53.730 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: Extracting # 3 : cost 0 0.022 * * [simplify]: Extracting # 4 : cost 0 0.022 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 3 : 53 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 4 : 72 enodes (cost 7 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.055 * * [simplify]: Extracting # 2 : cost 0 0.055 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.092 * * [simplify]: Extracting # 0 : cost 0 0.092 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.111 * * [simplify]: Extracting # 0 : cost 0 0.111 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.111 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.111 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.118 * * * [progress]: generating rewritten candidates 0.118 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.176 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.176 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.176 * [taylor]: Taking taylor expansion of (+ x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [backup-simplify]: Simplify x into x 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ x 0) into x 0.176 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.176 * [taylor]: Taking taylor expansion of (+ x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [backup-simplify]: Simplify y into y 0.176 * [backup-simplify]: Simplify (+ 0 y) into y 0.176 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.176 * [taylor]: Taking taylor expansion of (+ x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [backup-simplify]: Simplify y into y 0.176 * [backup-simplify]: Simplify (+ 0 y) into y 0.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.177 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [backup-simplify]: Simplify 2 into 2 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 2 0) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.179 * [backup-simplify]: Simplify 2 into 2 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [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)))) 0.180 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.180 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [backup-simplify]: Simplify x into x 0.181 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.184 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [backup-simplify]: Simplify 2 into 2 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 2 1) into 2 0.188 * [backup-simplify]: Simplify 2 into 2 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [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)))) 0.189 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.189 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [backup-simplify]: Simplify y into y 0.190 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (+ 0 1) into 1 0.191 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.193 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.193 * [taylor]: Taking taylor expansion of 2 in y 0.193 * [backup-simplify]: Simplify 2 into 2 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 2 1) into 2 0.196 * [backup-simplify]: Simplify 2 into 2 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [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)))) 0.197 * * * [progress]: simplifying candidates 0.198 * [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)))) 0.199 * * [simplify]: Extracting # 0 : cost 0 0.199 * * [simplify]: Extracting # 1 : cost 0 0.199 * * [simplify]: Extracting # 2 : cost 0 0.199 * * [simplify]: Extracting # 3 : cost 0 0.200 * * [simplify]: Extracting # 4 : cost 0 0.200 * * [simplify]: Extracting # 5 : cost 0 0.200 * * [simplify]: Extracting # 6 : cost 0 0.200 * * [simplify]: Extracting # 7 : cost 0 0.200 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.225 * * [simplify]: Extracting # 1 : cost 0 0.225 * * [simplify]: Extracting # 2 : cost 0 0.225 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.226 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.333 * * [simplify]: Extracting # 0 : cost 0 0.335 * * [simplify]: Extracting # 1 : cost 0 0.341 * * [simplify]: Extracting # 2 : cost 0 0.342 * * [simplify]: Extracting # 3 : cost 0 0.343 * * [simplify]: Extracting # 4 : cost 0 0.344 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.270 * * [simplify]: Extracting # 0 : cost 0 1.275 * * [simplify]: Extracting # 1 : cost 0 1.279 * * [simplify]: Extracting # 2 : cost 0 1.282 * * [simplify]: Extracting # 3 : cost 0 1.285 * * [simplify]: Extracting # 4 : cost 0 1.291 * * [simplify]: Extracting # 5 : cost 0 1.295 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.697 * * [simplify]: Extracting # 0 : cost 0 2.702 * * [simplify]: Extracting # 1 : cost 0 2.707 * * [simplify]: Extracting # 2 : cost 0 2.712 * * [simplify]: Extracting # 3 : cost 0 2.717 * * [simplify]: Extracting # 4 : cost 0 2.721 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.722 * [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)) 2.722 * * * [progress]: adding candidates to table 2.778 * * [progress]: iteration 2 / 4 2.778 * * * [progress]: picking best candidate 2.786 * * * * [pick]: Picked # 2.786 * * * [progress]: localizing error 2.795 * * * [progress]: generating rewritten candidates 2.795 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.823 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.848 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.882 * * * [progress]: generating series expansions 2.882 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.882 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.882 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.882 * [taylor]: Taking taylor expansion of x in y 2.882 * [backup-simplify]: Simplify x into x 2.882 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.882 * [taylor]: Taking taylor expansion of y in y 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.882 * [taylor]: Taking taylor expansion of 2 in y 2.882 * [backup-simplify]: Simplify 2 into 2 2.882 * [taylor]: Taking taylor expansion of (* x y) in y 2.882 * [taylor]: Taking taylor expansion of x in y 2.882 * [backup-simplify]: Simplify x into x 2.882 * [taylor]: Taking taylor expansion of y in y 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.883 * [taylor]: Taking taylor expansion of x in x 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.883 * [taylor]: Taking taylor expansion of y in x 2.883 * [backup-simplify]: Simplify y into y 2.883 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.883 * [taylor]: Taking taylor expansion of 2 in x 2.883 * [backup-simplify]: Simplify 2 into 2 2.883 * [taylor]: Taking taylor expansion of (* x y) in x 2.883 * [taylor]: Taking taylor expansion of x in x 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of y in x 2.883 * [backup-simplify]: Simplify y into y 2.883 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.883 * [taylor]: Taking taylor expansion of x in x 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.883 * [taylor]: Taking taylor expansion of y in x 2.883 * [backup-simplify]: Simplify y into y 2.883 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.883 * [taylor]: Taking taylor expansion of 2 in x 2.883 * [backup-simplify]: Simplify 2 into 2 2.883 * [taylor]: Taking taylor expansion of (* x y) in x 2.883 * [taylor]: Taking taylor expansion of x in x 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of y in x 2.883 * [backup-simplify]: Simplify y into y 2.883 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.883 * [backup-simplify]: Simplify (* 0 y) into 0 2.884 * [backup-simplify]: Simplify (* 2 0) into 0 2.884 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.884 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.884 * [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 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.885 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.886 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.886 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.886 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.886 * [taylor]: Taking taylor expansion of 2 in y 2.886 * [backup-simplify]: Simplify 2 into 2 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 2.886 * [backup-simplify]: Simplify (* 2 0) into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.887 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify (+ 1 0) into 1 2.889 * [taylor]: Taking taylor expansion of 1 in y 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.890 * [backup-simplify]: Simplify 2 into 2 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [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)))) 2.891 * [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))))) 2.891 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.891 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.891 * [taylor]: Taking taylor expansion of x in y 2.891 * [backup-simplify]: Simplify x into x 2.891 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.891 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.891 * [taylor]: Taking taylor expansion of y in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.892 * [taylor]: Taking taylor expansion of 2 in y 2.892 * [backup-simplify]: Simplify 2 into 2 2.892 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.892 * [taylor]: Taking taylor expansion of (* x y) in y 2.892 * [taylor]: Taking taylor expansion of x in y 2.892 * [backup-simplify]: Simplify x into 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 2.892 * [backup-simplify]: Simplify (* x 0) into 0 2.892 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.892 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.892 * [taylor]: Taking taylor expansion of x in x 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 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 2.893 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.893 * [taylor]: Taking taylor expansion of 2 in x 2.893 * [backup-simplify]: Simplify 2 into 2 2.893 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.893 * [taylor]: Taking taylor expansion of (* x y) 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 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.893 * [backup-simplify]: Simplify (* 0 y) into 0 2.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.893 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow x 2) 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 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 2.894 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.894 * [taylor]: Taking taylor expansion of 2 in x 2.894 * [backup-simplify]: Simplify 2 into 2 2.894 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.894 * [taylor]: Taking taylor expansion of (* x y) 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 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [backup-simplify]: Simplify y into y 2.894 * [backup-simplify]: Simplify (* 0 y) into 0 2.