35.958 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [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 0.035 * * [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 ) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.135 * * [simplify]: Extracting # 0 : cost 0 0.135 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.162 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.163 * * [progress]: iteration 1 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.227 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.227 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.227 * [taylor]: Taking taylor expansion of (+ x y) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 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 (+ x 0) into x 0.227 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.227 * [taylor]: Taking taylor expansion of (+ x y) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [backup-simplify]: Simplify y into y 0.227 * [backup-simplify]: Simplify (+ 0 y) into y 0.227 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.227 * [taylor]: Taking taylor expansion of (+ x y) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [backup-simplify]: Simplify y into y 0.227 * [backup-simplify]: Simplify (+ 0 y) into y 0.227 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.228 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.228 * [taylor]: Taking taylor expansion of 2 in y 0.228 * [backup-simplify]: Simplify 2 into 2 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 2 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [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)))) 0.232 * [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)))) 0.241 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.241 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [backup-simplify]: Simplify x into x 0.241 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [backup-simplify]: Simplify y into y 0.242 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (+ 0 1) into 1 0.243 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (+ 0 1) into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.245 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.245 * [backup-simplify]: Simplify 2 into 2 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (* 2 1) into 2 0.249 * [backup-simplify]: Simplify 2 into 2 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [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)))) 0.249 * * * [progress]: simplifying candidates 0.250 * [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)))) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.252 * * [simplify]: Extracting # 2 : cost 0 0.252 * * [simplify]: Extracting # 3 : cost 0 0.252 * * [simplify]: Extracting # 4 : cost 0 0.252 * * [simplify]: Extracting # 5 : cost 0 0.252 * * [simplify]: Extracting # 6 : cost 0 0.253 * * [simplify]: Extracting # 7 : cost 0 0.253 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.280 * * [simplify]: Extracting # 0 : cost 0 0.280 * * [simplify]: Extracting # 1 : cost 0 0.281 * * [simplify]: Extracting # 2 : cost 0 0.281 * * [simplify]: Extracting # 3 : cost 0 0.281 * * [simplify]: Extracting # 4 : cost 0 0.282 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.393 * * [simplify]: Extracting # 0 : cost 0 0.393 * * [simplify]: Extracting # 1 : cost 0 0.394 * * [simplify]: Extracting # 2 : cost 0 0.395 * * [simplify]: Extracting # 3 : cost 0 0.396 * * [simplify]: Extracting # 4 : cost 0 0.397 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.326 * * [simplify]: Extracting # 0 : cost 0 1.334 * * [simplify]: Extracting # 1 : cost 0 1.339 * * [simplify]: Extracting # 2 : cost 0 1.344 * * [simplify]: Extracting # 3 : cost 0 1.348 * * [simplify]: Extracting # 4 : cost 0 1.353 * * [simplify]: Extracting # 5 : cost 0 1.361 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.704 * * [simplify]: Extracting # 0 : cost 0 2.718 * * [simplify]: Extracting # 1 : cost 0 2.725 * * [simplify]: Extracting # 2 : cost 0 2.732 * * [simplify]: Extracting # 3 : cost 0 2.737 * * [simplify]: Extracting # 4 : cost 0 2.742 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.742 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (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 y) (- x y)) (pow (sqrt (+ x y)) 4)) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (pow (cbrt (+ x y)) (+ 4 1)) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) 2.742 * * * [progress]: adding candidates to table 2.799 * * [progress]: iteration 2 / 4 2.799 * * * [progress]: picking best candidate 2.801 * * * * [pick]: Picked # 2.801 * * * [progress]: localizing error 2.807 * * * [progress]: generating rewritten candidates 2.807 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.832 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.860 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.885 * * * [progress]: generating series expansions 2.885 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.885 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 2.885 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 2.885 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 2.885 * [taylor]: Taking taylor expansion of y in y 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [taylor]: Taking taylor expansion of (+ x y) in y 2.885 * [taylor]: Taking taylor expansion of x in y 2.885 * [backup-simplify]: Simplify x into x 2.885 * [taylor]: Taking taylor expansion of y in y 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.885 * [taylor]: Taking taylor expansion of y in x 2.885 * [backup-simplify]: Simplify y into y 2.885 * [taylor]: Taking taylor expansion of (+ x y) in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [taylor]: Taking taylor expansion of y in x 2.885 * [backup-simplify]: Simplify y into y 2.886 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.886 * [taylor]: Taking taylor expansion of y in x 2.886 * [backup-simplify]: Simplify y into y 2.886 * [taylor]: Taking taylor expansion of (+ x y) in x 2.886 * [taylor]: Taking taylor expansion of x in x 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [taylor]: Taking taylor expansion of y in x 2.886 * [backup-simplify]: Simplify y into y 2.886 * [backup-simplify]: Simplify (+ 0 y) into y 2.886 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.886 * [taylor]: Taking taylor expansion of y in y 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (+ 1 0) into 1 2.887 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 2.887 * [taylor]: Taking taylor expansion of y in y 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 2.888 * [taylor]: Taking taylor expansion of 0 in y 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* 1 1) into 1 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.889 * [taylor]: Taking taylor expansion of 0 in y 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.891 * [taylor]: Taking taylor expansion of 0 in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 2.892 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.892 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.892 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.892 * [taylor]: Taking taylor expansion of y in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.892 * [taylor]: Taking taylor expansion of x in y 2.892 * [backup-simplify]: Simplify x into x 2.892 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.892 * [taylor]: Taking taylor expansion of y in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (+ 1 0) into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.893 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [backup-simplify]: Simplify y into y 2.894 * [backup-simplify]: Simplify (+ 0 1) into 1 2.894 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [backup-simplify]: Simplify y into y 2.894 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of y in x 2.895 * [backup-simplify]: Simplify y into y 2.895 * [backup-simplify]: Simplify (+ 0 1) into 1 2.895 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.895 * [taylor]: Taking taylor expansion of y in y 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.896 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.896 * [taylor]: Taking taylor expansion of y in y 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (* 1 1) into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.899 * [taylor]: Taking taylor expansion of 0 in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.902 * [taylor]: Taking taylor expansion of 0 in y 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.906 * [taylor]: Taking taylor expansion of 0 in y 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 2.908 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.908 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.908 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.908 * [taylor]: Taking taylor expansion of y in y 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.908 * [taylor]: Taking taylor expansion of x in y 2.908 * [backup-simplify]: Simplify x into x 2.908 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.908 * [taylor]: Taking taylor expansion of y in y 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (+ 1 0) into 1 2.909 * [backup-simplify]: Simplify (/ 1 1) into 1 2.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.909 * [taylor]: Taking taylor expansion of y in x 2.909 * [backup-simplify]: Simplify y into y 2.909 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of y in x 2.910 * [backup-simplify]: Simplify y into y 2.910 * [backup-simplify]: Simplify (+ 0 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.910 * [taylor]: Taking taylor expansion of y in x 2.910 * [backup-simplify]: Simplify y into y 2.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of y in x 2.911 * [backup-simplify]: Simplify y into y 2.911 * [backup-simplify]: Simplify (+ 0 1) into 1 2.911 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.911 * [taylor]: Taking taylor expansion of y in y 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.913 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.913 * [taylor]: Taking taylor expansion of y in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.915 * [taylor]: Taking taylor expansion of 0 in y 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.918 * [taylor]: Taking taylor expansion of 0 in y 2.918 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.922 * [taylor]: Taking taylor expansion of 0 in y 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 2.923 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.924 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.924 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.924 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.924 * [taylor]: Taking taylor expansion of x in y 2.924 * [backup-simplify]: Simplify x into x 2.924 * [taylor]: Taking taylor expansion of (+ x y) in y 2.924 * [taylor]: Taking taylor expansion of x in y 2.924 * [backup-simplify]: Simplify x into x 2.924 * [taylor]: Taking taylor expansion of y in y 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of (+ x y) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [backup-simplify]: Simplify y into y 2.924 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of (+ x y) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [backup-simplify]: Simplify y into y 2.924 * [backup-simplify]: Simplify (+ 0 y) into y 2.924 * [backup-simplify]: Simplify (* 0 y) into 0 2.924 * [taylor]: Taking taylor expansion of 0 in y 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.925 * [taylor]: Taking taylor expansion of y in y 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.928 * [taylor]: Taking taylor expansion of 1 in y 2.928 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.930 * [taylor]: Taking taylor expansion of 0 in y 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.932 * [taylor]: Taking taylor expansion of 0 in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.932 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.932 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.932 * [taylor]: Taking taylor expansion of y in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.933 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.933 * [taylor]: Taking taylor expansion of x in y 2.933 * [backup-simplify]: Simplify x into x 2.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.933 * [taylor]: Taking taylor expansion of x in y 2.933 * [backup-simplify]: Simplify x into x 2.933 * [backup-simplify]: Simplify (+ 1 0) into 1 2.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.933 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.933 * [taylor]: Taking taylor expansion of y in x 2.933 * [backup-simplify]: Simplify y into y 2.933 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [taylor]: Taking taylor expansion of x in x 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (+ 0 1) into 1 2.934 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.934 * [taylor]: Taking taylor expansion of y in x 2.935 * [backup-simplify]: Simplify y into y 2.