Original tone mapped image by DATMO {e=1, c=0.6}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 37.3943
Mean of the chroma value (CIE L*a*b*): 18.0414
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 41.0288dB)

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: 2.2253
Contrast: 1.3935
Low midtone range: 1.4348
High midtone range: 0.58124
Saturation: 0.28893
Frequencies: -0.001, 0.622, 0.998, 1.007, 0.997