Why does graphicsmagick enlarge the image size when rotating it, but imagemagick does not?

Question

GraphicsMagick command as below:

    convert cute_dog.jpg -rotate 90 -quality 92 cute_dog_rotate_gm.jpg

ImageMagick command as below:

    convert cute_dog.jpg -rotate 90 -quality 92 cute_dog_rotate.jpg

Q: How to reduce the file generated by GraphicsMagick?

image_link