| Time | Language | Ode
File | Equation | Start | End | Actual
End | H | Digits | Correct Digits | Terms | 1st
Relative Error Percent | Last Relative
Error Percent | Iterations | Pole | Radius | Order | Execution
Time | Estimated Total Time | Last Save | diffeq
program | diffeq results | Comment |
|---|
| 2013-01-16T22:30:19-06:00 | Ruby | div_sin_lin_new | diff( y , x , 1 ) = cos ( x ) / ( 2.0 * x + 1.0 ) - 2.0 * sin ( x ) / ( 2.0 * x + 1.0 ) / ( 2.0 * x + 1.0 ) ; | 0.1 | 1.0 | 1.0000000000000007 | 0.001 | 16 | 13 | 30 | 0.0 | 3.958055475941143e-13 | 900 | No Pole | NA | NA | 3 Seconds | Done | 158 | div_sin_lin_new diffeq.rb | div_sin_lin_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:30:24-06:00 | c++ | div_sin_lin_new | diff( y , x , 1 ) = cos ( x ) / ( 2.0 * x + 1.0 ) - 2.0 * sin ( x ) / ( 2.0 * x + 1.0 ) / ( 2.0 * x + 1.0 ) ; | 0.1 | 1 | 1 | 0.001 | 16 | 13 | 30 | 0 | 3.95806e-13 | 900 | No Pole | NA | NA | 1 Seconds | Done | 158 | div_sin_lin_new diffeq.cpp | div_sin_lin_new c++ results | Ruby, C++ - new equations |
| 2013-01-16T22:30:29-06:00 | Ruby | expt_c_sin_new | diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; | 0.1 | 1.0 | 1.0000000000000007 | 0.001 | 16 | 14 | 30 | 0.0 | 3.718914956588499e-14 | 900 | Complex | 4.356157124211868 | 11.596290042352777 | 6 Seconds | Done | 158 | expt_c_sin_new diffeq.rb | expt_c_sin_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:30:36-06:00 | c++ | expt_c_sin_new | diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; | 0.1 | 1 | 1 | 0.001 | 16 | 14 | 30 | 0 | 3.71891e-14 | 900 | Complex | 4.35616 | 11.5963 | 0 Seconds | Done | 158 | expt_c_sin_new diffeq.cpp | expt_c_sin_new c++ results | Ruby, C++ - new equations |
| 2013-01-16T22:30:39-06:00 | Ruby | expt_lin_lin_new | diff ( y , x , 1 ) = expt( 2.0 * x + 1.0 , 3.0 * x + 2.0 ) * ( 3.0 * ln( 2.0 * x + 1.0 )+ ( 2.0 * ( 3.0 * x + 2.0 ) ) / ( 2.0 * x + 1.0) ) ; | 0.1 | 1.0 | 1.0000000000000007 | 0.001 | 16 | 14 | 30 | 0.0 | 7.06437586022472e-14 | 900 | Real | 5.163670413496752 | 33.8433532255484 | 3 Seconds | Done | 158 | expt_lin_lin_new diffeq.rb | expt_lin_lin_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:30:45-06:00 | c++ | expt_lin_lin_new | diff ( y , x , 1 ) = expt( 2.0 * x + 1.0 , 3.0 * x + 2.0 ) * ( 3.0 * ln( 2.0 * x + 1.0 )+ ( 2.0 * ( 3.0 * x + 2.0 ) ) / ( 2.0 * x + 1.0) ) ; | 0.1 | 1 | 1 | 0.001 | 16 | 14 | 30 | 0 | 7.06438e-14 | 900 | Real | 5.16367 | 33.8434 | 0 Seconds | Done | 158 | expt_lin_lin_new diffeq.cpp | expt_lin_lin_new c++ results | Ruby, C++ - new equations |
