[gnufx]

GCC doesn't default to non-conforming behaviour like -ffast-math -- that's Intel (at least a similar option). That's usually why people mistakenly think GCC vectorization is deficient if they don't use -funsafe-math-optimizations in particular.

[thxg]

Indeed GCC does not enable -ffast-math by default. Unfortunately, -ffast-math and -funsafe-math-optimizations (despite the name) are not the only options that prevent bit-for-bit-reproducible floating point. For example, -ffp-contract=fast is enabled by default [1], and it will lead to different floating-point roundings: Compare [2] which generates an FMA instruction, to [3] when -std=c99 is specified. As another example, -fexcess-precision=fast is also enabled by default. Similarly, [4] does intermediate calculations in the 80-bit x87 registers, while [5] has additional loads and stores to reduce the precision of intermediate results to 64 bits. In both examples, GCC generates code that does not conform to IEEE-754, unless -std=c99 is specified.

[1] From the man page:

    -ffp-contract=style
           -ffp-contract=off disables floating-point expression
           contraction.  -ffp-contract=fast enables floating-point
           expression contraction such as forming of fused multiply-
           add operations if the target has native support for them.
           -ffp-contract=on enables floating-point expression
           contraction if allowed by the language standard.  This is
           currently not implemented and treated equal to
           -ffp-contract=off.
           
           The default is -ffp-contract=fast.

[2] https://godbolt.org/z/GKb7G4nW9

[3] https://godbolt.org/z/KTnqcT6aW

[4] https://godbolt.org/z/4q31oEe14

[5] https://godbolt.org/z/qdf4hceca