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.895 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.895 * [backup-simplify]: Simplify (+ 1 0) into 1 2.895 * [taylor]: Taking taylor expansion of 1 in y 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.896 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.896 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.896 * [taylor]: Taking taylor expansion of 2 in y 2.896 * [backup-simplify]: Simplify 2 into 2 2.896 * [taylor]: Taking taylor expansion of (/ 1 y) 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 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.898 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.899 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.899 * [taylor]: Taking taylor expansion of y in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (* 1 1) into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (* 2 1) into 2 2.899 * [backup-simplify]: Simplify 2 into 2 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [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)))) 2.900 * [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))))) 2.900 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.900 * [taylor]: Taking taylor expansion of x in y 2.900 * [backup-simplify]: Simplify x into x 2.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.901 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.901 * [taylor]: Taking taylor expansion of y in y 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (* 1 1) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.901 * [taylor]: Taking taylor expansion of 2 in y 2.901 * [backup-simplify]: Simplify 2 into 2 2.901 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.901 * [taylor]: Taking taylor expansion of (* x y) in y 2.901 * [taylor]: Taking taylor expansion of x in y 2.901 * [backup-simplify]: Simplify x into x 2.901 * [taylor]: Taking taylor expansion of y in y 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (* x 0) into 0 2.902 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.902 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.902 * [taylor]: Taking taylor expansion of x in x 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.902 * [taylor]: Taking taylor expansion of y in x 2.902 * [backup-simplify]: Simplify y into y 2.902 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.902 * [taylor]: Taking taylor expansion of 2 in x 2.902 * [backup-simplify]: Simplify 2 into 2 2.902 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.902 * [taylor]: Taking taylor expansion of (* x y) in x 2.902 * [taylor]: Taking taylor expansion of x in x 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of y in x 2.903 * [backup-simplify]: Simplify y into y 2.903 * [backup-simplify]: Simplify (* 0 y) into 0 2.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.903 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.903 * [taylor]: Taking taylor expansion of x in x 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [backup-simplify]: Simplify y into y 2.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.907 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.907 * [taylor]: Taking taylor expansion of 2 in x 2.907 * [backup-simplify]: Simplify 2 into 2 2.907 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.907 * [taylor]: Taking taylor expansion of (* x y) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [backup-simplify]: Simplify y into y 2.907 * [backup-simplify]: Simplify (* 0 y) into 0 2.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.908 * [backup-simplify]: Simplify (+ 1 0) into 1 2.908 * [taylor]: Taking taylor expansion of 1 in y 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.908 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.909 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.909 * [taylor]: Taking taylor expansion of 2 in y 2.909 * [backup-simplify]: Simplify 2 into 2 2.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.909 * [taylor]: Taking taylor expansion of y in y 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (/ 1 1) into 1 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.911 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.912 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.912 * [taylor]: Taking taylor expansion of y in y 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (* 1 1) into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 2 1) into 2 2.913 * [backup-simplify]: Simplify 2 into 2 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [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)))) 2.913 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.914 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.914 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.914 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.914 * [taylor]: Taking taylor expansion of x in y 2.914 * [backup-simplify]: Simplify x into x 2.914 * [taylor]: Taking taylor expansion of (+ x y) in y 2.914 * [taylor]: Taking taylor expansion of x in y 2.914 * [backup-simplify]: Simplify x into x 2.914 * [taylor]: Taking taylor expansion of y in y 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of (+ x y) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [backup-simplify]: Simplify y into y 2.914 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of (+ x y) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [backup-simplify]: Simplify y into y 2.914 * [backup-simplify]: Simplify (+ 0 y) into y 2.914 * [backup-simplify]: Simplify (* 0 y) into 0 2.914 * [taylor]: Taking taylor expansion of 0 in y 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ 1 0) into 1 2.915 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.915 * [taylor]: Taking taylor expansion of y in y 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.916 * [taylor]: Taking taylor expansion of 1 in y 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.917 * [taylor]: Taking taylor expansion of 0 in y 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.918 * [taylor]: Taking taylor expansion of 0 in y 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.919 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.919 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.919 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.919 * [taylor]: Taking taylor expansion of y in y 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (/ 1 1) into 1 2.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.919 * [taylor]: Taking taylor expansion of x in y 2.919 * [backup-simplify]: Simplify x into x 2.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.919 * [taylor]: Taking taylor expansion of x in y 2.919 * [backup-simplify]: Simplify x into x 2.919 * [backup-simplify]: Simplify (+ 1 0) into 1 2.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.920 * [taylor]: Taking taylor expansion of y in x 2.920 * [backup-simplify]: Simplify y into y 2.920 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [taylor]: Taking taylor expansion of x in x 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (+ 0 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.921 * [taylor]: Taking taylor expansion of y in x 2.921 * [backup-simplify]: Simplify y into y 2.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (+ 0 1) into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [taylor]: Taking taylor expansion of 1 in y 2.922 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.923 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.923 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.926 * [taylor]: Taking taylor expansion of 0 in y 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) 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 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [taylor]: Taking taylor expansion of 0 in y 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.935 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.935 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.935 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 x) in y 2.935 * [taylor]: Taking taylor expansion of x in y 2.935 * [backup-simplify]: Simplify x into x 2.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.935 * [taylor]: Taking taylor expansion of x in y 2.935 * [backup-simplify]: Simplify x into x 2.936 * [backup-simplify]: Simplify (+ 1 0) into 1 2.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.936 * [taylor]: Taking taylor expansion of y in x 2.936 * [backup-simplify]: Simplify y into y 2.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (+ 0 1) into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.937 * [taylor]: Taking taylor expansion of y in x 2.937 * [backup-simplify]: Simplify y into y 2.937 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (+ 0 1) into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of 1 in y 2.939 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.940 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.940 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.940 * [taylor]: Taking taylor expansion of y in y 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.942 * [taylor]: Taking taylor expansion of 0 in y 2.942 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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)))) 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 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [taylor]: Taking taylor expansion of 0 in y 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.951 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.951 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 2.951 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 2.951 * [taylor]: Taking taylor expansion of (* y (+ x 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 2.951 * [taylor]: Taking taylor expansion of (+ x y) in y 2.951 * [taylor]: Taking taylor expansion of x in y 2.951 * [backup-simplify]: Simplify x into x 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 2.951 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.951 * [taylor]: Taking taylor expansion of y in x 2.951 * [backup-simplify]: Simplify y into y 2.951 * [taylor]: Taking taylor expansion of (+ x y) in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of y in x 2.951 * [backup-simplify]: Simplify y into y 2.951 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.951 * [taylor]: Taking taylor expansion of y in x 2.951 * [backup-simplify]: Simplify y into y 2.951 * [taylor]: Taking taylor expansion of (+ x y) in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of y in x 2.951 * [backup-simplify]: Simplify y into y 2.952 * [backup-simplify]: Simplify (+ 0 y) into y 2.952 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.952 * [taylor]: Taking taylor expansion of y in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (+ 1 0) into 1 2.952 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 2.952 * [taylor]: Taking taylor expansion of y in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 2.953 * [taylor]: Taking taylor expansion of 0 in y 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (* 1 1) into 1 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.955 * [taylor]: Taking taylor expansion of 0 in y 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) 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 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 2.957 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.957 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.957 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.957 * [taylor]: Taking taylor expansion of y in y 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.958 * [taylor]: Taking taylor expansion of x in y 2.958 * [backup-simplify]: Simplify x into x 2.958 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.958 * [taylor]: Taking taylor expansion of y in y 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (+ 1 0) into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.959 * [taylor]: Taking taylor expansion of y in x 2.959 * [backup-simplify]: Simplify y into y 2.959 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.959 * [taylor]: Taking taylor expansion of x in x 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of y in x 2.959 * [backup-simplify]: Simplify y into y 2.960 * [backup-simplify]: Simplify (+ 0 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.960 * [taylor]: Taking taylor expansion of y in x 2.960 * [backup-simplify]: Simplify y into y 2.