34.581 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: Extracting # 3 : cost 0 0.031 * * [simplify]: Extracting # 4 : cost 0 0.031 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: Extracting # 1 : cost 0 0.032 * * [simplify]: Extracting # 2 : cost 0 0.032 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.052 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: Extracting # 3 : cost 0 0.052 * * [simplify]: iteration 4 : 113 enodes (cost 7 ) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: Extracting # 1 : cost 0 0.076 * * [simplify]: Extracting # 2 : cost 0 0.076 * * [simplify]: Extracting # 3 : cost 0 0.076 * * [simplify]: iteration 5 : 194 enodes (cost 7 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: Extracting # 1 : cost 0 0.110 * * [simplify]: iteration 6 : 214 enodes (cost 7 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: iteration 7 : 220 enodes (cost 7 ) 0.155 * * [simplify]: Extracting # 0 : cost 0 0.155 * * [simplify]: iteration done: 220 enodes (cost 7 ) 0.155 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.155 * * [progress]: iteration 1 / 4 0.155 * * * [progress]: picking best candidate 0.157 * * * * [pick]: Picked # 0.157 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.218 * * * [progress]: generating series expansions 0.218 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.218 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.218 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.218 * [taylor]: Taking taylor expansion of (+ x y) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [backup-simplify]: Simplify x into x 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ x 0) into x 0.219 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.219 * [taylor]: Taking taylor expansion of (+ x y) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [backup-simplify]: Simplify y into y 0.219 * [backup-simplify]: Simplify (+ 0 y) into y 0.219 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.219 * [taylor]: Taking taylor expansion of (+ x y) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [backup-simplify]: Simplify y into y 0.219 * [backup-simplify]: Simplify (+ 0 y) into y 0.219 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.220 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.220 * [taylor]: Taking taylor expansion of 2 in y 0.220 * [backup-simplify]: Simplify 2 into 2 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 2 0) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.222 * [backup-simplify]: Simplify 2 into 2 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.223 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.223 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.224 * [backup-simplify]: Simplify x into x 0.224 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [backup-simplify]: Simplify y into y 0.224 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.225 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [backup-simplify]: Simplify y into y 0.225 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (* 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of 1 in y 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.227 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 2 1) into 2 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.232 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.232 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [backup-simplify]: Simplify x into x 0.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [backup-simplify]: Simplify y into y 0.234 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.236 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.236 * [taylor]: Taking taylor expansion of 2 in y 0.236 * [backup-simplify]: Simplify 2 into 2 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 2 1) into 2 0.240 * [backup-simplify]: Simplify 2 into 2 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.240 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.242 * * [simplify]: Extracting # 0 : cost 0 0.242 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.243 * * [simplify]: Extracting # 3 : cost 0 0.243 * * [simplify]: Extracting # 4 : cost 0 0.243 * * [simplify]: Extracting # 5 : cost 0 0.243 * * [simplify]: Extracting # 6 : cost 0 0.243 * * [simplify]: Extracting # 7 : cost 0 0.243 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.268 * * [simplify]: Extracting # 0 : cost 0 0.268 * * [simplify]: Extracting # 1 : cost 0 0.269 * * [simplify]: Extracting # 2 : cost 0 0.269 * * [simplify]: Extracting # 3 : cost 0 0.270 * * [simplify]: Extracting # 4 : cost 0 0.270 * * [simplify]: iteration 1 : 226 enodes (cost 453 ) 0.439 * * [simplify]: Extracting # 0 : cost 0 0.442 * * [simplify]: Extracting # 1 : cost 0 0.445 * * [simplify]: Extracting # 2 : cost 0 0.448 * * [simplify]: Extracting # 3 : cost 0 0.453 * * [simplify]: iteration 2 : 1687 enodes (cost 407 ) 1.159 * * [simplify]: Extracting # 0 : cost 0 1.177 * * [simplify]: Extracting # 1 : cost 0 1.188 * * [simplify]: Extracting # 2 : cost 0 1.199 * * [simplify]: Extracting # 3 : cost 0 1.212 * * [simplify]: Extracting # 4 : cost 0 1.228 * * [simplify]: iteration done: 5002 enodes (cost 400 ) 1.228 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (+ x y) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (+ x y) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) 1.229 * * * [progress]: adding candidates to table 1.297 * * [progress]: iteration 2 / 4 1.297 * * * [progress]: picking best candidate 1.304 * * * * [pick]: Picked # 1.305 * * * [progress]: localizing error 1.317 * * * [progress]: generating rewritten candidates 1.317 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.337 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.364 * * * [progress]: generating series expansions 1.364 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.364 * [backup-simplify]: Simplify (+ (* y (+ y (* 2 x))) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.364 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 1.