/***
* This code is a part of EvoApproxLib library (ehw.fit.vutbr.cz/approxlib) distributed under The MIT License.
* When used, please cite the following article(s): V. Mrazek, Z. Vasicek, L. Sekanina, H. Jiang and J. Han, "Scalable Construction of Approximate Multipliers With Formally Guaranteed Worst Case Error" in IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 26, no. 11, pp. 2572-2576, Nov. 2018. doi: 10.1109/TVLSI.2018.2856362 
* This file contains a circuit from a sub-set of pareto optimal circuits with respect to the pwr and ep parameters
***/
// MAE% = 0.018 %
// MAE = 3071 
// WCE% = 0.073 %
// WCE = 12285 
// WCRE% = 100.00 %
// EP% = 74.98 %
// MRE% = 0.32 %
// MSE = 19566.251e3 
// PDK45_PWR = 0.906 mW
// PDK45_AREA = 1344.1 um2
// PDK45_DELAY = 2.08 ns


module mul12u_2D0 ( A, B, O );
  input [11:0] A;
  input [11:0] B;
  output [23:0] O;

  wire C_10_0,C_10_1,C_10_10,C_10_2,C_10_3,C_10_4,C_10_5,C_10_6,C_10_7,C_10_8,C_10_9,C_11_0,C_11_1,C_11_10,C_11_2,C_11_3,C_11_4,C_11_5,C_11_6,C_11_7,C_11_8,C_11_9,C_12_0,C_12_1,C_12_10,C_12_2,C_12_3,C_12_4,C_12_5,C_12_6,C_12_7,C_12_8,C_12_9,C_3_0,C_3_1,C_3_10,C_3_2,C_3_3,C_3_4,C_3_5,C_3_6,C_3_7,C_3_8,C_3_9,C_4_0,C_4_1,C_4_10,C_4_2,C_4_3,C_4_4,C_4_5,C_4_6,C_4_7,C_4_8,C_4_9,C_5_0,C_5_1,C_5_10,C_5_2,C_5_3,C_5_4,C_5_5,C_5_6,C_5_7,C_5_8,C_5_9,C_6_0,C_6_1,C_6_10,C_6_2,C_6_3,C_6_4,C_6_5,C_6_6,C_6_7,C_6_8,C_6_9,C_7_0,C_7_1,C_7_10,C_7_2,C_7_3,C_7_4,C_7_5,C_7_6,C_7_7,C_7_8,C_7_9,C_8_0,C_8_1,C_8_10,C_8_2,C_8_3,C_8_4,C_8_5,C_8_6,C_8_7,C_8_8,C_8_9,C_9_0,C_9_1,C_9_10,C_9_2,C_9_3,C_9_4,C_9_5,C_9_6,C_9_7,C_9_8,C_9_9,S_10_0,S_10_1,S_10_10,S_10_11,S_10_2,S_10_3,S_10_4,S_10_5,S_10_6,S_10_7,S_10_8,S_10_9,S_11_0,S_11_1,S_11_10,S_11_11,S_11_2,S_11_3,S_11_4,S_11_5,S_11_6,S_11_7,S_11_8,S_11_9,S_12_0,S_12_1,S_12_10,S_12_11,S_12_2,S_12_3,S_12_4,S_12_5,S_12_6,S_12_7,S_12_8,S_12_9,S_2_0,S_2_1,S_2_10,S_2_11,S_2_2,S_2_3,S_2_4,S_2_5,S_2_6,S_2_7,S_2_8,S_2_9,S_3_0,S_3_1,S_3_10,S_3_11,S_3_2,S_3_3,S_3_4,S_3_5,S_3_6,S_3_7,S_3_8,S_3_9,S_4_0,S_4_1,S_4_10,S_4_11,S_4_2,S_4_3,S_4_4,S_4_5,S_4_6,S_4_7,S_4_8,S_4_9,S_5_0,S_5_1,S_5_10,S_5_11,S_5_2,S_5_3,S_5_4,S_5_5,S_5_6,S_5_7,S_5_8,S_5_9,S_6_0,S_6_1,S_6_10,S_6_11,S_6_2,S_6_3,S_6_4,S_6_5,S_6_6,S_6_7,S_6_8,S_6_9,S_7_0,S_7_1,S_7_10,S_7_11,S_7_2,S_7_3,S_7_4,S_7_5,S_7_6,S_7_7,S_7_8,S_7_9,S_8_0,S_8_1,S_8_10,S_8_11,S_8_2,S_8_3,S_8_4,S_8_5,S_8_6,S_8_7,S_8_8,S_8_9,S_9_0,S_9_1,S_9_10,S_9_11,S_9_2,S_9_3,S_9_4,S_9_5,S_9_6,S_9_7,S_9_8,S_9_9;

  assign S_2_0 = (A[2] & B[0]);
  assign S_2_1 = (A[2] & B[1]);
  assign S_2_2 = (A[2] & B[2]);
  assign S_2_3 = (A[2] & B[3]);
  assign S_2_4 = (A[2] & B[4]);
  assign S_2_5 = (A[2] & B[5]);
  assign S_2_6 = (A[2] & B[6]);
  assign S_2_7 = (A[2] & B[7]);
  assign S_2_8 = (A[2] & B[8]);
  assign S_2_9 = (A[2] & B[9]);
  assign S_2_10 = (A[2] & B[10]);
  assign S_2_11 = (A[2] & B[11]);
  PDKGENHAX1 U25549 (.A(S_2_1), .B((A[3] & B[0])), .YS(S_3_0), .YC(C_3_0));
  PDKGENHAX1 U25550 (.A(S_2_2), .B((A[3] & B[1])), .YS(S_3_1), .YC(C_3_1));
  PDKGENHAX1 U25551 (.A(S_2_3), .B((A[3] & B[2])), .YS(S_3_2), .YC(C_3_2));
  PDKGENHAX1 U25552 (.A(S_2_4), .B((A[3] & B[3])), .YS(S_3_3), .YC(C_3_3));
  PDKGENHAX1 U25553 (.A(S_2_5), .B((A[3] & B[4])), .YS(S_3_4), .YC(C_3_4));