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.960 * [taylor]: Taking taylor expansion of x in x 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [taylor]: Taking taylor expansion of y in x 2.961 * [backup-simplify]: Simplify y into y 2.961 * [backup-simplify]: Simplify (+ 0 1) into 1 2.961 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.961 * [taylor]: Taking taylor expansion of y in y 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.963 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 * [backup-simplify]: Simplify (* 1 1) into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in y 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.969 * [taylor]: Taking taylor expansion of 0 in y 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.973 * [taylor]: Taking taylor expansion of 0 in y 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 2.975 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.975 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.975 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.975 * [taylor]: Taking taylor expansion of y in y 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.976 * [taylor]: Taking taylor expansion of x in y 2.976 * [backup-simplify]: Simplify x into x 2.976 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.976 * [taylor]: Taking taylor expansion of y in y 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.977 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.977 * [taylor]: Taking taylor expansion of y in x 2.977 * [backup-simplify]: Simplify y into y 2.977 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.977 * [taylor]: Taking taylor expansion of x in x 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [taylor]: Taking taylor expansion of y in x 2.977 * [backup-simplify]: Simplify y into y 2.978 * [backup-simplify]: Simplify (+ 0 1) into 1 2.978 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.978 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.978 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.978 * [taylor]: Taking taylor expansion of y in x 2.978 * [backup-simplify]: Simplify y into y 2.978 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.978 * [taylor]: Taking taylor expansion of x in x 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of y in x 2.978 * [backup-simplify]: Simplify y into y 2.979 * [backup-simplify]: Simplify (+ 0 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.979 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.979 * [taylor]: Taking taylor expansion of y in y 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.980 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) 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 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.981 * [taylor]: Taking taylor expansion of 0 in y 2.981 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.984 * [taylor]: Taking taylor expansion of 0 in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.987 * [taylor]: Taking taylor expansion of 0 in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 2.988 * * * [progress]: simplifying candidates 2.989 * [simplify]: Simplifying: (* (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) (* (+ 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) (* (+ 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) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 2.991 * * [simplify]: Extracting # 0 : cost 0 2.991 * * [simplify]: Extracting # 1 : cost 0 2.991 * * [simplify]: Extracting # 2 : cost 0 2.991 * * [simplify]: Extracting # 3 : cost 0 2.991 * * [simplify]: Extracting # 4 : cost 0 2.991 * * [simplify]: Extracting # 5 : cost 0 2.991 * * [simplify]: Extracting # 6 : cost 0 2.992 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 3.020 * * [simplify]: Extracting # 0 : cost 0 3.021 * * [simplify]: Extracting # 1 : cost 0 3.021 * * [simplify]: Extracting # 2 : cost 0 3.021 * * [simplify]: Extracting # 3 : cost 0 3.022 * * [simplify]: Extracting # 4 : cost 0 3.022 * * [simplify]: Extracting # 5 : cost 0 3.022 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 3.171 * * [simplify]: Extracting # 0 : cost 0 3.172 * * [simplify]: Extracting # 1 : cost 0 3.174 * * [simplify]: Extracting # 2 : cost 0 3.175 * * [simplify]: Extracting # 3 : cost 0 3.176 * * [simplify]: Extracting # 4 : cost 0 3.177 * * [simplify]: iteration 2 : 1100 enodes (cost 636 ) 4.423 * * [simplify]: Extracting # 0 : cost 0 4.431 * * [simplify]: Extracting # 1 : cost 0 4.439 * * [simplify]: Extracting # 2 : cost 0 4.446 * * [simplify]: Extracting # 3 : cost 0 4.451 * * [simplify]: Extracting # 4 : cost 0 4.456 * * [simplify]: iteration 3 : 4974 enodes (cost 610 ) 6.196 * * [simplify]: Extracting # 0 : cost 0 6.202 * * [simplify]: Extracting # 1 : cost 0 6.211 * * [simplify]: Extracting # 2 : cost 0 6.216 * * [simplify]: Extracting # 3 : cost 0 6.222 * * [simplify]: iteration done: 5001 enodes (cost 610 ) 6.223 * [simplify]: Simplified to: (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)) (* (* (+ (* x x) (* y (- y x))) (+ (pow x 3) (pow y 3))) (+ x y)) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) y))) (* (- x y) (+ (* x x) (* y (- y x)))) (+ (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) x)) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (* y (- y x)))) (* (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* (+ x y) (* x x)) (* y (* (+ x y) (- y x))))) (* (pow (+ x y) 3) (- x y)) (- (pow x 2) (pow y 2)) (+ x y) (* x (+ x y)) (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 (+ x y)) (* x (+ x y)) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (+ 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) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) 6.224 * * * [progress]: adding candidates to table 6.381 * * [progress]: iteration 3 / 4 6.381 * * * [progress]: picking best candidate 6.389 * * * * [pick]: Picked # 6.389 * * * [progress]: localizing error 6.397 * * * [progress]: generating rewritten candidates 6.397 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.414 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.435 * * * [progress]: generating series expansions 6.435 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.436 * [backup-simplify]: Simplify (+ (* y (+ y (* 2 x))) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 6.436 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 6.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 6.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.436 * [taylor]: Taking taylor expansion of x in x 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 6.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.436 * [taylor]: Taking taylor expansion of y in x 6.436 * [backup-simplify]: Simplify y into y 6.436 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.436 * [taylor]: Taking taylor expansion of 2 in x 6.436 * [backup-simplify]: Simplify 2 into 2 6.436 * [taylor]: Taking taylor expansion of (* x y) in x 6.436 * [taylor]: Taking taylor expansion of x in x 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of y in x 6.436 * [backup-simplify]: Simplify y into y 6.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 6.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.436 * [taylor]: Taking taylor expansion of x in y 6.436 * [backup-simplify]: Simplify x into x 6.436 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 6.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.436 * [taylor]: Taking taylor expansion of y in y 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.436 * [taylor]: Taking taylor expansion of 2 in y 6.436 * [backup-simplify]: Simplify 2 into 2 6.436 * [taylor]: Taking taylor expansion of (* x y) in y 6.436 * [taylor]: Taking taylor expansion of x in y 6.436 * [backup-simplify]: Simplify x into x 6.436 * [taylor]: Taking taylor expansion of y in y 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 6.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.436 * [taylor]: Taking taylor expansion of x in y 6.436 * [backup-simplify]: Simplify x into x 6.436 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 6.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.436 * [taylor]: Taking taylor expansion of y in y 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.436 * [taylor]: Taking taylor expansion of 2 in y 6.436 * [backup-simplify]: Simplify 2 into 2 6.436 * [taylor]: Taking taylor expansion of (* x y) in y 6.436 * [taylor]: Taking taylor expansion of x in y 6.436 * [backup-simplify]: Simplify x into x 6.436 * [taylor]: Taking taylor expansion of y in y 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.437 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.437 * [backup-simplify]: Simplify (* x 0) into 0 6.437 * [backup-simplify]: Simplify (* 2 0) into 0 6.438 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.438 * [taylor]: Taking taylor expansion of x in x 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 1 into 1 6.438 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.438 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.438 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 6.438 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 6.439 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 6.439 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.439 * [taylor]: Taking taylor expansion of 2 in x 6.439 * [backup-simplify]: Simplify 2 into 2 6.439 * [taylor]: Taking taylor expansion of x in x 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.439 * [backup-simplify]: Simplify (* 2 0) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.439 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 6.441 * [backup-simplify]: Simplify (+ 1 0) into 1 6.442 * [backup-simplify]: Simplify (+ 0 1) into 1 6.442 * [taylor]: Taking taylor expansion of 1 in x 6.442 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.442 * [backup-simplify]: Simplify 2 into 2 6.443 * [backup-simplify]: Simplify (* 1 1) into 1 6.443 * [backup-simplify]: Simplify 1 into 1 6.443 * [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)))) 6.443 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 6.444 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 6.