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.364 * [backup-simplify]: Simplify y into y 1.364 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.364 * [taylor]: Taking taylor expansion of 2 in x 1.365 * [backup-simplify]: Simplify 2 into 2 1.365 * [taylor]: Taking taylor expansion of (* x y) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of y in x 1.365 * [backup-simplify]: Simplify y into y 1.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.365 * [taylor]: Taking taylor expansion of 2 in y 1.365 * [backup-simplify]: Simplify 2 into 2 1.365 * [taylor]: Taking taylor expansion of (* x y) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.365 * [taylor]: Taking taylor expansion of 2 in y 1.365 * [backup-simplify]: Simplify 2 into 2 1.365 * [taylor]: Taking taylor expansion of (* x y) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of y in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.366 * [backup-simplify]: Simplify (* x 0) into 0 1.366 * [backup-simplify]: Simplify (* 2 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.368 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.368 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 1.368 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 1.368 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 1.368 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.368 * [taylor]: Taking taylor expansion of 2 in x 1.368 * [backup-simplify]: Simplify 2 into 2 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 2 0) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 1.371 * [backup-simplify]: Simplify (+ 1 0) into 1 1.372 * [backup-simplify]: Simplify (+ 0 1) into 1 1.372 * [taylor]: Taking taylor expansion of 1 in x 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.372 * [backup-simplify]: Simplify 2 into 2 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.374 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.374 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (* 1 1) into 1 1.375 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.375 * [taylor]: Taking taylor expansion of y in x 1.375 * [backup-simplify]: Simplify y into y 1.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.375 * [taylor]: Taking taylor expansion of 2 in x 1.375 * [backup-simplify]: Simplify 2 into 2 1.375 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.375 * [taylor]: Taking taylor expansion of (* x y) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of y in x 1.375 * [backup-simplify]: Simplify y into y 1.375 * [backup-simplify]: Simplify (* 0 y) into 0 1.375 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.376 * [taylor]: Taking taylor expansion of x in y 1.376 * [backup-simplify]: Simplify x into x 1.376 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.376 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.376 * [taylor]: Taking taylor expansion of y in y 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.377 * [taylor]: Taking taylor expansion of 2 in y 1.377 * [backup-simplify]: Simplify 2 into 2 1.377 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.377 * [taylor]: Taking taylor expansion of (* x y) in y 1.377 * [taylor]: Taking taylor expansion of x in y 1.377 * [backup-simplify]: Simplify x into x 1.377 * [taylor]: Taking taylor expansion of y in y 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* x 0) into 0 1.377 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.377 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.377 * [taylor]: Taking taylor expansion of x in y 1.377 * [backup-simplify]: Simplify x into x 1.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.378 * [taylor]: Taking taylor expansion of y in y 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.379 * [taylor]: Taking taylor expansion of 2 in y 1.379 * [backup-simplify]: Simplify 2 into 2 1.379 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.379 * [taylor]: Taking taylor expansion of (* x y) in y 1.379 * [taylor]: Taking taylor expansion of x in y 1.379 * [backup-simplify]: Simplify x into x 1.379 * [taylor]: Taking taylor expansion of y in y 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* x 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.379 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.380 * [backup-simplify]: Simplify (+ 1 0) into 1 1.380 * [backup-simplify]: Simplify (+ 0 1) into 1 1.380 * [taylor]: Taking taylor expansion of 1 in x 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.381 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.381 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 1.