Original tone mapped image by DATMO {e=3, c=1.8}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 9.5249
Mean of the chroma value (CIE L*a*b*): 14.6055
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 28.505dB)

Fitted tone curve of the generic tone mapping operator,
compared to the luminance compression done by the tone mapping operator:

Fitted parameters of the generic tmo:

Exposure: 0.68108
Contrast: 0.97924
Low midtone range: 1.4479
High midtone range: 2.0769
Saturation: 0.49954
Frequencies: -0.177, 0.734, 1.014, 1.033, 1.038