9.971 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.016 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.016 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.016 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of 0 in y 0.030 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.030 * [taylor]: Taking taylor expansion of 1/2 in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of 1/2 in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.062 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.065 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.068 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.072 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.081 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.108 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.194 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.194 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.194 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 2 / 4 0.235 * * * [progress]: picking best candidate 0.240 * * * * [pick]: Picked # 0.240 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.254 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.258 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.265 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.268 * [taylor]: Taking taylor expansion of 1/2 in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of 1 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of 1/2 in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.299 * [taylor]: Taking taylor expansion of 1/2 in y 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.304 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.307 * [taylor]: Taking taylor expansion of 1/2 in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of 1 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of 1/2 in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.340 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.340 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of (* 3/2 y) in y 0.344 * [taylor]: Taking taylor expansion of 3/2 in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 y)) in y 0.351 * [taylor]: Taking taylor expansion of 3/8 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of 3/2 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow y 4))) in y 0.383 * [taylor]: Taking taylor expansion of 3/8 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.409 * [taylor]: Taking taylor expansion of 3/2 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow y 4))) in y 0.418 * [taylor]: Taking taylor expansion of 3/8 in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.430 * * * [progress]: simplifying candidates 0.432 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt 1) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3)) (cbrt (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3)) (cbrt (pow (sqrt (- (* x x) (* y y))) 3)) (* (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (* (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (log (sqrt (+ (* x x) (* y y)))) 3) (* (log (sqrt (+ (* x x) (* y y)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) (* y y))) (sqrt 3)) (pow (sqrt (+ (* x x) (* y y))) 1) (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow 1 3) (pow (sqrt (+ (* x x) (* y y))) 3) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (exp (pow (sqrt (+ (* x x) (* y y))) 3)) (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (* (* (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow 1 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (/ 3 2) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) (/ 3 2)) (pow (sqrt (+ (* x x) (* y y))) (/ 3 2)) y x (* -1 x) y x (* -1 x) (+ (* 3/2 (* (pow x 2) y)) (pow y 3)) (+ (* 3/2 (* x (pow y 2))) (pow x 3)) (- (+ (* 3/2 (* x (pow y 2))) (pow x 3))) 0.438 * * [simplify]: iteration 0 : 256 enodes (cost 566 ) 0.444 * * [simplify]: iteration 1 : 979 enodes (cost 544 ) 0.469 * * [simplify]: iteration 2 : 5002 enodes (cost 534 ) 0.472 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (log (pow (sqrt (+ (* x x) (* y y))) 3)) 3/2 3 3/2 (pow (sqrt (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) (* y y))) (sqrt 3)) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (fabs (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (+ (* x x) (* y y)) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (exp (pow (sqrt (+ (* x x) (* y y))) 3)) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (pow (sqrt (+ (* x x) (* y y))) 3) 3) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (fabs (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (+ (* x x) (* y y)) 3/2 (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) y x (* -1 x) y x (* -1 x) (+ (* 3/2 (* (pow x 2) y)) (pow y 3)) (+ (* 3/2 (* x (pow y 2))) (pow x 3)) (- (+ (* 3/2 (* x (pow y 2))) (pow x 3))) 0.473 * * * [progress]: adding candidates to table 0.607 * * [progress]: iteration 3 / 4 0.607 * * * [progress]: picking best candidate 0.611 * * * * [pick]: Picked # 0.611 * * * [progress]: localizing error 0.613 * * * [progress]: generating rewritten candidates 0.613 * * * [progress]: generating series expansions 0.613 * * * [progress]: simplifying candidates 0.613 * [simplify]: Simplifying using # : 0.615 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.615 * [simplify]: Simplified to: 0.615 * * * [progress]: adding candidates to table 0.616 * * [progress]: iteration 4 / 4 0.616 * * * [progress]: picking best candidate 0.619 * * * * [pick]: Picked # 0.619 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.620 * * * [progress]: generating series expansions 0.620 * * * [progress]: simplifying candidates 0.620 * [simplify]: Simplifying using # : 0.623 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.623 * [simplify]: Simplified to: 0.623 * * * [progress]: adding candidates to table 0.624 * [progress]: [Phase 3 of 3] Extracting. 0.624 * * [regime]: Finding splitpoints for: (# # # # # #) 0.624 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.624 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.650 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.672 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 0.693 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.705 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 0.732 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.743 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 0.774 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 0.790 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.835 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.877 * * * [regime]: Found split indices: #