emisions of light and heat from a light bulb

For my A2 physics courswork i'm studying the emisions of different lightbulbs. :confused:

From my experiments i found that a hologen bulb heated water to a higher temperature than a incandescent. So it has a hotter filamet.

I also found that the halogen bulb let off more intense light which seems to be because of more higher ferquency/energy light.

How can this work when they both let out the same amount of energy?

I thought that the efficiency depended on how much heat energy was given off (is heat energy just infrared)and the rest was visable light. Is this not right? does the light energy come from heat energy from the bulb?

I would be gratefull for any comments. ty