Here are tuning values for atom with Jason's assembly:
./tuneup
Parameters for ./mpn/x86_64/atom/gmp-mparam.h
Using: CPU cycle counter, supplemented by microsecond getrusage()
speed_precision 1000000, speed_unittime 6.00e-10 secs, CPU freq 1667.00 MHz
DEFAULT_MAX_SIZE 1000, fft_max_size 50000
/* Generated by tuneup.c, 2014-02-18, gcc 4.6 */
#define MUL_KARATSUBA_THRESHOLD 10
#define MUL_TOOM3_THRESHOLD 66
#define MUL_TOOM4_THRESHOLD 128
#define MUL_TOOM8H_THRESHOLD 220
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_KARATSUBA_THRESHOLD 14
#define SQR_TOOM3_THRESHOLD 98
#define SQR_TOOM4_THRESHOLD 266
#define SQR_TOOM8_THRESHOLD 266
#define POWM_THRESHOLD 58
#define HGCD_THRESHOLD 31
#define GCD_DC_THRESHOLD 191
#define GCDEXT_DC_THRESHOLD 178
#define JACOBI_BASE_METHOD 3
#define DIVREM_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVREM_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define USE_PREINV_DIVREM_1 1 /* native */
#define USE_PREINV_MOD_1 1
#define DIVEXACT_1_THRESHOLD 0 /* always */
#define MODEXACT_1_ODD_THRESHOLD 0 /* always (native) */
#define MOD_1_1_THRESHOLD 7
#define MOD_1_2_THRESHOLD 8
#define MOD_1_3_THRESHOLD 11
#define DIVREM_HENSEL_QR_1_THRESHOLD 126
#define RSH_DIVREM_HENSEL_QR_1_THRESHOLD 996
#define DIVREM_EUCLID_HENSEL_THRESHOLD 8
#define ROOTREM_THRESHOLD 6
#define GET_STR_DC_THRESHOLD 19
#define GET_STR_PRECOMPUTE_THRESHOLD 32
#define SET_STR_DC_THRESHOLD 246
#define SET_STR_PRECOMPUTE_THRESHOLD 545
#define MUL_FFT_FULL_THRESHOLD 2016
#define SQR_FFT_FULL_THRESHOLD 1760
#define MULLOW_BASECASE_THRESHOLD 0 /* always */
#define MULLOW_DC_THRESHOLD 10
#define MULLOW_MUL_THRESHOLD 2824
#define MULHIGH_BASECASE_THRESHOLD 8
#define MULHIGH_DC_THRESHOLD 8
#define MULHIGH_MUL_THRESHOLD 2324
#define MULMOD_2EXPM1_THRESHOLD 14
#define FAC_UI_THRESHOLD 8757
#define DC_DIV_QR_THRESHOLD 28
#define DC_DIVAPPR_Q_N_THRESHOLD 94
#define INV_DIV_QR_THRESHOLD 1334
#define INV_DIVAPPR_Q_N_THRESHOLD 94
#define DC_DIV_Q_THRESHOLD 73
#define INV_DIV_Q_THRESHOLD 2914
#define DC_DIVAPPR_Q_THRESHOLD 32
#define INV_DIVAPPR_Q_THRESHOLD 8232
#define DC_BDIV_QR_THRESHOLD 28
#define DC_BDIV_Q_THRESHOLD 35
/* fft_tuning -- autogenerated by tune-fft */
#define FFT_TAB \
{ { 4, 3 }, { 3, 2 }, { 3, 2 }, { 2, 1 }, { 1, 0 } }
#define MULMOD_TAB \
{ 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1 }
#define FFT_N_NUM 19
#define FFT_MULMOD_2EXPP1_CUTOFF 128
/* Tuneup completed successfully, took 568 seconds */
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