  PDKGENHAX1 U25554 (.A(S_2_6), .B((A[3] & B[5])), .YS(S_3_5), .YC(C_3_5));
  PDKGENHAX1 U25555 (.A(S_2_7), .B((A[3] & B[6])), .YS(S_3_6), .YC(C_3_6));
  PDKGENHAX1 U25556 (.A(S_2_8), .B((A[3] & B[7])), .YS(S_3_7), .YC(C_3_7));
  PDKGENHAX1 U25557 (.A(S_2_9), .B((A[3] & B[8])), .YS(S_3_8), .YC(C_3_8));
  PDKGENHAX1 U25558 (.A(S_2_10), .B((A[3] & B[9])), .YS(S_3_9), .YC(C_3_9));
  PDKGENHAX1 U25559 (.A(S_2_11), .B((A[3] & B[10])), .YS(S_3_10), .YC(C_3_10));
  assign S_3_11 = (A[3] & B[11]);
  PDKGENFAX1 U25561 (.A(S_3_1), .B(C_3_0), .C((A[4] & B[0])), .YS(S_4_0), .YC(C_4_0));
  PDKGENFAX1 U25562 (.A(S_3_2), .B(C_3_1), .C((A[4] & B[1])), .YS(S_4_1), .YC(C_4_1));
  PDKGENFAX1 U25563 (.A(S_3_3), .B(C_3_2), .C((A[4] & B[2])), .YS(S_4_2), .YC(C_4_2));
  PDKGENFAX1 U25564 (.A(S_3_4), .B(C_3_3), .C((A[4] & B[3])), .YS(S_4_3), .YC(C_4_3));
  PDKGENFAX1 U25565 (.A(S_3_5), .B(C_3_4), .C((A[4] & B[4])), .YS(S_4_4), .YC(C_4_4));
  PDKGENFAX1 U25566 (.A(S_3_6), .B(C_3_5), .C((A[4] & B[5])), .YS(S_4_5), .YC(C_4_5));
  PDKGENFAX1 U25567 (.A(S_3_7), .B(C_3_6), .C((A[4] & B[6])), .YS(S_4_6), .YC(C_4_6));
  PDKGENFAX1 U25568 (.A(S_3_8), .B(C_3_7), .C((A[4] & B[7])), .YS(S_4_7), .YC(C_4_7));
  PDKGENFAX1 U25569 (.A(S_3_9), .B(C_3_8), .C((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
  PDKGENFAX1 U25570 (.A(S_3_10), .B(C_3_9), .C((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
  PDKGENFAX1 U25571 (.A(S_3_11), .B(C_3_10), .C((A[4] & B[10])), .YS(S_4_10), .YC(C_4_10));
  assign S_4_11 = (A[4] & B[11]);
  PDKGENFAX1 U25573 (.A(S_4_1), .B(C_4_0), .C((A[5] & B[0])), .YS(S_5_0), .YC(C_5_0));
  PDKGENFAX1 U25574 (.A(S_4_2), .B(C_4_1), .C((A[5] & B[1])), .YS(S_5_1), .YC(C_5_1));
  PDKGENFAX1 U25575 (.A(S_4_3), .B(C_4_2), .C((A[5] & B[2])), .YS(S_5_2), .YC(C_5_2));
  PDKGENFAX1 U25576 (.A(S_4_4), .B(C_4_3), .C((A[5] & B[3])), .YS(S_5_3), .YC(C_5_3));
  PDKGENFAX1 U25577 (.A(S_4_5), .B(C_4_4), .C((A[5] & B[4])), .YS(S_5_4), .YC(C_5_4));
  PDKGENFAX1 U25578 (.A(S_4_6), .B(C_4_5), .C((A[5] & B[5])), .YS(S_5_5), .YC(C_5_5));
  PDKGENFAX1 U25579 (.A(S_4_7), .B(C_4_6), .C((A[5] & B[6])), .YS(S_5_6), .YC(C_5_6));
  PDKGENFAX1 U25580 (.A(S_4_8), .B(C_4_7), .C((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
  PDKGENFAX1 U25581 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
  PDKGENFAX1 U25582 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
  PDKGENFAX1 U25583 (.A(S_4_11), .B(C_4_10), .C((A[5] & B[10])), .YS(S_5_10), .YC(C_5_10));
  assign S_5_11 = (A[5] & B[11]);
  PDKGENFAX1 U25585 (.A(S_5_1), .B(C_5_0), .C((A[6] & B[0])), .YS(S_6_0), .YC(C_6_0));
  PDKGENFAX1 U25586 (.A(S_5_2), .B(C_5_1), .C((A[6] & B[1])), .YS(S_6_1), .YC(C_6_1));
  PDKGENFAX1 U25587 (.A(S_5_3), .B(C_5_2), .C((A[6] & B[2])), .YS(S_6_2), .YC(C_6_2));
  PDKGENFAX1 U25588 (.A(S_5_4), .B(C_5_3), .C((A[6] & B[3])), .YS(S_6_3), .YC(C_6_3));
  PDKGENFAX1 U25589 (.A(S_5_5), .B(C_5_4), .C((A[6] & B[4])), .YS(S_6_4), .YC(C_6_4));
  PDKGENFAX1 U25590 (.A(S_5_6), .B(C_5_5), .C((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
  PDKGENFAX1 U25591 (.A(S_5_7), .B(C_5_6), .C((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
  PDKGENFAX1 U25592 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
