Single-ISA heterogeneous systems, such as ARM's big.LITTLE, use microarchitecturally-different General-Purpose Processor cores to efficiently match the capabilities of the processing resources with applications' performance and energy requirements that change at run time. However, since only a fixed and non-configurable set of cores is available, reaching the best-possible match between the available resources and applications' requirements remains a challenge, especially considering the varying and unpredictable workloads. In this work, we propose TransRec, a hardware architecture which improves over these traditional heterogeneous designs. TransRec integrates a shared, transparent (i.e., no need to change application binary) and adaptive accelerator in the form of a Coarse-Grained Reconfigurable Array that can be used by any of the General-Purpose Processor cores for on-demand acceleration. Through evaluations with cycle-accurate gem5 simulations, synthesis of real RISC-V processor designs for a 15nm technology, and considering the effects of Dynamic Voltage and Frequency Scaling, we demonstrate that TransRec provides better performance-energy tradeoffs that are otherwise unachievable with traditional big.LITTLE-like designs. In particular, for less than 40% area overhead, TransRec can improve performance in the low-energy mode (LITTLE) by 2.28×, and can improve both performance and energy efficiency by 1.32× and 1.59×, respectively, in high-performance mode (big).