diff --git a/src/runtime_intrinsics.c b/src/runtime_intrinsics.c
index 90afa3fb6bddf..49d510cc48c34 100644
--- a/src/runtime_intrinsics.c
+++ b/src/runtime_intrinsics.c
@@ -1424,17 +1424,17 @@ bi_fintrinsic(_min, min_float)
 float max_float(float x, float y) JL_NOTSAFEPOINT
 {
     float diff = x - y;
-    float argmin = signbit(diff) ? y : x;
+    float argmax = signbit(diff) ? y : x;
     int is_nan = isnan(x) || isnan(y);
-    return is_nan ? diff : argmin;
+    return is_nan ? diff : argmax;
 }
 
 double max_double(double x, double y) JL_NOTSAFEPOINT
 {
     double diff = x - y;
-    double argmin = signbit(diff) ? x : y;
+    double argmax = signbit(diff) ? y : x;
     int is_nan = isnan(x) || isnan(y);
-    return is_nan ? diff : argmin;
+    return is_nan ? diff : argmax;
 }
 
 #define _max(a, b) sizeof(a) == sizeof(float) ? max_float(a, b) : max_double(a, b)
diff --git a/test/intrinsics.jl b/test/intrinsics.jl
index 7a63cd1c0a62e..bc1838ce2c68b 100644
--- a/test/intrinsics.jl
+++ b/test/intrinsics.jl
@@ -147,9 +147,81 @@ macro test_intrinsic(intr, args...)
     end
 end
 
