cat /proc/cpuinfo processor : 0 vendor_id : GenuineIntel cpu family : 6 model : 13 model name : Intel(R) Pentium(R) M processor 1.70GHz stepping : 6 cpu MHz : 1700.000 cache size : 2048 KB fdiv_bug : no hlt_bug : no f00f_bug : no coma_bug : no fpu : yes fpu_exception : yes cpuid level : 2 wp : yes flags : fpu vme de pse tsc msr mce cx8 sep mtrr pge mca cmov pat clflush dts acpi mmx fxsr sse sse2 ss tm pbe up bts est tm2 bogomips : 3400.03 clflush size : 64 power management: ---------------------------------------------------------------------- | Sage Version 4.6.2, Release Date: 2011-02-25 | | Type notebook() for the GUI, and license() for information. | ---------------------------------------------------------------------- Loading Sage library. Current Mercurial branch is: test sage: giac(2) 2 sage: R=PolynomialRing(QQ,x,5) sage: t=sum(R.gens()) sage: gt=giac(str(t)) sage: w=walltime();cpug=giac.cputime();walltime(w) 0.010565042495727539 sage: w=walltime();cpug=giac.cputime();ez=(gt^15).normal();giac.cputime()-cpug;walltime(w) 0.11 0.13365697860717773 sage: w=walltime();cpus=cputime();z=(t^15);cputime()-cpus;walltime(w) 0.01600099999999971 0.016294956207275391 sage: sage: sage: R=PolynomialRing(QQ,x,3) sage: t=sum(R.gens()) sage: n=17; sage: w=walltime();cpug=giac.cputime();ez=(giac(t+1)^n+1).normal();giac.cputime()-cpug;walltime(w) 0.020000000000000004 0.088516950607299805 sage: w=walltime();cpus=cputime();z=((t+1)^n+1);cputime()-cpus;walltime(w) 0.0080009999999997028 0.0069608688354492188 sage: w=walltime();cpug=giac.cputime();f1=(ez*(ez+1)).normal();giac.cputime()-cpug;walltime(w) 0.52000000000000002 0.54698395729064941 sage: w=walltime();cpus=cputime();f2=(z*(z+1));cputime()-cpus;walltime(w) 0.80404999999999971 0.80568480491638184 sage: w=walltime();cpug=giac.cputime();l1=f1.factor();giac.cputime()-cpug;walltime(w) 0.99999999999999989 1.0280818939208984 sage: w=walltime();cpus=cputime();l2=f2.factor();cputime()-cpus;walltime(w) 19.905244000000003 20.015537977218628 sage: sage: sage: sage: R=PolynomialRing(QQ,x,4) sage: t=sum(R.gens()) sage: n=17; sage: w=walltime();cpug=giac.cputime();ez=(giac(t+1)^n+1).normal();giac.cputime()-cpug;walltime(w) 0.040000000000000036 0.084957122802734375 sage: w=walltime();cpus=cputime();z=((t+1)^n+1);cputime()-cpus;walltime(w) 0.012001000000001483 0.014012813568115234 sage: w=walltime();cpug=giac.cputime();f1=(ez*(ez+1)).normal();giac.cputime()-cpug;walltime(w) 2.9399999999999999 2.9736530780792236 sage: w=walltime();cpus=cputime();f2=(z*(z+1));cputime()-cpus;walltime(w) 38.154383999999993 38.293603897094727 sage: sage: sage: sage: sage: n=10; sage: w=walltime();cpug=giac.cputime();ez=(giac(t+1)^n+1).normal();giac.cputime()-cpug;walltime(w) 0.030000000000000249 0.081470012664794922 sage: w=walltime();cpus=cputime();z=((t+1)^n+1);cputime()-cpus;walltime(w) 0.0040000000000048885 0.0019900798797607422 sage: w=walltime();cpug=giac.cputime();f1=(ez*(ez+1)).normal();giac.cputime()-cpug;walltime(w) 0.22999999999999954 0.2736508846282959 sage: w=walltime();cpus=cputime();f2=(z*(z+1));cputime()-cpus;walltime(w) 0.31201899999999938 0.34183406829833984 sage: w=walltime();cpug=giac.cputime();l1=f1.factor();giac.cputime()-cpug;walltime(w) 1.0200000000000005 1.0429329872131348 sage: w=walltime();cpus=cputime();l2=f2.factor();cputime()-cpus;walltime(w) 3.8082379999999958 3.8427610397338867 sage: sage: sage: sage: R=PolynomialRing(QQ,x,5) sage: t=sum(R.gens()) sage: n=10; sage: w=walltime();cpug=giac.cputime();ez=(giac(t+2)^n+3).normal();giac.cputime()-cpug;walltime(w) 0.019999999999999574 0.068176031112670898 sage: w=walltime();cpus=cputime();z=((t+2)^n+3);cputime()-cpus;walltime(w) 0.0040010000000023638 0.013809919357299805 sage: w=walltime();cpug=giac.cputime();f1=(ez*(ez+1)).normal();giac.cputime()-cpug;walltime(w) 1.2400000000000002 1.2830979824066162 sage: w=walltime();cpus=cputime();f2=(z*(z+1));cputime()-cpus;walltime(w) 7.544471999999999 7.6055309772491455 sage: sage: w=walltime();cpug=giac.cputime();l1=f1.factors();giac.cputime()-cpug;walltime(w) 8.1799999999999997 8.3231899738311768 sage: w=walltime();cpus=cputime();l2=f2.factor();cputime()-cpus;walltime(w) 116.79929899999999 118.21226906776428 sage: sage: sage: