Some time ago, before the new PA board, we had a discussion about the best
way to extract the "turn" time from the E1 and E2 pace figures.
I ended up creating a small program that uses 3 different formulas, including
one that I use in EquiSim as a demonstration of the various methods. You
can download this program below.

The program was just thrown together,
and it is not very pretty to look at. This program is provided "as
is" with NO warranties whatsoever for suitability of any purpose of any
kind.

**Installation**: Download the .zip file here on this web site.
Extract the .exe from the zip file (unzip it). That's all you need to do to
install the program.

Download E1E2.zip
program.

**How it Works:**

1. Use the file menu to open a card. The program will open TSN and BRIS data
files (single file format). Sorry, you have to unzip them before opening them.

2. All of the races will be listed in the view, with all of the horses
beneath each race, with all of their past performances.

3. The Columns are:

**F1, F2, F3, Final** -- fractions and final time, in total seconds.

**E1, E2, Late, Speed** -- pace and speed figures.

**F1/F2 Ratio** -- First fraction divided by second fraction

**"Formula Name"** -- the E1E2 pace figure (Turn Time?) as
determined by the currently selected formula.

3. If **memory serves**, the fractions you see are converted into HORSE
fractions, not race fractions

4. Use the buttons on the toolbar to select which formula you want to use to
extract the E1E2 pace figure from the E1 and E2 figures.

**Split Times** Shows the fractions as splints instead of running times

**E1 * R: **This formula takes the E1 pace figure and multiplies it by the
F1/F2 ratio.

**E2 * R: **This formula takes the E2 pace figure and multiplies it by the
F1/F2 ratio.

**E2 + (E2 - A) (**E2 + (E2 -(E1+E2) / 2))): This formula takes the E2
time and adds to it the difference between the E2 time and the average of the E1
and E2 times (E1 + E2 / 2).

5. What Works?

Here's an example of a pace line:

Dist 5.5 fur

Split Times

F1 F2
E1 E2

22.3
23.5(45.8)
92 98

R = F1/F2 = 22.3 / 23.5 = 0.948

Before going further with the math -- a Question: How is the E2
composite a number greater than E1, but the ratio of F1/F2 shows a slow down in
the E1E2 portion of the race? That is -- E2 is 98, it represents the time to the
4 furlongs. E1 is 92, it represents the time the first quarter was run in.
The first quarter was run **faster** than the second quarter (22.3 vs. 23.5),
yet the E2 figure is greater than the E1 figure. Makes you scratch your
head, doesn't it. Perhaps the E2 is generated on pars for four furlongs in
this case, while E2 is generated on pars for two furlongs. So be it --
despite a slow down in actual running speed, the E2 figure, which represents
time to the 4 furlong mark in this race, is greater than the E1 figure. This
indicates that, despite the fact that it took longer to run the 2nd quarter of
the race, we need a formula that will extract an "E1E2" pace figure
that is greater than the E1 figure. It must be large enough to show an increase
between the quarter and the half that warrants an E2 figure greater than the E1
figure.

Here are the formulas in action:

E1 * R = "E1E2" figure <> 92 * .948 = 87.216

This figure is too low - it doesn't account for the *increase*d E2
figure. It is lower than the E1 figure.

E2 * R = "E1E2" figure <> 98 * .948 = 92.904

This figure is greater than the first we arrived at, but still not enough...

And the other method:

A = 92 + 98 / 2 = 95 //average of the two figures

E2 +(E2-A) = 98 + 98 - 95 = 101

Here the "E2E1" figure is 101, which is significantly higher than
the E1 fig of 92, and higher than the E2 fig of 98.

-Nathan (aka, Handle)