The code for the speed test is in <openssl>/apps/speed.c.
-multi is a switch for multiple benchmarks in parallel, not multiplications (to remove all confusion). See the comments around line 1145:
#ifndef NO_FORK
    BIO_printf(bio_err,"-multi n        run n benchmarks in parallel.\n");
#endif
What does the column sign and verify mean?
Sign and verify do just what they say. They time a signing operation and a verify operation with different RSA moduli. 
Sign/s and Verify/s are the inversions of Sign and Verify. I.e., 1/0.000008s => 125,000 signs per second.
Here's the code to print the report you are seeing. It starts around line 2450:
#ifndef OPENSSL_NO_RSA
    j=1;
    for (k=0; k<RSA_NUM; k++)
        {
        if (!rsa_doit[k]) continue;
        if (j && !mr)
            {
            printf("%18ssign    verify    sign/s verify/s\n"," ");
            j=0;
            }
        if(mr)
            fprintf(stdout,"+F2:%u:%u:%f:%f\n",
                k,rsa_bits[k],rsa_results[k][0],
                rsa_results[k][1]);
        else
            fprintf(stdout,"rsa %4u bits %8.6fs %8.6fs %8.1f %8.1f\n",
                rsa_bits[k],rsa_results[k][0],rsa_results[k][1],
                1.0/rsa_results[k][0],1.0/rsa_results[k][1]);
        }
#endif
Finding the code to perform the sign and verify is left as an exercise to the reader ;)
have an Intel(R) Xeon(R) CPU E5-1650 v2 @ 3.50GHz 
Just bike shedding, but be sure to config with enable-ec_nistp_64_gcc_128 if you are using a modern GCC. Using ec_nistp_64_gcc_128 will speed up some operations, such as DH operation, by 2x or 4x.
You need a modern GCC for the __uint128_t. Configure cannot determine if the compiler supports __uint128_t on its own, so it leaves ec_nistp_64_gcc_128 disabled.