No mxtics in logscale with gnuplot - gnuplot

Question

I am having troubles making Gnuplot show the intemediate tics (mxtics) in a log scale. I have looked up similar topics, but none of the answers work for me. Please find enclosed a minimal working example,
set size 1,1
set origin 0,0
unset xtics
set yrange [-1:1]
set xrange [1e-6:2]
set mxtics 10
set logscale x
set format x ""
set xtics 1, 1e-2
set xtics 1e-4, 1e-6
set xtics add ("10^{-4}" 1e-4,"10^{-2}" 1e-2, "1" 1) offset 0,0
set xtics nomirror
set format y ""
unset ytics
p 0.0
which provides the following output, with no mxtics:
I would like to have 10 mxtics per decade, i.e., one at 10^{-2}, one at 2 10^{-2}, ..., one at 9 10^{-2}. Do you know how to do that? I have tried changing the order of the command lines, but it didn't work.
FYI, here is the Gnuplot version that I am using:
$ gnuplot
G N U P L O T
Version 5.2 patchlevel 2 last modified 2017-11-15
EDIT: The following is tentative way to make this work:
set xrange [1e-6:1]
set yrange [-1:1]
set logscale x
set format x "10^{%T}"
set xtics add ("" 1e-3, "" 1e-5, "" 1e-1)
set mxtics 10
set xtics nomirror
set format y ""
unset ytics
unset ylabel
p 0 w l lw 2 linecolor rgb "black" noti
and it produces the output However, this does not work if I set term epslatex, which is the terminal that I ultimately want to use.
In fact, if I run the same script with epslatex terminal, the xtics at 10^{-3}, ... are not removed.

Answer 1

It seems you are trying a bit too complicated. Wouldn't the following do what you want or do you want something special and different?
Code:
### log tics and mtics
reset session
set xrange[1e-6:2]
set logscale x
set format x "10^{%T}"
set mxtics 10
set grid xtics,mxtics lt -1, lt 0
set xtics add ("" 1e-6, "" 1e-5, "" 1e-3, "" 1e-1, "1" 1)
plot x
### end of code
Result:

Answer 2

As for me, the epslatex output produced from your edit looks fine for me, it only contains the major xtics labeled at 10^-6, 10^-4, 10^-2 and 10^-0. Therefore this code is working perfectly (I only changed the xtics format to math so that latex doesn't complain):
set term epslatex standalone
set out "logtics.tex"
set xrange [1e-6:1]
set yrange [-1:1]
set logscale x
set format x "$10^{%T}$"
set xtics add ("" 1e-3, "" 1e-5, "" 1e-1)
set mxtics 10
set xtics nomirror
set format y ""
unset ytics
unset ylabel
p x w l lw 2 linecolor rgb "black" noti
unset out
unset term
I am using gnuplot 5.3, maybe there was some kind of bugfix in-between…
If that is not helping you, did you consider switching to cairolatex terminal? It has the same purpose, but it overcomes the troubles of converting eps to pdf prior to inclusion in pdflatex.