TI-36X Pro—Replace the batteries or just get a new one?
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01-19-2019, 09:37 PM
Post: #49
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RE: TI-36X Pro—Replace the batteries or just get a new one?
I've done a few speed comparisons between the TI-30X Pro MathPrint, the TI-36X Pro (or TI-30X Pro MultiView), and one of their greatest rivals, the Casio fx-991EX ClassWiz.
For a measurement technique, I basically filmed the calculations on my phone and measured the time using video editing software. There is a little bit of wiggle room because the calculator screens take some time to refresh, but I estimate my timings to be accurate to about ±0.1s.
Test 1 - classic summation based benchmark
This is the classic summation based benchmark from http://www.hpmuseum.org/forum/thread-9750.html with n=1000. \[ \sum_{x=1}^{1000} \sqrt[3]{e^{\sin(\tan^{-1}(x))}} \\ \begin{array}{c|r} \text{Model} & \text{Time (s)} \\ \hline \text{TI-30X Pro MP} & 103.7 \\ \text{TI-36X Pro} & 257.9 \\ \text{Casio fx-991EX} & 106.9 \end{array} \] Test 2 - Eddie Shore's \(x^{-2}\) summation test This is a summation test from Eddie's speed test video: https://youtu.be/39tcSQBakMo?t=156 \[ \sum_{x=1}^{500} x^{-2} \\ \\ \begin{array}{c|r} \text{Model} & \text{Time (s)} \\ \hline \text{TI-30X Pro MP} & 19.6 \\ \text{TI-36X Pro} & 37.4 \\ \text{Casio fx-991EX} & 22.4 \end{array} \] Test 3 - Eddie Shore's numeric solver test This is a numeric solver test from Eddie's speed test video: https://youtu.be/39tcSQBakMo?t=109 \[ \text{Solve}\ e^x + .2x^3 = 3\ \text{for}\ x \text{.} \\ \text{Initial guess:}\ x=10 \text{.} \\ \\ \begin{array}{c|r} \text{Model} & \text{Time (s)} \\ \hline \text{TI-30X Pro MP} & 1.7 \\ \text{TI-36X Pro} & 5.5 \\ \text{Casio fx-991EX} & 1.6 \end{array} \] Test 4 - Eddie Shore's \( \frac{\sin(x)}{x} \) integration test This is an integration test from Eddie's speed test video: https://youtu.be/39tcSQBakMo?t=11 Note that the actual test that Eddie ran (and repeated by me) has a different upper limit than that shown on the slide. \[ \int_{.001}^{.6} \frac{\sin(x)}{x} dx \\ \\ \begin{array}{c|r} \text{Model} & \text{Time (s)} \\ \hline \text{TI-30X Pro MP} & 0.9 \\ \text{TI-36X Pro} & 3.0 \\ \text{Casio fx-991EX} & 0.9 \end{array} \] Test 5 - Eddie Shore's \( e^{-x} \) integration test This is another integration test from Eddie's speed test video: https://youtu.be/39tcSQBakMo?t=38 \[ \int_0^{100} e^{-x} dx \\ \\ \begin{array}{c|r} \text{Model} & \text{Time (s)} \\ \hline \text{TI-30X Pro MP} & 2.5 \\ \text{TI-36X Pro} & 5.7 \\ \text{Casio fx-991EX} & 3.4 \end{array} \] Test 6 - VBlogMag's \( e^{x^3} \) integration test This is an integration test from VBlogMag's calculator benchmark video: https://youtu.be/DHRsvSTGiBc?t=584 \[ \int_0^6 e^{x^3} dx \\ \\ \begin{array}{c|r} \text{Model} & \text{Time (s)} \\ \hline \text{TI-30X Pro MP} & 8.6 \\ \text{TI-36X Pro} & 89.3 \\ \text{Casio fx-991EX} & 24.4 \end{array} \] Conclusion On the whole, the TI-30X Pro MathPrint is significantly faster than its predecessor (as expected), and slightly faster than the rival Casio fx-991EX in most tests. The result from VBlogMag's integration test has a surprisingly fast time for the TI-30X Pro MathPrint (compared to the other two calculators), but I double checked it. (The TI integration tests were performed using their default epsilon setting.) — Ian Abbott |
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