The tf.matmul() op does not perform automatic type conversions, so both of its inputs must have the same element type. The error message you are seeing indicates that you have a call to tf.matmul() where the first argument has type tf.float32, and the second argument has type tf.float64. You must convert one of the inputs to match the other, for example using tf.cast(x, tf.float32).
Looking at your code, I don’t see anywhere that a tf.float64 tensor is explicitly created (the default dtype for floating-point values in the TensorFlow Python API—e.g. for tf.constant(37.0)—is tf.float32). I would guess that the errors are caused by the np.loadtxt(filename) calls, which might be loading an np.float64 array. You can explicitly change them to load np.float32 arrays (which are converted to tf.float32 tensors) as follows:
initial = np.loadtxt(filename).astype(np.float32)