diff --git a/base/compiler/abstractinterpretation.jl b/base/compiler/abstractinterpretation.jl
index 4db0505e4e38c..5699514c53ebf 100644
--- a/base/compiler/abstractinterpretation.jl
+++ b/base/compiler/abstractinterpretation.jl
@@ -715,7 +715,7 @@ function concrete_eval_eligible(interp::AbstractInterpreter,
     isoverlayed(method_table(interp)) && !is_nonoverlayed(result.edge_effects) && return false
     return f !== nothing &&
            result.edge !== nothing &&
-           is_total_or_error(result.edge_effects) &&
+           is_concrete_eval_eligible(result.edge_effects) &&
            is_all_const_arg(arginfo)
 end
 
diff --git a/base/compiler/types.jl b/base/compiler/types.jl
index 96f882ea4a770..e594c233353d9 100644
--- a/base/compiler/types.jl
+++ b/base/compiler/types.jl
@@ -113,13 +113,13 @@ is_nothrow(effects::Effects)      = effects.nothrow === ALWAYS_TRUE
 is_terminates(effects::Effects)   = effects.terminates === ALWAYS_TRUE
 is_nonoverlayed(effects::Effects) = effects.nonoverlayed
 
-is_total_or_error(effects::Effects) =
+is_concrete_eval_eligible(effects::Effects) =
     is_consistent(effects) &&
     is_effect_free(effects) &&
     is_terminates(effects)
 
 is_total(effects::Effects) =
-    is_total_or_error(effects) &&
+    is_concrete_eval_eligible(effects) &&
     is_nothrow(effects)
 
 is_removable_if_unused(effects::Effects) =
diff --git a/base/expr.jl b/base/expr.jl
index de1045d6addfe..7352c7863f8e1 100644
--- a/base/expr.jl
+++ b/base/expr.jl
@@ -337,12 +337,17 @@ end
 
 """
     @pure ex
-    @pure(ex)
 
 `@pure` gives the compiler a hint for the definition of a pure function,
 helping for type inference.
 
-This macro is intended for internal compiler use and may be subject to changes.
+!!! warning
+    This macro is intended for internal compiler use and may be subject to changes.
+
+!!! warning
+    In Julia 1.8 and higher, it is favorable to use [`@assume_effects`](@ref) instead of `@pure`.
+    This is because `@assume_effects` allows a finer grained control over Julia's purity
+    modeling and the effect system enables a wider range of optimizations.
 """
 macro pure(ex)
     esc(isa(ex, Expr) ? pushmeta!(ex, :pure) : ex)
@@ -350,7 +355,6 @@ end
 
 """
     @constprop setting ex
-    @constprop(setting, ex)
 
 `@constprop` controls the mode of interprocedural constant propagation for the
 annotated function. Two `setting`s are supported:
@@ -373,11 +377,35 @@ end
 
 """
     @assume_effects setting... ex
-    @assume_effects(setting..., ex)
 
 `@assume_effects` overrides the compiler's effect modeling for the given method.
 `ex` must be a method definition or `@ccall` expression.
 
+```jldoctest
+julia> Base.@assume_effects :terminates_locally function pow(x)
+           # this :terminates_locally allows `pow` to be constant-folded
+           res = 1
+           1 < x < 20 || error("bad pow")
+           while x > 1
+               res *= x
+               x -= 1
+           end
+           return res
+       end
+pow (generic function with 1 method)
+
+julia> code_typed() do
+           pow(12)
+       end
+1-element Vector{Any}:
+ CodeInfo(
+1 ─     return 479001600
+) => Int64
+
+julia> Base.@assume_effects :total_may_throw @ccall jl_type_intersection(Vector{Int}::Any, Vector{<:Integer}::Any)::Any
+Vector{Int64} (alias for Array{Int64, 1})
+```
+
 !!! warning
     Improper use of this macro causes undefined behavior (including crashes,
     incorrect answers, or other hard to track bugs). Use with care and only if
@@ -512,11 +540,26 @@ This `setting` combines the following other assertions:
 - `:terminates_globally`
 and is a convenient shortcut.
 
+---
+# `:total_may_throw`
+
+This `setting` combines the following other assertions:
+- `:consistent`
+- `:effect_free`
+- `:terminates_globally`
+and is a convenient shortcut.
+
 !!! note
-    `@assume_effects :total` is similar to `@Base.pure` with the primary
+    This setting is particularly useful since it allows the compiler to evaluate a call of
+    the applied method when all the call arguments are fully known to be constant, no matter
+    if the call results in an error or not.
+
+    `@assume_effects :total_may_throw` is similar to [`@pure`](@ref) with the primary
     distinction that the `:consistent`-cy requirement applies world-age wise rather
     than globally as described above. However, in particular, a method annotated
-    `@Base.pure` is always `:total`.
+    `@pure` should always be `:total` or `:total_may_throw`.
+    Another advantage is that effects introduced by `@assume_effects` are propagated to
+    callers interprocedurally while a purity defined by `@pure` is not.
 """
 macro assume_effects(args...)
     (consistent, effect_free, nothrow, terminates_globally, terminates_locally) =
@@ -537,12 +580,14 @@ macro assume_effects(args...)
             terminates_locally = true
         elseif setting === :total
             consistent = effect_free = nothrow = terminates_globally = true
+        elseif setting === :total_may_throw
+            consistent = effect_free = terminates_globally = true
         else
             throw(ArgumentError("@assume_effects $setting not supported"))
         end
     end
     ex = args[end]
-    isa(ex, Expr) || throw(ArgumentError("Bad expression `$ex` in @constprop [settings] ex"))
+    isa(ex, Expr) || throw(ArgumentError("Bad expression `$ex` in `@assume_effects [settings] ex`"))
     if ex.head === :macrocall && ex.args[1] == Symbol("@ccall")
         ex.args[1] = GlobalRef(Base, Symbol("@ccall_effects"))
         insert!(ex.args, 3, Core.Compiler.encode_effects_override(Core.Compiler.EffectsOverride(
@@ -725,7 +770,7 @@ end
 
 """
     @generated f
-    @generated(f)
+
 `@generated` is used to annotate a function which will be generated.
 In the body of the generated function, only types of arguments can be read
 (not the values). The function returns a quoted expression evaluated when the
diff --git a/test/compiler/inline.jl b/test/compiler/inline.jl
index f7f7b5e0e6c53..5c133f0f23fd5 100644
--- a/test/compiler/inline.jl
+++ b/test/compiler/inline.jl
@@ -1185,11 +1185,11 @@ recur_termination22(x) = x * recur_termination21(x-1)
     recur_termination21(12) + recur_termination22(12)
 end
 
-const ___CONST_DICT___ = Dict{Any,Any}(:a => 1, :b => 2)
-Base.@assume_effects :consistent :effect_free :terminates_globally consteval(
+const ___CONST_DICT___ = Dict{Any,Any}(Symbol(c) => i for (i, c) in enumerate('a':'z'))
+Base.@assume_effects :total_may_throw concrete_eval(
     f, args...; kwargs...) = f(args...; kwargs...)
 @test fully_eliminated() do
-    consteval(getindex, ___CONST_DICT___, :a)
+    concrete_eval(getindex, ___CONST_DICT___, :a)
 end
 
 # https://github.com/JuliaLang/julia/issues/44732