14 stage collapsing ring
diff --git a/ip/randsack/sch/collapsering.sch b/ip/randsack/sch/collapsering.sch
index 3540cb0..089a971 100644
--- a/ip/randsack/sch/collapsering.sch
+++ b/ip/randsack/sch/collapsering.sch
@@ -4,284 +4,408 @@
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+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 2890 -1710 0 0 {name=x8}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 580 -1530 0 0 {name=x9}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 910 -1530 0 0 {name=x10}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1240 -1530 0 0 {name=x11}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1570 -1530 0 0 {name=x12}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 580 -1310 0 0 {name=x13}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 910 -1310 0 0 {name=x14}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1240 -1310 0 0 {name=x15}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1570 -1310 0 0 {name=x16}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1900 -1310 0 0 {name=x17}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 2230 -1310 0 0 {name=x18}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 2560 -1310 0 0 {name=x19}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 2890 -1310 0 0 {name=x20}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 580 -1140 0 0 {name=x22}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 910 -1140 0 0 {name=x23}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1240 -1140 0 0 {name=x24}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1570 -1140 0 0 {name=x25}
+C {sky130_stdcells/dfxbp_2.sym} 2250 -810 0 0 {name=x27 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/dfxbp_2.sym} 2250 -730 0 0 {name=x28 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/dfxbp_2.sym} 2490 -730 0 0 {name=x29 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/clkbuf_8.sym} 2040 -890 0 0 {name=x26 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/mux4_2.sym} 3050 -800 0 0 {name=x30 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/dfxbp_2.sym} 2250 -650 0 0 {name=x31 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/dfxbp_2.sym} 2490 -650 0 0 {name=x32 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/dfxbp_2.sym} 2730 -650 0 0 {name=x33 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {devices/ipin.sym} 2990 -700 0 0 {name=p3 lab=CLKMUX[0]}
+C {devices/ipin.sym} 2990 -670 0 0 {name=p6 lab=CLKMUX[1]}
+C {sky130_stdcells/mux2_2.sym} 1930 -890 0 0 {name=x34 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/clkbuf_2.sym} 1820 -910 0 0 {name=x36 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {sky130_stdcells/clkbuf_2.sym} 1730 -870 0 0 {name=x37 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {devices/ipin.sym} 1870 -830 0 0 {name=p7 lab=CLKMUX[2]}
+C {sky130_stdcells/clkbuf_2.sym} 160 -1690 0 0 {name=x38 VGND=VGND VNB=VNB VPB=VPB VPWR=VPWR prefix=sky130_fd_sc_hd__ }
+C {devices/lab_pin.sym} 1720 -1480 0 0 {name=l43 sig_type=std_logic lab=TRIMA[24]}
+C {devices/lab_pin.sym} 1720 -1460 0 0 {name=l45 sig_type=std_logic lab=TRIMA[25]}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1900 -1530 0 0 {name=x39}
+C {devices/lab_pin.sym} 2050 -1480 0 0 {name=l54 sig_type=std_logic lab=TRIMA[26]}
