Original tone mapped image by iCAM06 {p=134, ct=0.5}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 41.6727
Mean of the chroma value (CIE L*a*b*): 15.5067
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 22.1411dB)

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: 0.58301
Contrast: 0.18969
Low midtone range: 2.5219
High midtone range: 1.8101
Saturation: 0.39
Frequencies: 1.573, 1.391, 1.738, 1.53, 1.648