{ "schema_version": 1, "experiment": "course-01/density", "model_sha256": "08749c6bad11f2400256c717e8571a34514635d3888ead6f7751a12611659ebf", "validator_sha256": "817f8b1b23910fd1af602dbd8af23883ec37619b225dc2147e8e05c017247178", "environment": { "python": "3.14.7", "numpy": "2.5.4", "scipy": "1.18.1" }, "method": "solid: solve force-equilibrium nonlinear equations; liquid: independent volume linear solve; derivatives: symmetric finite differences", "tolerances": { "inverse_relative": 1e-09, "derivative_scaled": 5e-07 }, "case_count": 54, "status": "passed", "failures": [], "cases": [ { "kind": "solid", "inputs": [ 1.1, 0.1100000000000001, 0.99 ], "reference_density_volume": [ 1.1, 1.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 9.647922460011658e-11 }, { "kind": "solid", "inputs": [ 1.1, 0.10221000000000013, 0.99779 ], "reference_density_volume": [ 1.0999999999999999, 1.0 ], "max_inverse_relative_error": 2.0185873175002848e-16, "max_derivative_scaled_error": 9.536787036946482e-11 }, { "kind": "solid", "inputs": [ 1.1, 0.0950000000000002, 1.005 ], "reference_density_volume": [ 1.1, 1.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.0495722169064753e-10 }, { "kind": "solid", "inputs": [ 6.237, 0.6237000000000004, 0.99 ], "reference_density_volume": [ 1.1, 5.67 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.343285482864612e-11 }, { "kind": "solid", "inputs": [ 6.237, 0.5795307000000003, 0.99779 ], "reference_density_volume": [ 1.1, 5.67 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 9.712203263845254e-12 }, { "kind": "solid", "inputs": [ 6.237, 0.5386500000000005, 1.005 ], "reference_density_volume": [ 1.1, 5.67 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 8.914424753925232e-12 }, { "kind": "solid", "inputs": [ 22.0, 2.1999999999999993, 0.99 ], "reference_density_volume": [ 1.0999999999999999, 20.0 ], "max_inverse_relative_error": 2.0185873175002848e-16, "max_derivative_scaled_error": 4.4011461142190456e-12 }, { "kind": "solid", "inputs": [ 22.0, 2.0442, 0.99779 ], "reference_density_volume": [ 1.0999999999999999, 20.000000000000004 ], "max_inverse_relative_error": 2.0185873175002848e-16, "max_derivative_scaled_error": 5.338240185275123e-12 }, { "kind": "solid", "inputs": [ 22.0, 1.9000000000000021, 1.005 ], "reference_density_volume": [ 1.1, 20.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 8.569551129244187e-12 }, { "kind": "solid", "inputs": [ 7.9, 6.91, 0.99 ], "reference_density_volume": [ 7.900000000000003, 0.9999999999999996 ], "max_inverse_relative_error": 6.661338147750939e-16, "max_derivative_scaled_error": 6.373679731474145e-09 }, { "kind": "solid", "inputs": [ 7.9, 6.90221, 0.99779 ], "reference_density_volume": [ 7.899999999999999, 1.0000000000000002 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.273653134074032e-09 }, { "kind": "solid", "inputs": [ 7.9, 6.8950000000000005, 1.005 ], "reference_density_volume": [ 7.900000000000002, 0.9999999999999998 ], "max_inverse_relative_error": 2.248552961266139e-16, "max_derivative_scaled_error": 6.183501465682417e-09 }, { "kind": "solid", "inputs": [ 44.793, 39.1797, 0.99 ], "reference_density_volume": [ 7.899999999999996, 5.670000000000003 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.368042703335622e-09 }, { "kind": "solid", "inputs": [ 44.793, 39.1355307, 0.99779 ], "reference_density_volume": [ 7.899999999999995, 5.669999999999999 ], "max_inverse_relative_error": 6.265808957320108e-16, "max_derivative_scaled_error": 6.267965478050994e-09 }, { "kind": "solid", "inputs": [ 44.793, 39.09465, 1.005 ], "reference_density_volume": [ 7.900000000000002, 5.669999999999998 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.179404258296314e-09 }, { "kind": "solid", "inputs": [ 158.0, 138.2, 0.99 ], "reference_density_volume": [ 7.899999999999994, 20.000000000000014 ], "max_inverse_relative_error": 2.2485529612661415e-16, "max_derivative_scaled_error": 2.219853134644012e-09 }, { "kind": "solid", "inputs": [ 158.0, 138.0442, 0.99779 ], "reference_density_volume": [ 7.899999999999991, 20.000000000000025 ], "max_inverse_relative_error": 7.105427357600993e-16, "max_derivative_scaled_error": 2.1659644633409414e-09 }, { "kind": "solid", "inputs": [ 158.0, 137.9, 1.005 ], "reference_density_volume": [ 7.900000000000004, 19.99999999999999 ], "max_inverse_relative_error": 3.5527136788005026e-16, "max_derivative_scaled_error": 2.117502395648785e-09 }, { "kind": "solid", "inputs": [ 12.0, 11.01, 0.99 ], "reference_density_volume": [ 11.99999999999999, 1.0000000000000009 ], "max_inverse_relative_error": 7.401486830834383e-16, "max_derivative_scaled_error": 1.4698885859548866e-08 }, { "kind": "solid", "inputs": [ 12.0, 11.00221, 0.99779 ], "reference_density_volume": [ 11.999999999999993, 1.0000000000000009 ], "max_inverse_relative_error": 6.661338147750933e-16, "max_derivative_scaled_error": 1.447010652439335e-08 }, { "kind": "solid", "inputs": [ 12.0, 10.995000000000001, 1.005 ], "reference_density_volume": [ 12.000000000000025, 0.9999999999999978 ], "max_inverse_relative_error": 1.3322676295501878e-15, "max_derivative_scaled_error": 1.4264094555610272e-08 }, { "kind": "solid", "inputs": [ 68.03999999999999, 62.42669999999999, 0.99 ], "reference_density_volume": [ 12.000000000000002, 5.669999999999993 ], "max_inverse_relative_error": 1.7230974632630318e-15, "max_derivative_scaled_error": 1.4682248449405956e-08 }, { "kind": "solid", "inputs": [ 68.03999999999999, 62.38253069999999, 0.99779 ], "reference_density_volume": [ 11.999999999999988, 5.670000000000005 ], "max_inverse_relative_error": 4.699356717990076e-16, "max_derivative_scaled_error": 1.4453997689534527e-08 }, { "kind": "solid", "inputs": [ 68.03999999999999, 62.341649999999994, 1.005 ], "reference_density_volume": [ 11.999999999999993, 5.669999999999998 ], "max_inverse_relative_error": 7.401486830834381e-16, "max_derivative_scaled_error": 1.424650637565293e-08 }, { "kind": "solid", "inputs": [ 240.0, 220.2, 0.99 ], "reference_density_volume": [ 11.999999999999998, 20.000000000000004 ], "max_inverse_relative_error": 4.440892098500627e-16, "max_derivative_scaled_error": 8.168290932530908e-09 }, { "kind": "solid", "inputs": [ 240.0, 220.0442, 0.99779 ], "reference_density_volume": [ 11.999999999999988, 20.00000000000002 ], "max_inverse_relative_error": 5.329070518200745e-16, "max_derivative_scaled_error": 7.973348092882304e-09 }, { "kind": "solid", "inputs": [ 240.0, 219.9, 1.005 ], "reference_density_volume": [ 12.000000000000014, 19.99999999999998 ], "max_inverse_relative_error": 1.0362081563168115e-15, "max_derivative_scaled_error": 7.797862688896373e-09 }, { "kind": "liquid", "inputs": [ 5.0, 9.988949999999999, 7.5, 0.99779 ], "reference_density_volume": [ 0.5000000000000001, 4.999999999999999 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 3.954185590071546e-11 }, { "kind": "liquid", "inputs": [ 31.63, 36.61895, 34.129999999999995, 0.99779 ], "reference_density_volume": [ 0.4999999999999994, 4.999999999999999 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 5.397404329032796e-10 }, { "kind": "liquid", "inputs": [ 100.0, 104.98895, 102.5, 0.99779 ], "reference_density_volume": [ 0.4999999999999997, 5.000000000000003 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 4.438021242170187e-09 }, { "kind": "liquid", "inputs": [ 5.0, 20.96464, 13.0, 0.99779 ], "reference_density_volume": [ 0.5, 16.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 5.424098670214761e-12 }, { "kind": "liquid", "inputs": [ 31.63, 47.59464, 39.629999999999995, 0.99779 ], "reference_density_volume": [ 0.4999999999999998, 16.