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.935 * [taylor]: Taking taylor expansion of x in x 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [taylor]: Taking taylor expansion of x in x 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (+ 0 1) into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [taylor]: Taking taylor expansion of 1 in y 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.937 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.937 * [taylor]: Taking taylor expansion of y in y 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.940 * [taylor]: Taking taylor expansion of 0 in y 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [taylor]: Taking taylor expansion of 0 in y 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [taylor]: Taking taylor expansion of 0 in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.946 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.946 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.946 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.946 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.946 * [taylor]: Taking taylor expansion of y in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.947 * [taylor]: Taking taylor expansion of x in y 2.947 * [backup-simplify]: Simplify x into x 2.947 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.947 * [taylor]: Taking taylor expansion of x in y 2.947 * [backup-simplify]: Simplify x into x 2.947 * [backup-simplify]: Simplify (+ 1 0) into 1 2.947 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.947 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.947 * [taylor]: Taking taylor expansion of y in x 2.947 * [backup-simplify]: Simplify y into y 2.947 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.947 * [taylor]: Taking taylor expansion of x in x 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of x in x 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (+ 0 1) into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.949 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.949 * [taylor]: Taking taylor expansion of y in x 2.949 * [backup-simplify]: Simplify y into y 2.949 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (+ 0 1) into 1 2.950 * [backup-simplify]: Simplify (/ 1 1) into 1 2.950 * [taylor]: Taking taylor expansion of 1 in y 2.950 * [backup-simplify]: Simplify 1 into 1 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.951 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.951 * [taylor]: Taking taylor expansion of y in y 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (/ 1 1) into 1 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.954 * [taylor]: Taking taylor expansion of 0 in y 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [taylor]: Taking taylor expansion of 0 in y 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [taylor]: Taking taylor expansion of 0 in y 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.962 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.962 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.962 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.962 * [taylor]: Taking taylor expansion of x in y 2.962 * [backup-simplify]: Simplify x into x 2.962 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.962 * [taylor]: Taking taylor expansion of 2 in y 2.962 * [backup-simplify]: Simplify 2 into 2 2.962 * [taylor]: Taking taylor expansion of (* x y) in y 2.963 * [taylor]: Taking taylor expansion of x in y 2.963 * [backup-simplify]: Simplify x into x 2.963 * [taylor]: Taking taylor expansion of y in y 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.963 * [taylor]: Taking taylor expansion of y in x 2.963 * [backup-simplify]: Simplify y into y 2.963 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.963 * [taylor]: Taking taylor expansion of 2 in x 2.963 * [backup-simplify]: Simplify 2 into 2 2.963 * [taylor]: Taking taylor expansion of (* x y) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of y in x 2.963 * [backup-simplify]: Simplify y into y 2.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.963 * [taylor]: Taking taylor expansion of y in x 2.963 * [backup-simplify]: Simplify y into y 2.963 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.963 * [taylor]: Taking taylor expansion of 2 in x 2.963 * [backup-simplify]: Simplify 2 into 2 2.963 * [taylor]: Taking taylor expansion of (* x y) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of y in x 2.963 * [backup-simplify]: Simplify y into y 2.964 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.964 * [backup-simplify]: Simplify (* 0 y) into 0 2.964 * [backup-simplify]: Simplify (* 2 0) into 0 2.964 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.964 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.964 * [taylor]: Taking taylor expansion of y in y 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.965 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.965 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.965 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.965 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.965 * [taylor]: Taking taylor expansion of 2 in y 2.965 * [backup-simplify]: Simplify 2 into 2 2.965 * [taylor]: Taking taylor expansion of y in y 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (* 2 0) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (+ 1 0) into 1 2.968 * [taylor]: Taking taylor expansion of 1 in y 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.969 * [backup-simplify]: Simplify 2 into 2 2.969 * [backup-simplify]: Simplify (* 1 1) into 1 2.969 * [backup-simplify]: Simplify 1 into 1 2.970 * [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)))) 2.970 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.970 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.970 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.970 * [taylor]: Taking taylor expansion of x in y 2.970 * [backup-simplify]: Simplify x into x 2.970 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.970 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.971 * [taylor]: Taking taylor expansion of y in y 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (/ 1 1) into 1 2.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.971 * [taylor]: Taking taylor expansion of 2 in y 2.971 * [backup-simplify]: Simplify 2 into 2 2.971 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.971 * [taylor]: Taking taylor expansion of (* x y) in y 2.971 * [taylor]: Taking taylor expansion of x in y 2.971 * [backup-simplify]: Simplify x into x 2.971 * [taylor]: Taking taylor expansion of y in y 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* x 0) into 0 2.972 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.972 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.973 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.973 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.973 * [taylor]: Taking taylor expansion of 2 in x 2.973 * [backup-simplify]: Simplify 2 into 2 2.973 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.973 * [taylor]: Taking taylor expansion of (* x y) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [backup-simplify]: Simplify (* 0 y) into 0 2.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.974 * [taylor]: Taking taylor expansion of y in x 2.974 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.975 * [taylor]: Taking taylor expansion of 2 in x 2.975 * [backup-simplify]: Simplify 2 into 2 2.975 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.975 * [taylor]: Taking taylor expansion of (* x y) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* 0 y) into 0 2.