APS problems: 154 method strict solved/total honest solved/total disagreements ours (shape) 153/154 2527 154/154 2337 1 ours (dissimilar) 153/154 3123 154/154 2934 1 ours (published proj) 153/154 2806 154/154 2634 1 chandrupatla 153/154 2785 154/154 2593 1 toms748 153/154 2820 154/154 2636 1 brent 153/154 2889 154/154 2707 1 itp 153/154 3957 154/154 3767 1 bisection 153/154 7530 154/154 7338 1 problems where the two criteria disagree (a root found, scored a failure): ours (shape) aps.13.00 x=+0.008638489218 root=+0 f(x)=+0.000e+00 after 10 evals ours (dissimilar) aps.13.00 x=+0.0248491106 root=+0 f(x)=+0.000e+00 after 11 evals ours (published proj) aps.13.00 x=-0.01020453457 root=+0 f(x)=+0.000e+00 after 28 evals chandrupatla aps.13.00 x=-0.008282706313 root=+0 f(x)=+0.000e+00 after 8 evals toms748 aps.13.00 x=-0.0002236853352 root=+0 f(x)=+0.000e+00 after 16 evals brent aps.13.00 x=+0.0154213326 root=+0 f(x)=+0.000e+00 after 18 evals itp aps.13.00 x=+0.03079215104 root=+0 f(x)=+0.000e+00 after 10 evals bisection aps.13.00 x=+0.015625 root=+0 f(x)=+0.000e+00 after 8 evals problems no method solved under the strict rule: aps.13.00 solved by 0 of 8 methods aps.01.00 solved by 8 of 8 methods aps.02.00 solved by 8 of 8 methods aps.02.01 solved by 8 of 8 methods aps.02.02 solved by 8 of 8 methods aps.02.03 solved by 8 of 8 methods diagnosis of aps.13.00: bracket [-1, 4] declared root 0 f(a)=-3.678794e-01 f(b)=+3.757652e+00 f(root)=+0.000000e+00 f(root+1e-12) = +0.000000e+00 f(root-1e-12) = +0.000000e+00 f(root+1e-09) = +0.000000e+00 f(root-1e-09) = +0.000000e+00 f(root+1e-06) = +0.000000e+00 f(root-1e-06) = +0.000000e+00 f(root+0.001) = +0.000000e+00 f(root-0.001) = +0.000000e+00 ours returns x=+0.0248491106033 after 11 evals, f(x)=+0.000e+00, |x-root|=0.0248 |f(x)| below smallest normal? True