We investigate the value of future dark energy experiments by modeling theirability to constrain the dark energy equation of state. Similar work wasrecently reported by the Dark Energy Task Force (DETF) using a two dimensionalparameterization of the equation of state evolution. We examine constraints ina nine dimensional dark-energy parameterization, and find that the bestexperiments constrain significantly more than two dimensions in our 9D space.Consequently the impact of these experiments is substantially beyond thatrevealed in the DETF analysis, and the estimated cost per ``impact'' drops byabout a factor of ten as one moves to the very best experiments. The DETFconclusions about the relative value of different techniques and of theimportance of combining techniques are unchanged by our analysis.
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