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.381 * [taylor]: Taking taylor expansion of 2 in x 1.381 * [backup-simplify]: Simplify 2 into 2 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (* 2 1) into 2 1.386 * [backup-simplify]: Simplify 2 into 2 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.387 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (* 1 1) into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.387 * [taylor]: Taking taylor expansion of y in x 1.387 * [backup-simplify]: Simplify y into y 1.387 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.388 * [taylor]: Taking taylor expansion of 2 in x 1.388 * [backup-simplify]: Simplify 2 into 2 1.388 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.388 * [taylor]: Taking taylor expansion of (* x y) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [taylor]: Taking taylor expansion of y in x 1.388 * [backup-simplify]: Simplify y into y 1.388 * [backup-simplify]: Simplify (* 0 y) into 0 1.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.388 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.388 * [taylor]: Taking taylor expansion of x in y 1.388 * [backup-simplify]: Simplify x into x 1.388 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.388 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (* 1 1) into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.389 * [taylor]: Taking taylor expansion of 2 in y 1.389 * [backup-simplify]: Simplify 2 into 2 1.389 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.389 * [taylor]: Taking taylor expansion of (* x y) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.389 * [backup-simplify]: Simplify x into x 1.389 * [taylor]: Taking taylor expansion of y in y 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (* x 0) into 0 1.389 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.389 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.389 * [backup-simplify]: Simplify x into x 1.389 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.389 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (* 1 1) into 1 1.390 * [backup-simplify]: Simplify (/ 1 1) into 1 1.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.390 * [taylor]: Taking taylor expansion of 2 in y 1.390 * [backup-simplify]: Simplify 2 into 2 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.390 * [taylor]: Taking taylor expansion of (* x y) in y 1.390 * [taylor]: Taking taylor expansion of x in y 1.390 * [backup-simplify]: Simplify x into x 1.390 * [taylor]: Taking taylor expansion of y in y 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (* x 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.391 * [backup-simplify]: Simplify (+ 1 0) into 1 1.391 * [backup-simplify]: Simplify (+ 0 1) into 1 1.391 * [taylor]: Taking taylor expansion of 1 in x 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.392 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.392 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 1.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.392 * [taylor]: Taking taylor expansion of 2 in x 1.392 * [backup-simplify]: Simplify 2 into 2 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (* 2 1) into 2 1.396 * [backup-simplify]: Simplify 2 into 2 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.396 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.396 * [backup-simplify]: Simplify (* y (+ y (* 2 x))) into (* (+ (* 2 x) y) y) 1.396 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 1.396 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 1.396 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.396 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.396 * [taylor]: Taking taylor expansion of 2 in x 1.396 * [backup-simplify]: Simplify 2 into 2 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of y in x 1.396 * [backup-simplify]: Simplify y into y 1.396 * [taylor]: Taking taylor expansion of y in x 1.396 * [backup-simplify]: Simplify y into y 1.396 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.396 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.396 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.396 * [taylor]: Taking taylor expansion of 2 in y 1.396 * [backup-simplify]: Simplify 2 into 2 1.396 * [taylor]: Taking taylor expansion of x in y 1.396 * [backup-simplify]: Simplify x into x 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.397 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.397 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.397 * [taylor]: Taking taylor expansion of 2 in y 1.397 * [backup-simplify]: Simplify 2 into 2 1.397 * [taylor]: Taking taylor expansion of x in y 1.397 * [backup-simplify]: Simplify x into x 1.397 * [taylor]: Taking taylor expansion of y in y 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [taylor]: Taking taylor expansion of y in y 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 1.397 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 1.397 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 1.397 * [taylor]: Taking taylor expansion of 0 in x 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 1.397 * [backup-simplify]: Simplify (+ 0 1) into 1 1.398 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 1.398 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.398 * [taylor]: Taking taylor expansion of 2 in x 1.398 * [backup-simplify]: Simplify 2 into 2 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (* 2 0) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 1.400 * [taylor]: Taking taylor expansion of 1 in x 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.400 * [backup-simplify]: Simplify 2 into 2 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.403 * [taylor]: Taking taylor expansion of 0 in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.406 * [taylor]: Taking taylor expansion of 0 in x 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 1.407 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 1.407 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 1.