use symbolica::{ atom::Atom, domains::rational::Q, poly::evaluate::{HornerScheme, InstructionSetPrinter}, }; use symbolica::poly::polynomial::MultivariatePolynomial; const SIGMA: &str = "+32*amel2^3*zk^2*xcp3 +32*amel2^3*zk^2*xcp1 -48*amel2^3*zk^2*x1*xcp3 -48*amel2^3*zk^2*x1*xcp1 +32*amel2^4*x5^2*xcp3 +32*amel2^4*x5^2*xcp1 +64*amel2^4*x4*x5*xcp3 -128*amel2^4*x4*x5*xcp2 +64*amel2^4*x4*x5*xcp1 +64*amel2^4*x4^2*xcp3 -128*amel2^4*x4^2*xcp2 +64*amel2^4*x4^2*xcp1 -128*amel2^4*x3*x5*xcp2 +64*amel2^4*x3*x4*xcp3 -128*amel2^4*x3*x4*xcp2 +64*amel2^4*x3*x4*xcp1 +32*amel2^4*x3^2*xcp3 +32*amel2^4*x3^2*xcp1 -64*amel2^4*x1*xcp3 -64*amel2^4*x1*xcp1 +32*amel2^4*x1*x5*xcp3 +32*amel2^4*x1*x5*xcp1 -32*amel2^4*x1*x5^2*xcp3 -32*amel2^4*x1*x5^2*xcp1 +64*amel2^4*x1*x4*xcp3 -192*amel2^4*x1*x4*xcp2 +64*amel2^4*x1*x4*xcp1 -64*amel2^4*x1*x4*x5*xcp3 +128*amel2^4*x1*x4*x5*xcp2 -64*amel2^4*x1*x4*x5*xcp1 -64*amel2^4*x1*x4^2*xcp3 +128*amel2^4*x1*x4^2*xcp2 -64*amel2^4*x1*x4^2*xcp1 +96*amel2^4*x1*x3*xcp3 -192*amel2^4*x1*x3*xcp2 +96*amel2^4*x1*x3*xcp1 +128*amel2^4*x1*x3*x5*xcp2 -64*amel2^4*x1*x3*x4*xcp3 +128*amel2^4*x1*x3*x4*xcp2 -64*amel2^4*x1*x3*x4*xcp1 -32*amel2^4*x1*x3^2*xcp3 -32*amel2^4*x1*x3^2*xcp1 +64*amel2^4*x1^2*xcp3 +64*amel2^4*x1^2*xcp1 -64*amel2^4*x1^2*x5*xcp3 -64*amel2^4*x1^2*x5*xcp1 -64*amel2^4*x1^2*x4*xcp3 -64*amel2^4*x1^2*x4*xcp1 -64*amel2^4*x1^2*x3*xcp3 -64*amel2^4*x1^2*x3*xcp1 -32*amel2^4*x1^3*xcp3 -32*amel2^4*x1^3*xcp1 +48*e2e1*amel2^2*zk^2*xcp3 +32*e2e1*amel2^2*zk^2*xcp2 +48*e2e1*amel2^2*zk^2*xcp1 -48*e2e1*amel2^2*zk^2*x5*xcp3 +64*e2e1*amel2^2*zk^2*x5*xcp2 -48*e2e1*amel2^2*zk^2*x5*xcp1 -96*e2e1*amel2^2*zk^2*x4*xcp3 -96*e2e1*amel2^2*zk^2*x4*xcp1 -64*e2e1*amel2^2*zk^2*x3*xcp2 -48*e2e1*amel2^2*zk^2*x1*xcp3 -48*e2e1*amel2^2*zk^2*x1*xcp1 +256*e2e1*amel2^3*x5*xcp2 +32*e2e1*amel2^3*x5^2*xcp3 -128*e2e1*amel2^3*x5^2*xcp2 +32*e2e1*amel2^3*x5^2*xcp1 -32*e2e1*amel2^3*x5^3*xcp3 -32*e2e1*amel2^3*x5^3*xcp1 -64*e2e1*amel2^3*x4*xcp3 +256*e2e1*amel2^3*x4*xcp2 -64*e2e1*amel2^3*x4*xcp1 +128*e2e1*amel2^3*x4*x5*xcp3 -448*e2e1*amel2^3*x4*x5*xcp2 +128*e2e1*amel2^3*x4*x5*xcp1 -128*e2e1*amel2^3*x4*x5^2*xcp3 +64*e2e1*amel2^3*x4*x5^2*xcp2 -128*e2e1*amel2^3*x4*x5^2*xcp1 +192*e2e1*amel2^3*x4^2*xcp3 -384*e2e1*amel2^3*x4^2*xcp2 +192*e2e1*amel2^3*x4^2*xcp1 -192*e2e1*amel2^3*x4^2*x5*xcp3 +256*e2e1*amel2^3*x4^2*x5*xcp2 -192*e2e1*amel2^3*x4^2*x5*xcp1 -128*e2e1*amel2^3*x4^3*xcp3 +128*e2e1*amel2^3*x4^3*xcp2 -128*e2e1*amel2^3*x4^3*xcp1 +64*e2e1*amel2^3*x3*xcp3 +64*e2e1*amel2^3*x3*xcp1 -448*e2e1*amel2^3*x3*x5*xcp2 +64*e2e1*amel2^3*x3*x5^2*xcp2 +192*e2e1*amel2^3*x3*x4*xcp3 -576*e2e1*amel2^3*x3*x4*xcp2 +192*e2e1*amel2^3*x3*x4*xcp1 -64*e2e1*amel2^3*x3*x4*x5*xcp3 +384*e2e1*amel2^3*x3*x4*x5*xcp2 -64*e2e1*amel2^3*x3*x4*x5*xcp1 -128*e2e1*amel2^3*x3*x4^2*xcp3 +128*e2e1*amel2^3*x3*x4^2*xcp2 -128*e2e1*amel2^3*x3*x4^2*xcp1 +32*e2e1*amel2^3*x3^2*xcp3 -64*e2e1*amel2^3*x3^2*xcp2 +32*e2e1*amel2^3*x3^2*xcp1 -32*e2e1*amel2^3*x3^2*x5*xcp3 +128*e2e1*amel2^3*x3^2*x5*xcp2 -32*e2e1*amel2^3*x3^2*x5*xcp1 -64*e2e1*amel2^3*x3^2*x4*xcp3 -64*e2e1*amel2^3*x3^2*x4*xcp2 -64*e2e1*amel2^3*x3^2*x4*xcp1 -64*e2e1*amel2^3*x3^3*xcp2 -64*e2e1*amel2^3*x1*xcp3 +128*e2e1*amel2^3*x1*xcp2 -64*e2e1*amel2^3*x1*xcp1 +32*e2e1*amel2^3*x1*x5*xcp3 -448*e2e1*amel2^3*x1*x5*xcp2 +32*e2e1*amel2^3*x1*x5*xcp1 -96*e2e1*amel2^3*x1*x5^2*xcp3 +256*e2e1*amel2^3*x1*x5^2*xcp2 -96*e2e1*amel2^3*x1*x5^2*xcp1 +192*e2e1*amel2^3*x1*x4*xcp3 -768*e2e1*amel2^3*x1*x4*xcp2 +192*e2e1*amel2^3*x1*x4*xcp1 -320*e2e1*amel2^3*x1*x4*x5*xcp3 +768*e2e1*amel2^3*x1*x4*x5*xcp2 -320*e2e1*amel2^3*x1*x4*x5*xcp1 -256*e2e1*amel2^3*x1*x4^2*xcp3 +512*e2e1*amel2^3*x1*x4^2*xcp2 -256*e2e1*amel2^3*x1*x4^2*xcp1 +160*e2e1*amel2^3*x1*x3*xcp3 -448*e2e1*amel2^3*x1*x3*xcp2 +160*e2e1*amel2^3*x1*x3*xcp1 -64*e2e1*amel2^3*x1*x3*x5*xcp3 +512*e2e1*amel2^3*x1*x3*x5*xcp2 -64*e2e1*amel2^3*x1*x3*x5*xcp1 -256*e2e1*amel2^3*x1*x3*x4*xcp3 +512*e2e1*amel2^3*x1*x3*x4*xcp2 -256*e2e1*amel2^3*x1*x3*x4*xcp1 -32*e2e1*amel2^3*x1*x3^2*xcp3 -32*e2e1*amel2^3*x1*x3^2*xcp1 +128*e2e1*amel2^3*x1^2*xcp3 -64*e2e1*amel2^3*x1^2*xcp2 +128*e2e1*amel2^3*x1^2*xcp1 -96*e2e1*amel2^3*x1^2*x5*xcp3 +128*e2e1*amel2^3*x1^2*x5*xcp2 -96*e2e1*amel2^3*x1^2*x5*xcp1 -192*e2e1*amel2^3*x1^2*x4*xcp3 +64*e2e1*amel2^3*x1^2*x4*xcp2 -192*e2e1*amel2^3*x1^2*x4*xcp1 -128*e2e1*amel2^3*x1^2*x3*xcp3 -64*e2e1*amel2^3*x1^2*x3*xcp2 -128*e2e1*amel2^3*x1^2*x3*xcp1 -32*e2e1*amel2^3*x1^3*xcp3 -32*e2e1*amel2^3*x1^3*xcp1 +96*e2e1^2*amel2*zk^2*xcp2 -48*e2e1^2*amel2*zk^2*x5*xcp3 -32*e2e1^2*amel2*zk^2*x5*xcp2 -48*e2e1^2*amel2*zk^2*x5*xcp1 -96*e2e1^2*amel2*zk^2*x4*xcp3 -32*e2e1^2*amel2*zk^2*x4*xcp2 -96*e2e1^2*amel2*zk^2*x4*xcp1 -96*e2e1^2*amel2*zk^2*x3*xcp3 +32*e2e1^2*amel2*zk^2*x3*xcp2 -96*e2e1^2*amel2*zk^2*x3*xcp1 -96*e2e1^2*amel2*zk^2*x1*xcp2 +384*e2e1^2*amel2^2*x5*xcp2 +128*e2e1^2*amel2^2*x5^2*xcp2 -32*e2e1^2*amel2^2*x5^3*xcp3 -192*e2e1^2*amel2^2*x5^3*xcp2 -32*e2e1^2*amel2^2*x5^3*xcp1 -64*e2e1^2*amel2^2*x4*xcp3 +512*e2e1^2*amel2^2*x4*xcp2 -64*e2e1^2*amel2^2*x4*xcp1 +64*e2e1^2*amel2^2*x4*x5*xcp3 -256*e2e1^2*amel2^2*x4*x5*xcp2 +64*e2e1^2*amel2^2*x4*x5*xcp1 -192*e2e1^2*amel2^2*x4*x5^2*xcp3 -192*e2e1^2*amel2^2*x4*x5^2*xcp2 -192*e2e1^2*amel2^2*x4*x5^2*xcp1 +128*e2e1^2*amel2^2*x4^2*xcp3 -384*e2e1^2*amel2^2*x4^2*xcp2 +128*e2e1^2*amel2^2*x4^2*xcp1 -384*e2e1^2*amel2^2*x4^2*x5*xcp3 +256*e2e1^2*amel2^2*x4^2*x5*xcp2 -384*e2e1^2*amel2^2*x4^2*x5*xcp1 -256*e2e1^2*amel2^2*x4^3*xcp3 +256*e2e1^2*amel2^2*x4^3*xcp2 -256*e2e1^2*amel2^2*x4^3*xcp1 +64*e2e1^2*amel2^2*x3*xcp3 +128*e2e1^2*amel2^2*x3*xcp2 +64*e2e1^2*amel2^2*x3*xcp1 -64*e2e1^2*amel2^2*x3*x5*xcp3 -640*e2e1^2*amel2^2*x3*x5*xcp2 -64*e2e1^2*amel2^2*x3*x5*xcp1 -64*e2e1^2*amel2^2*x3*x5^2*xcp3 +64*e2e1^2*amel2^2*x3*x5^2*xcp2 -64*e2e1^2*amel2^2*x3*x5^2*xcp1 +64*e2e1^2*amel2^2*x3*x4*xcp3 -896*e2e1^2*amel2^2*x3*x4*xcp2 +64*e2e1^2*amel2^2*x3*x4*xcp1 -256*e2e1^2*amel2^2*x3*x4*x5*xcp3 +768*e2e1^2*amel2^2*x3*x4*x5*xcp2 -256*e2e1^2*amel2^2*x3*x4*x5*xcp1 -384*e2e1^2*amel2^2*x3*x4^2*xcp3 +640*e2e1^2*amel2^2*x3*x4^2*xcp2 -384*e2e1^2*amel2^2*x3*x4^2*xcp1 -256*e2e1^2*amel2^2*x3^2*xcp2 -32*e2e1^2*amel2^2*x3^2*x5*xcp3 +320*e2e1^2*amel2^2*x3^2*x5*xcp2 -32*e2e1^2*amel2^2*x3^2*x5*xcp1 -192*e2e1^2*amel2^2*x3^2*x4*xcp3 +320*e2e1^2*amel2^2*x3^2*x4*xcp2 -192*e2e1^2*amel2^2*x3^2*x4*xcp1 -64*e2e1^2*amel2^2*x3^3*xcp3 +64*e2e1^2*amel2^2*x3^3*xcp2 -64*e2e1^2*amel2^2*x3^3*xcp1 +64*e2e1^2*amel2^2*x1*xcp3 +256*e2e1^2*amel2^2*x1*xcp2 +64*e2e1^2*amel2^2*x1*xcp1 -32*e2e1^2*amel2^2*x1*x5*xcp3 -640*e2e1^2*amel2^2*x1*x5*xcp2 -32*e2e1^2*amel2^2*x1*x5*xcp1 -64*e2e1^2*amel2^2*x1*x5^2*xcp3 +320*e2e1^2*amel2^2*x1*x5^2*xcp2 -64*e2e1^2*amel2^2*x1*x5^2*xcp1 +192*e2e1^2*amel2^2*x1*x4*xcp3 -832*e2e1^2*amel2^2*x1*x4*xcp2 +192*e2e1^2*amel2^2*x1*x4*xcp1 -320*e2e1^2*amel2^2*x1*x4*x5*xcp3 +1024*e2e1^2*amel2^2*x1*x4*x5*xcp2 -320*e2e1^2*amel2^2*x1*x4*x5*xcp1 -320*e2e1^2*amel2^2*x1*x4^2*xcp3 +512*e2e1^2*amel2^2*x1*x4^2*xcp2 -320*e2e1^2*amel2^2*x1*x4^2*xcp1 +32*e2e1^2*amel2^2*x1*x3*xcp3 -576*e2e1^2*amel2^2*x1*x3*xcp2 +32*e2e1^2*amel2^2*x1*x3*xcp1 -256*e2e1^2*amel2^2*x1*x3*x5*xcp3 +896*e2e1^2*amel2^2*x1*x3*x5*xcp2 -256*e2e1^2*amel2^2*x1*x3*x5*xcp1 -448*e2e1^2*amel2^2*x1*x3*x4*xcp3 +768*e2e1^2*amel2^2*x1*x3*x4*xcp2 -448*e2e1^2*amel2^2*x1*x3*x4*xcp1 -128*e2e1^2*amel2^2*x1*x3^2*xcp3 +192*e2e1^2*amel2^2*x1*x3^2*xcp2 -128*e2e1^2*amel2^2*x1*x3^2*xcp1 +32*e2e1^2*amel2^2*x1^2*xcp3 +32*e2e1^2*amel2^2*x1^2*xcp1 -32*e2e1^2*amel2^2*x1^2*x5*xcp3 +64*e2e1^2*amel2^2*x1^2*x5*xcp2 -32*e2e1^2*amel2^2*x1^2*x5*xcp1 -128*e2e1^2*amel2^2*x1^2*x4*xcp3 +64*e2e1^2*amel2^2*x1^2*x4*xcp2 -128*e2e1^2*amel2^2*x1^2*x4*xcp1 -128*e2e1^2*amel2^2*x1^2*x3*xcp3 -64*e2e1^2*amel2^2*x1^2*x3*xcp2 -128*e2e1^2*amel2^2*x1^2*x3*xcp1 -64*e2e1^2*amel2^2*x1^3*xcp2 -32*e2e1^3*zk^2*xcp2 -32*e2e1^3*zk^2*x4*xcp2 +32*e2e1^3*zk^2*x3*xcp2 -64*e2e1^3*amel2*x5*xcp3 +128*e2e1^3*amel2*x5*xcp2 -64*e2e1^3*amel2*x5*xcp1 +32*e2e1^3*amel2*x5^2*xcp3 +320*e2e1^3*amel2*x5^2*xcp2 +32*e2e1^3*amel2*x5^2*xcp1 -256*e2e1^3*amel2*x5^3*xcp2 +384*e2e1^3*amel2*x4*xcp2 +192*e2e1^3*amel2*x4*x5*xcp2 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+64*EFUN*e4e2*amel2*x3*x5*xcp1 -64*EFUN*e4e2*amel2*x3*x4*xcp3 +64*EFUN*e4e2*amel2*x3*x4*xcp1 -32*EFUN*e4e2*amel2*x3^2*xcp3 +32*EFUN*e4e2*amel2*x3^2*xcp1 -32*EFUN*e4e2*amel2*x1*x5*xcp3 +32*EFUN*e4e2*amel2*x1*x5*xcp1 -32*EFUN*e4e2*amel2*x1*x3*xcp3 +32*EFUN*e4e2*amel2*x1*x3*xcp1 +32*EFUN*e4e1*amel2*x1*x5*xcp3 -32*EFUN*e4e1*amel2*x1*x5*xcp1 +64*EFUN*e4e1*amel2*x1*x4*xcp3 -64*EFUN*e4e1*amel2*x1*x4*xcp1 +32*EFUN*e4e1*amel2*x1*x3*xcp3 -32*EFUN*e4e1*amel2*x1*x3*xcp1 +32*EFUN*e4e1*amel2*x1^2*xcp3 -32*EFUN*e4e1*amel2*x1^2*xcp1"; fn main() { let poly: MultivariatePolynomial<_, u8> = Atom::parse(SIGMA).unwrap().to_polynomial(&Q, None); // optimize SIGMA and SIGMA + 5 at the same time let mut poly2 = poly.clone(); poly2 = poly2.add_constant((5, 1).into()); let (h, score, scheme) = HornerScheme::optimize_multiple(&[&poly, &poly2], 1000); let mut i = HornerScheme::to_instr_multiple(&h, poly.nvars()); println!("Number of operations={}, with scheme={:?}", score, scheme,); i.fuse_operations(); for _ in 0..100_000 { if !i.common_pair_elimination() { break; } i.fuse_operations(); } let op_count = i.op_count(); let o = i.to_output(poly.variables.as_ref().to_vec(), true); let o_f64 = o.convert::(); println!("Writing output to evaluate_multiple.cpp"); std::fs::write( "evaluate_multiple.cpp", format!( "{}", InstructionSetPrinter { name: "evaluate".to_string(), instr: &o, mode: symbolica::poly::evaluate::InstructionSetMode::CPP( symbolica::poly::evaluate::InstructionSetModeCPPSettings { write_header_and_test: true, always_pass_output_array: false, } ) } ), ) .unwrap(); let mut evaluator = o_f64.evaluator(); println!("Final number of operations={}", op_count); println!( "Evaluation = {:?}", evaluator .evaluate_with_input(&(0..poly.nvars()).map(|x| x as f64 + 1.).collect::>()) ); }