| 2013-01-16T22:30:49-06:00 | Ruby | expt_lin_sin_new | diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0* x + 1.0 )+ ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ); | 0.1 | 1.0 | 1.0000000000000007 | 0.001 | 16 | 14 | 30 | 0.0 | 8.81978664065432e-14 | 900 | No Pole | NA | NA | 5 Seconds | Done | 158 | expt_lin_sin_new diffeq.rb | expt_lin_sin_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:30:55-06:00 | c++ | expt_lin_sin_new | diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0* x + 1.0 )+ ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ); | 0.1 | 1 | 1 | 0.001 | 16 | 14 | 30 | 0 | 8.81979e-14 | 900 | No Pole | NA | NA | 1 Seconds | Done | 158 | expt_lin_sin_new diffeq.cpp | expt_lin_sin_new c++ results | Ruby, C++ - new equations |
| 2013-01-16T22:30:59-06:00 | Ruby | expt_sin_lin_new | diff ( y , x , 1 ) = ( expt ( sin ( x ) , ( 2.0 * x + 1.0 ) ) ) * ( ( 2.0 * ln ( sin ( x ) ) ) + ( ( ( 2.0 * x + 1.0 ) * cos ( x ) ) / sin ( x ) ) ) ; | 0.1 | 0.11 | 0.11000000000000001 | 0.001 | 16 | 6 | 30 | 0.0 | 3.256073329055186e-06 | 10 | No Pole | NA | NA | 0 Seconds | Done | 158 | expt_sin_lin_new diffeq.rb | expt_sin_lin_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:31:01-06:00 | c++ | expt_sin_lin_new | diff ( y , x , 1 ) = ( expt ( sin ( x ) , ( 2.0 * x + 1.0 ) ) ) * ( ( 2.0 * ln ( sin ( x ) ) ) + ( ( ( 2.0 * x + 1.0 ) * cos ( x ) ) / sin ( x ) ) ) ; | 0.1 | 0.11 | 0.11 | 0.001 | 16 | 6 | 30 | 0 | 3.25607e-06 | 10 | No Pole | NA | NA | 0 Seconds | Done | 158 | expt_sin_lin_new diffeq.cpp | expt_sin_lin_new c++ results | Ruby, C++ - new equations |
| 2013-01-16T22:31:06-06:00 | Ruby | tanh_sqrt_new | diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; | 0.1 | 1.0 | 1.0000000000000007 | 0.001 | 16 | 13 | 30 | 0.0 | 1.0638511641339927e-13 | 900 | Complex | 1.9871291631396677 | 0.128438258617944 | 14 Seconds | Done | 158 | tanh_sqrt_new diffeq.rb | tanh_sqrt_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:31:21-06:00 | c++ | tanh_sqrt_new | diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; | 0.1 | 1 | 1 | 0.001 | 16 | 13 | 30 | 0 | 1.06385e-13 | 900 | Complex | 1.98713 | 0.128438 | 1 Seconds | Done | 158 | tanh_sqrt_new diffeq.cpp | tanh_sqrt_new c++ results | Ruby, C++ - new equations |
| 2013-01-16T22:31:24-06:00 | Ruby | tan_sqrt_new | diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; | 0.1 | 1.0 | 0.7337005501361643 | 5.327983105130598e-17 | 16 | 11 | 30 | 0.0 | 3.169012742111669e-11 | 36366 | Real | 5.327983105130741e-15 | 1.0000000000005258 | 3 Minutes 0 Seconds | 4 Minutes 15.641248796755491 Seconds | 158 | tan_sqrt_new diffeq.rb | tan_sqrt_new Ruby results | Ruby, C++ - new equations |
| 2013-01-16T22:34:25-06:00 | c++ | tan_sqrt_new | diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; | 0.1 | 1 | 0.733701 | 5.32798e-17 | 16 | 11 | 30 | 0 | 3.70893e-11 | 397910 | Real | 5.32798e-15 | 1 | 3 Minutes 0 Seconds | 4 Minutes 15 Seconds | 158 | tan_sqrt_new diffeq.cpp | tan_sqrt_new c++ results | Ruby, C++ - new equations |