Basic Arithmetic

Compiler : clang++

Average performance (nanoseconds)

Using base 2¹⁶ number system representation.

• a limb size = 5763
• b limb size = 4339

basic arithmetic average

cases	nanoseconds
add (a + b)	13914 ns
sub (a - b)	13636 ns
mul (a * b)	11628073 ns
div (a / b)	513872131 ns

functions

name	microseconds
apa::fibonacci(100000)	383423 μs
apa::factorial(8000)	41217 μs

Using base 2³² number system representation.

• a limb size = 2882
• b limb size = 2170

basic arithmetic average

cases	nanoseconds
add (a + b)	9179 ns
sub (a - b)	7526 ns
mul (a * b)	4156197 ns
div (a / b)	139675255 ns

functions

name	microseconds
apa::fibonacci(100000)	207113 μs
apa::factorial(8000)	22189 μs

Using base 2⁶⁴ number system representation.

• a limb size = 1441
• b limb size = 1085

basic arithmetic average

cases	nanoseconds
add (a + b)	7491 ns
sub (a - b)	5491 ns
mul (a * b)	2380097 ns
div (a / b)	131256932 ns

functions

name	microseconds
apa::fibonacci(100000)	147303 μs
apa::factorial(8000)	24505 μs

System Runner

Architecture:                    x86_64
CPU op-mode(s):                  32-bit, 64-bit
Address sizes:                   36 bits physical, 48 bits virtual
Byte Order:                      Little Endian
CPU(s):                          4
On-line CPU(s) list:             0-3
Vendor ID:                       GenuineIntel
Model name:                      Intel(R) Pentium(R) CPU  N3700  @ 1.60GHz
CPU family:                      6
Model:                           76
Thread(s) per core:              1
Core(s) per socket:              4
Socket(s):                       1
Stepping:                        3
CPU max MHz:                     2400.0000
CPU min MHz:                     480.0000
BogoMIPS:                        3200.00
Flags:                           fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx rdtscp lm constant_tsc arch_perfmon pebs bts rep_good nopl xtopology tsc_reliable nonstop_tsc cpuid aperfmperf tsc_known_freq pni pclmulqdq dtes64 monitor ds_cpl vmx est tm2 ssse3 cx16 xtpr pdcm sse4_1 sse4_2 movbe popcnt tsc_deadline_timer aes rdrand lahf_lm 3dnowprefetch epb pti ibrs ibpb stibp tpr_shadow vnmi flexpriority ept vpid tsc_adjust smep erms dtherm ida arat md_clear
Virtualization:                  VT-x
L1d cache:                       96 KiB (4 instances)
L1i cache:                       128 KiB (4 instances)
L2 cache:                        2 MiB (2 instances)
NUMA node(s):                    1
NUMA node0 CPU(s):               0-3
Vulnerability Itlb multihit:     Not affected
Vulnerability L1tf:              Not affected
Vulnerability Mds:               Mitigation; Clear CPU buffers; SMT disabled
Vulnerability Meltdown:          Mitigation; PTI
Vulnerability Mmio stale data:   Unknown: No mitigations
Vulnerability Retbleed:          Not affected
Vulnerability Spec store bypass: Not affected
Vulnerability Spectre v1:        Mitigation; usercopy/swapgs barriers and __user pointer sanitization
Vulnerability Spectre v2:        Mitigation; Retpolines, IBPB conditional, IBRS_FW, STIBP disabled, RSB filling, PBRSB-eIBRS Not affected
Vulnerability Srbds:             Not affected
Vulnerability Tsx async abort:   Not affected