+C {devices/lab_pin.sym} 2050 -1460 0 0 {name=l55 sig_type=std_logic lab=TRIMA[27]}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 2230 -1530 0 0 {name=x40}
+C {devices/lab_pin.sym} 1720 -1090 0 0 {name=l56 sig_type=std_logic lab=TRIMB[24]}
+C {devices/lab_pin.sym} 1720 -1070 0 0 {name=l57 sig_type=std_logic lab=TRIMB[25]}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 1900 -1140 0 0 {name=x41}
+C {devices/lab_pin.sym} 2050 -1090 0 0 {name=l58 sig_type=std_logic lab=TRIMB[26]}
+C {devices/lab_pin.sym} 2050 -1070 0 0 {name=l59 sig_type=std_logic lab=TRIMB[27]}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/triminv.sym} 2230 -1140 0 0 {name=x42}
diff --git a/ip/randsack/sch/collapsering.sym b/ip/randsack/sch/collapsering.sym
index 7b04abe..b531984 100644
--- a/ip/randsack/sch/collapsering.sym
+++ b/ip/randsack/sch/collapsering.sym
@@ -1,26 +1,36 @@
-v {xschem version=3.0.0 file_version=1.2}
+v {xschem version=3.0.0 file_version=1.2 }
+G {}
 K {type=subcircuit
 format="@name @pinlist @symname"
 template="name=x1"
 }
-T {@symname} -72 -6 0 0 0.3 0.3 {}
-T {@name} 135 -52 0 0 0.2 0.2 {}
-L 4 -130 -40 130 -40 {}
-L 4 -130 40 130 40 {}
-L 4 -130 -40 -130 40 {}
-L 4 130 -40 130 40 {}
-B 5 -152.5 -32.5 -147.5 -27.5 {name=TRIMA[23:0] dir=in }
+V {}
+S {}
+E {}
+L 4 -130 -60 130 -60 {}
+L 4 -130 60 130 60 {}
+L 4 -130 -60 -130 60 {}
+L 4 130 -60 130 60 {}
+L 4 -150 -50 -130 -50 {}
 L 4 -150 -30 -130 -30 {}
-T {TRIMA[23:0]} -125 -34 0 0 0.2 0.2 {}
-B 5 -152.5 -12.5 -147.5 -7.5 {name=TRIMB[23:0] dir=in }
 L 4 -150 -10 -130 -10 {}
-T {TRIMB[23:0]} -125 -14 0 0 0.2 0.2 {}
-B 5 -152.5 7.5 -147.5 12.5 {name=START dir=in }
 L 4 -150 10 -130 10 {}
-T {START} -125 6 0 0 0.2 0.2 {}
-B 5 147.5 -32.5 152.5 -27.5 {name=CLKBUFOUT dir=out }
-L 4 130 -30 150 -30 {}
-T {CLKBUFOUT} 125 -34 0 1 0.2 0.2 {}
-B 5 -152.5 27.5 -147.5 32.5 {name=DIV2EN dir=in }
+L 4 130 -50 150 -50 {}
 L 4 -150 30 -130 30 {}
-T {DIV2EN} -125 26 0 0 0.2 0.2 {}
+L 4 -150 50 -130 50 {}
+B 5 -152.5 -52.5 -147.5 -47.5 {name=TRIMA[27:0] dir=in }
+B 5 -152.5 -32.5 -147.5 -27.5 {name=TRIMB[27:0] dir=in }
+B 5 -152.5 -12.5 -147.5 -7.5 {name=START dir=in }
+B 5 -152.5 7.5 -147.5 12.5 {name=CLKMUX[2] dir=in }
+B 5 147.5 -52.5 152.5 -47.5 {name=CLKBUFOUT dir=out }
+B 5 -152.5 47.5 -147.5 52.5 {name=CLKMUX[0] dir=in }
+B 5 -152.5 27.5 -147.5 32.5 {name=CLKMUX[1] dir=in }
+T {@symname} -72 -6 0 0 0.3 0.3 {}
+T {@name} 135 -72 0 0 0.2 0.2 {}
+T {TRIMA[27:0]} -125 -54 0 0 0.2 0.2 {}
+T {TRIMB[27:0]} -125 -34 0 0 0.2 0.2 {}
+T {START} -125 -14 0 0 0.2 0.2 {}
+T {CLKMUX[2]} -125 6 0 0 0.2 0.2 {}
+T {CLKBUFOUT} 125 -54 0 1 0.2 0.2 {}
+T {CLKMUX[0]} -125 46 0 0 0.2 0.2 {}
+T {CLKMUX[1]} -125 26 0 0 0.2 0.2 {}
diff --git a/ip/randsack/sch/collapsering_tb.sch b/ip/randsack/sch/collapsering_tb.sch
index cb35b87..cc351f4 100644
--- a/ip/randsack/sch/collapsering_tb.sch
+++ b/ip/randsack/sch/collapsering_tb.sch
@@ -18,29 +18,33 @@
 N 1510 -1090 1510 -1030 { lab=VPWR}
 N 1510 -1090 1540 -1090 { lab=VPWR}
 N 1840 -1150 1910 -1150 { lab=clkout}
-N 1400 -1150 1540 -1150 { lab=trima[23:0]}
-N 1400 -1130 1540 -1130 { lab=trimb[23:0]}
-N 1350 -1250 1370 -1250 { lab=VGND}
-N 1350 -1250 1350 -1230 { lab=VGND}
-N 1430 -1250 1540 -1250 { lab=trimb[23:0]}
-N 1350 -1320 1370 -1320 { lab=VGND}
-N 1350 -1320 1350 -1300 { lab=VGND}
-N 1430 -1320 1540 -1320 { lab=trima[23:2]}
