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    • Svex-focused-equivalence-checking

    Svexlist-evals-equal-with-transforms

    Signature
    (svexlist-evals-equal-with-transforms x env1 env2 symbolic-params 
                                          transforms &key tracked-alist) 
     
      → 
    *
    Arguments
    x — Guard (svexlist-p x).
    env1 — Guard (svex-env-p env1).
    env2 — Guard (svex-env-p env2).
    symbolic-params — Guard (alistp symbolic-params).

    Definitions and Theorems

    Function: svexlist-evals-equal-with-transforms-fn

    (defun svexlist-evals-equal-with-transforms-fn
           (x env1 env2 symbolic-params
              transforms tracked-alist)
      (declare (xargs :guard (and (svexlist-p x)
                                  (svex-env-p env1)
                                  (svex-env-p env2)
                                  (alistp symbolic-params))))
      (declare (ignorable symbolic-params
                          transforms tracked-alist))
      (let ((__function__ 'svexlist-evals-equal-with-transforms))
        (declare (ignorable __function__))
        (svexlist-evals-equal x env1 env2)))

    Theorem: unequiv-implies-equal-svexlist-evals-equal-with-transforms-fn-4

    (defthm
        unequiv-implies-equal-svexlist-evals-equal-with-transforms-fn-4
      (implies (fgl::unequiv symbolic-params symbolic-params-equiv)
               (equal (svexlist-evals-equal-with-transforms-fn
                           x env1 env2 symbolic-params
                           transforms tracked-alist)
                      (svexlist-evals-equal-with-transforms-fn
                           x env1 env2 symbolic-params-equiv
                           transforms tracked-alist)))
      :rule-classes (:congruence))

    Theorem: unequiv-implies-equal-svexlist-evals-equal-with-transforms-fn-5

    (defthm
        unequiv-implies-equal-svexlist-evals-equal-with-transforms-fn-5
      (implies (fgl::unequiv transforms transforms-equiv)
               (equal (svexlist-evals-equal-with-transforms-fn
                           x env1 env2 symbolic-params
                           transforms tracked-alist)
                      (svexlist-evals-equal-with-transforms-fn
                           x env1 env2 symbolic-params
                           transforms-equiv tracked-alist)))
      :rule-classes (:congruence))

    Theorem: unequiv-implies-equal-svexlist-evals-equal-with-transforms-fn-6

    (defthm
        unequiv-implies-equal-svexlist-evals-equal-with-transforms-fn-6
      (implies (fgl::unequiv tracked-alist tracked-alist-equiv)
               (equal (svexlist-evals-equal-with-transforms-fn
                           x env1 env2 symbolic-params
                           transforms tracked-alist)
                      (svexlist-evals-equal-with-transforms-fn
                           x env1 env2 symbolic-params
                           transforms tracked-alist-equiv)))
      :rule-classes (:congruence))

