A device to improve rendering efficiency comprising: a processor circuit; and a storage communicatively coupled to the processor circuit to store instructions that when executed by the processor circuit cause the processor circuit to: render a pixel from multiple samples taken of a three-dimensional model of an object, the pixel corresponding to a pixel sample data, the pixel sample data comprising multiple color storage locations that are each identified by a numeric identifier, and the pixel sample data comprising multiple sample color indices that each correspond to a sample of the multiple samples to point to at least one color storage location of the multiple color storage locations, wherein a storage component imposes a rule of order of allocation of the color storage locations, wherein the color storage locations are allocated in a particular order of allocation, wherein the rule of order of allocation of the color storage locations results in a subset of valid combinations of binary index values and results in another subset of invalid combinations of binary index values, wherein each binary index value specifies a respective numeric identifier; allocate color storage locations of the multiple color storage locations in an order selected according to the subset of valid combinations; and initialize the multiple sample color indices with binary index values that create a first invalid combination of binary index values among all of the sample color indices that indicates the pixel sample data is initialized to an uncolored state. a processor circuit; and a storage communicatively coupled to the processor circuit to store instructions that when executed by the processor circuit cause the processor circuit to: render a pixel from multiple samples taken of a three-dimensional model of an object, the pixel corresponding to a pixel sample data, the pixel sample data comprising multiple color storage locations that are each identified by a numeric identifier, and the pixel sample data comprising multiple sample color indices that each correspond to a sample of the multiple samples to point to at least one color storage location of the multiple color storage locations, wherein a storage component imposes a rule of order of allocation of the color storage locations, wherein the color storage locations are allocated in a particular order of allocation, wherein the rule of order of allocation of the color storage locations results in a subset of valid combinations of binary index values and results in another subset of invalid combinations of binary index values, wherein each binary index value specifies a respective numeric identifier; allocate color storage locations of the multiple color storage locations in an order selected according to the subset of valid combinations; and initialize the multiple sample color indices with binary index values that create a first invalid combination of binary index values among all of the sample color indices that indicates the pixel sample data is initialized to an uncolored state. render a pixel from multiple samples taken of a three-dimensional model of an object, the pixel corresponding to a pixel sample data, the pixel sample data comprising multiple color storage locations that are each identified by a numeric identifier, and the pixel sample data comprising multiple sample color indices that each correspond to a sample of the multiple samples to point to at least one color storage location of the multiple color storage locations, wherein a storage component imposes a rule of order of allocation of the color storage locations, wherein the color storage locations are allocated in a particular order of allocation, wherein the rule of order of allocation of the color storage locations results in a subset of valid combinations of binary index values and results in another subset of invalid combinations of binary index values, wherein each binary index value specifies a respective numeric identifier; allocate color storage locations of the multiple color storage locations in an order selected according to the subset of valid combinations; and initialize the multiple sample color indices with binary index values that create a first invalid combination of binary index values among all of the sample color indices that indicates the pixel sample data is initialized to an uncolored state.