+@testset "Float64 intrinsics" begin
+    # unary
+    @test_intrinsic Core.Intrinsics.abs_float Float64(-3.3) Float64(3.3)
+    @test_intrinsic Core.Intrinsics.neg_float Float64(3.3) Float64(-3.3)
+    @test_intrinsic Core.Intrinsics.fpext Float64 Float64(3.3) Float64(3.3)
+
+    # binary
+    @test_intrinsic Core.Intrinsics.add_float Float64(3.3) Float64(2) Float64(5.3)
+    @test_intrinsic Core.Intrinsics.sub_float Float64(3.3) Float64(2) Float64(1.2999999999999998)
+    @test_intrinsic Core.Intrinsics.mul_float Float64(3.3) Float64(2) Float64(6.6)
+    @test_intrinsic Core.Intrinsics.div_float Float64(3.3) Float64(2) Float64(1.65)
+    @test_intrinsic Core.Intrinsics.max_float Float64(1.0) Float64(2.0) Float64(2.0)
+    @test_intrinsic Core.Intrinsics.min_float Float64(1.0) Float64(2.0) Float64(1.0)
+
+    # ternary
+    @test_intrinsic Core.Intrinsics.fma_float Float64(3.3) Float64(4.4) Float64(5.5) Float64(20.02)
+    @test_intrinsic Core.Intrinsics.muladd_float Float64(3.3) Float64(4.4) Float64(5.5) Float64(20.02)
+
+    # boolean
+    @test_intrinsic Core.Intrinsics.eq_float Float64(3.3) Float64(3.3) true
+    @test_intrinsic Core.Intrinsics.eq_float Float64(3.3) Float64(2) false
+    @test_intrinsic Core.Intrinsics.ne_float Float64(3.3) Float64(3.3) false
+    @test_intrinsic Core.Intrinsics.ne_float Float64(3.3) Float64(2) true
+    @test_intrinsic Core.Intrinsics.le_float Float64(3.3) Float64(3.3) true
+    @test_intrinsic Core.Intrinsics.le_float Float64(3.3) Float64(2) false
+
+    # conversions
+    @test_intrinsic Core.Intrinsics.sitofp Float64 3 Float64(3.0)
+    @test_intrinsic Core.Intrinsics.uitofp Float64 UInt(3) Float64(3.0)
+    @test_intrinsic Core.Intrinsics.fptosi Int Float64(3.3) 3
+    @test_intrinsic Core.Intrinsics.fptoui UInt Float64(3.3) UInt(3)
+end
+
+@testset "Float32 intrinsics" begin
+    # unary
+    @test_intrinsic Core.Intrinsics.abs_float Float32(-3.3) Float32(3.3)
+    @test_intrinsic Core.Intrinsics.neg_float Float32(3.3) Float32(-3.3)
+    @test_intrinsic Core.Intrinsics.fpext Float32 Float32(3.3) Float32(3.3)
+    @test_intrinsic Core.Intrinsics.fpext Float64 Float32(3.3) 3.299999952316284
+    @test_intrinsic Core.Intrinsics.fptrunc Float32 Float64(3.3) Float32(3.3)
+
+    # binary
+    @test_intrinsic Core.Intrinsics.add_float Float32(3.3) Float32(2) Float32(5.3)
+    @test_intrinsic Core.Intrinsics.sub_float Float32(3.3) Float32(2) Float32(1.3)
+    @test_intrinsic Core.Intrinsics.mul_float Float32(3.3) Float32(2) Float32(6.6)
+    @test_intrinsic Core.Intrinsics.div_float Float32(3.3) Float32(2) Float32(1.65)
+    @test_intrinsic Core.Intrinsics.max_float Float32(1.0) Float32(2.0) Float32(2.0)
+    @test_intrinsic Core.Intrinsics.min_float Float32(1.0) Float32(2.0) Float32(1.0)
+
+    # ternary
+    @test_intrinsic Core.Intrinsics.fma_float Float32(3.3) Float32(4.4) Float32(5.5) Float32(20.02)
+    @test_intrinsic Core.Intrinsics.muladd_float Float32(3.3) Float32(4.4) Float32(5.5) Float32(20.02)
+
+    # boolean
+    @test_intrinsic Core.Intrinsics.eq_float Float32(3.3) Float32(3.3) true
+    @test_intrinsic Core.Intrinsics.eq_float Float32(3.3) Float32(2) false
+    @test_intrinsic Core.Intrinsics.ne_float Float32(3.3) Float32(3.3) false
+    @test_intrinsic Core.Intrinsics.ne_float Float32(3.3) Float32(2) true
+    @test_intrinsic Core.Intrinsics.le_float Float32(3.3) Float32(3.3) true
+    @test_intrinsic Core.Intrinsics.le_float Float32(3.3) Float32(2) false
+
+    # conversions
+    @test_intrinsic Core.Intrinsics.sitofp Float32 3 Float32(3.0)
+    @test_intrinsic Core.Intrinsics.uitofp Float32 UInt(3) Float32(3.0)
+    @test_intrinsic Core.Intrinsics.fptosi Int Float32(3.3) 3
+    @test_intrinsic Core.Intrinsics.fptoui UInt Float32(3.3) UInt(3)
+end
+
 @testset "Float16 intrinsics" begin
     # unary
+    @test_intrinsic Core.Intrinsics.abs_float Float16(-3.3) Float16(3.3)
     @test_intrinsic Core.Intrinsics.neg_float Float16(3.3) Float16(-3.3)
+    # See <https://github.com/JuliaLang/julia/issues/57130>
+    #broken @test_intrinsic Core.Intrinsics.fpext Float16 Float16(3.3) Float16(3.3)
+    @test_broken Core.Intrinsics.fpext(Float16, Float16(3.3)) === Float16(3.3)
     @test_intrinsic Core.Intrinsics.fpext Float32 Float16(3.3) 3.3007812f0
     @test_intrinsic Core.Intrinsics.fpext Float64 Float16(3.3) 3.30078125
     @test_intrinsic Core.Intrinsics.fptrunc Float16 Float32(3.3) Float16(3.3)
@@ -160,6 +232,8 @@ end
     @test_intrinsic Core.Intrinsics.sub_float Float16(3.3) Float16(2) Float16(1.301)
     @test_intrinsic Core.Intrinsics.mul_float Float16(3.3) Float16(2) Float16(6.6)
     @test_intrinsic Core.Intrinsics.div_float Float16(3.3) Float16(2) Float16(1.65)
+    @test_intrinsic Core.Intrinsics.max_float Float16(1.0) Float16(2.0) Float16(2.0)
+    @test_intrinsic Core.Intrinsics.min_float Float16(1.0) Float16(2.0) Float16(1.0)
 
     # ternary
     @test_intrinsic Core.Intrinsics.fma_float Float16(3.3) Float16(4.4) Float16(5.5) Float16(20.02)
@@ -174,8 +248,8 @@ end
     @test_intrinsic Core.Intrinsics.le_float Float16(3.3) Float16(2) false
 
     # conversions
-    @test_intrinsic Core.Intrinsics.sitofp Float16 3 Float16(3f0)
-    @test_intrinsic Core.Intrinsics.uitofp Float16 UInt(3) Float16(3f0)
+    @test_intrinsic Core.Intrinsics.sitofp Float16 3 Float16(3.0)
+    @test_intrinsic Core.Intrinsics.uitofp Float16 UInt(3) Float16(3.0)
     @test_intrinsic Core.Intrinsics.fptosi Int Float16(3.3) 3
     @test_intrinsic Core.Intrinsics.fptoui UInt Float16(3.3) UInt(3)
 end