    Theorem: svexlist-evals-equal-with-transforms-fgl

    (defthm svexlist-evals-equal-with-transforms-fgl
     (equal
      (svexlist-evals-equal-with-transforms
           x env1 env2 symbolic-params transforms
           :tracked-alist tracked-alist)
      (b*
       ((orig-x x)
        (env1 (make-fast-alist (svex-env-fix env1)))
        (env2 (make-fast-alist (svex-env-fix env2)))
        (svars
         (union
              (svexlist-vars-for-symbolic-eval x env1 symbolic-params)
              (svexlist-vars-for-symbolic-eval x env2 symbolic-params)))
        (x (svexlist-x-out-unused-vars
                x svars
                (symbolic-params-x-out-cond symbolic-params)))
        (x (maybe-svexlist-rewrite-fixpoint
                x
                (cdr (assoc :simplify symbolic-params))))
        (boolmasks
         (make-fast-alist
          (hons-copy
             (ec-call (svar-boolmasks-fix
                           (cdr (assoc :boolmasks symbolic-params)))))))
        ((unless (and (svex-env-check-boolmasks boolmasks env1)
                      (svex-env-check-boolmasks boolmasks env2)))
         (b*
          ((?ign
               (cw "ERROR: some bits assumed to be Boolean were not~%"))
           (?foo (break$)))
          (fgl::abort-rewrite (svexlist-evals-equal orig-x env1 env2))))
        ((mv err x-a4vecs hint-a4vecs)
         (time$
          (svexlist->a4vecs-for-varlist-with-subexprs x svars boolmasks)
          :msg "; svex->aigs: ~st sec, ~sa bytes.~%"))
        ((when err)
         (b* ((?ign (cw "ERROR gathering AIG bits for variables: ~@0~%"
                        err)))
          (fgl::abort-rewrite (svexlist-evals-equal orig-x env1 env2))))
        ((mv ?err aig-env1)
         (time$
            (svexlist->a4vec-aig-env-for-varlist x svars boolmasks env1)
            :msg "; env -> aig env: ~st sec, ~sa bytes.~%"))
        (aig-env1 (make-fast-alist aig-env1))
        ((mv ?err aig-env2)
         (time$
            (svexlist->a4vec-aig-env-for-varlist x svars boolmasks env2)
            :msg "; env -> aig env: ~st sec, ~sa bytes.~%"))
        (aig-env2 (make-fast-alist aig-env2))
        (?ign (fast-alist-free env1))
        (?ign (fast-alist-free env2))
        (x-eval1
         (time$
              (a4veclist-eval x-a4vecs aig-env1)
              :msg "; a4veclist-eval (x, env1): ~st sec, ~sa bytes.~%"))
        (hint-eval1
         (time$
            (a4veclist-eval hint-a4vecs aig-env1)
            :msg "; a4veclist-eval (sub, env1): ~st sec, ~sa bytes.~%"))
        (x-eval2
         (time$
              (a4veclist-eval x-a4vecs aig-env2)
              :msg "; a4veclist-eval (x, env2): ~st sec, ~sa bytes.~%"))
        (hint-eval2
         (time$
            (a4veclist-eval hint-a4vecs aig-env2)
            :msg "; a4veclist-eval (sub, env2): ~st sec, ~sa bytes.~%"))
        (evals-equal (equal x-eval1 x-eval2))
        ((mv iso-ok hint-eval1 hint-eval2)
         (fgl::fgl-make-isomorphic iso-ok hint-eval1 hint-eval2))
        ((unless iso-ok)
         (b*
          ((?ign
            (cw
             "ERROR: the equivalence hint objects couldn't be made isomorphic!~%"))
           (?foo (break$)))
          (fgl::abort-rewrite (svexlist-evals-equal orig-x env1 env2))))
        (len1
         (fgl::syntax-bind
          len1
          (fgl::g-concrete (len (fgl::fgl-object-bfrlist hint-eval1)))))
        (len2
         (fgl::syntax-bind
          len2
          (fgl::g-concrete (len (fgl::fgl-object-bfrlist hint-eval2)))))
        ((unless (fgl::syntax-bind lens-equal (equal len1 len2)))
         (b*
          ((?ign
            (cw
             "ERROR: the number of BFR objects in the ~
                                     equivalence hint objects wasn't equal after ~
                                     they were made isomorphic!~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (svexlist-evals-equal orig-x env1 env2)))))
       (fgl::fgl-simplify-ordered
        evals-equal transforms
        :tracked-obj
        (cons
         (cons
           :evals-equivalent-equiv-classes (cons hint-eval1 hint-eval2))
         tracked-alist)))))