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [taylor]: Taking taylor expansion of 1 in y 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.977 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.977 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.977 * [taylor]: Taking taylor expansion of 2 in y 2.977 * [backup-simplify]: Simplify 2 into 2 2.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.977 * [taylor]: Taking taylor expansion of y in y 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.980 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.980 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.980 * [taylor]: Taking taylor expansion of y in y 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (* 1 1) into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (* 2 1) into 2 2.982 * [backup-simplify]: Simplify 2 into 2 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [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)))) 2.983 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.983 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.983 * [taylor]: Taking taylor expansion of x in y 2.983 * [backup-simplify]: Simplify x into x 2.983 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.983 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.983 * [taylor]: Taking taylor expansion of y in y 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.984 * [taylor]: Taking taylor expansion of 2 in y 2.984 * [backup-simplify]: Simplify 2 into 2 2.984 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.984 * [taylor]: Taking taylor expansion of (* x y) in y 2.984 * [taylor]: Taking taylor expansion of x in y 2.984 * [backup-simplify]: Simplify x into x 2.984 * [taylor]: Taking taylor expansion of y in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* x 0) into 0 2.984 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.984 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.985 * [taylor]: Taking taylor expansion of y in x 2.985 * [backup-simplify]: Simplify y into y 2.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.985 * [taylor]: Taking taylor expansion of 2 in x 2.985 * [backup-simplify]: Simplify 2 into 2 2.985 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.986 * [taylor]: Taking taylor expansion of (* x y) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [backup-simplify]: Simplify (* 0 y) into 0 2.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.986 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (* 1 1) into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.987 * [taylor]: Taking taylor expansion of y in x 2.987 * [backup-simplify]: Simplify y into y 2.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.987 * [taylor]: Taking taylor expansion of 2 in x 2.987 * [backup-simplify]: Simplify 2 into 2 2.987 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.987 * [taylor]: Taking taylor expansion of (* x y) in x 2.987 * [taylor]: Taking taylor expansion of x in x 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [taylor]: Taking taylor expansion of y in x 2.987 * [backup-simplify]: Simplify y into y 2.987 * [backup-simplify]: Simplify (* 0 y) into 0 2.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.988 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.988 * [backup-simplify]: Simplify (+ 1 0) into 1 2.988 * [taylor]: Taking taylor expansion of 1 in y 2.988 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.989 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.989 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.990 * [taylor]: Taking taylor expansion of 2 in y 2.990 * [backup-simplify]: Simplify 2 into 2 2.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.990 * [taylor]: Taking taylor expansion of y in y 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (/ 1 1) into 1 2.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.993 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.993 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.993 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.993 * [taylor]: Taking taylor expansion of y in y 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (* 2 1) into 2 2.994 * [backup-simplify]: Simplify 2 into 2 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [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)))) 2.995 * * * [progress]: simplifying candidates 2.996 * [simplify]: Simplifying: (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* 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)))) 2.998 * * [simplify]: Extracting # 0 : cost 0 2.998 * * [simplify]: Extracting # 1 : cost 0 2.998 * * [simplify]: Extracting # 2 : cost 0 2.998 * * [simplify]: Extracting # 3 : cost 0 2.999 * * [simplify]: Extracting # 4 : cost 0 2.999 * * [simplify]: Extracting # 5 : cost 0 2.999 * * [simplify]: Extracting # 6 : cost 0 2.999 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 3.034 * * [simplify]: Extracting # 0 : cost 0 3.034 * * [simplify]: Extracting # 1 : cost 0 3.035 * * [simplify]: Extracting # 2 : cost 0 3.035 * * [simplify]: Extracting # 3 : cost 0 3.036 * * [simplify]: Extracting # 4 : cost 0 3.036 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 3.246 * * [simplify]: Extracting # 0 : cost 0 3.248 * * [simplify]: Extracting # 1 : cost 0 3.250 * * [simplify]: Extracting # 2 : cost 0 3.252 * * [simplify]: Extracting # 3 : cost 0 3.254 * * [simplify]: Extracting # 4 : cost 0 3.256 * * [simplify]: iteration 2 : 1097 enodes (cost 636 ) 4.618 * * [simplify]: Extracting # 0 : cost 0 4.627 * * [simplify]: Extracting # 1 : cost 0 4.632 * * [simplify]: Extracting # 2 : cost 0 4.637 * * [simplify]: Extracting # 3 : cost 0 4.642 * * [simplify]: Extracting # 4 : cost 0 4.647 * * [simplify]: iteration 3 : 4979 enodes (cost 610 ) 6.444 * * [simplify]: Extracting # 0 : cost 0 6.450 * * [simplify]: Extracting # 1 : cost 0 6.457 * * [simplify]: Extracting # 2 : cost 0 6.463 * * [simplify]: Extracting # 3 : cost 0 6.475 * * [simplify]: iteration done: 5000 enodes (cost 610 ) 6.475 * [simplify]: Simplified to: (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ x y) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (+ x y))) (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (- (* x x) (* y y))) y)) (* (- x y) (+ (* y (- y x)) (* x x))) (+ (* (- x y) (* (+ (pow x 3) (pow y 3)) y)) (* (* (- (* x x) (* y y)) x) (+ (* y (- y x)) (* x x)))) (* (- x y) (+ (* y (- y x)) (* x x))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* y (* (+ x y) (- y x))) (* (+ x y) (* x x)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) x) (* (+ x y) x) (* (+ x y) x) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 6.476 * * * [progress]: adding candidates to table 6.654 * * [progress]: iteration 3 / 4 6.654 * * * [progress]: picking best candidate 6.656 * * * * [pick]: Picked # 6.656 * * * [progress]: localizing error 6.667 * * * [progress]: generating rewritten candidates 6.667 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 6.705 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.738 * * * [progress]: generating series expansions 6.738 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 6.738 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 6.738 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 6.738 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 6.738 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 6.738 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.738 * [taylor]: Taking taylor expansion of 2 in x 6.738 * [backup-simplify]: Simplify 2 into 2 6.738 * [taylor]: Taking taylor expansion of x in x 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [taylor]: Taking taylor expansion of y in x 6.738 * [backup-simplify]: Simplify y into y 6.738 * [taylor]: Taking taylor expansion of y in x 6.738 * [backup-simplify]: Simplify y into y 6.738 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.738 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.739 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.739 * [taylor]: Taking taylor expansion of 2 in y 6.739 * [backup-simplify]: Simplify 2 into 2 6.739 * [taylor]: Taking taylor expansion of x in y 6.739 * [backup-simplify]: Simplify x into x 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.739 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.739 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.739 * [taylor]: Taking taylor expansion of 2 in y 6.739 * [backup-simplify]: Simplify 2 into 2 6.739 * [taylor]: Taking taylor expansion of x in y 6.739 * [backup-simplify]: Simplify x into x 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 6.739 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 6.739 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 6.739 * [taylor]: Taking taylor expansion of 0 in x 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 6.741 * [backup-simplify]: Simplify (+ 0 1) into 1 6.741 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 6.741 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.741 * [taylor]: Taking taylor expansion of 2 in x 6.741 * [backup-simplify]: Simplify 2 into 2 6.741 * [taylor]: Taking taylor expansion of x in x 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (* 2 0) into 0 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 6.743 * [taylor]: Taking taylor expansion of 1 in x 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify 1 into 1 6.744 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.744 * [backup-simplify]: Simplify 2 into 2 6.744 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.745 * [backup-simplify]: Simplify (+ 0 0) into 0 6.745 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.745 * [taylor]: Taking taylor expansion of 0 in x 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.747 * [backup-simplify]: Simplify (+ 0 0) into 0 6.748 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.748 * [taylor]: Taking taylor expansion of 0 in x 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 6.748 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 6.748 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 6.748 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 6.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 6.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.748 * [taylor]: Taking taylor expansion of y in x 6.748 * [backup-simplify]: Simplify y into y 6.748 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.748 * [taylor]: Taking taylor expansion of 2 in x 6.748 * [backup-simplify]: Simplify 2 into 2 6.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.748 * [taylor]: Taking taylor expansion of x in x 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify 1 into 1 6.749 * [backup-simplify]: Simplify (/ 1 1) into 1 6.749 * [taylor]: Taking taylor expansion of y in x 6.749 * [backup-simplify]: Simplify y into y 6.749 * [backup-simplify]: Simplify (* 2 1) into 2 6.749 * [backup-simplify]: Simplify (+ 0 2) into 2 6.749 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.749 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.749 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.749 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.749 * [taylor]: Taking taylor expansion of y in y 6.749 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify 1 into 1 6.750 * [backup-simplify]: Simplify (/ 1 1) into 1 6.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.750 * [taylor]: Taking taylor expansion of 2 in y 6.750 * [backup-simplify]: Simplify 2 into 2 6.750 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.750 * [taylor]: Taking taylor expansion of x in y 6.750 * [backup-simplify]: Simplify x into x 6.750 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.750 * [taylor]: Taking taylor expansion of y in y 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.750 * [backup-simplify]: Simplify (+ 1 0) into 1 6.750 * [backup-simplify]: Simplify (/ 1 1) into 1 6.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.750 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.750 * [taylor]: Taking taylor expansion of y in y 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.751 * [backup-simplify]: Simplify (/ 1 1) into 1 6.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.751 * [taylor]: Taking taylor expansion of 2 in y 6.751 * [backup-simplify]: Simplify 2 into 2 6.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.751 * [taylor]: Taking taylor expansion of x in y 6.751 * [backup-simplify]: Simplify x into x 6.751 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.751 * [taylor]: Taking taylor expansion of y in y 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [backup-simplify]: Simplify (+ 1 0) into 1 6.751 * [backup-simplify]: Simplify (/ 1 1) into 1 6.751 * [taylor]: Taking taylor expansion of 1 in x 6.751 * [backup-simplify]: Simplify 1 into 1 6.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.752 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.752 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 6.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.752 * [taylor]: Taking taylor expansion of 2 in x 6.753 * [backup-simplify]: Simplify 2 into 2 6.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.753 * [taylor]: Taking taylor expansion of x in x 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (/ 1 1) into 1 6.753 * [backup-simplify]: Simplify (* 2 1) into 2 6.753 * [backup-simplify]: Simplify 2 into 2 6.753 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.754 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 6.755 * [taylor]: Taking taylor expansion of 0 in x 6.755 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.757 * [backup-simplify]: Simplify (+ 0 0) into 0 6.