Sounds like wiper relay is freaking and its time to change that. Its easy and cheap fix.
Cadillac BLS Engine Compartment Relay Center is located next to the battery on the driver’s side of the engine. The following schematic will guide you understand your Cadillac Engine Compartment Relay/Fuse.
1. Secondary air injection
2. Fan control relay
3. Auxiliary water pump
4. Windshield wiper motor
5. A/C compressor relay
6. Fan control relay
7. Fan control relay
8. Fuse 50
9. Fan control relay
10. Engine controls power relay
15. Fuse 40 (A), Fuse 52(
17. Coolant fan test connector fan control
18. Fuse 42 (A). Fuse 49 (
19. Fan control relay
20. Fuel pump relay
29. Fuse 43