    Theorem: svexlist-evals-equal-with-transforms-fgl-less-extreme

    (defthm svexlist-evals-equal-with-transforms-fgl-less-extreme
     (equal
      (svexlist-evals-equal-with-transforms
           x env1 env2 symbolic-params transforms
           :tracked-alist tracked-alist)
      (b*
       ((orig-x x)
        (env1 (make-fast-alist (svex-env-fix env1)))
        (env2 (make-fast-alist (svex-env-fix env2)))
        ((mv masks ?toposort)
         (svexlist-mask-alist/toposort-memo x))
        (const-env
         (time$
            (svex-mask-env-common-constants const-env masks env1 env2)))
        (x
         (time$
          (svexlist-compose-rw
             x
             (make-svex-substconfig
                  :alist (make-fast-alist (svex-env-to-subst const-env))
                  :simp 10))))
        (svars
         (union
              (svexlist-vars-for-symbolic-eval x env1 symbolic-params)
              (svexlist-vars-for-symbolic-eval x env2 symbolic-params)))
        (x (svexlist-x-out-unused-vars
                x svars
                (symbolic-params-x-out-cond symbolic-params)))
        (x (maybe-svexlist-rewrite-fixpoint
                x
                (cdr (assoc :simplify symbolic-params))))
        (boolmasks
         (make-fast-alist
          (hons-copy
             (ec-call (svar-boolmasks-fix
                           (cdr (assoc :boolmasks symbolic-params)))))))
        ((unless (and (svex-env-check-boolmasks boolmasks env1)
                      (svex-env-check-boolmasks boolmasks env2)))
         (b*
          ((?ign
               (cw "ERROR: some bits assumed to be Boolean were not~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (and (svexlist-evals-equal orig-x env1 env2)))))
        ((mv err x-a4vecs subexp-a4vecs)
         (time$
          (svexlist->a4vecs-for-varlist-with-subexprs x svars boolmasks)
          :msg "; svex->aigs: ~st sec, ~sa bytes.~%"))
        ((when err)
         (b* ((?ign (cw "ERROR gathering AIG bits for variables: ~@0~%"
                        err)))
           (fgl::abort-rewrite
                (and (svexlist-evals-equal orig-x env1 env2)))))
        ((mv ?err aig-env1)
         (time$
            (svexlist->a4vec-aig-env-for-varlist x svars boolmasks env1)
            :msg "; env -> aig env: ~st sec, ~sa bytes.~%"))
        (aig-env1 (make-fast-alist aig-env1))
        ((mv ?err aig-env2)
         (time$
            (svexlist->a4vec-aig-env-for-varlist x svars boolmasks env2)
            :msg "; env -> aig env: ~st sec, ~sa bytes.~%"))
        (aig-env2 (make-fast-alist aig-env2))
        (?ign (fast-alist-free env1))
        (?ign (fast-alist-free env2))
        ((mv x-eval1 sub-eval1 & & &)
         (eval-collection-of-a4vecs-and-aigs
              x-a4vecs
              subexp-a4vecs nil nil nil aig-env1))
        ((mv x-eval2 sub-eval2 & & &)
         (eval-collection-of-a4vecs-and-aigs
              x-a4vecs
              subexp-a4vecs nil nil nil aig-env2))
        (evals-equal (equal x-eval1 x-eval2))
        (sub-eval1 (acl2::list-to-tree sub-eval1))
        (sub-eval2 (acl2::list-to-tree sub-eval2))
        ((mv iso-ok hint-iso1 hint-iso2)
         (time$ (fgl::fgl-make-isomorphic iso-ok sub-eval1 sub-eval2)))
        ((unless iso-ok)
         (b*
          ((?ign
            (cw
             "ERROR: the equivalence hint objects couldn't be made isomorphic!~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (and (svexlist-evals-equal orig-x env1 env2)))))
        (len1
         (fgl::syntax-bind
           len1
           (fgl::g-concrete (len (fgl::fgl-object-bfrlist hint-iso1)))))
        (len2
         (fgl::syntax-bind
           len2
           (fgl::g-concrete (len (fgl::fgl-object-bfrlist hint-iso2)))))
        ((unless (fgl::syntax-bind lens-equal (equal len1 len2)))
         (b*
          ((?ign
            (cw
             "ERROR: the number of BFR objects in the ~
                                     equivalence hint objects wasn't equal after ~
                                     they were made isomorphic!~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (and (svexlist-evals-equal orig-x env1 env2))))))
       (fgl::fgl-simplify-ordered
        evals-equal transforms
        :tracked-obj
        (cons
         (cons
             :evals-equivalent-equiv-classes (cons hint-iso1 hint-iso2))
         tracked-alist)))))