  PDKGENFAX1 U25593 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
  PDKGENFAX1 U25594 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
  PDKGENFAX1 U25595 (.A(S_5_11), .B(C_5_10), .C((A[6] & B[10])), .YS(S_6_10), .YC(C_6_10));
  assign S_6_11 = (A[6] & B[11]);
  PDKGENFAX1 U25597 (.A(S_6_1), .B(C_6_0), .C((A[7] & B[0])), .YS(S_7_0), .YC(C_7_0));
  PDKGENFAX1 U25598 (.A(S_6_2), .B(C_6_1), .C((A[7] & B[1])), .YS(S_7_1), .YC(C_7_1));
  PDKGENFAX1 U25599 (.A(S_6_3), .B(C_6_2), .C((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
  PDKGENFAX1 U25600 (.A(S_6_4), .B(C_6_3), .C((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
  PDKGENFAX1 U25601 (.A(S_6_5), .B(C_6_4), .C((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
  PDKGENFAX1 U25602 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
  PDKGENFAX1 U25603 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
  PDKGENFAX1 U25604 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
  PDKGENFAX1 U25605 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
  PDKGENFAX1 U25606 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
  PDKGENFAX1 U25607 (.A(S_6_11), .B(C_6_10), .C((A[7] & B[10])), .YS(S_7_10), .YC(C_7_10));
  assign S_7_11 = (A[7] & B[11]);
  PDKGENFAX1 U25609 (.A(S_7_1), .B(C_7_0), .C((A[8] & B[0])), .YS(S_8_0), .YC(C_8_0));
  PDKGENFAX1 U25610 (.A(S_7_2), .B(C_7_1), .C((A[8] & B[1])), .YS(S_8_1), .YC(C_8_1));
  PDKGENFAX1 U25611 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
  PDKGENFAX1 U25612 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
  PDKGENFAX1 U25613 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
  PDKGENFAX1 U25614 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
  PDKGENFAX1 U25615 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
  PDKGENFAX1 U25616 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
  PDKGENFAX1 U25617 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
  PDKGENFAX1 U25618 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
  PDKGENFAX1 U25619 (.A(S_7_11), .B(C_7_10), .C((A[8] & B[10])), .YS(S_8_10), .YC(C_8_10));
  assign S_8_11 = (A[8] & B[11]);
  PDKGENFAX1 U25621 (.A(S_8_1), .B(C_8_0), .C((A[9] & B[0])), .YS(S_9_0), .YC(C_9_0));
  PDKGENFAX1 U25622 (.A(S_8_2), .B(C_8_1), .C((A[9] & B[1])), .YS(S_9_1), .YC(C_9_1));
  PDKGENFAX1 U25623 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
  PDKGENFAX1 U25624 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
  PDKGENFAX1 U25625 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
  PDKGENFAX1 U25626 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
  PDKGENFAX1 U25627 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
  PDKGENFAX1 U25628 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
  PDKGENFAX1 U25629 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
  PDKGENFAX1 U25630 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
  PDKGENFAX1 U25631 (.A(S_8_11), .B(C_8_10), .C((A[9] & B[10])), .YS(S_9_10), .YC(C_9_10));
  assign S_9_11 = (A[9] & B[11]);
  PDKGENFAX1 U25633 (.A(S_9_1), .B(C_9_0), .C((A[10] & B[0])), .YS(S_10_0), .YC(C_10_0));
  PDKGENFAX1 U25634 (.A(S_9_2), .B(C_9_1), .C((A[10] & B[1])), .YS(S_10_1), .YC(C_10_1));