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 6.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (* 1 1) into 1 6.444 * [backup-simplify]: Simplify (/ 1 1) into 1 6.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 6.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.444 * [taylor]: Taking taylor expansion of y in x 6.444 * [backup-simplify]: Simplify y into y 6.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.445 * [taylor]: Taking taylor expansion of 2 in x 6.445 * [backup-simplify]: Simplify 2 into 2 6.445 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.445 * [taylor]: Taking taylor expansion of (* x y) in x 6.445 * [taylor]: Taking taylor expansion of x in x 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [taylor]: Taking taylor expansion of y in x 6.445 * [backup-simplify]: Simplify y into y 6.445 * [backup-simplify]: Simplify (* 0 y) into 0 6.445 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.445 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.445 * [taylor]: Taking taylor expansion of x in y 6.446 * [backup-simplify]: Simplify x into x 6.446 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.446 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.446 * [taylor]: Taking taylor expansion of y in y 6.446 * [backup-simplify]: Simplify 0 into 0 6.446 * [backup-simplify]: Simplify 1 into 1 6.446 * [backup-simplify]: Simplify (* 1 1) into 1 6.446 * [backup-simplify]: Simplify (/ 1 1) into 1 6.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.447 * [taylor]: Taking taylor expansion of 2 in y 6.447 * [backup-simplify]: Simplify 2 into 2 6.447 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.447 * [taylor]: Taking taylor expansion of (* x y) in y 6.447 * [taylor]: Taking taylor expansion of x in y 6.447 * [backup-simplify]: Simplify x into x 6.447 * [taylor]: Taking taylor expansion of y in y 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (* x 0) into 0 6.447 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.447 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.447 * [taylor]: Taking taylor expansion of x in y 6.447 * [backup-simplify]: Simplify x into x 6.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.448 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.448 * [taylor]: Taking taylor expansion of y in y 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.448 * [backup-simplify]: Simplify (* 1 1) into 1 6.448 * [backup-simplify]: Simplify (/ 1 1) into 1 6.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.448 * [taylor]: Taking taylor expansion of 2 in y 6.448 * [backup-simplify]: Simplify 2 into 2 6.448 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.449 * [taylor]: Taking taylor expansion of (* x y) in y 6.449 * [taylor]: Taking taylor expansion of x in y 6.449 * [backup-simplify]: Simplify x into x 6.449 * [taylor]: Taking taylor expansion of y in y 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [backup-simplify]: Simplify (* x 0) into 0 6.449 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.449 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.449 * [backup-simplify]: Simplify (+ 1 0) into 1 6.450 * [backup-simplify]: Simplify (+ 0 1) into 1 6.450 * [taylor]: Taking taylor expansion of 1 in x 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.451 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.451 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 6.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.451 * [taylor]: Taking taylor expansion of 2 in x 6.451 * [backup-simplify]: Simplify 2 into 2 6.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (/ 1 1) into 1 6.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.453 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.453 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.453 * [backup-simplify]: Simplify (+ 0 0) into 0 6.453 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (* 1 1) into 1 6.454 * [backup-simplify]: Simplify (/ 1 1) into 1 6.454 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (* 2 1) into 2 6.454 * [backup-simplify]: Simplify 2 into 2 6.454 * [backup-simplify]: Simplify 1 into 1 6.455 * [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)))) 6.455 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 6.455 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 6.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 6.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.455 * [taylor]: Taking taylor expansion of x in x 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 1 into 1 6.455 * [backup-simplify]: Simplify (* 1 1) into 1 6.456 * [backup-simplify]: Simplify (/ 1 1) into 1 6.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 6.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.456 * [taylor]: Taking taylor expansion of y in x 6.456 * [backup-simplify]: Simplify y into y 6.456 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.456 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.456 * [taylor]: Taking taylor expansion of 2 in x 6.456 * [backup-simplify]: Simplify 2 into 2 6.456 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.456 * [taylor]: Taking taylor expansion of (* x y) in x 6.456 * [taylor]: Taking taylor expansion of x in x 6.456 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify 1 into 1 6.456 * [taylor]: Taking taylor expansion of y in x 6.456 * [backup-simplify]: Simplify y into y 6.456 * [backup-simplify]: Simplify (* 0 y) into 0 6.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.456 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.456 * [taylor]: Taking taylor expansion of x in y 6.456 * [backup-simplify]: Simplify x into x 6.456 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.457 * [taylor]: Taking taylor expansion of y in y 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.457 * [backup-simplify]: Simplify (* 1 1) into 1 6.457 * [backup-simplify]: Simplify (/ 1 1) into 1 6.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.457 * [taylor]: Taking taylor expansion of 2 in y 6.457 * [backup-simplify]: Simplify 2 into 2 6.457 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.457 * [taylor]: Taking taylor expansion of (* x y) in y 6.457 * [taylor]: Taking taylor expansion of x in y 6.457 * [backup-simplify]: Simplify x into x 6.457 * [taylor]: Taking taylor expansion of y in y 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.457 * [backup-simplify]: Simplify (* x 0) into 0 6.458 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.458 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.458 * [taylor]: Taking taylor expansion of x in y 6.458 * [backup-simplify]: Simplify x into x 6.458 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.458 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.458 * [taylor]: Taking taylor expansion of y in y 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (* 1 1) into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.458 * [taylor]: Taking taylor expansion of 2 in y 6.458 * [backup-simplify]: Simplify 2 into 2 6.458 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.458 * [taylor]: Taking taylor expansion of (* x y) in y 6.458 * [taylor]: Taking taylor expansion of x in y 6.459 * [backup-simplify]: Simplify x into x 6.459 * [taylor]: Taking taylor expansion of y in y 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [backup-simplify]: Simplify (* x 0) into 0 6.459 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.459 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.459 * [backup-simplify]: Simplify (+ 1 0) into 1 6.459 * [backup-simplify]: Simplify (+ 0 1) into 1 6.459 * [taylor]: Taking taylor expansion of 1 in x 6.459 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.460 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.460 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.460 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 6.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.461 * [taylor]: Taking taylor expansion of 2 in x 6.461 * [backup-simplify]: Simplify 2 into 2 6.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.461 * [taylor]: Taking taylor expansion of x in x 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.463 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.463 * [taylor]: Taking taylor expansion of x in x 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (* 1 1) into 1 6.464 * [backup-simplify]: Simplify (/ 1 1) into 1 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (* 2 1) into 2 6.464 * [backup-simplify]: Simplify 2 into 2 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [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)))) 6.464 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.465 * [backup-simplify]: Simplify (* y (+ y (* 2 x))) into (* (+ (* 2 x) y) y) 6.465 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 6.465 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 6.465 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 6.465 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.465 * [taylor]: Taking taylor expansion of 2 in x 6.465 * [backup-simplify]: Simplify 2 into 2 6.465 * [taylor]: Taking taylor expansion of x in x 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of y in x 6.465 * [backup-simplify]: Simplify y into y 6.465 * [taylor]: Taking taylor expansion of y in x 6.465 * [backup-simplify]: Simplify y into y 6.465 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.465 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.465 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.465 * [taylor]: Taking taylor expansion of 2 in y 6.465 * [backup-simplify]: Simplify 2 into 2 6.465 * [taylor]: Taking taylor expansion of x in y 6.465 * [backup-simplify]: Simplify x into x 6.465 * [taylor]: Taking taylor expansion of y in y 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of y in y 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.465 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.465 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.465 * [taylor]: Taking taylor expansion of 2 in y 6.465 * [backup-simplify]: Simplify 2 into 2 6.465 * [taylor]: Taking taylor expansion of x in y 6.465 * [backup-simplify]: Simplify x into x 6.465 * [taylor]: Taking taylor expansion of y in y 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of y in y 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 6.465 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 6.465 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 6.465 * [taylor]: Taking taylor expansion of 0 in x 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 6.466 * [backup-simplify]: Simplify (+ 0 1) into 1 6.466 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 6.466 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.466 * [taylor]: Taking taylor expansion of 2 in x 6.466 * [backup-simplify]: Simplify 2 into 2 6.466 * [taylor]: Taking taylor expansion of x in x 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (* 2 0) into 0 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 6.467 * [backup-simplify]: Simplify (+ 0 0) into 0 6.468 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 6.468 * [taylor]: Taking taylor expansion of 1 in x 6.468 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.468 * [backup-simplify]: Simplify 2 into 2 6.468 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.470 * [taylor]: Taking taylor expansion of 0 in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.472 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.472 * [taylor]: Taking taylor expansion of 0 in x 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 6.473 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 6.473 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 6.473 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 6.