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• Expression-optimization

Vl-gateinstlist-optimize

Optimize expressions throughout a vl-gateinstlist-p.

Signature

(vl-gateinstlist-optimize x ss) → (mv changedp new-x)

Arguments

x — Guard (vl-gateinstlist-p x).

ss — Guard (vl-scopestack-p ss).

Returns

changedp — Type (booleanp changedp).

new-x — Type (vl-gateinstlist-p new-x).

Definitions and Theorems

Function: vl-gateinstlist-optimize

(defun vl-gateinstlist-optimize (x ss)
  (declare (xargs :guard (and (vl-gateinstlist-p x)
                              (vl-scopestack-p ss))))
  (let ((__function__ 'vl-gateinstlist-optimize))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv nil nil))
         ((mv car-changedp car-prime)
          (vl-gateinst-optimize (car x) ss))
         ((mv cdr-changedp cdr-prime)
          (vl-gateinstlist-optimize (cdr x) ss)))
      (mv (or car-changedp cdr-changedp)
          (cons car-prime cdr-prime)))))

Theorem: booleanp-of-vl-gateinstlist-optimize.changedp

(defthm booleanp-of-vl-gateinstlist-optimize.changedp
  (b* (((mv ?changedp ?new-x)
        (vl-gateinstlist-optimize x ss)))
    (booleanp changedp))
  :rule-classes :type-prescription)

Theorem: vl-gateinstlist-p-of-vl-gateinstlist-optimize.new-x

(defthm vl-gateinstlist-p-of-vl-gateinstlist-optimize.new-x
  (b* (((mv ?changedp ?new-x)
        (vl-gateinstlist-optimize x ss)))
    (vl-gateinstlist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-gateinstlist-optimize-mvtypes-1

(defthm vl-gateinstlist-optimize-mvtypes-1
  (true-listp (mv-nth 1 (vl-gateinstlist-optimize x ss)))
  :rule-classes :type-prescription)

Theorem: vl-gateinstlist-optimize-of-vl-gateinstlist-fix-x

(defthm vl-gateinstlist-optimize-of-vl-gateinstlist-fix-x
  (equal (vl-gateinstlist-optimize (vl-gateinstlist-fix x)
                                   ss)
         (vl-gateinstlist-optimize x ss)))

Theorem: vl-gateinstlist-optimize-vl-gateinstlist-equiv-congruence-on-x

(defthm
     vl-gateinstlist-optimize-vl-gateinstlist-equiv-congruence-on-x
  (implies (vl-gateinstlist-equiv x x-equiv)
           (equal (vl-gateinstlist-optimize x ss)
                  (vl-gateinstlist-optimize x-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-gateinstlist-optimize-of-vl-scopestack-fix-ss

(defthm vl-gateinstlist-optimize-of-vl-scopestack-fix-ss
  (equal (vl-gateinstlist-optimize x (vl-scopestack-fix ss))
         (vl-gateinstlist-optimize x ss)))

Theorem: vl-gateinstlist-optimize-vl-scopestack-equiv-congruence-on-ss

(defthm
      vl-gateinstlist-optimize-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-gateinstlist-optimize x ss)
                  (vl-gateinstlist-optimize x ss-equiv)))
  :rule-classes :congruence)