:1446
 [5] detect_ambiguities(::Module) at /buildworker/worker/package_linux64/build/usr/share/julia/stdlib/v1.5/Test/src/Test.jl:1421
 [6] top-level scope at REPL[4]:1

[thofma]

Crashes also with AbstractAlgebra for me, which is pure julia and quicker to install.

[tkf]

ref #35909

[KristofferC]

Looks like a dup.