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 6.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.473 * [taylor]: Taking taylor expansion of y in x 6.473 * [backup-simplify]: Simplify y into y 6.473 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.473 * [taylor]: Taking taylor expansion of 2 in x 6.473 * [backup-simplify]: Simplify 2 into 2 6.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.473 * [taylor]: Taking taylor expansion of x in x 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (/ 1 1) into 1 6.473 * [taylor]: Taking taylor expansion of y in x 6.473 * [backup-simplify]: Simplify y into y 6.473 * [backup-simplify]: Simplify (* 2 1) into 2 6.474 * [backup-simplify]: Simplify (+ 0 2) into 2 6.474 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.474 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.474 * [taylor]: Taking taylor expansion of y in y 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.474 * [backup-simplify]: Simplify (/ 1 1) into 1 6.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.474 * [taylor]: Taking taylor expansion of 2 in y 6.474 * [backup-simplify]: Simplify 2 into 2 6.474 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.474 * [taylor]: Taking taylor expansion of x in y 6.474 * [backup-simplify]: Simplify x into x 6.474 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.474 * [taylor]: Taking taylor expansion of y in y 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (+ 1 0) into 1 6.475 * [backup-simplify]: Simplify (/ 1 1) into 1 6.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.475 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.475 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.475 * [taylor]: Taking taylor expansion of y in y 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (/ 1 1) into 1 6.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.475 * [taylor]: Taking taylor expansion of 2 in y 6.475 * [backup-simplify]: Simplify 2 into 2 6.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.475 * [taylor]: Taking taylor expansion of x in y 6.475 * [backup-simplify]: Simplify x into x 6.475 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.475 * [taylor]: Taking taylor expansion of y in y 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 1 into 1 6.476 * [backup-simplify]: Simplify (+ 1 0) into 1 6.476 * [backup-simplify]: Simplify (/ 1 1) into 1 6.476 * [taylor]: Taking taylor expansion of 1 in x 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.476 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.477 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 6.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.477 * [taylor]: Taking taylor expansion of 2 in x 6.477 * [backup-simplify]: Simplify 2 into 2 6.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.477 * [taylor]: Taking taylor expansion of x in x 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify 1 into 1 6.477 * [backup-simplify]: Simplify (/ 1 1) into 1 6.477 * [backup-simplify]: Simplify (* 2 1) into 2 6.478 * [backup-simplify]: Simplify 2 into 2 6.478 * [backup-simplify]: Simplify 1 into 1 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 6.480 * [taylor]: Taking taylor expansion of 0 in x 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.485 * [taylor]: Taking taylor expansion of 0 in x 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.491 * [taylor]: Taking taylor expansion of 0 in x 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 6.491 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 6.492 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 6.492 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 6.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 6.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.492 * [taylor]: Taking taylor expansion of y in x 6.492 * [backup-simplify]: Simplify y into y 6.492 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.492 * [taylor]: Taking taylor expansion of 2 in x 6.492 * [backup-simplify]: Simplify 2 into 2 6.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.492 * [taylor]: Taking taylor expansion of x in x 6.492 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify 1 into 1 6.492 * [backup-simplify]: Simplify (/ 1 1) into 1 6.492 * [taylor]: Taking taylor expansion of y in x 6.492 * [backup-simplify]: Simplify y into y 6.493 * [backup-simplify]: Simplify (* 2 1) into 2 6.493 * [backup-simplify]: Simplify (+ 0 2) into 2 6.493 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.493 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.493 * [taylor]: Taking taylor expansion of y in y 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.494 * [backup-simplify]: Simplify (/ 1 1) into 1 6.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.494 * [taylor]: Taking taylor expansion of 2 in y 6.494 * [backup-simplify]: Simplify 2 into 2 6.494 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.494 * [taylor]: Taking taylor expansion of x in y 6.494 * [backup-simplify]: Simplify x into x 6.494 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.494 * [taylor]: Taking taylor expansion of y in y 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify 1 into 1 6.494 * [backup-simplify]: Simplify (+ 1 0) into 1 6.494 * [backup-simplify]: Simplify (/ 1 1) into 1 6.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.495 * [taylor]: Taking taylor expansion of y in y 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (/ 1 1) into 1 6.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.495 * [taylor]: Taking taylor expansion of 2 in y 6.495 * [backup-simplify]: Simplify 2 into 2 6.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.495 * [taylor]: Taking taylor expansion of x in y 6.495 * [backup-simplify]: Simplify x into x 6.495 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.495 * [taylor]: Taking taylor expansion of y in y 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (+ 1 0) into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [taylor]: Taking taylor expansion of 1 in x 6.496 * [backup-simplify]: Simplify 1 into 1 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.497 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.498 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 6.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.498 * [taylor]: Taking taylor expansion of 2 in x 6.498 * [backup-simplify]: Simplify 2 into 2 6.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.498 * [taylor]: Taking taylor expansion of x in x 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (/ 1 1) into 1 6.498 * [backup-simplify]: Simplify (* 2 1) into 2 6.498 * [backup-simplify]: Simplify 2 into 2 6.498 * [backup-simplify]: Simplify 1 into 1 6.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.500 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 6.502 * [taylor]: Taking taylor expansion of 0 in x 6.502 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.503 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.507 * [taylor]: Taking taylor expansion of 0 in x 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.516 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.518 * [taylor]: Taking taylor expansion of 0 in x 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 6.519 * * * [progress]: simplifying candidates 6.520 * [simplify]: Simplifying: (* (exp (* y (+ y (* 2 x)))) (exp (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (* (* (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x))) (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow (* x x) 3)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (- (* (* x x) (* x x)) (* (* y (+ y (* 2 x))) (* x x)))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (* x x))) (- (* y (+ y (* 2 x))) (* x x)) (+ (* y (* 2 x)) (* x x)) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 6.521 * * [simplify]: Extracting # 0 : cost 0 6.521 * * [simplify]: Extracting # 1 : cost 0 6.521 * * [simplify]: Extracting # 2 : cost 0 6.521 * * [simplify]: Extracting # 3 : cost 0 6.521 * * [simplify]: Extracting # 4 : cost 0 6.521 * * [simplify]: Extracting # 5 : cost 0 6.521 * * [simplify]: Extracting # 6 : cost 0 6.521 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 6.544 * * [simplify]: Extracting # 0 : cost 0 6.545 * * [simplify]: Extracting # 1 : cost 0 6.545 * * [simplify]: Extracting # 2 : cost 0 6.545 * * [simplify]: Extracting # 3 : cost 0 6.545 * * [simplify]: Extracting # 4 : cost 0 6.546 * * [simplify]: iteration 1 : 219 enodes (cost 489 ) 6.680 * * [simplify]: Extracting # 0 : cost 0 6.682 * * [simplify]: Extracting # 1 : cost 0 6.683 * * [simplify]: Extracting # 2 : cost 0 6.684 * * [simplify]: Extracting # 3 : cost 0 6.685 * * [simplify]: Extracting # 4 : cost 0 6.686 * * [simplify]: iteration 2 : 754 enodes (cost 445 ) 7.533 * * [simplify]: Extracting # 0 : cost 0 7.538 * * [simplify]: Extracting # 1 : cost 0 7.541 * * [simplify]: Extracting # 2 : cost 0 7.544 * * [simplify]: Extracting # 3 : cost 0 7.547 * * [simplify]: Extracting # 4 : cost 0 7.550 * * [simplify]: iteration 3 : 3394 enodes (cost 437 ) 9.194 * * [simplify]: Extracting # 0 : cost 0 9.201 * * [simplify]: Extracting # 1 : cost 0 9.209 * * [simplify]: Extracting # 2 : cost 0 9.222 * * [simplify]: Extracting # 3 : cost 0 9.227 * * [simplify]: Extracting # 4 : cost 0 9.232 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 9.232 * [simplify]: Simplified to: (exp (+ (* y (+ y (* 2 x))) (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (pow (+ (* y (+ y (* 2 x))) (* x x)) 3) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow x 6)) (- (pow x 4) (* (* (+ y (* 2 x)) y) (- (* x x) (* (+ y (* 2 x)) y)))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)) (* x (+ x (* y 2))) (* x (+ x (* y 2))) (* (+ y (* 2 x)) y) (log (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* 2 (* x y)) (* y y) (* 2 (* x y)) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* (+ y (* 2 x)) y) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* (- (* y y) (* 4 (* x x))) y) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (* (+ y (* 2 x)) y) (* (+ y (* 2 x)) y) (* (+ y (* 2 x)) y) 9.232 * * * [progress]: adding candidates to table 9.332 * * [progress]: iteration 4 / 4 9.332 * * * [progress]: picking best candidate 9.335 * * * * [pick]: Picked # 9.335 * * * [progress]: localizing error 9.363 * * * [progress]: generating rewritten candidates 9.363 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.587 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.668 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.780 * * * [progress]: generating series expansions 9.780 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.781 * [backup-simplify]: Simplify (/ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x))) into (/ (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) 9.781 * [approximate]: Taking taylor expansion of (/ (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) in (y x) around 0 9.781 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) in x 9.781 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in x 9.781 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) in x 9.781 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in x 9.781 * [taylor]: Taking taylor expansion of 4 in x 9.781 * [backup-simplify]: Simplify 4 into 4 9.781 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 9.