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.759 * [taylor]: Taking taylor expansion of 0 in x 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.765 * [taylor]: Taking taylor expansion of 0 in x 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 6.766 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 6.766 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 6.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 6.766 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 6.766 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.766 * [taylor]: Taking taylor expansion of y in x 6.766 * [backup-simplify]: Simplify y into y 6.766 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.766 * [taylor]: Taking taylor expansion of 2 in x 6.766 * [backup-simplify]: Simplify 2 into 2 6.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.766 * [taylor]: Taking taylor expansion of x in x 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (/ 1 1) into 1 6.766 * [taylor]: Taking taylor expansion of y in x 6.766 * [backup-simplify]: Simplify y into y 6.767 * [backup-simplify]: Simplify (* 2 1) into 2 6.767 * [backup-simplify]: Simplify (+ 0 2) into 2 6.767 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.767 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.767 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.767 * [taylor]: Taking taylor expansion of y in y 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.768 * [backup-simplify]: Simplify (/ 1 1) into 1 6.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.768 * [taylor]: Taking taylor expansion of 2 in y 6.768 * [backup-simplify]: Simplify 2 into 2 6.768 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.768 * [taylor]: Taking taylor expansion of x in y 6.768 * [backup-simplify]: Simplify x into x 6.768 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.768 * [taylor]: Taking taylor expansion of y in y 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 1 into 1 6.768 * [backup-simplify]: Simplify (+ 1 0) into 1 6.769 * [backup-simplify]: Simplify (/ 1 1) into 1 6.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.769 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.769 * [taylor]: Taking taylor expansion of y in y 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (/ 1 1) into 1 6.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.769 * [taylor]: Taking taylor expansion of 2 in y 6.769 * [backup-simplify]: Simplify 2 into 2 6.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.769 * [taylor]: Taking taylor expansion of x in y 6.769 * [backup-simplify]: Simplify x into x 6.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.769 * [taylor]: Taking taylor expansion of y in y 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (+ 1 0) into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [taylor]: Taking taylor expansion of 1 in x 6.770 * [backup-simplify]: Simplify 1 into 1 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.771 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.771 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 6.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.771 * [taylor]: Taking taylor expansion of 2 in x 6.772 * [backup-simplify]: Simplify 2 into 2 6.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.772 * [taylor]: Taking taylor expansion of x in x 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (/ 1 1) into 1 6.772 * [backup-simplify]: Simplify (* 2 1) into 2 6.772 * [backup-simplify]: Simplify 2 into 2 6.772 * [backup-simplify]: Simplify 1 into 1 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.774 * [backup-simplify]: Simplify (+ 0 0) into 0 6.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 6.775 * [taylor]: Taking taylor expansion of 0 in x 6.775 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.776 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.780 * [taylor]: Taking taylor expansion of 0 in x 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.782 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.784 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.784 * [backup-simplify]: Simplify (+ 0 0) into 0 6.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.786 * [taylor]: Taking taylor expansion of 0 in x 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 6.787 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.787 * [backup-simplify]: Simplify (+ (* y (+ (* 2 x) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 6.787 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 6.787 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 6.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.787 * [taylor]: Taking taylor expansion of x in x 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 6.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.787 * [taylor]: Taking taylor expansion of y in x 6.787 * [backup-simplify]: Simplify y into y 6.787 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.787 * [taylor]: Taking taylor expansion of 2 in x 6.787 * [backup-simplify]: Simplify 2 into 2 6.787 * [taylor]: Taking taylor expansion of (* x y) in x 6.787 * [taylor]: Taking taylor expansion of x in x 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [taylor]: Taking taylor expansion of y in x 6.787 * [backup-simplify]: Simplify y into y 6.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 6.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.788 * [taylor]: Taking taylor expansion of x in y 6.788 * [backup-simplify]: Simplify x into x 6.788 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 6.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.788 * [taylor]: Taking taylor expansion of y in y 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.788 * [taylor]: Taking taylor expansion of 2 in y 6.788 * [backup-simplify]: Simplify 2 into 2 6.788 * [taylor]: Taking taylor expansion of (* x y) in y 6.788 * [taylor]: Taking taylor expansion of x in y 6.788 * [backup-simplify]: Simplify x into x 6.788 * [taylor]: Taking taylor expansion of y in y 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 6.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.788 * [taylor]: Taking taylor expansion of x in y 6.788 * [backup-simplify]: Simplify x into x 6.788 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 6.