make: Entering directory `/home/peko/autobuild/instance-1/buildroot'
/usr/bin/make -j1 O=/home/peko/autobuild/instance-1/output HOSTCC="/usr/bin/gcc" HOSTCXX="/usr/bin/g++" silentoldconfig
  GEN     /home/peko/autobuild/instance-1/output/Makefile
lzip-1.19.tar.gz: OK (sha256: ffadc4f56be1bc0d3ae155ec4527bd003133bdc703a753b2cc683f610e646ba9)
>>> host-lzip 1.19 Extracting
gzip -d -c /home/peko/autobuild/instance-1/dl/lzip-1.19.tar.gz | tar --strip-components=1 -C /home/peko/autobuild/instance-1/output/build/host-lzip-1.19   -xf -
>>> host-lzip 1.19 Patching
>>> host-lzip 1.19 Configuring
(cd /home/peko/autobuild/instance-1/output/build/host-lzip-1.19; PATH="/home/peko/autobuild/instance-1/output/host/bin:/home/peko/autobuild/instance-1/output/host/sbin:/usr/local/bin:/usr/bin:/usr/local/sbin:/usr/sbin:/home/peko/.local/bin:/home/peko/bin" PKG_CONFIG="/home/peko/autobuild/instance-1/output/host/bin/pkg-config" PKG_CONFIG_SYSROOT_DIR="/" PKG_CONFIG_ALLOW_SYSTEM_CFLAGS=1 PKG_CONFIG_ALLOW_SYSTEM_LIBS=1 PKG_CONFIG_LIBDIR="/home/peko/autobuild/instance-1/output/host/lib/pkgconfig:/home/peko/autobuild/instance-1/output/host/share/pkgconfig" ./configure --prefix=/home/peko/autobuild/instance-1/output/host PATH="/home/peko/autobuild/instance-1/output/host/bin:/home/peko/autobuild/instance-1/output/host/sbin:/usr/local/bin:/usr/bin:/usr/local/sbin:/usr/sbin:/home/peko/.local/bin:/home/peko/bin" PKG_CONFIG="/home/peko/autobuild/instance-1/output/host/bin/pkg-config" PKG_CONFIG_SYSROOT_DIR="/" PKG_CONFIG_ALLOW_SYSTEM_CFLAGS=1 PKG_CONFIG_ALLOW_SYSTEM_LIBS=1 PKG_CONFIG_LIBDIR="/home/peko/autobuild/instance-1/output/host/lib/pkgconfig:/home/peko/autobuild/instance-1/output/host/share/pkgconfig" AR="/usr/bin/ar" AS="/usr/bin/as" LD="/usr/bin/ld" NM="/usr/bin/nm" CC="/usr/bin/gcc" GCC="/usr/bin/gcc" CXX="/usr/bin/g++" CPP="/usr/bin/cpp" OBJCOPY="/usr/bin/objcopy" RANLIB="/usr/bin/ranlib" CPPFLAGS="-I/home/peko/autobuild/instance-1/output/host/include" CFLAGS="-O2 -I/home/peko/autobuild/instance-1/output/host/include" CXXFLAGS="-O2 -I/home/peko/autobuild/instance-1/output/host/include" LDFLAGS="-L/home/peko/autobuild/instance-1/output/host/lib -Wl,-rpath,/home/peko/autobuild/instance-1/output/host/lib" INTLTOOL_PERL=/usr/bin/perl )

creating config.status
creating Makefile
VPATH = .
prefix = /home/peko/autobuild/instance-1/output/host
exec_prefix = $(prefix)
bindir = $(exec_prefix)/bin
datarootdir = $(prefix)/share
infodir = $(datarootdir)/info
mandir = $(datarootdir)/man
CXX = /usr/bin/g++
CPPFLAGS = -I/home/peko/autobuild/instance-1/output/host/include
CXXFLAGS = -O2 -I/home/peko/autobuild/instance-1/output/host/include
LDFLAGS = -L/home/peko/autobuild/instance-1/output/host/lib -Wl,-rpath,/home/peko/autobuild/instance-1/output/host/lib
OK. Now you can run make.
