diff --git a/math/heyoka/Makefile b/math/heyoka/Makefile
index 39782d92cb8a..a265a66c1a2b 100644
--- a/math/heyoka/Makefile
+++ b/math/heyoka/Makefile
@@ -1,37 +1,38 @@
 PORTNAME=	heyoka
 DISTVERSIONPREFIX=	v
-DISTVERSION=	0.19.0
-PORTREVISION=	3
+DISTVERSION=	0.20.0
 CATEGORIES=	math
 
 MAINTAINER=	yuri@FreeBSD.org
 COMMENT=	C++ library for ODE integration via Taylor's method and LLVM
 WWW=		https://bluescarni.github.io/heyoka/
 
 LICENSE=	MPL20
 LICENSE_FILE=	${WRKSRC}/COPYING
 
 BUILD_DEPENDS=	llvm${LLVM_VERSION}>0:devel/llvm${LLVM_VERSION}
 LIB_DEPENDS=	libboost_serialization.so:devel/boost-libs \
 		libfmt.so:devel/libfmt \
+		libgmp.so:math/gmp \
 		libmp++.so:math/mppp \
+		libmpfr.so:math/mpfr \
 		libtbb.so:devel/onetbb \
 		libsleef.so:math/sleef \
 		libspdlog.so:devel/spdlog
 RUN_DEPENDS=	llvm${LLVM_VERSION}>0:devel/llvm${LLVM_VERSION}
 TEST_DEPENDS=	xtensor>0:math/xtensor \
 		xtensor-blas>0:math/xtensor-blas
 
 USES=		cmake:testing compiler:c++17-lang
 USE_LDCONFIG=	yes
 
 USE_GITHUB=	yes
 GH_ACCOUNT=	bluescarni
 
-LLVM_VERSION=	12
+LLVM_VERSION=	14
 
 CMAKE_ON=		HEYOKA_WITH_MPPP HEYOKA_WITH_SLEEF
 CMAKE_ARGS=		-DFREEBSD_LLVM_VERSION=${LLVM_VERSION}
 CMAKE_TESTING_ON=	HEYOKA_BUILD_TESTS # 3 tests fail, see https://github.com/bluescarni/heyoka/issues/228, also #229 and #230
 
 .include <bsd.port.mk>
diff --git a/math/heyoka/distinfo b/math/heyoka/distinfo
index df32dcdb8d3f..9b2b14e66148 100644
--- a/math/heyoka/distinfo
+++ b/math/heyoka/distinfo
@@ -1,3 +1,3 @@
-TIMESTAMP = 1663717406
-SHA256 (bluescarni-heyoka-v0.19.0_GH0.tar.gz) = 7a7634379233be778fd6b15090df287787cc429314ec521d0336cdc1ae26642a
-SIZE (bluescarni-heyoka-v0.19.0_GH0.tar.gz) = 103075151
+TIMESTAMP = 1671405240
+SHA256 (bluescarni-heyoka-v0.20.0_GH0.tar.gz) = d6b4601ee28fc2dbb84c317bbe2619c776ce448f782c045a801dfa46b0d5e52c
+SIZE (bluescarni-heyoka-v0.20.0_GH0.tar.gz) = 103126787
diff --git a/math/heyoka/pkg-plist b/math/heyoka/pkg-plist
index 220773c75d09..ea5337fab25d 100644
--- a/math/heyoka/pkg-plist
+++ b/math/heyoka/pkg-plist
@@ -1,82 +1,84 @@
 include/heyoka/callable.hpp
 include/heyoka/celmec/vsop2013.hpp
 include/heyoka/config.hpp
 include/heyoka/detail/binomial.hpp
 include/heyoka/detail/cm_utils.hpp
 include/heyoka/detail/dfloat.hpp
 include/heyoka/detail/event_detection.hpp
 include/heyoka/detail/fmt_compat.hpp
 include/heyoka/detail/fwd_decl.hpp
 include/heyoka/detail/igor.hpp
 include/heyoka/detail/llvm_fwd.hpp
 include/heyoka/detail/llvm_helpers.hpp
 include/heyoka/detail/llvm_vector_type.hpp
 include/heyoka/detail/logging_impl.hpp
+include/heyoka/detail/num_utils.hpp
+include/heyoka/detail/real_helpers.hpp
 include/heyoka/detail/simple_timer.hpp
 include/heyoka/detail/sleef.hpp
 include/heyoka/detail/string_conv.hpp
 include/heyoka/detail/taylor_common.hpp
 include/heyoka/detail/type_traits.hpp
 include/heyoka/detail/visibility.hpp
 include/heyoka/detail/vsop2013/vsop2013_1.hpp
 include/heyoka/detail/vsop2013/vsop2013_2.hpp
 include/heyoka/detail/vsop2013/vsop2013_3.hpp
 include/heyoka/detail/vsop2013/vsop2013_4.hpp
 include/heyoka/detail/vsop2013/vsop2013_5.hpp
 include/heyoka/detail/vsop2013/vsop2013_6.hpp
 include/heyoka/detail/vsop2013/vsop2013_7.hpp
 include/heyoka/detail/vsop2013/vsop2013_8.hpp
 include/heyoka/detail/vsop2013/vsop2013_9.hpp
 include/heyoka/ensemble_propagate.hpp
 include/heyoka/exceptions.hpp
 include/heyoka/expression.hpp
 include/heyoka/func.hpp
 include/heyoka/gp.hpp
 include/heyoka/heyoka.hpp
 include/heyoka/kw.hpp
 include/heyoka/llvm_state.hpp
 include/heyoka/logging.hpp
 include/heyoka/mascon.hpp
 include/heyoka/math.hpp
 include/heyoka/math/acos.hpp
 include/heyoka/math/acosh.hpp
 include/heyoka/math/asin.hpp
 include/heyoka/math/asinh.hpp
 include/heyoka/math/atan.hpp
 include/heyoka/math/atan2.hpp
 include/heyoka/math/atanh.hpp
 include/heyoka/math/binary_op.hpp
 include/heyoka/math/constants.hpp
 include/heyoka/math/cos.hpp
 include/heyoka/math/cosh.hpp
 include/heyoka/math/erf.hpp
 include/heyoka/math/exp.hpp
 include/heyoka/math/kepE.hpp
 include/heyoka/math/log.hpp
 include/heyoka/math/neg.hpp
 include/heyoka/math/pow.hpp
 include/heyoka/math/sigmoid.hpp
 include/heyoka/math/sin.hpp
 include/heyoka/math/sinh.hpp
 include/heyoka/math/sqrt.hpp
 include/heyoka/math/square.hpp
 include/heyoka/math/sum.hpp
 include/heyoka/math/sum_sq.hpp
 include/heyoka/math/tan.hpp
 include/heyoka/math/tanh.hpp
 include/heyoka/math/time.hpp
 include/heyoka/math/tpoly.hpp
 include/heyoka/nbody.hpp
 include/heyoka/number.hpp
 include/heyoka/param.hpp
 include/heyoka/s11n.hpp
 include/heyoka/splitmix64.hpp
 include/heyoka/taylor.hpp
 include/heyoka/variable.hpp
 lib/cmake/heyoka/heyoka-config-version.cmake
 lib/cmake/heyoka/heyoka-config.cmake
 lib/cmake/heyoka/heyoka_export-%%CMAKE_BUILD_TYPE%%.cmake
 lib/cmake/heyoka/heyoka_export.cmake
 lib/libheyoka.so
-lib/libheyoka.so.19
-lib/libheyoka.so.19.0
+lib/libheyoka.so.20
+lib/libheyoka.so.20.0