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*): 21.6695
Mean of the chroma value (CIE L*a*b*): 13.8374
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 29.5073dB)

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: 0.58352
Contrast: 2.619
Low midtone range: 0.88639
High midtone range: 1.1117
Saturation: 0.57189
Frequencies: 0.771, 0.953, 0.989, 0.99, 0.985