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.407 * [taylor]: Taking taylor expansion of y in x 1.407 * [backup-simplify]: Simplify y into y 1.407 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.407 * [taylor]: Taking taylor expansion of 2 in x 1.407 * [backup-simplify]: Simplify 2 into 2 1.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of y in x 1.407 * [backup-simplify]: Simplify y into y 1.407 * [backup-simplify]: Simplify (* 2 1) into 2 1.408 * [backup-simplify]: Simplify (+ 0 2) into 2 1.408 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.408 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.408 * [taylor]: Taking taylor expansion of 2 in y 1.408 * [backup-simplify]: Simplify 2 into 2 1.408 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.408 * [taylor]: Taking taylor expansion of x in y 1.408 * [backup-simplify]: Simplify x into x 1.408 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (+ 1 0) into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.409 * [taylor]: Taking taylor expansion of 2 in y 1.409 * [backup-simplify]: Simplify 2 into 2 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [backup-simplify]: Simplify x into x 1.409 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (+ 1 0) into 1 1.410 * [backup-simplify]: Simplify (/ 1 1) into 1 1.410 * [taylor]: Taking taylor expansion of 1 in x 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.410 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.411 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 1.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.411 * [taylor]: Taking taylor expansion of 2 in x 1.411 * [backup-simplify]: Simplify 2 into 2 1.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (* 2 1) into 2 1.412 * [backup-simplify]: Simplify 2 into 2 1.412 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 1.418 * [taylor]: Taking taylor expansion of 0 in x 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [taylor]: Taking taylor expansion of 0 in x 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in x 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 1.426 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 1.426 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 1.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.426 * [taylor]: Taking taylor expansion of y in x 1.426 * [backup-simplify]: Simplify y into y 1.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of 2 in x 1.426 * [backup-simplify]: Simplify 2 into 2 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (/ 1 1) into 1 1.427 * [taylor]: Taking taylor expansion of y in x 1.427 * [backup-simplify]: Simplify y into y 1.427 * [backup-simplify]: Simplify (* 2 1) into 2 1.427 * [backup-simplify]: Simplify (+ 0 2) into 2 1.427 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.427 * [taylor]: Taking taylor expansion of y in y 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.428 * [taylor]: Taking taylor expansion of 2 in y 1.428 * [backup-simplify]: Simplify 2 into 2 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [backup-simplify]: Simplify x into x 1.428 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.429 * [taylor]: Taking taylor expansion of 2 in y 1.429 * [backup-simplify]: Simplify 2 into 2 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.429 * [taylor]: Taking taylor expansion of x in y 1.429 * [backup-simplify]: Simplify x into x 1.429 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.429 * [taylor]: Taking taylor expansion of y in y 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (+ 1 0) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of 1 in x 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.431 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.431 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 1.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of 2 in x 1.431 * [backup-simplify]: Simplify 2 into 2 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [backup-simplify]: Simplify (* 2 1) into 2 1.432 * [backup-simplify]: Simplify 2 into 2 1.432 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.433 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in x 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [taylor]: Taking taylor expansion of 0 in x 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in x 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 1.443 * * * [progress]: simplifying candidates 1.444 * [simplify]: Simplifying: (* (exp (* y (+ y (* 2 x)))) (exp (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (* (* (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x))) (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow (* x