On Fri, May 12, 2023 at 11:05 AM Cui, Lili <lili....@intel.com> wrote:
>
> > ISTR there were no sufficient comments in the code explaining why
> > rewrite_expr_tree_parallel_for_fma is better by design.  In fact ...
> >
> > >
> > > >
> > > > >                   if (!reassoc_insert_powi_p
> > > > > -                     && ops.length () > 3
> > > > > +                     && len > 3
> > > > > +                     && (!keep_fma_chain
> > > > > +                         || (keep_fma_chain
> > > > > +                             && len >
> > > > > + param_reassoc_max_chain_length_with_fma))
> > > >
> > > > in the case len < param_reassoc_max_chain_length_with_fma we have
> > > > the chain re-sorted but fall through to non-parallel rewrite.  I
> > > > wonder if we do not want to instead adjust the reassociation width?
> > > > I'd say it depends on the number of mult cases in the chain (sth the re-
> > sorting could have computed).
> > > > Why do we have two completely independent --params here?  Can you
> > > > give an example --param value combination that makes "sense" and
> > > > show how it is beneficial?
> > >
> > > For this small case https://godbolt.org/z/Pxczrre8P a * b + c * d + e
> > > * f  + j
> > >
> > > GCC trunk: ops_num = 4, targetm.sched.reassociation_width is 4 (scalar fp
> > cost is 4). Calculated: Width = 2. we can get 2 FMAs.
> > > ----------------------------------
> > >   _1 = a_6(D) * b_7(D);
> > >   _2 = c_8(D) * d_9(D);
> > >   _5 = _1 + _2;
> > >   _4 = e_10(D) * f_11(D);
> > >   _3 = _4 + j_12(D);
> > >   _13 = _3 + _5;
> > > --------------------------------------------------------
> > >   _2 = c_8(D) * d_9(D);
> > >   _5 = .FMA (a_6(D), b_7(D), _2);
> > >   _3 = .FMA (e_10(D), f_11(D), j_12(D));
> > >   _13 = _3 + _5;
> > > --------------------------------------------------------
> > > New patch: If just rearrange ops and fall through to parallel rewrite to
> > break the chain with width = 2.
> > >
> > > ---------------------------------------------------------
> > >   _1 = a_6(D) * b_7(D);
> > >   _2 = j + _1;          -----> put j at the first.
> > >   _3 = c_8(D) * d_9(D);
> > >   _4 = e_10(D) * f_11(D);
> > >   _5 = _3 + _4;       -----> break chain with width = 2. we lost a FMA 
> > > here.
> > >   _13 = _2 + 5;
> > >
> > > -------------------------------------------------------
> > >   _3 = c_8(D) * d_9(D);
> > >   _2 = .FMA (a_6(D), b_7(D), j);
> > >   _5 = .FMA (e_10(D), f_11(D), _3);
> > >   _13 = _2 + _5;
> > > --------------------------------------------------------
> > > Sometimes break chain will lose FMA( break chain needs put two
> > > mult-ops together, which will lose one FMA ), we can only get 2 FMAs
> > > here, if we want to get 3 FMAs, we need to keep the chain and not
> > > break it. So I added a param to control chain length
> > > "param_reassoc_max_chain_length_with_fma = 4" (For the small case in
> > > Bugzilla 98350, we need to keep the chain to generate 6 FMAs.)
> > > -------------------------------------------------------
> > >   _1 = a_6(D) * b_7(D);
> > >   _2 = c_8(D) * d_9(D);
> > >   _4 = e_10(D) * f_11(D);
> > >   _15 = _4 + j_12(D);
> > >   _16 = _15 + _2;
> > >   _13 = _16 + _1;
> > > -------------------------------------------------------
> > >   _15 = .FMA (e_10(D), f_11(D), j_12(D));
> > >   _16 = .FMA (c_8(D), d_9(D), _15);
> > >   _13 = .FMA (a_6(D), b_7(D), _16);
> > > -------------------------------------------------------
> > > In some case we want to break the chain with width, we can set
> > "param_reassoc_max_chain_length_with_fma = 2", it will rearrange ops and
> > break the chain with width.
> >
> > ... it sounds like the problem could be fully addressed by sorting the chain
> > with reassoc-width in mind?
> > Wouldn't it be preferable if rewrite_expr_tree_parallel would get a vector 
> > of
> > mul and a vector of non-mul ops so it can pick from the optimal candidate?
> >
> > That said, I think rewrite_expr_tree_parallel_for_fma at least needs more
> > comments.
> >
> Sorry for not writing note clearly enough, I'll add more.
> I have two places that need to be clarified.
>
> 1. For some case we need to keep chain to generate more FMAs, because break 
> chain will lose FMA.
>    for example  g + a * b + c * d + e * f,
>    Keep chain can get 3 FMAs, break chain can get 2 FMAs. It's hard to say 
> which one is better, so we provide a param for users to customize.
>
> 2. when the chain has FMAs and need to break the chain with width,
> for example l + a * b + c * d + e * f + g * h + j * k;(we already put non-mul 
> first)
> rewrite_expr_tree_parallel :
> when width = 2, it will break the chain like this. actually it break the 
> chain in to 3. It ignores the width and adds all ops two by two. it will lose 
> FMA.
>
> ssa1 = l + a * b;
> ssa2 = c * d + e * f;
> ssa3 = g * h + j * k;
> ssa4 = ssa1 + ssa2;
> ssa5 = ssa4 + ssa3;
>
> rewrite_expr_tree_parallel_for_fma
> when width = 2, we break the chain into two like this.
>
> ssa1 = l + a * b;
> ssa2 = c * d + e * f;
> ssa3 = ssa1 + g * h;
> ssa4 = ssa2 + j * k;
> ssa5 = ssa3 +ssa4;
>
> I think it's okay to remove or keep rewrite_expr_tree_parallel_for_fma. More 
> FMAs are generated only for some special cases.
> I'm not sure whether the new method is better than the old one. I created a 
> small case the execution time of the two sequences is almost the same on SPR 
> and ICX.

I think to make a difference you need to hit the number of parallel
fadd/fmul the pipeline can perform.  I don't
think issue width is ever a problem for chains w/o fma and throughput
of fma vs fadd + fmul should be similar.

That said, I think iff then we should try to improve
rewrite_expr_tree_parallel rather than adding a new
function.  For example for the case with equal rank operands we can
try to sort adds first.  I can't convince
myself that rewrite_expr_tree_parallel honors ranks properly quickly.

Richard.

> Thanks,
> Lili.
>

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