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.781 * [taylor]: Taking taylor expansion of x in x 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.781 * [taylor]: Taking taylor expansion of y in x 9.781 * [backup-simplify]: Simplify y into y 9.781 * [taylor]: Taking taylor expansion of (+ (pow y 4) (* 4 (* x (pow y 3)))) in x 9.781 * [taylor]: Taking taylor expansion of (pow y 4) in x 9.781 * [taylor]: Taking taylor expansion of y in x 9.781 * [backup-simplify]: Simplify y into y 9.781 * [taylor]: Taking taylor expansion of (* 4 (* x (pow y 3))) in x 9.781 * [taylor]: Taking taylor expansion of 4 in x 9.781 * [backup-simplify]: Simplify 4 into 4 9.781 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in x 9.781 * [taylor]: Taking taylor expansion of x in x 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 1 into 1 9.782 * [taylor]: Taking taylor expansion of (pow y 3) in x 9.782 * [taylor]: Taking taylor expansion of y in x 9.782 * [backup-simplify]: Simplify y into y 9.782 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.782 * [taylor]: Taking taylor expansion of x in x 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 1 into 1 9.782 * [taylor]: Taking taylor expansion of (- (+ (pow y 2) (* 2 (* x y))) (pow x 2)) in x 9.782 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 9.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.782 * [taylor]: Taking taylor expansion of y in x 9.782 * [backup-simplify]: Simplify y into y 9.782 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 9.782 * [taylor]: Taking taylor expansion of 2 in x 9.782 * [backup-simplify]: Simplify 2 into 2 9.782 * [taylor]: Taking taylor expansion of (* x y) in x 9.782 * [taylor]: Taking taylor expansion of x in x 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 1 into 1 9.782 * [taylor]: Taking taylor expansion of y in x 9.782 * [backup-simplify]: Simplify y into y 9.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.782 * [taylor]: Taking taylor expansion of x in x 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 1 into 1 9.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.782 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 9.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.782 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 9.782 * [backup-simplify]: Simplify (* 0 (pow y 3)) into 0 9.783 * [backup-simplify]: Simplify (* 4 0) into 0 9.783 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 9.783 * [backup-simplify]: Simplify (+ 0 (pow y 4)) into (pow y 4) 9.784 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 9.784 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.784 * [backup-simplify]: Simplify (* 0 y) into 0 9.784 * [backup-simplify]: Simplify (* 2 0) into 0 9.784 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 9.784 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 9.785 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 9.785 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) in y 9.785 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in y 9.785 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) in y 9.785 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in y 9.785 * [taylor]: Taking taylor expansion of 4 in y 9.785 * [backup-simplify]: Simplify 4 into 4 9.785 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.785 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.785 * [taylor]: Taking taylor expansion of x in y 9.785 * [backup-simplify]: Simplify x into x 9.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.785 * [taylor]: Taking taylor expansion of y in y 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [taylor]: Taking taylor expansion of (+ (pow y 4) (* 4 (* x (pow y 3)))) in y 9.785 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.785 * [taylor]: Taking taylor expansion of y in y 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [taylor]: Taking taylor expansion of (* 4 (* x (pow y 3))) in y 9.785 * [taylor]: Taking taylor expansion of 4 in y 9.785 * [backup-simplify]: Simplify 4 into 4 9.785 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.785 * [taylor]: Taking taylor expansion of x in y 9.785 * [backup-simplify]: Simplify x into x 9.785 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.785 * [taylor]: Taking taylor expansion of y in y 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.785 * [taylor]: Taking taylor expansion of x in y 9.785 * [backup-simplify]: Simplify x into x 9.785 * [taylor]: Taking taylor expansion of (- (+ (pow y 2) (* 2 (* x y))) (pow x 2)) in y 9.785 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 9.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.786 * [taylor]: Taking taylor expansion of y in y 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 9.786 * [taylor]: Taking taylor expansion of 2 in y 9.786 * [backup-simplify]: Simplify 2 into 2 9.786 * [taylor]: Taking taylor expansion of (* x y) in y 9.786 * [taylor]: Taking taylor expansion of x in y 9.786 * [backup-simplify]: Simplify x into x 9.786 * [taylor]: Taking taylor expansion of y in y 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.786 * [taylor]: Taking taylor expansion of x in y 9.786 * [backup-simplify]: Simplify x into x 9.786 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.786 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.786 * [backup-simplify]: Simplify (- (pow x 4)) into (- (pow x 4)) 9.786 * [backup-simplify]: Simplify (+ 0 (- (pow x 4))) into (- (pow x 4)) 9.786 * [backup-simplify]: Simplify (* x 0) into 0 9.787 * [backup-simplify]: Simplify (* 2 0) into 0 9.787 * [backup-simplify]: Simplify (+ 0 0) into 0 9.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.787 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 9.788 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 9.788 * [backup-simplify]: Simplify (/ (- (pow x 4)) (- (pow x 2))) into (pow x 2) 9.788 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) in y 9.788 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in y 9.788 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) in y 9.788 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in y 9.788 * [taylor]: Taking taylor expansion of 4 in y 9.788 * [backup-simplify]: Simplify 4 into 4 9.788 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.788 * [taylor]: Taking taylor expansion of x in y 9.788 * [backup-simplify]: Simplify x into x 9.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.788 * [taylor]: Taking taylor expansion of y in y 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [taylor]: Taking taylor expansion of (+ (pow y 4) (* 4 (* x (pow y 3)))) in y 9.788 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.788 * [taylor]: Taking taylor expansion of y in y 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [taylor]: Taking taylor expansion of (* 4 (* x (pow y 3))) in y 9.788 * [taylor]: Taking taylor expansion of 4 in y 9.788 * [backup-simplify]: Simplify 4 into 4 9.789 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.789 * [taylor]: Taking taylor expansion of x in y 9.789 * [backup-simplify]: Simplify x into x 9.789 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.789 * [taylor]: Taking taylor expansion of y in y 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.789 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.789 * [taylor]: Taking taylor expansion of x in y 9.789 * [backup-simplify]: Simplify x into x 9.789 * [taylor]: Taking taylor expansion of (- (+ (pow y 2) (* 2 (* x y))) (pow x 2)) in y 9.789 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 9.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.789 * [taylor]: Taking taylor expansion of y in y 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.789 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 9.789 * [taylor]: Taking taylor expansion of 2 in y 9.789 * [backup-simplify]: Simplify 2 into 2 9.789 * [taylor]: Taking taylor expansion of (* x y) in y 9.789 * [taylor]: Taking taylor expansion of x in y 9.789 * [backup-simplify]: Simplify x into x 9.789 * [taylor]: Taking taylor expansion of y in y 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.789 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.789 * [taylor]: Taking taylor expansion of x in y 9.789 * [backup-simplify]: Simplify x into x 9.789 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.789 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.790 * [backup-simplify]: Simplify (- (pow x 4)) into (- (pow x 4)) 9.790 * [backup-simplify]: Simplify (+ 0 (- (pow x 4))) into (- (pow x 4)) 9.790 * [backup-simplify]: Simplify (* x 0) into 0 9.790 * [backup-simplify]: Simplify (* 2 0) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.791 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.791 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 9.791 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 9.791 * [backup-simplify]: Simplify (/ (- (pow x 4)) (- (pow x 2))) into (pow x 2) 9.