x) 3)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (- (* (* x x) (* x x)) (* (* y (+ y (* 2 x))) (* x x)))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (* x x))) (- (* y (+ y (* 2 x))) (* x x)) (+ (* y (* 2 x)) (* x x)) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 1.445 * * [simplify]: Extracting # 0 : cost 0 1.445 * * [simplify]: Extracting # 1 : cost 0 1.445 * * [simplify]: Extracting # 2 : cost 0 1.445 * * [simplify]: Extracting # 3 : cost 0 1.445 * * [simplify]: Extracting # 4 : cost 0 1.445 * * [simplify]: Extracting # 5 : cost 0 1.445 * * [simplify]: Extracting # 6 : cost 0 1.445 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 1.466 * * [simplify]: Extracting # 0 : cost 0 1.466 * * [simplify]: Extracting # 1 : cost 0 1.467 * * [simplify]: Extracting # 2 : cost 0 1.467 * * [simplify]: Extracting # 3 : cost 0 1.467 * * [simplify]: Extracting # 4 : cost 0 1.468 * * [simplify]: iteration 1 : 250 enodes (cost 501 ) 1.649 * * [simplify]: Extracting # 0 : cost 0 1.650 * * [simplify]: Extracting # 1 : cost 0 1.652 * * [simplify]: Extracting # 2 : cost 0 1.654 * * [simplify]: Extracting # 3 : cost 0 1.658 * * [simplify]: Extracting # 4 : cost 0 1.660 * * [simplify]: iteration 2 : 1377 enodes (cost 447 ) 2.215 * * [simplify]: Extracting # 0 : cost 0 2.220 * * [simplify]: Extracting # 1 : cost 0 2.228 * * [simplify]: Extracting # 2 : cost 0 2.235 * * [simplify]: Extracting # 3 : cost 0 2.247 * * [simplify]: Extracting # 4 : cost 0 2.254 * * [simplify]: iteration done: 5001 enodes (cost 447 ) 2.254 * [simplify]: Simplified to: (exp (+ (* y (+ y (* 2 x))) (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (pow (+ (* y (+ y (* 2 x))) (* x x)) 3) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow x 6)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (- (* x x) (* y (+ y (* 2 x)))))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)) (* x (+ x (* y 2))) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (log (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* (- (* y y) (* 4 (* x x))) y) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) 2.254 * * * [progress]: adding candidates to table 2.353 * * [progress]: iteration 3 / 4 2.353 * * * [progress]: picking best candidate 2.355 * * * * [pick]: Picked # 2.355 * * * [progress]: localizing error 2.366 * * * [progress]: generating rewritten candidates 2.366 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.380 * * * [progress]: generating series expansions 2.381 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.381 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* y 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.381 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 2.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.381 * [taylor]: Taking taylor expansion of x in x 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.381 * [taylor]: Taking taylor expansion of y in x 2.381 * [backup-simplify]: Simplify y into y 2.381 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.381 * [taylor]: Taking taylor expansion of 2 in x 2.381 * [backup-simplify]: Simplify 2 into 2 2.381 * [taylor]: Taking taylor expansion of (* x y) in x 2.381 * [taylor]: Taking taylor expansion of x in x 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [taylor]: Taking taylor expansion of y in x 2.381 * [backup-simplify]: Simplify y into y 2.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.381 * [taylor]: Taking taylor expansion of x in y 2.381 * [backup-simplify]: Simplify x into x 2.381 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.381 * [taylor]: Taking taylor expansion of 2 in y 2.381 * [backup-simplify]: Simplify 2 into 2 2.381 * [taylor]: Taking taylor expansion of (* x y) in y 2.381 * [taylor]: Taking taylor expansion of x in y 2.381 * [backup-simplify]: Simplify x into x 2.381 * [taylor]: Taking taylor expansion of y in y 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.381 * [taylor]: Taking taylor expansion of x in y 2.381 * [backup-simplify]: Simplify x into x 2.381 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.382 * [taylor]: Taking taylor expansion of 2 in y 2.382 * [backup-simplify]: Simplify 2 into 2 2.382 * [taylor]: Taking taylor expansion of (* x y) in y 2.382 * [taylor]: Taking taylor expansion of x in y 2.382 * [backup-simplify]: Simplify x into x 2.382 * [taylor]: Taking taylor expansion of y in y 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.382 * [backup-simplify]: Simplify (* x 0) into 0 2.382 * [backup-simplify]: Simplify (* 2 0) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.383 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.383 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 2.383 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.383 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.383 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.383 * [taylor]: Taking taylor expansion of 2 in x 2.383 * [backup-simplify]: Simplify 2 into 2 2.383 * [taylor]: Taking taylor expansion of x in x 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (* 2 0) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 2.385 * [backup-simplify]: Simplify (+ 1 0) into 1 2.386 * [backup-simplify]: Simplify (+ 0 1) into 1 2.386 * [taylor]: Taking taylor expansion of 1 in x 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.386 * [backup-simplify]: Simplify 2 into 2 2.387 * [backup-simplify]: Simplify (* 1 1) into 1 2.387 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.387 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.388 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.388 * [taylor]: Taking taylor expansion of x in x 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.388 * [backup-simplify]: Simplify (/ 1 1) into 1 2.