m=1: F=f(b)=0.374182345504147  h(b)=1.125 (expected 1.125)  min Sc on interior grid of (a,b) = 9.93702e-168 > 0;  max m f h^(m-1) = 0.37418235 <= bound 0.5;  ok=True
m=2: F=f(b)=0.18708834562096  h(b)=1.0625 (expected 1.0625)  min Sc on interior grid of (a,b) = 3.81399e-167 > 0;  max m f h^(m-1) = 0.3974458 <= bound 0.53125;  ok=True
m=3: F=f(b)=0.124724924471187  h(b)=1.04166666666667 (expected 1.04166666666667)  min Sc on interior grid of (a,b) = 8.45175e-167 > 0;  max m f h^(m-1) = 0.40584323 <= bound 0.54253472;  ok=True
m=4: F=f(b)=0.0935434520328014  h(b)=1.03125 (expected 1.03125)  min Sc on interior grid of (a,b) = 1.49067e-166 > 0;  max m f h^(m-1) = 0.41017373 <= bound 0.5483551;  ok=True
m=6: F=f(b)=0.0623621397587014  h(b)=1.02083333333333 (expected 1.02083333333333)  min Sc on interior grid of (a,b) = 3.3268e-166 > 0;  max m f h^(m-1) = 0.41459578 <= bound 0.55429916;  ok=True
m=10: F=f(b)=0.0374172059769176  h(b)=1.0125 (expected 1.0125)  min Sc on interior grid of (a,b) = 9.17957e-166 > 0;  max m f h^(m-1) = 0.41820128 <= bound 0.55914609;  ok=True
m=50: F=f(b)=0.00748342243076304  h(b)=1.0025 (expected 1.0025)  min Sc on interior grid of (a,b) = 2.27611e-164 > 0;  max m f h^(m-1) = 0.42260984 <= bound 0.56507317;  ok=True
exp(1/8) = 1.13314845307 < 2: True
ALL PROFILE CHECKS PASSED
