(ZCASH::LEN-OF-NTHCDR-MULTIPLE-OF-3
 (25 5 (:DEFINITION LEN))
 (18 10 (:REWRITE DEFAULT-+-2))
 (11 10 (:REWRITE DEFAULT-+-1))
 (10 5 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-*-1))
 (4 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2 2 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 2))
 (2 2 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 1))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-LOOP-BOUND
 (70 1 (:DEFINITION ZCASH::PEDERSEN-SEGMENT-SCALAR-LOOP-BOUND))
 (60 28 (:REWRITE DEFAULT-CDR))
 (33 23 (:REWRITE DEFAULT-+-2))
 (30 30 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (30 30 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (30 30 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (27 27 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (27 27 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (27 27 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 2))
 (27 27 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 1))
 (26 23 (:REWRITE DEFAULT-+-1))
 (23 23 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (16 8 (:REWRITE DEFAULT-*-2))
 (9 9 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (9 9 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (9 9 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (9 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (8 8 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (8 8 (:REWRITE DEFAULT-*-1))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (6 4 (:REWRITE DEFAULT-<-1))
 (6 3 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (6 3 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (5 4 (:REWRITE DEFAULT-<-2))
 (5 1 (:REWRITE BIT-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-=-0))
 (3 3 (:REWRITE DEFAULT-EXPT-2))
 (3 3 (:REWRITE DEFAULT-EXPT-1))
 (3 3 (:REWRITE |(expt x (- n))|))
 (3 3 (:REWRITE |(expt 2^i n)|))
 (3 3 (:REWRITE |(expt 1/c n)|))
 (3 3 (:REWRITE |(expt (- x) n)|))
 (3 3 (:REWRITE |(equal (- x) 0)|))
 (3 3 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE |(< 0 (- x))|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1 1 (:REWRITE |(integerp (* c x))|))
 (1 1 (:REWRITE |(< d (+ c x))|))
 )
(ZCASH::NATP-OF-PEDERSEN-SEGMENT-SCALAR-LOOP-BOUND
 (50 18 (:REWRITE DEFAULT-CDR))
 (24 24 (:REWRITE REDUCE-INTEGERP-+))
 (24 24 (:REWRITE INTEGERP-MINUS-X))
 (24 24 (:META META-INTEGERP-CORRECT))
 (17 17 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (17 17 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (17 17 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 2))
 (17 17 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 1))
 (12 12 (:REWRITE SIMPLIFY-SUMS-<))
 (12 12 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (12 12 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE |(< (- x) (- y))|))
 (12 8 (:REWRITE DEFAULT-+-1))
 (9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (9 9 (:REWRITE |(< 0 (- x))|))
 (8 8 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (8 8 (:REWRITE NORMALIZE-ADDENDS))
 (8 8 (:REWRITE DEFAULT-+-2))
 (6 2 (:REWRITE DEFAULT-*-2))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (3 3 (:REWRITE |(< (- x) 0)|))
 (2 2 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-RATIONALP-BASE))
 (2 2 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE DEFAULT-EXPT-2))
 (1 1 (:REWRITE DEFAULT-EXPT-1))
 (1 1 (:REWRITE |(expt x (- n))|))
 (1 1 (:REWRITE |(expt 2^i n)|))
 (1 1 (:REWRITE |(expt 1/c n)|))
 (1 1 (:REWRITE |(expt (- x) n)|))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-BOUND)
(ZCASH::NATP-OF-PEDERSEN-SEGMENT-SCALAR-BOUND)
(ZCASH::ARITH-LEMMA1
 (146 32 (:REWRITE DEFAULT-*-2))
 (136 6 (:REWRITE *-PRESERVES->=-FOR-NONNEGATIVES))
 (133 133 (:TYPE-PRESCRIPTION |x < y  =>  0 < y-x|))
 (78 37 (:REWRITE DEFAULT-<-1))
 (75 37 (:REWRITE DEFAULT-<-2))
 (46 32 (:REWRITE DEFAULT-*-1))
 (41 41 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (36 9 (:LINEAR X*Y>1-POSITIVE))
 (28 2 (:REWRITE <-*-LEFT-CANCEL))
 (27 1 (:REWRITE <-*-/-RIGHT-COMMUTED))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (17 5 (:REWRITE RATIONALP-*))
 (16 16 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE DEFAULT-+-1))
 (14 1 (:REWRITE <-*-/-LEFT-COMMUTED))
 (8 8 (:REWRITE FOLD-CONSTS-IN-*))