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.388 * [taylor]: Taking taylor expansion of y in x 2.388 * [backup-simplify]: Simplify y into y 2.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.389 * [taylor]: Taking taylor expansion of 2 in x 2.389 * [backup-simplify]: Simplify 2 into 2 2.389 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.389 * [taylor]: Taking taylor expansion of (* x y) in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [taylor]: Taking taylor expansion of y in x 2.389 * [backup-simplify]: Simplify y into y 2.389 * [backup-simplify]: Simplify (* 0 y) into 0 2.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.389 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.389 * [taylor]: Taking taylor expansion of x in y 2.389 * [backup-simplify]: Simplify x into x 2.389 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.390 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.390 * [taylor]: Taking taylor expansion of y in y 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (/ 1 1) into 1 2.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.390 * [taylor]: Taking taylor expansion of 2 in y 2.390 * [backup-simplify]: Simplify 2 into 2 2.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.390 * [taylor]: Taking taylor expansion of (* x y) in y 2.390 * [taylor]: Taking taylor expansion of x in y 2.391 * [backup-simplify]: Simplify x into x 2.391 * [taylor]: Taking taylor expansion of y in y 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (* x 0) into 0 2.391 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.391 * [taylor]: Taking taylor expansion of x in y 2.391 * [backup-simplify]: Simplify x into x 2.391 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.391 * [taylor]: Taking taylor expansion of y in y 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.392 * [backup-simplify]: Simplify (* 1 1) into 1 2.392 * [backup-simplify]: Simplify (/ 1 1) into 1 2.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.392 * [taylor]: Taking taylor expansion of 2 in y 2.392 * [backup-simplify]: Simplify 2 into 2 2.392 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.392 * [taylor]: Taking taylor expansion of (* x y) in y 2.392 * [taylor]: Taking taylor expansion of x in y 2.392 * [backup-simplify]: Simplify x into x 2.392 * [taylor]: Taking taylor expansion of y in y 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [backup-simplify]: Simplify (* x 0) into 0 2.393 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.393 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.393 * [backup-simplify]: Simplify (+ 1 0) into 1 2.393 * [backup-simplify]: Simplify (+ 0 1) into 1 2.393 * [taylor]: Taking taylor expansion of 1 in x 2.393 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.395 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.395 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 2.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.395 * [taylor]: Taking taylor expansion of 2 in x 2.395 * [backup-simplify]: Simplify 2 into 2 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.398 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.398 * [backup-simplify]: Simplify (+ 0 0) into 0 2.398 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.398 * [taylor]: Taking taylor expansion of x in x 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (* 1 1) into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (* 2 1) into 2 2.399 * [backup-simplify]: Simplify 2 into 2 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.400 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.400 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (* 1 1) into 1 2.400 * [backup-simplify]: Simplify (/ 1 1) into 1 2.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.400 * [taylor]: Taking taylor expansion of y in x 2.400 * [backup-simplify]: Simplify y into y 2.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.400 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.400 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.400 * [taylor]: Taking taylor expansion of 2 in x 2.400 * [backup-simplify]: Simplify 2 into 2 2.400 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.401 * [taylor]: Taking taylor expansion of (* x y) in x 2.401 * [taylor]: Taking taylor expansion of x in x 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of y in x 2.401 * [backup-simplify]: Simplify y into y 2.401 * [backup-simplify]: Simplify (* 0 y) into 0 2.401 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.401 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.401 * [taylor]: Taking taylor expansion of x in y 2.401 * [backup-simplify]: Simplify x into x 2.401 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.401 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.401 * [taylor]: Taking taylor expansion of y in y 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (* 1 1) into 1 2.402 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.402 * [taylor]: Taking taylor expansion of 2 in y 2.402 * [backup-simplify]: Simplify 2 into 2 2.402 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.402 * [taylor]: Taking taylor expansion of (* x y) in y 2.402 * [taylor]: Taking taylor expansion of x in y 2.402 * [backup-simplify]: Simplify x into x 2.402 * [taylor]: Taking taylor expansion of y in y 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (* x 0) into 0 2.402 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.402 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.402 * [taylor]: Taking taylor expansion of x in y 2.402 * [backup-simplify]: Simplify x into x 2.