Have a woods 1875 watt timer how do I program it

Do not run any timer warm... replace with switch, and/or buy another timer.
Copy following link to identify timer and download instructions:
http://waterheatertimer.org/Program-wire-Utilitec-LW60418.html
This timer is rated 15 amp 1875 watts.
Safe maximum is always 80% rating plate: is 12 amp and 1440 watts.
Add up total watts on circuit.
Add a comment and say what you discover.

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Timex 12-881 timer has 3-prong outlet and is rated 15amp 1875 watts.

The timer melted because too much amperage was drawn across the connection and timer got hot.
Different things can cause this.
Phony rating, and/or mis-manufactured timer.
Defective timer.
If distiller has a motor, then it will draw more amps at start-up.
Timer is rated for incandescent light bulbs only.
Many timers say 1875 watts resistive, but instruction sheet will show 1000Watts incandescent and 1/4 HP horsepower.
Timer is plugged into extension cord.
Cheaply built product, not meant for constant use.
Timer outlet and distiller plug did not meet firmly, so connection heated up.
Turn off distiller before plugging into outlet so no spark is at the connection point.

I recommend appliance timer for operating appliances.
For example Intermatic HB 113 timer.
http://www.smarthome.com/25071/Intermatic-HB113C-120V-20A-Heavy-Duty-Mechanical-Appliance-Timer/p.aspx
Also heavy duty portable timer like Intermatic P1121
http://waterheatertimer.org/Intermatic-timers-and-manuals.html#appliance

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Timer is not identified.
Noma is generic brand name used by different sellers to denote that product is a timer.
Noma is generally associated with Woods timers.
1875 is usually the watt rating for heavier duty timers, like 2 button block heater timers, etc.

1) Add a comment and describe timer in detail, and include photo of timer posted on Flickr for possible identification.

2) Open following link to find same-similar timer
http://waterheatertimer.org/Woods-timers-and-manuals.html#outdoor

I suggest 120Volt HB113C Intermatic appliance timer for heavy motor loads like dehumidifier:
http://www.smarthome.com/25071/Intermatic-HB113C-120V-20A-Heavy-Duty-Mechanical-Appliance-Timer/p.aspx
http://waterheatertimer.org/Intermatic-timers-and-manuals.html#appliance

Dehumidifier has watt rating on nameplate.
Dehudifier has a compressor or motor load.
Many timers today are not rated for 1500Watt and 1800Watt motor load of dehumidifier.
For example Woods 59377 timer can handle 1875 watts, but timer is for incandescent only.
Woods 59366 timer is rated incandescent only. Your motor might burn up timer and be a fire hazard.
http://waterheatertimer.org/Woods-timers-and-manuals.html

1 HP is max for 1875 watt timers on 120Volt circuit.
754 Watts per HP, but the motor start-winding takes much more initial wattage with a surge of high amperage and high heat.
http://waterheatertimer.org/Woods-timers-and-manuals.html#TM12

See general HP ratings for hardwire countdown timers
http://waterheatertimer.org/Countdown-timer-horsepower-ratings.html

I'm not sure that Intermatic makes that timer for Westek and Utilitec.
Since the timer is sold at Home Depot, I suspect GE is behind the design and manufacture.

Intermatic makes heavy duty portable pump-and-motor timers for 1HP application.
http://www.poolandspacontrols.com/products/portable%20outdoor%20timers/heavy%20duty%20outdoor%20timers.aspx

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You posted under a photo that looks like Woods/Coleman cable 2001/49647 timer
See image at Amazon
http://www.amazon.com/dp/B00002NB2X/ref=asc

If this is not your timer, see all Woods timers and manuals at following link:
Add a comment any time
http://waterheatertimer.org/Woods-timers-and-manuals.html

Manual for Woods 2001-49647
http://waterheatertimer.org/pdf/Woods-2001-49647.pdf

Instructions:
Plug in timer, plug lights into timer, capacity 1875 watts
50-mini-bulb string of Christmas lights is 25 watts
Timer tuns ON automatically at dusk
Use dial to set 4 possible options:
Off = always OFF
ON - always ON
Dusk-Dawn = ON at dusk, OFF at dawn
2,4,6,8 hours = ON at dusk, lights OFF 2,4,6,8 hours later

You should beable to find the manual on the link below.

http://waterheatertimer.org/Woods-timers-and-manuals.html

See woods timers and manuals to identify your timer
add a comment any time
http://waterheatertimer.org/Woods-timers-and-manuals.html

You posted under N1507 which is 1825 watt outdoor timer
I don't have a photo for that timer
http://waterheatertimer.org/pdf/N1507-programmable-outdoor-timer-manual.pdf

1507 manual:
http://waterheatertimer.org/pdf/N1507-programmable-outdoor-timer-manual.pdf

Add a comment and let me know if these instructions are accurate