I have a code where cvx returns NaN as output. However if I either change the solver or change the cvx_precision parameter it runs great. There have been instances where if I manually input the cvx_precision to exp(-5) it returns unbounded and cvx_opt will be set to Inf. However clearly my convex program is bounded as all the variables are bounded. For instance: Here is what I get when I run the code with mosek solver:

## Successive approximation method to be employed.

For improved efficiency, Mosek is solving the dual problem.

Mosek will be called several times to refine the solution.

Original size: 627 variables, 234 equality constraints

117 exponentials add 819 variables, 468 equality constraints

## Cones | Errors |

Mov/Act | Centering Exp cone Poly cone | Status

--------±--------------------------------±--------

60/ 60 | 4.488e+00 3.005e+00 5.171e-08 | Solved

66/ 66 | 4.584e+00 2.103e+00 7.297e-10 | Solved

25/ 25 | 3.867e+00 1.835e+00 5.332e-06 | Inaccurate/Solved

3/ 9 | 8.000e+00 5.811e-01 8.618e-06 | Failed

4/ 11 | 8.000e+00 8.298e+00 7.858e-06 | Failed

4/ 11 | 8.000e+00s 1.618e+01s 8.358e-06 | Failed

5/ 12 | 8.000e+00 2.424e+01 8.022e-06 | Failed

5/ 12 | 8.000e+00s 3.242e+01s 6.761e-06 | Failed

5/ 11 | 8.000e+00 4.011e+01 9.148e-06 | Failed

Status: Failed

Optimal value (cvx_optval): NaN

## If I run the same code with Sedumi solver I get (I am not changing anything in the input):

Successive approximation method to be employed.

For improved efficiency, SeDuMi is solving the dual problem.

SeDuMi will be called several times to refine the solution.

Original size: 627 variables, 234 equality constraints

117 exponentials add 819 variables, 468 equality constraints

## Cones | Errors |

Mov/Act | Centering Exp cone Poly cone | Status

--------±--------------------------------±--------

47/ 47 | 4.489e+00 3.005e+00 0.000e+00 | Solved

37/ 37 | 3.780e+00 1.830e+00 0.000e+00 | Inaccurate/Solved

23/ 23 | 2.789e+00 8.038e-01 0.000e+00 | Inaccurate/Solved

0/ 0 | 0.000e+00 0.000e+00 0.000e+00 | Inaccurate/Solved

0/ 0 | 0.000e+00 0.000e+00 0.000e+00 | Inaccurate/Solved

2/ 2 | 6.997e+00 3.916e+00 0.000e+00 | Failed

2/ 2 | 6.998e+00s 7.889e+00s 0.000e+00 | Failed

3/ 3 | 7.000e+00 1.450e+01 0.000e+00 | Failed

3/ 3 | 7.001e+00s 1.739e+01s 0.000e+00 | Failed

3/ 3 | 7.000e+00s 1.656e+01s 0.000e+00 | Failed

3/ 3 | 7.004e+00s 1.991e+01s 0.000e+00 | Failed

Status: Inaccurate/Solved

Optimal value (cvx_optval): +5891.48

This new output is a good solution for my purpose and I wish to have a more stable solution. There are also instances where Sedumi solver fails and mosek runs amazing. Would you please let me know what is the best strategy here. Thanks in advance for help!