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Openai/6959ed27-accc-800e-8e87-21aa81e93c07
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====================================================================== Computing reference solutions (scipy)... Benchmarking: Curvature-based (0xfaded) Benchmarking: Newton's method (standard) Benchmarking: Newton's method (improved init) Benchmarking: Bisection method ---------------------------------------------------------------------- TIMING RESULTS (lower is better) ---------------------------------------------------------------------- Method Mean Time Std Dev Min Time ---------------------------------------------------------------------- Curvature-based (0xfaded) 6.230 ms 0.086 ms 6.128 ms (1.00x vs baseline) Newton's method (standard) 5.209 ms 0.110 ms 5.129 ms (1.20x vs baseline) Newton's method (improved init) 5.427 ms 0.113 ms 5.348 ms (1.15x vs baseline) Bisection method 25.367 ms 0.340 ms 24.785 ms (0.25x vs baseline) ---------------------------------------------------------------------- ACCURACY RESULTS ---------------------------------------------------------------------- Method On Ellipse % Max Error Mean Error ---------------------------------------------------------------------- Curvature-based (0xfaded) 100.00% 4.44e-16 1.04e-16 Newton's method (standard) 100.00% 3.33e-16 6.88e-17 Newton's method (improved init) 100.00% 3.33e-16 6.88e-17 Bisection method 0.10% 8.62e+00 2.29e+00 ---------------------------------------------------------------------- ACCURACY VS REFERENCE (distance error) ---------------------------------------------------------------------- Curvature-based (0xfaded) Max: 1.35e-03 Mean: 1.60e-05 Newton's method (standard) Max: 1.50e-13 Mean: 1.65e-14 Newton's method (improved init) Max: 1.50e-13 Mean: 1.64e-14 Bisection method Max: 1.85e+02 Mean: 4.78e+01
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