+N 1400 -1150 1540 -1150 { lab=trima[27:0]}
+N 1400 -1130 1540 -1130 { lab=trimb[27:0]}
+N 1350 -1250 1370 -1250 { lab=VPWR}
+N 1430 -1250 1540 -1250 { lab=trimb[27:0]}
+N 1350 -1320 1370 -1320 { lab=VPWR}
+N 1350 -1320 1350 -1300 { lab=VPWR}
+N 1430 -1320 1540 -1320 { lab=trima[27:2]}
 N 1430 -1390 1540 -1390 { lab=trima[1:0]}
-N 1350 -1390 1370 -1390 { lab=VPWR}
-N 1350 -1410 1350 -1390 { lab=VPWR}
+N 1350 -1390 1370 -1390 { lab=VGND}
+N 1530 -1070 1540 -1070 { lab=VGND}
+N 1530 -1070 1530 -1030 { lab=VGND}
+N 1530 -1050 1540 -1050 { lab=VGND}
+N 1310 -1300 1350 -1300 { lab=VPWR}
+N 1310 -1310 1310 -1300 { lab=VPWR}
+N 1350 -1300 1350 -1250 { lab=VPWR}
+N 1350 -1390 1350 -1370 { lab=VGND}
 C {devices/vsource.sym} 1130 -1030 0 0 {name=V1 value="PULSE(0 1.8 100ns 1ns 1ns 9000ns 9000ns)"}
 C {devices/code_shown.sym} 120 -360 0 0 {name=SPICE only_toplevel=false value="
 .lib /home/harrison/workspace/sky130/sky130A/libs.tech/ngspice/sky130.lib.spice tt
 .include /home/harrison/workspace/sky130/sky130A/libs.ref/sky130_fd_sc_hd/spice/sky130_fd_sc_hd.spice
 
 .option TEMP=27
-.option RELTOL=1.0E-1
+* .option RELTOL=1.0E-1
 
 .control
 save all
 tran 0.1n 10u
-set appendwrite
 write collapsering_tb.out
 .endc
 "
@@ -51,20 +55,20 @@
 C {devices/gnd.sym} 1130 -1230 0 0 {name=l21 lab=GND}
 C {devices/gnd.sym} 1130 -1310 0 0 {name=l20 lab=VGND}
 C {devices/title-2.sym} 0 -40 0 0 {name=l26 author="Harrison Pham" rev=1.0}
-C {/home/harrison/workspace/randsack/ip/randsack/sch/collapsering.sym} 1690 -1120 0 0 {name=x1}
 C {devices/vdd.sym} 1480 -1050 0 0 {name=l1 lab=VPWR}
 C {devices/lab_wire.sym} 1910 -1150 0 0 {name=l3 sig_type=std_logic lab=clkout}
 C {devices/lab_wire.sym} 1500 -1110 0 0 {name=l4 sig_type=std_logic lab=start}
-C {devices/lab_wire.sym} 1500 -1150 0 0 {name=l5 sig_type=std_logic lab=trima[23:0]}
-C {devices/lab_wire.sym} 1500 -1130 0 0 {name=l6 sig_type=std_logic lab=trimb[23:0]}
-C {devices/gnd.sym} 1350 -1230 0 0 {name=l7 lab=VGND}
-C {devices/lab_wire.sym} 1530 -1250 0 0 {name=l8 sig_type=std_logic lab=trimb[23:0]}
-C {devices/gnd.sym} 1350 -1300 0 0 {name=l9 lab=VGND}
-C {devices/lab_wire.sym} 1530 -1320 0 0 {name=l12 sig_type=std_logic lab=trima[23:2]}
+C {devices/lab_wire.sym} 1500 -1150 0 0 {name=l5 sig_type=std_logic lab=trima[27:0]}
+C {devices/lab_wire.sym} 1500 -1130 0 0 {name=l6 sig_type=std_logic lab=trimb[27:0]}
+C {devices/lab_wire.sym} 1530 -1250 0 0 {name=l8 sig_type=std_logic lab=trimb[27:0]}
+C {devices/lab_wire.sym} 1530 -1320 0 0 {name=l12 sig_type=std_logic lab=trima[27:2]}
 C {devices/lab_wire.sym} 1530 -1390 0 0 {name=l14 sig_type=std_logic lab=trima[1:0]}
-C {devices/vdd.sym} 1350 -1410 0 0 {name=l13 lab=VPWR}
 C {devices/vsource.sym} 1170 -1250 1 0 {name=V6 value=0}
 C {devices/connect.sym} 1400 -1390 1 0 {name=R1[1:0] m=1}
-C {devices/connect.sym} 1400 -1320 1 0 {name=R2[23:2] m=1}
-C {devices/connect.sym} 1400 -1250 1 0 {name=R3[23:0] m=1}
+C {devices/connect.sym} 1400 -1320 1 0 {name=R2[27:2] m=1}
+C {devices/connect.sym} 1400 -1250 1 0 {name=R3[27:0] m=1}
 C {devices/gnd.sym} 1130 -970 0 0 {name=l2 lab=VGND}
+C {devices/gnd.sym} 1530 -1030 0 0 {name=l15 lab=VGND}
+C {devices/gnd.sym} 1350 -1370 0 0 {name=l7 lab=VGND}
+C {devices/vdd.sym} 1310 -1310 0 0 {name=l9 lab=VPWR}
+C {/home/harrison/workspace/randsack/ip/randsack/sch/collapsering.sym} 1690 -1100 0 0 {name=x1}