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.788 * [taylor]: Taking taylor expansion of y in y 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.788 * [taylor]: Taking taylor expansion of 2 in y 6.788 * [backup-simplify]: Simplify 2 into 2 6.788 * [taylor]: Taking taylor expansion of (* x y) in y 6.788 * [taylor]: Taking taylor expansion of x in y 6.788 * [backup-simplify]: Simplify x into x 6.788 * [taylor]: Taking taylor expansion of y in y 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.789 * [backup-simplify]: Simplify (* x 0) into 0 6.789 * [backup-simplify]: Simplify (* 2 0) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.789 * [taylor]: Taking taylor expansion of x in x 6.789 * [backup-simplify]: Simplify 0 into 0 6.790 * [backup-simplify]: Simplify 1 into 1 6.790 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.790 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.790 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 6.790 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 6.791 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 6.791 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.791 * [taylor]: Taking taylor expansion of 2 in x 6.791 * [backup-simplify]: Simplify 2 into 2 6.791 * [taylor]: Taking taylor expansion of x in x 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [backup-simplify]: Simplify (* 2 0) into 0 6.791 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.792 * [backup-simplify]: Simplify (* 1 1) into 1 6.792 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 6.794 * [backup-simplify]: Simplify (+ 1 0) into 1 6.794 * [backup-simplify]: Simplify (+ 0 1) into 1 6.794 * [taylor]: Taking taylor expansion of 1 in x 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify 1 into 1 6.795 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.795 * [backup-simplify]: Simplify 2 into 2 6.795 * [backup-simplify]: Simplify (* 1 1) into 1 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [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)))) 6.796 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 6.796 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 6.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 6.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.796 * [taylor]: Taking taylor expansion of x in x 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (* 1 1) into 1 6.797 * [backup-simplify]: Simplify (/ 1 1) into 1 6.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 6.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.797 * [taylor]: Taking taylor expansion of y in x 6.797 * [backup-simplify]: Simplify y into y 6.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.797 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.797 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.797 * [taylor]: Taking taylor expansion of 2 in x 6.797 * [backup-simplify]: Simplify 2 into 2 6.797 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.797 * [taylor]: Taking taylor expansion of (* x y) in x 6.797 * [taylor]: Taking taylor expansion of x in x 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [taylor]: Taking taylor expansion of y in x 6.797 * [backup-simplify]: Simplify y into y 6.797 * [backup-simplify]: Simplify (* 0 y) into 0 6.798 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.798 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.798 * [taylor]: Taking taylor expansion of x in y 6.798 * [backup-simplify]: Simplify x into x 6.798 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.798 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.798 * [taylor]: Taking taylor expansion of y in y 6.798 * [backup-simplify]: Simplify 0 into 0 6.798 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (* 1 1) into 1 6.799 * [backup-simplify]: Simplify (/ 1 1) into 1 6.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.799 * [taylor]: Taking taylor expansion of 2 in y 6.799 * [backup-simplify]: Simplify 2 into 2 6.799 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.799 * [taylor]: Taking taylor expansion of (* x y) in y 6.799 * [taylor]: Taking taylor expansion of x in y 6.799 * [backup-simplify]: Simplify x into x 6.799 * [taylor]: Taking taylor expansion of y in y 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (* x 0) into 0 6.800 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.800 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.800 * [taylor]: Taking taylor expansion of x in y 6.800 * [backup-simplify]: Simplify x into x 6.800 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.800 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.800 * [taylor]: Taking taylor expansion of y in y 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (* 1 1) into 1 6.801 * [backup-simplify]: Simplify (/ 1 1) into 1 6.801 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.801 * [taylor]: Taking taylor expansion of 2 in y 6.801 * [backup-simplify]: Simplify 2 into 2 6.801 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.801 * [taylor]: Taking taylor expansion of (* x y) in y 6.801 * [taylor]: Taking taylor expansion of x in y 6.801 * [backup-simplify]: Simplify x into x 6.801 * [taylor]: Taking taylor expansion of y in y 6.801 * [backup-simplify]: Simplify 0 into 0 6.801 * [backup-simplify]: Simplify 1 into 1 6.801 * [backup-simplify]: Simplify (* x 0) into 0 6.801 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.801 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.802 * [backup-simplify]: Simplify (+ 1 0) into 1 6.802 * [backup-simplify]: Simplify (+ 0 1) into 1 6.802 * [taylor]: Taking taylor expansion of 1 in x 6.802 * [backup-simplify]: Simplify 1 into 1 6.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.803 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.803 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.804 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 6.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.804 * [taylor]: Taking taylor expansion of 2 in x 6.804 * [backup-simplify]: Simplify 2 into 2 6.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.804 * [taylor]: Taking taylor expansion of x in x 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (/ 1 1) into 1 6.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.806 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.807 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.807 * [backup-simplify]: Simplify (+ 0 0) into 0 6.807 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.807 * [taylor]: Taking taylor expansion of x in x 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (* 1 1) into 1 6.808 * [backup-simplify]: Simplify (/ 1 1) into 1 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (* 2 1) into 2 6.808 * [backup-simplify]: Simplify 2 into 2 6.808 * [backup-simplify]: Simplify 1 into 1 6.809 * [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)))) 6.809 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 6.809 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 6.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 6.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.809 * [taylor]: Taking taylor expansion of x in x 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (* 1 1) into 1 6.810 * [backup-simplify]: Simplify (/ 1 1) into 1 6.