 (7 7 (:REWRITE ZIP-OPEN))
 (6 6 (:REWRITE X*Y>1-POSITIVE-LEMMA))
 (6 6 (:REWRITE *-PRESERVES->-FOR-NONNEGATIVES-1))
 (4 4 (:TYPE-PRESCRIPTION |x < y  =>  0 < -x+y|))
 (4 4 (:REWRITE <-*-RIGHT-CANCEL))
 (2 2 (:REWRITE <-*-0))
 )
(ZCASH::ARITH-LEMMA2)
(ZCASH::ARITH-LEMMA3)
(ZCASH::PEDERSEN-SEGMENT-SCALAR-LOOP-UPPER-BOUND
 (392 14 (:DEFINITION EXPT))
 (294 7 (:DEFINITION TAKE))
 (255 174 (:REWRITE DEFAULT-+-2))
 (237 35 (:DEFINITION LEN))
 (224 14 (:REWRITE TAKE-OF-TOO-MANY))
 (222 174 (:REWRITE DEFAULT-+-1))
 (196 14 (:REWRITE TAKE-OF-LEN-FREE))
 (167 76 (:REWRITE DEFAULT-*-2))
 (91 76 (:REWRITE DEFAULT-*-1))
 (84 28 (:REWRITE FOLD-CONSTS-IN-+))
 (65 40 (:REWRITE DEFAULT-<-2))
 (54 54 (:REWRITE DEFAULT-CDR))
 (51 51 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (48 40 (:REWRITE DEFAULT-<-1))
 (42 14 (:REWRITE TAKE-WHEN-ATOM))
 (32 32 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (32 32 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (32 32 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 2))
 (32 32 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 1))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:REWRITE ZIP-OPEN))
 (7 7 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE BIT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-LOOP-LOWER-BOUND
 (1512 54 (:DEFINITION EXPT))
 (1134 27 (:DEFINITION TAKE))
 (973 661 (:REWRITE DEFAULT-+-2))
 (869 661 (:REWRITE DEFAULT-+-1))
 (868 128 (:DEFINITION LEN))
 (864 54 (:REWRITE TAKE-OF-TOO-MANY))
 (756 54 (:REWRITE TAKE-OF-LEN-FREE))
 (652 304 (:REWRITE DEFAULT-*-2))
 (372 304 (:REWRITE DEFAULT-*-1))
 (324 108 (:REWRITE FOLD-CONSTS-IN-+))
 (182 120 (:REWRITE DEFAULT-<-2))
 (179 179 (:REWRITE DEFAULT-CDR))
 (162 54 (:REWRITE TAKE-WHEN-ATOM))
 (131 120 (:REWRITE DEFAULT-<-1))
 (94 94 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (94 94 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (94 94 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 2))
 (94 94 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 1))
 (54 54 (:TYPE-PRESCRIPTION NFIX))
 (54 54 (:REWRITE ZIP-OPEN))
 (51 51 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (27 27 (:REWRITE DEFAULT-CAR))
 (20 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:REWRITE BIT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-UPPER-BOUND
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-LOWER-BOUND
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(ZCASH::OUTSIDEP)
(ZCASH::OUTSIDEP-LEMMA1
 (10 10 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (10 10 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (10 10 (:REWRITE |(< (- x) (- y))|))
 (7 7 (:REWRITE SIMPLIFY-SUMS-<))
 (7 7 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE DEFAULT-*-1))
 (5 5 (:REWRITE |(* c (* d x))|))
 (4 4 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (4 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:REWRITE DEFAULT-UNARY-/))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (2 2 (:REWRITE |(* a (/ a) b)|))
 (2 2 (:REWRITE |(* 1 x)|))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE |(< (- x) 0)|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(ZCASH::OUTSIDEP-LEMMA2
 (208 24 (:REWRITE ACL2-NUMBERP-X))
 (116 29 (:REWRITE RATIONALP-X))
 (91 59 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (73 73 (:REWRITE THE-FLOOR-BELOW))
 (73 73 (:REWRITE THE-FLOOR-ABOVE))
 (60 60 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (60 60 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (60 60 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (60 60 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (60 60 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (60 60 (:REWRITE |(< c (- x))|))
 (60 60 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (60 60 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (60 60 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (60 60 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (60 60 (:REWRITE |(< (/ x) (/ y))|))
 (60 60 (:REWRITE |(< (- x) (- y))|))
 (59 59 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (59 59 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (59 59 (:REWRITE INTEGERP-<-CONSTANT))
 (59 59 (:REWRITE CONSTANT-<-INTEGERP))
 (57 57 (:REWRITE SIMPLIFY-SUMS-<))
