I want to compare how effective two potential solutions are, and I have "scores" for each solution such that I can graph the effectiveness of each solution over time by graphing the scores vs time for each potential solution. I want to directly compare the two in a graph by displaying the ratio of scores between the two, but the issue I have is that graphing ratios isn't visually proportional because below 1 a ratio tends towards zero, whereas above zero a ratio tends towards infinity.
Is there any precedent for graphing some derived value more akin to:
if a / b > 1 then graph (a / b - 1) else graph (-b / a + 1)
This has the advantage of tending towards -inifity and +infinity, but I am afraid it is less intuitive to understand. Is something like this worth doing or is just graphing a direct ratio better?