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.791 * [taylor]: Taking taylor expansion of x in x 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 1 into 1 9.791 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.792 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 9.792 * [backup-simplify]: Simplify (- 0) into 0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 9.793 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 9.793 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 9.793 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.793 * [backup-simplify]: Simplify (- 0) into 0 9.794 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 9.794 * [backup-simplify]: Simplify (- (/ 0 (- (pow x 2))) (+ (* (pow x 2) (/ (* 2 x) (- (pow x 2)))))) into (* 2 x) 9.794 * [taylor]: Taking taylor expansion of (* 2 x) in x 9.794 * [taylor]: Taking taylor expansion of 2 in x 9.794 * [backup-simplify]: Simplify 2 into 2 9.794 * [taylor]: Taking taylor expansion of x in x 9.794 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 1 into 1 9.795 * [backup-simplify]: Simplify (* 2 0) into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.795 * [backup-simplify]: Simplify (* 1 1) into 1 9.795 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.795 * [backup-simplify]: Simplify (* 4 (pow x 2)) into (* 4 (pow x 2)) 9.795 * [backup-simplify]: Simplify (+ (* 4 (pow x 2)) 0) into (* 4 (pow x 2)) 9.796 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 9.796 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 9.797 * [backup-simplify]: Simplify (- 0) into 0 9.797 * [backup-simplify]: Simplify (+ (* 4 (pow x 2)) 0) into (* 4 (pow x 2)) 9.797 * [backup-simplify]: Simplify (* 1 1) into 1 9.798 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 9.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 9.799 * [backup-simplify]: Simplify (+ 1 0) into 1 9.799 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 9.799 * [backup-simplify]: Simplify (- 0) into 0 9.799 * [backup-simplify]: Simplify (+ 1 0) into 1 9.800 * [backup-simplify]: Simplify (- (/ (* 4 (pow x 2)) (- (pow x 2))) (+ (* (pow x 2) (/ 1 (- (pow x 2)))) (* (* 2 x) (/ (* 2 x) (- (pow x 2)))))) into 1 9.800 * [taylor]: Taking taylor expansion of 1 in x 9.800 * [backup-simplify]: Simplify 1 into 1 9.800 * [backup-simplify]: Simplify 1 into 1 9.800 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.800 * [backup-simplify]: Simplify 2 into 2 9.801 * [backup-simplify]: Simplify (* 1 1) into 1 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [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)))) 9.802 * [backup-simplify]: Simplify (/ (- (* (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x))))) (pow (/ 1 x) 4)) (- (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 x)))) into (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) 9.802 * [approximate]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in (y x) around 0 9.802 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in x 9.802 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in x 9.802 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in x 9.802 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in x 9.802 * [taylor]: Taking taylor expansion of 4 in x 9.802 * [backup-simplify]: Simplify 4 into 4 9.802 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in x 9.802 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in x 9.802 * [taylor]: Taking taylor expansion of x in x 9.802 * [backup-simplify]: Simplify 0 into 0 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [taylor]: Taking taylor expansion of (pow y 3) in x 9.802 * [taylor]: Taking taylor expansion of y in x 9.802 * [backup-simplify]: Simplify y into y 9.802 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.802 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 9.802 * [backup-simplify]: Simplify (* 0 (pow y 3)) into 0 9.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 9.803 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 3))) into (pow y 3) 9.803 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3)) 9.803 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in x 9.803 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 9.803 * [taylor]: Taking taylor expansion of 4 in x 9.803 * [backup-simplify]: Simplify 4 into 4 9.803 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 9.803 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 9.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.803 * [taylor]: Taking taylor expansion of x in x 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.803 * [taylor]: Taking taylor expansion of y in x 9.803 * [backup-simplify]: Simplify y into y 9.803 * [backup-simplify]: Simplify (* 1 1) into 1 9.803 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.803 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 9.804 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 9.804 * [taylor]: Taking taylor expansion of (pow y 4) in x 9.804 * [taylor]: Taking taylor expansion of y in x 9.804 * [backup-simplify]: Simplify y into y 9.804 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.804 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 9.804 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 9.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.804 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.804 * [taylor]: Taking taylor expansion of x in x 9.804 * [backup-simplify]: Simplify 0 into 0 9.804 * [backup-simplify]: Simplify 1 into 1 9.804 * [backup-simplify]: Simplify (* 1 1) into 1 9.804 * [backup-simplify]: Simplify (* 1 1) into 1 9.805 * [backup-simplify]: Simplify (/ 1 1) into 1 9.805 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2))) in x 9.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 9.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.805 * [taylor]: Taking taylor expansion of y in x 9.805 * [backup-simplify]: Simplify y into y 9.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.805 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 9.805 * [taylor]: Taking taylor expansion of 2 in x 9.805 * [backup-simplify]: Simplify 2 into 2 9.805 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 9.805 * [taylor]: Taking taylor expansion of (* x y) in x 9.805 * [taylor]: Taking taylor expansion of x in x 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 1 into 1 9.805 * [taylor]: Taking taylor expansion of y in x 9.805 * [backup-simplify]: Simplify y into y 9.805 * [backup-simplify]: Simplify (* 0 y) into 0 9.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 9.805 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.806 * [taylor]: Taking taylor expansion of x in x 9.806 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [backup-simplify]: Simplify (* 1 1) into 1 9.806 * [backup-simplify]: Simplify (/ 1 1) into 1 9.806 * [backup-simplify]: Simplify (- 1) into -1 9.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.807 * [backup-simplify]: Simplify (- 1) into -1 9.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.807 * [backup-simplify]: Simplify (/ -1 -1) into 1 9.807 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in y 9.807 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.807 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.807 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.807 * [taylor]: Taking taylor expansion of 4 in y 9.807 * [backup-simplify]: Simplify 4 into 4 9.807 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.807 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.807 * [taylor]: Taking taylor expansion of x in y 9.807 * [backup-simplify]: Simplify x into x 9.807 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.807 * [taylor]: Taking taylor expansion of y in y 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.808 * [backup-simplify]: Simplify (* 1 1) into 1 9.808 * [backup-simplify]: Simplify (* 1 1) into 1 9.808 * [backup-simplify]: Simplify (* x 1) into x 9.808 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.808 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.808 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.808 * [taylor]: Taking taylor expansion of 4 in y 9.808 * [backup-simplify]: Simplify 4 into 4 9.808 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.808 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.808 * [taylor]: Taking taylor expansion of x in y 9.808 * [backup-simplify]: Simplify x into x 9.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.808 * [taylor]: Taking taylor expansion of y in y 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.809 * [backup-simplify]: Simplify (* 1 1) into 1 9.809 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.809 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.809 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.809 * [taylor]: Taking taylor expansion of y in y 9.809 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [backup-simplify]: Simplify (* 1 1) into 1 9.809 * [backup-simplify]: Simplify (* 1 1) into 1 9.810 * [backup-simplify]: Simplify (/ 1 1) into 1 9.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.810 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.810 * [taylor]: Taking taylor expansion of x in y 9.810 * [backup-simplify]: Simplify x into x 9.810 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.810 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.810 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.810 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2))) in y 9.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 9.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.810 * [taylor]: Taking taylor expansion of y in y 9.810 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify (* 1 1) into 1 9.811 * [backup-simplify]: Simplify (/ 1 1) into 1 9.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 9.811 * [taylor]: Taking taylor expansion of 2 in y 9.811 * [backup-simplify]: Simplify 2 into 2 9.811 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 9.811 * [taylor]: Taking taylor expansion of (* x y) in y 9.811 * [taylor]: Taking taylor expansion of x in y 9.811 * [backup-simplify]: Simplify x into x 9.811 * [taylor]: Taking taylor expansion of y in y 9.811 * [backup-simplify]: Simplify 0 into 0 9.811 * [backup-simplify]: Simplify 1 into 1 9.811 * [backup-simplify]: Simplify (* x 0) into 0 9.811 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 9.811 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.811 * [taylor]: Taking taylor expansion of x in y 9.811 * [backup-simplify]: Simplify x into x 9.811 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.811 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.811 * [backup-simplify]: Simplify (+ 0 1) into 1 9.812 * [backup-simplify]: Simplify (+ 0 1) into 1 9.812 * [backup-simplify]: Simplify (+ 1 0) into 1 9.812 * [backup-simplify]: Simplify (+ 1 0) into 1 9.813 * [backup-simplify]: Simplify (+ 1 0) into 1 9.813 * [backup-simplify]: Simplify (/ 1 1) into 1 9.813 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in y 9.813 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.813 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.813 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.813 * [taylor]: Taking taylor expansion of 4 in y 9.813 * [backup-simplify]: Simplify 4 into 4 9.813 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.813 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.813 * [taylor]: Taking taylor expansion of x in y 9.813 * [backup-simplify]: Simplify x into x 9.813 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.813 * [taylor]: Taking taylor expansion of y in y 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [backup-simplify]: Simplify (* 1 1) into 1 9.814 * [backup-simplify]: Simplify (* 1 1) into 1 9.814 * [backup-simplify]: Simplify (* x 1) into x 9.814 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.814 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.814 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.814 * [taylor]: Taking taylor expansion of 4 in y 9.814 * [backup-simplify]: Simplify 4 into 4 9.814 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.814 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.814 * [taylor]: Taking taylor expansion of x in y 9.814 * [backup-simplify]: Simplify x into x 9.