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.402 * [taylor]: Taking taylor expansion of y in y 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (* 1 1) into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.403 * [taylor]: Taking taylor expansion of 2 in y 2.403 * [backup-simplify]: Simplify 2 into 2 2.403 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.403 * [taylor]: Taking taylor expansion of (* x y) in y 2.403 * [taylor]: Taking taylor expansion of x in y 2.403 * [backup-simplify]: Simplify x into x 2.403 * [taylor]: Taking taylor expansion of y in y 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (* x 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.403 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.404 * [backup-simplify]: Simplify (+ 0 1) into 1 2.404 * [taylor]: Taking taylor expansion of 1 in x 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.405 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.405 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 2.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.405 * [taylor]: Taking taylor expansion of 2 in x 2.405 * [backup-simplify]: Simplify 2 into 2 2.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (/ 1 1) into 1 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (* 1 1) into 1 2.408 * [backup-simplify]: Simplify (/ 1 1) into 1 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (* 2 1) into 2 2.408 * [backup-simplify]: Simplify 2 into 2 2.408 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.409 * * * [progress]: simplifying candidates 2.409 * [simplify]: Simplifying: (* (exp (* y y)) (exp (* x (+ x (* y 2))))) (log (+ (* y y) (* x (+ x (* y 2))))) (exp (+ (* y y) (* x (+ x (* y 2))))) (* (cbrt (+ (* y y) (* x (+ x (* y 2))))) (cbrt (+ (* y y) (* x (+ x (* y 2)))))) (cbrt (+ (* y y) (* x (+ x (* y 2))))) (* (* (+ (* y y) (* x (+ x (* y 2)))) (+ (* y y) (* x (+ x (* y 2))))) (+ (* y y) (* x (+ x (* y 2))))) (sqrt (+ (* y y) (* x (+ x (* y 2))))) (sqrt (+ (* y y) (* x (+ x (* y 2))))) (+ (pow (* y y) 3) (pow (* x (+ x (* y 2))) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2))) (* x (+ x (* y 2)))) (* (* y y) (* x (+ x (* y 2)))))) (- (* (* y y) (* y y)) (* (* x (+ x (* y 2))) (* x (+ x (* y 2))))) (- (* y y) (* x (+ x (* y 2)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.410 * * [simplify]: Extracting # 0 : cost 0 2.410 * * [simplify]: Extracting # 1 : cost 0 2.410 * * [simplify]: Extracting # 2 : cost 0 2.410 * * [simplify]: Extracting # 3 : cost 0 2.410 * * [simplify]: Extracting # 4 : cost 0 2.410 * * [simplify]: Extracting # 5 : cost 0 2.410 * * [simplify]: Extracting # 6 : cost 0 2.410 * * [simplify]: Extracting # 7 : cost 0 2.410 * * [simplify]: iteration 0 : 37 enodes (cost 270 ) 2.419 * * [simplify]: Extracting # 0 : cost 0 2.419 * * [simplify]: Extracting # 1 : cost 0 2.419 * * [simplify]: Extracting # 2 : cost 0 2.419 * * [simplify]: Extracting # 3 : cost 0 2.419 * * [simplify]: Extracting # 4 : cost 0 2.419 * * [simplify]: iteration 1 : 131 enodes (cost 261 ) 2.486 * * [simplify]: Extracting # 0 : cost 0 2.487 * * [simplify]: Extracting # 1 : cost 0 2.488 * * [simplify]: Extracting # 2 : cost 0 2.489 * * [simplify]: Extracting # 3 : cost 0 2.491 * * [simplify]: Extracting # 4 : cost 0 2.492 * * [simplify]: iteration 2 : 769 enodes (cost 223 ) 2.854 * * [simplify]: Extracting # 0 : cost 0 2.862 * * [simplify]: Extracting # 1 : cost 0 2.879 * * [simplify]: Extracting # 2 : cost 0 2.890 * * [simplify]: Extracting # 3 : cost 0 2.900 * * [simplify]: Extracting # 4 : cost 0 2.910 * * [simplify]: iteration done: 5002 enodes (cost 223 ) 2.910 * [simplify]: Simplified to: (exp (+ (* y y) (* x (+ x (* y 2))))) (log (+ (* y y) (* x (+ x (* y 2))))) (exp (+ (* y y) (* x (+ x (* y 2))))) (* (cbrt (+ (* y y) (* x (+ x (* y 2))))) (cbrt (+ (* y y) (* x (+ x (* y 2)))))) (cbrt (+ (* y y) (* x (+ x (* y 2))))) (pow (+ (* y y) (* x (+ x (* y 2)))) 3) (sqrt (+ (* y y) (* x (+ x (* y 2))))) (sqrt (+ (* y y) (* x (+ x (* y 2))))) (+ (pow (* x (+ x (* y 2))) 3) (pow y 6)) (+ (pow y 4) (* (* x (+ x (* y 2))) (- (* x (+ x (* y 2))) (* y y)))) (- (pow y 4) (* (* x (+ x (* y 2))) (* x (+ x (* y 2))))) (- (* y y) (* x (+ x (* y 2)))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) 2.911 * * * [progress]: adding candidates to table 2.956 * [progress]: [Phase 3 of 3] Extracting. 2.956 * * [regime]: Finding splitpoints for: (# #) 2.956 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.956 * * * * [regimes]: Trying to branch on y from (# #) 2.971 * * * * [regimes]: Trying to branch on x from (# #) 2.985 * * * [regime]: Found split indices: #