8.770 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.040 * [taylor]: Taking taylor expansion of 1/2 in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of 1/2 in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.075 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.075 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * [progress]: simplifying candidates 0.103 * [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)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.110 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.114 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.123 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.158 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.159 * [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)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.159 * * * [progress]: adding candidates to table 0.225 * * [progress]: iteration 2 / 4 0.225 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.228 * * * [progress]: localizing error 0.229 * * * [progress]: generating rewritten candidates 0.229 * * * [progress]: generating series expansions 0.229 * * * [progress]: simplifying candidates 0.229 * [simplify]: Simplifying using # : 0.232 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.232 * [simplify]: Simplified to: 0.232 * * * [progress]: adding candidates to table 0.232 * * [progress]: iteration 3 / 4 0.232 * * * [progress]: picking best candidate 0.234 * * * * [pick]: Picked # 0.234 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * [progress]: generating series expansions 0.236 * * * [progress]: simplifying candidates 0.236 * [simplify]: Simplifying using # : 0.238 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.238 * [simplify]: Simplified to: 0.238 * * * [progress]: adding candidates to table 0.239 * * [progress]: iteration 4 / 4 0.239 * * * [progress]: picking best candidate 0.240 * * * * [pick]: Picked # 0.240 * * * [progress]: localizing error 0.240 * * * [progress]: generating rewritten candidates 0.240 * * * [progress]: generating series expansions 0.240 * * * [progress]: simplifying candidates 0.240 * [simplify]: Simplifying using # : 0.243 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.243 * [simplify]: Simplified to: 0.243 * * * [progress]: adding candidates to table 0.243 * [progress]: [Phase 3 of 3] Extracting. 0.243 * * [regime]: Finding splitpoints for: (# # # #) 0.243 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.243 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.261 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.275 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.293 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.305 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.323 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # #) 0.343 * * * * [regimes]: Trying to branch on y from (# # # #) 0.375 * * * * [regimes]: Trying to branch on x from (# # # #) 0.420 * * * [regime]: Found split indices: #