Original tone mapped image by DATMO {e=1, 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*): 38.6006
Mean of the chroma value (CIE L*a*b*): 39.3635
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 27.8377dB)

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: 2.2499
Contrast: 1.1496
Low midtone range: 1.4041
High midtone range: 32.2539
Saturation: 0.67315
Frequencies: 0.014, 0.714, 1.135, 1.097, 1.141