Embodiments described herein relate to compression and decompression of data consisting of a one dimensional time series of floating point numbers. A compressor may comprise a lossless stage and in some embodiments a lossy stage in addition to the lossless stage. The lossy stage quantizes the data by discarding some of the least significant bits as specified by the user. The lossless stage uses a context mixing algorithm with two bit-wise predictive models whose predictions are combined and fed to an arithmetic coder. One model is a direct context model using the most significant bits of prior numeric samples as context. The other model is the output of an adaptive filter, in which the approximate predicted numeric value is used as context to model the actual value. A corresponding decompressor uses the same lossless model with the arithmetic coder replaced by an arithmetic decoder.