 (45 45 (:REWRITE REDUCE-INTEGERP-+))
 (45 45 (:REWRITE INTEGERP-MINUS-X))
 (45 45 (:META META-INTEGERP-CORRECT))
 (32 32 (:REWRITE DEFAULT-TIMES-1))
 (32 32 (:REWRITE DEFAULT-PLUS-2))
 (29 29 (:REWRITE REDUCE-RATIONALP-+))
 (29 29 (:REWRITE REDUCE-RATIONALP-*))
 (29 29 (:REWRITE RATIONALP-MINUS-X))
 (29 29 (:META META-RATIONALP-CORRECT))
 (24 24 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (19 19 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (19 19 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (19 19 (:REWRITE |(< 0 (/ x))|))
 (18 18 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (16 16 (:REWRITE ARITH-NORMALIZE-FACTORS-SCATTER-EXPONENTS))
 (14 3 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (10 10 (:REWRITE |arith (* c (* d x))|))
 (8 8 (:REWRITE |(< y (+ (- c) x))|))
 (8 8 (:REWRITE |(< x (+ c/d y))|))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE ARITH-NORMALIZE-ADDENDS))
 (6 6 (:REWRITE |(< (+ c/d x) y)|))
 (6 6 (:REWRITE |(< (+ (- c) x) y)|))
 (6 6 (:REWRITE |(+ c (+ d x))|))
 (3 3 (:REWRITE |arith (- (* c x))|))
 (3 3 (:REWRITE |(< (/ x) 0)|))
 (3 3 (:REWRITE |(< (* x y) 0)|))
 (3 3 (:REWRITE |(- (* c x))|))
 (2 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (2 2 (:REWRITE |arith (+ c (+ d x))|))
 (2 2 (:REWRITE |arith (* (- x) y)|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(ZCASH::OUTSIDEP-LEMMA3
 (96 6 (:DEFINITION EXPT))
 (76 22 (:REWRITE DEFAULT-*-2))
 (25 19 (:REWRITE DEFAULT-+-2))
 (24 6 (:REWRITE 0-<-*))
 (22 22 (:REWRITE DEFAULT-*-1))
 (21 19 (:REWRITE DEFAULT-+-1))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (6 6 (:TYPE-PRESCRIPTION |x < y  =>  0 < -x+y|))
 (6 6 (:DEFINITION IFF))
 (4 1 (:REWRITE NATP-POSP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE POSP-WHEN-MEMBER-EQUAL-OF-ZP-LISTP))
 (1 1 (:REWRITE POSP-RW))
 (1 1 (:REWRITE NATP-RW))
 )
(ZCASH::POSP-OF-BOUND
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (1 1 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (1 1 (:REWRITE NORMALIZE-ADDENDS))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE DEFAULT-EXPT-2))
 (1 1 (:REWRITE DEFAULT-EXPT-1))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE DEFAULT-*-2))
 (1 1 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE |(expt x (- n))|))
 (1 1 (:REWRITE |(expt 2^i n)|))
 (1 1 (:REWRITE |(expt 1/c n)|))
 (1 1 (:REWRITE |(expt (- x) n)|))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(ZCASH::OUTSIDEP-OF-PEDERSEN-SEGMENT-SCALAR-LOOP
 (836 31 (:DEFINITION EXPT))
 (566 37 (:REWRITE TAKE-OF-TOO-MANY))
 (500 354 (:REWRITE DEFAULT-+-2))
 (492 37 (:REWRITE TAKE-OF-LEN-FREE))
 (444 308 (:REWRITE DEFAULT-CDR))
 (382 354 (:REWRITE DEFAULT-+-1))
 (330 153 (:REWRITE DEFAULT-*-2))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (211 211 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 2))
 (211 211 (:REWRITE ISAR::CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-FACT-INFO-ALISTP . 1))
 (189 153 (:REWRITE DEFAULT-*-1))
 (163 75 (:REWRITE DEFAULT-CAR))
 (135 98 (:REWRITE DEFAULT-<-2))
 (133 37 (:REWRITE TAKE-WHEN-ATOM))
 (116 48 (:REWRITE BITP-WHEN-MEMBER-EQUAL-OF-BIT-LISTP))
 (98 98 (:REWRITE DEFAULT-<-1))
 (60 60 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (60 60 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 (37 37 (:TYPE-PRESCRIPTION NFIX))
 (29 29 (:REWRITE ZIP-OPEN))
 (20 12 (:TYPE-PRESCRIPTION ZCASH::INTEGERP-OF-PEDERSEN-SEGMENT-SCALAR-LOOP))
 (17 17 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (17 17 (:REWRITE SUBSETP-MEMBER . 2))
 (17 17 (:REWRITE SUBSETP-MEMBER . 1))
 (17 17 (:DEFINITION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-LOOP-OUTSIDE-INTERVAL
 (28 1 (:DEFINITION EXPT))
 (24 24 (:TYPE-PRESCRIPTION POSP))
 (13 7 (:REWRITE DEFAULT-*-2))
 (12 2 (:REWRITE COMMUTATIVITY-OF-+))
 (11 9 (:REWRITE DEFAULT-+-2))
 (10 2 (:DEFINITION LEN))
 (9 9 (:REWRITE DEFAULT-+-1))
 (9 7 (:REWRITE DEFAULT-*-1))
 (7 4 (:REWRITE DEFAULT-<-2))
 (7 4 (:REWRITE DEFAULT-<-1))
 (6 2 (:REWRITE FOLD-CONSTS-IN-+))
 (3 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE ZIP-OPEN))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE BIT-LISTP-WHEN-NOT-CONSP))
 )
(ZCASH::PEDERSEN-SEGMENT-SCALAR-NOT-ZERO
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