    Theorem: svexlist-evals-equal-with-transforms-fgl-extreme

    (defthm svexlist-evals-equal-with-transforms-fgl-extreme
     (equal
      (svexlist-evals-equal-with-transforms
           x env1 env2 symbolic-params transforms
           :tracked-alist tracked-alist)
      (b*
       ((orig-x x)
        (env1 (make-fast-alist (svex-env-fix env1)))
        (env2 (make-fast-alist (svex-env-fix env2)))
        ((mv masks ?toposort)
         (svexlist-mask-alist/toposort-memo x))
        (const-env
         (time$
            (svex-mask-env-common-constants const-env masks env1 env2)))
        (x
         (time$
          (svexlist-compose-rw
             x
             (make-svex-substconfig
                  :alist (make-fast-alist (svex-env-to-subst const-env))
                  :simp 10))))
        (svars
         (union
              (svexlist-vars-for-symbolic-eval x env1 symbolic-params)
              (svexlist-vars-for-symbolic-eval x env2 symbolic-params)))
        (x (svexlist-x-out-unused-vars
                x svars
                (symbolic-params-x-out-cond symbolic-params)))
        (x (maybe-svexlist-rewrite-fixpoint
                x
                (cdr (assoc :simplify symbolic-params))))
        (boolmasks
         (make-fast-alist
          (hons-copy
             (ec-call (svar-boolmasks-fix
                           (cdr (assoc :boolmasks symbolic-params)))))))
        ((unless (and (svex-env-check-boolmasks boolmasks env1)
                      (svex-env-check-boolmasks boolmasks env2)))
         (b*
          ((?ign
               (cw "ERROR: some bits assumed to be Boolean were not~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (and (svexlist-evals-equal orig-x env1 env2)))))
        ((mv err x-a4vecs)
         (time$ (svexlist->a4vecs-for-varlist x svars boolmasks)
                :msg "; svex->aigs: ~st sec, ~sa bytes.~%"))
        ((when err)
         (b* ((?ign (cw "ERROR gathering AIG bits for variables: ~@0~%"
                        err)))
           (fgl::abort-rewrite
                (and (svexlist-evals-equal orig-x env1 env2)))))
        ((mv ?err aig-env1)
         (time$
            (svexlist->a4vec-aig-env-for-varlist x svars boolmasks env1)
            :msg "; env -> aig env: ~st sec, ~sa bytes.~%"))
        (aig-env1 (make-fast-alist aig-env1))
        ((mv ?err aig-env2)
         (time$
            (svexlist->a4vec-aig-env-for-varlist x svars boolmasks env2)
            :msg "; env -> aig env: ~st sec, ~sa bytes.~%"))
        (aig-env2 (make-fast-alist aig-env2))
        (?ign (fast-alist-free env1))
        (?ign (fast-alist-free env2))
        (aigs (a4veclist-subnodes x-a4vecs))
        ((mv x-eval1 & & & aigs-eval1)
         (eval-collection-of-a4vecs-and-aigs
              x-a4vecs nil nil nil aigs aig-env1))
        ((mv x-eval2 & & & aigs-eval2)
         (eval-collection-of-a4vecs-and-aigs
              x-a4vecs nil nil nil aigs aig-env2))
        (evals-equal (equal x-eval1 x-eval2))
        (aigs-eval1 (acl2::list-to-tree aigs-eval1))
        (aigs-eval2 (acl2::list-to-tree aigs-eval2))
        ((mv iso-ok hint-iso1 hint-iso2)
         (time$
              (fgl::fgl-make-isomorphic iso-ok aigs-eval1 aigs-eval2)))
        ((unless iso-ok)
         (b*
          ((?ign
            (cw
             "ERROR: the equivalence hint objects couldn't be made isomorphic!~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (and (svexlist-evals-equal orig-x env1 env2)))))
        (len1
         (fgl::syntax-bind
           len1
           (fgl::g-concrete (len (fgl::fgl-object-bfrlist hint-iso1)))))
        (len2
         (fgl::syntax-bind
           len2
           (fgl::g-concrete (len (fgl::fgl-object-bfrlist hint-iso2)))))
        ((unless (fgl::syntax-bind lens-equal (equal len1 len2)))
         (b*
          ((?ign
            (cw
             "ERROR: the number of BFR objects in the ~
                                     equivalence hint objects wasn't equal after ~
                                     they were made isomorphic!~%"))
           (?foo (break$)))
          (fgl::abort-rewrite
               (and (svexlist-evals-equal orig-x env1 env2))))))
       (fgl::fgl-simplify-ordered
        evals-equal transforms
        :tracked-obj
        (cons
         (cons
             :evals-equivalent-equiv-classes (cons hint-iso1 hint-iso2))
         tracked-alist)))))