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 2.797354708983235e-11 }, { "kind": "liquid", "inputs": [ 100.0, 115.96464, 108.0, 0.99779 ], "reference_density_volume": [ 0.4999999999999999, 16.000000000000004 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.651475622921339e-10 }, { "kind": "liquid", "inputs": [ 5.0, 54.8895, 30.0, 0.99779 ], "reference_density_volume": [ 0.5, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 2.4227286843370166e-12 }, { "kind": "liquid", "inputs": [ 31.63, 81.5195, 56.629999999999995, 0.99779 ], "reference_density_volume": [ 0.49999999999999994, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 5.1981752235974454e-12 }, { "kind": "liquid", "inputs": [ 100.0, 149.8895, 125.0, 0.99779 ], "reference_density_volume": [ 0.5, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 9.025996963729632e-12 }, { "kind": "liquid", "inputs": [ 5.0, 9.988949999999999, 10.4, 0.99779 ], "reference_density_volume": [ 1.0800000000000003, 4.999999999999999 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 8.689976516151887e-11 }, { "kind": "liquid", "inputs": [ 31.63, 36.61895, 37.03, 0.99779 ], "reference_density_volume": [ 1.0800000000000005, 4.999999999999999 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.1662088239550172e-09 }, { "kind": "liquid", "inputs": [ 100.0, 104.98895, 105.4, 0.99779 ], "reference_density_volume": [ 1.0800000000000005, 5.000000000000003 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 9.586100274683318e-09 }, { "kind": "liquid", "inputs": [ 5.0, 20.96464, 22.28, 0.99779 ], "reference_density_volume": [ 1.08, 16.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.6527919921844937e-11 }, { "kind": "liquid", "inputs": [ 31.63, 47.59464, 48.91, 0.99779 ], "reference_density_volume": [ 1.0799999999999998, 16.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.03948557831302e-11 }, { "kind": "liquid", "inputs": [ 100.0, 115.96464, 117.28, 0.99779 ], "reference_density_volume": [ 1.0799999999999998, 16.000000000000004 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 3.567895839884372e-10 }, { "kind": "liquid", "inputs": [ 5.0, 54.8895, 59.0, 0.99779 ], "reference_density_volume": [ 1.08, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.27079555364132e-12 }, { "kind": "liquid", "inputs": [ 31.63, 81.5195, 85.63, 0.99779 ], "reference_density_volume": [ 1.08, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.27079555364132e-12 }, { "kind": "liquid", "inputs": [ 100.0, 149.8895, 154.0, 0.99779 ], "reference_density_volume": [ 1.08, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.9448748167505414e-11 }, { "kind": "liquid", "inputs": [ 5.0, 9.988949999999999, 12.5, 0.99779 ], "reference_density_volume": [ 1.5000000000000002, 4.999999999999999 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.2001494242852573e-10 }, { "kind": "liquid", "inputs": [ 31.63, 36.61895, 39.129999999999995, 0.99779 ], "reference_density_volume": [ 1.4999999999999996, 4.999999999999999 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.6194484642184648e-09 }, { "kind": "liquid", "inputs": [ 100.0, 104.98895, 107.5, 0.99779 ], "reference_density_volume": [ 1.4999999999999991, 5.000000000000003 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.3314010838261225e-08 }, { "kind": "liquid", "inputs": [ 5.0, 20.96464, 29.0, 0.99779 ], "reference_density_volume": [ 1.5, 16.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 1.5345544279732337e-11 }, { "kind": "liquid", "inputs": [ 31.63, 47.59464, 55.629999999999995, 0.99779 ], "reference_density_volume": [ 1.4999999999999998, 16.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 8.392060657502753e-11 }, { "kind": "liquid", "inputs": [ 100.0, 115.96464, 124.0, 0.99779 ], "reference_density_volume": [ 1.4999999999999998, 16.000000000000004 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 4.955144905505193e-10 }, { "kind": "liquid", "inputs": [ 5.0, 54.8895, 80.0, 0.99779 ], "reference_density_volume": [ 1.5, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 6.681178996759359e-12 }, { "kind": "liquid", "inputs": [ 31.63, 81.5195, 106.63, 0.99779 ], "reference_density_volume": [ 1.5, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 8.177732796488257e-12 }, { "kind": "liquid", "inputs": [ 100.0, 149.8895, 175.0, 0.99779 ], "reference_density_volume": [ 1.5, 50.0 ], "max_inverse_relative_error": 0.0, "max_derivative_scaled_error": 2.7040952810253316e-11 } ] }