  PDKGENFAX1 U25635 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
  PDKGENFAX1 U25636 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
  PDKGENFAX1 U25637 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
  PDKGENFAX1 U25638 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
  PDKGENFAX1 U25639 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
  PDKGENFAX1 U25640 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
  PDKGENFAX1 U25641 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
  PDKGENFAX1 U25642 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
  PDKGENFAX1 U25643 (.A(S_9_11), .B(C_9_10), .C((A[10] & B[10])), .YS(S_10_10), .YC(C_10_10));
  assign S_10_11 = (A[10] & B[11]);
  PDKGENFAX1 U25645 (.A(S_10_1), .B(C_10_0), .C((A[11] & B[0])), .YS(S_11_0), .YC(C_11_0));
  PDKGENFAX1 U25646 (.A(S_10_2), .B(C_10_1), .C((A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
  PDKGENFAX1 U25647 (.A(S_10_3), .B(C_10_2), .C((A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
  PDKGENFAX1 U25648 (.A(S_10_4), .B(C_10_3), .C((A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
  PDKGENFAX1 U25649 (.A(S_10_5), .B(C_10_4), .C((A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
  PDKGENFAX1 U25650 (.A(S_10_6), .B(C_10_5), .C((A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
  PDKGENFAX1 U25651 (.A(S_10_7), .B(C_10_6), .C((A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
  PDKGENFAX1 U25652 (.A(S_10_8), .B(C_10_7), .C((A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
  PDKGENFAX1 U25653 (.A(S_10_9), .B(C_10_8), .C((A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
  PDKGENFAX1 U25654 (.A(S_10_10), .B(C_10_9), .C((A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
  PDKGENFAX1 U25655 (.A(S_10_11), .B(C_10_10), .C((A[11] & B[10])), .YS(S_11_10), .YC(C_11_10));
  assign S_11_11 = (A[11] & B[11]);
  PDKGENHAX1 U25657 (.A(S_11_1), .B(C_11_0), .YS(S_12_0), .YC(C_12_0));
  PDKGENFAX1 U25658 (.A(S_11_2), .B(C_12_0), .C(C_11_1), .YS(S_12_1), .YC(C_12_1));
  PDKGENFAX1 U25659 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
  PDKGENFAX1 U25660 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
  PDKGENFAX1 U25661 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
  PDKGENFAX1 U25662 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
  PDKGENFAX1 U25663 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
  PDKGENFAX1 U25664 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
  PDKGENFAX1 U25665 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
  PDKGENFAX1 U25666 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
  PDKGENFAX1 U25667 (.A(S_11_11), .B(C_12_9), .C(C_11_10), .YS(S_12_10), .YC(C_12_10));
  assign S_12_11 = C_12_10;
  assign O = {S_12_11,S_12_10,S_12_9,S_12_8,S_12_7,S_12_6,S_12_5,S_12_4,S_12_3,S_12_2,S_12_1,S_12_0,S_11_0,S_10_0,S_9_0,S_8_0,S_7_0,S_6_0,S_5_0,S_4_0,S_3_0,S_2_0,1'b0,1'b0};

endmodule

/* mod */
module PDKGENHAX1( input A, input B, output YS, output YC );
    assign YS = A ^ B;
    assign YC = A & B;
endmodule
/* mod */
module PDKGENFAX1( input A, input B, input C, output YS, output YC );
    assign YS = (A ^ B) ^ C;
    assign YC = (A & B) | (B & C) | (A & C);
endmodule