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 6.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.810 * [taylor]: Taking taylor expansion of y in x 6.810 * [backup-simplify]: Simplify y into y 6.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.810 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.810 * [taylor]: Taking taylor expansion of 2 in x 6.811 * [backup-simplify]: Simplify 2 into 2 6.811 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.811 * [taylor]: Taking taylor expansion of (* x y) in x 6.811 * [taylor]: Taking taylor expansion of x in x 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.811 * [taylor]: Taking taylor expansion of y in x 6.811 * [backup-simplify]: Simplify y into y 6.811 * [backup-simplify]: Simplify (* 0 y) into 0 6.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.811 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.811 * [taylor]: Taking taylor expansion of x in y 6.811 * [backup-simplify]: Simplify x into x 6.811 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.811 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.812 * [taylor]: Taking taylor expansion of y in y 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 1 into 1 6.812 * [backup-simplify]: Simplify (* 1 1) into 1 6.812 * [backup-simplify]: Simplify (/ 1 1) into 1 6.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.812 * [taylor]: Taking taylor expansion of 2 in y 6.812 * [backup-simplify]: Simplify 2 into 2 6.812 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.812 * [taylor]: Taking taylor expansion of (* x y) in y 6.812 * [taylor]: Taking taylor expansion of x in y 6.812 * [backup-simplify]: Simplify x into x 6.812 * [taylor]: Taking taylor expansion of y in y 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (* x 0) into 0 6.813 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.813 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.813 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.813 * [taylor]: Taking taylor expansion of x in y 6.813 * [backup-simplify]: Simplify x into x 6.813 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.813 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.813 * [taylor]: Taking taylor expansion of y in y 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.814 * [taylor]: Taking taylor expansion of 2 in y 6.814 * [backup-simplify]: Simplify 2 into 2 6.814 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.814 * [taylor]: Taking taylor expansion of (* x y) in y 6.814 * [taylor]: Taking taylor expansion of x in y 6.814 * [backup-simplify]: Simplify x into x 6.814 * [taylor]: Taking taylor expansion of y in y 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (* x 0) into 0 6.815 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.815 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.815 * [backup-simplify]: Simplify (+ 1 0) into 1 6.815 * [backup-simplify]: Simplify (+ 0 1) into 1 6.816 * [taylor]: Taking taylor expansion of 1 in x 6.816 * [backup-simplify]: Simplify 1 into 1 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.817 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.817 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 6.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.817 * [taylor]: Taking taylor expansion of 2 in x 6.817 * [backup-simplify]: Simplify 2 into 2 6.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.817 * [taylor]: Taking taylor expansion of x in x 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ 1 1) into 1 6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.820 * [taylor]: Taking taylor expansion of x in x 6.820 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (* 1 1) into 1 6.821 * [backup-simplify]: Simplify (/ 1 1) into 1 6.821 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* 2 1) into 2 6.822 * [backup-simplify]: Simplify 2 into 2 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [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)))) 6.823 * * * [progress]: simplifying candidates 6.823 * [simplify]: Simplifying: (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* y (+ (* 2 x) y))) (exp (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (* (* (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x))) (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* x x)))) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* x x))) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (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 x 2) (+ (pow y 2) (* 2 (* x y)))) 6.825 * * [simplify]: Extracting # 0 : cost 0 6.825 * * [simplify]: Extracting # 1 : cost 0 6.825 * * [simplify]: Extracting # 2 : cost 0 6.825 * * [simplify]: Extracting # 3 : cost 0 6.825 * * [simplify]: Extracting # 4 : cost 0 6.825 * * [simplify]: Extracting # 5 : cost 0 6.825 * * [simplify]: Extracting # 6 : cost 0 6.826 * * [simplify]: Extracting # 7 : cost 0 6.826 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 6.861 * * [simplify]: Extracting # 0 : cost 0 6.861 * * [simplify]: Extracting # 1 : cost 0 6.862 * * [simplify]: Extracting # 2 : cost 0 6.862 * * [simplify]: Extracting # 3 : cost 0 6.863 * * [simplify]: iteration 1 : 216 enodes (cost 485 ) 7.016 * * [simplify]: Extracting # 0 : cost 0 7.017 * * [simplify]: Extracting # 1 : cost 0 7.019 * * [simplify]: Extracting # 2 : cost 0 7.020 * * [simplify]: Extracting # 3 : cost 0 7.021 * * [simplify]: Extracting # 4 : cost 0 7.022 * * [simplify]: iteration 2 : 736 enodes (cost 445 ) 7.895 * * [simplify]: Extracting # 0 : cost 0 7.902 * * [simplify]: Extracting # 1 : cost 0 7.906 * * [simplify]: Extracting # 2 : cost 0 7.910 * * [simplify]: Extracting # 3 : cost 0 7.915 * * [simplify]: Extracting # 4 : cost 0 7.919 * * [simplify]: iteration 3 : 3389 enodes (cost 437 ) 9.383 * * [simplify]: Extracting # 0 : cost 0 9.390 * * [simplify]: Extracting # 1 : cost 0 9.405 * * [simplify]: Extracting # 2 : cost 0 9.412 * * [simplify]: Extracting # 3 : cost 0 9.419 * * [simplify]: Extracting # 4 : cost 0 9.427 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 9.427 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (log (* (+ (* 2 x) y) y)) (log (* (+ (* 2 x) y) y)) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (pow (+ (* (+ (* 2 x) y) y) (pow x 2)) 3) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow x 6)) (+ (* (* (+ (* 2 x) y) y) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (pow x 4)) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) 9.427 * * * [progress]: adding candidates to table 9.541 * [progress]: [Phase 3 of 3] Extracting. 9.541 * * [regime]: Finding splitpoints for: (# #) 9.541 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.541 * * * * [regimes]: Trying to branch on y from (# #) 9.552 * * * * [regimes]: Trying to branch on x from (# #) 9.562 * * * [regime]: Found split indices: #