>>> host-lzip 1.19 Building
PATH="/home/peko/autobuild/instance-1/output/host/bin:/home/peko/autobuild/instance-1/output/host/sbin:/usr/local/bin:/usr/bin:/usr/local/sbin:/usr/sbin:/home/peko/.local/bin:/home/peko/bin" PKG_CONFIG="/home/peko/autobuild/instance-1/output/host/bin/pkg-config" PKG_CONFIG_SYSROOT_DIR="/" PKG_CONFIG_ALLOW_SYSTEM_CFLAGS=1 PKG_CONFIG_ALLOW_SYSTEM_LIBS=1 PKG_CONFIG_LIBDIR="/home/peko/autobuild/instance-1/output/host/lib/pkgconfig:/home/peko/autobuild/instance-1/output/host/share/pkgconfig" /usr/bin/make -j16 -C /home/peko/autobuild/instance-1/output/build/host-lzip-1.19
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o arg_parser.o arg_parser.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o file_index.o file_index.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o list.o list.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o encoder_base.o encoder_base.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o encoder.o encoder.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o fast_encoder.o fast_encoder.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -c -o decoder.o decoder.cc
/usr/bin/g++ -I/home/peko/autobuild/instance-1/output/host/include -O2 -I/home/peko/autobuild/instance-1/output/host/include -DPROGVERSION=\"1.19\" -c -o main.o main.cc
/usr/bin/g++ -L/home/peko/autobuild/instance-1/output/host/lib -Wl,-rpath,/home/peko/autobuild/instance-1/output/host/lib -O2 -I/home/peko/autobuild/instance-1/output/host/include -o lzip arg_parser.o file_index.o list.o encoder_base.o encoder.o fast_encoder.o decoder.o main.o
>>> host-lzip 1.19 Installing to host directory
PATH="/home/peko/autobuild/instance-1/output/host/bin:/home/peko/autobuild/instance-1/output/host/sbin:/usr/local/bin:/usr/bin:/usr/local/sbin:/usr/sbin:/home/peko/.local/bin:/home/peko/bin" PKG_CONFIG="/home/peko/autobuild/instance-1/output/host/bin/pkg-config" PKG_CONFIG_SYSROOT_DIR="/" PKG_CONFIG_ALLOW_SYSTEM_CFLAGS=1 PKG_CONFIG_ALLOW_SYSTEM_LIBS=1 PKG_CONFIG_LIBDIR="/home/peko/autobuild/instance-1/output/host/lib/pkgconfig:/home/peko/autobuild/instance-1/output/host/share/pkgconfig" /usr/bin/make -j16 -C /home/peko/autobuild/instance-1/output/build/host-lzip-1.19 install
if [ ! -d "/home/peko/autobuild/instance-1/output/host/bin" ] ; then install -d -m 755 "/home/peko/autobuild/instance-1/output/host/bin" ; fi
if [ ! -d "/home/peko/autobuild/instance-1/output/host/share/info" ] ; then install -d -m 755 "/home/peko/autobuild/instance-1/output/host/share/info" ; fi
if [ ! -d "/home/peko/autobuild/instance-1/output/host/share/man/man1" ] ; then install -d -m 755 "/home/peko/autobuild/instance-1/output/host/share/man/man1" ; fi
install -m 755 ./lzip "/home/peko/autobuild/instance-1/output/host/bin/lzip"
rm -f "/home/peko/autobuild/instance-1/output/host/share/info/lzip.info"*
rm -f "/home/peko/autobuild/instance-1/output/host/share/man/man1/lzip.1"*
install -m 644 ./doc/lzip.info "/home/peko/autobuild/instance-1/output/host/share/info/lzip.info"
install -m 644 ./doc/lzip.1 "/home/peko/autobuild/instance-1/output/host/share/man/man1/lzip.1"
if /bin/sh -c "install-info --version" > /dev/null 2>&1 ; then \
	install-info --info-dir="/home/peko/autobuild/instance-1/output/host/share/info" "/home/peko/autobuild/instance-1/output/host/share/info/lzip.info" ; \
fi

Your Buildroot configuration needs a compiler capable of building 32 bits binaries.
If you're running a Debian/Ubuntu distribution, install the gcc-multilib package.
For other distributions, refer to their documentation.
make[1]: *** [core-dependencies] Error 1
make: *** [_all] Error 2
make: Leaving directory `/home/peko/autobuild/instance-1/buildroot'