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.814 * [taylor]: Taking taylor expansion of y in y 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.814 * [backup-simplify]: Simplify (* 1 1) into 1 9.814 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.814 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.815 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.815 * [taylor]: Taking taylor expansion of y in y 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [backup-simplify]: Simplify (* 1 1) into 1 9.815 * [backup-simplify]: Simplify (* 1 1) into 1 9.815 * [backup-simplify]: Simplify (/ 1 1) into 1 9.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.815 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.815 * [taylor]: Taking taylor expansion of x in y 9.815 * [backup-simplify]: Simplify x into x 9.815 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.816 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.816 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.816 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2))) in y 9.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 9.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.816 * [taylor]: Taking taylor expansion of y in y 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify 1 into 1 9.816 * [backup-simplify]: Simplify (* 1 1) into 1 9.816 * [backup-simplify]: Simplify (/ 1 1) into 1 9.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 9.816 * [taylor]: Taking taylor expansion of 2 in y 9.816 * [backup-simplify]: Simplify 2 into 2 9.816 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 9.816 * [taylor]: Taking taylor expansion of (* x y) in y 9.816 * [taylor]: Taking taylor expansion of x in y 9.816 * [backup-simplify]: Simplify x into x 9.816 * [taylor]: Taking taylor expansion of y in y 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify 1 into 1 9.816 * [backup-simplify]: Simplify (* x 0) into 0 9.817 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 9.817 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.817 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.817 * [taylor]: Taking taylor expansion of x in y 9.817 * [backup-simplify]: Simplify x into x 9.817 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.817 * [backup-simplify]: Simplify (+ 0 1) into 1 9.818 * [backup-simplify]: Simplify (+ 0 1) into 1 9.818 * [backup-simplify]: Simplify (+ 1 0) into 1 9.818 * [backup-simplify]: Simplify (+ 1 0) into 1 9.818 * [backup-simplify]: Simplify (+ 1 0) into 1 9.819 * [backup-simplify]: Simplify (/ 1 1) into 1 9.819 * [taylor]: Taking taylor expansion of 1 in x 9.819 * [backup-simplify]: Simplify 1 into 1 9.819 * [backup-simplify]: Simplify (* 4 (/ 1 x)) into (/ 4 x) 9.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.820 * [backup-simplify]: Simplify (+ 0 0) into 0 9.820 * [backup-simplify]: Simplify (+ (/ 4 x) 0) into (* 4 (/ 1 x)) 9.821 * [backup-simplify]: Simplify (+ (* 4 (/ 1 x)) 0) into (* 4 (/ 1 x)) 9.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.822 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 9.822 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 9.822 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 9.822 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 x)) 1) (+ (* 1 (/ (* 2 (/ 1 x)) 1)))) into (* 2 (/ 1 x)) 9.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 9.822 * [taylor]: Taking taylor expansion of 2 in x 9.822 * [backup-simplify]: Simplify 2 into 2 9.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.822 * [taylor]: Taking taylor expansion of x in x 9.822 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [backup-simplify]: Simplify (/ 1 1) into 1 9.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.824 * [backup-simplify]: Simplify (+ (* x 0) (* 0 1)) into 0 9.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.824 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 x))) into 0 9.824 * [backup-simplify]: Simplify (* 4 (/ 1 (pow x 2))) into (/ 4 (pow x 2)) 9.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.826 * [backup-simplify]: Simplify (+ (/ 4 (pow x 2)) 0) into (* 4 (/ 1 (pow x 2))) 9.826 * [backup-simplify]: Simplify (+ 0 (* 4 (/ 1 (pow x 2)))) into (* 4 (/ 1 (pow x 2))) 9.826 * [backup-simplify]: Simplify (+ (* 4 (/ 1 (pow x 2))) 0) into (* 4 (/ 1 (pow x 2))) 9.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.828 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 9.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.829 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 9.829 * [backup-simplify]: Simplify (+ 0 0) into 0 9.829 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 9.830 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 9.830 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 (pow x 2))) 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* (* 2 (/ 1 x)) (/ (* 2 (/ 1 x)) 1)))) into (/ 1 (pow x 2)) 9.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.830 * [taylor]: Taking taylor expansion of x in x 9.830 * [backup-simplify]: Simplify 0 into 0 9.830 * [backup-simplify]: Simplify 1 into 1 9.831 * [backup-simplify]: Simplify (* 1 1) into 1 9.831 * [backup-simplify]: Simplify (/ 1 1) into 1 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [backup-simplify]: Simplify (* 2 1) into 2 9.832 * [backup-simplify]: Simplify 2 into 2 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [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)))) 9.834 * [backup-simplify]: Simplify (/ (- (* (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x)))))) (pow (/ 1 (- x)) 4)) (- (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) 9.834 * [approximate]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in (y x) around 0 9.834 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in x 9.834 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in x 9.834 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in x 9.834 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in x 9.834 * [taylor]: Taking taylor expansion of 4 in x 9.834 * [backup-simplify]: Simplify 4 into 4 9.834 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in x 9.834 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in x 9.834 * [taylor]: Taking taylor expansion of x in x 9.834 * [backup-simplify]: Simplify 0 into 0 9.834 * [backup-simplify]: Simplify 1 into 1 9.834 * [taylor]: Taking taylor expansion of (pow y 3) in x 9.834 * [taylor]: Taking taylor expansion of y in x 9.834 * [backup-simplify]: Simplify y into y 9.834 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.834 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 9.834 * [backup-simplify]: Simplify (* 0 (pow y 3)) into 0 9.834 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.835 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 9.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 3))) into (pow y 3) 9.839 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3)) 9.839 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in x 9.839 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 9.839 * [taylor]: Taking taylor expansion of 4 in x 9.839 * [backup-simplify]: Simplify 4 into 4 9.839 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 9.839 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 9.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.839 * [taylor]: Taking taylor expansion of x in x 9.839 * [backup-simplify]: Simplify 0 into 0 9.839 * [backup-simplify]: Simplify 1 into 1 9.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.839 * [taylor]: Taking taylor expansion of y in x 9.839 * [backup-simplify]: Simplify y into y 9.840 * [backup-simplify]: Simplify (* 1 1) into 1 9.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.840 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 9.840 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 9.840 * [taylor]: Taking taylor expansion of (pow y 4) in x 9.840 * [taylor]: Taking taylor expansion of y in x 9.840 * [backup-simplify]: Simplify y into y 9.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.841 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 9.841 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 9.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.841 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.841 * [taylor]: Taking taylor expansion of x in x 9.841 * [backup-simplify]: Simplify 0 into 0 9.841 * [backup-simplify]: Simplify 1 into 1 9.841 * [backup-simplify]: Simplify (* 1 1) into 1 9.842 * [backup-simplify]: Simplify (* 1 1) into 1 9.842 * [backup-simplify]: Simplify (/ 1 1) into 1 9.842 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2))) in x 9.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 9.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.842 * [taylor]: Taking taylor expansion of y in x 9.842 * [backup-simplify]: Simplify y into y 9.842 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.842 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 9.842 * [taylor]: Taking taylor expansion of 2 in x 9.842 * [backup-simplify]: Simplify 2 into 2 9.842 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 9.842 * [taylor]: Taking taylor expansion of (* x y) in x 9.842 * [taylor]: Taking taylor expansion of x in x 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [taylor]: Taking taylor expansion of y in x 9.843 * [backup-simplify]: Simplify y into y 9.843 * [backup-simplify]: Simplify (* 0 y) into 0 9.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 9.843 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.843 * [taylor]: Taking taylor expansion of x in x 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 1 into 1 9.844 * [backup-simplify]: Simplify (* 1 1) into 1 9.844 * [backup-simplify]: Simplify (/ 1 1) into 1 9.844 * [backup-simplify]: Simplify (- 1) into -1 9.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.845 * [backup-simplify]: Simplify (- 1) into -1 9.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.846 * [backup-simplify]: Simplify (/ -1 -1) into 1 9.846 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in y 9.846 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.846 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.846 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.846 * [taylor]: Taking taylor expansion of 4 in y 9.846 * [backup-simplify]: Simplify 4 into 4 9.846 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.846 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.846 * [taylor]: Taking taylor expansion of x in y 9.846 * [backup-simplify]: Simplify x into x 9.846 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.846 * [taylor]: Taking taylor expansion of y in y 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (* 1 1) into 1 9.847 * [backup-simplify]: Simplify (* 1 1) into 1 9.847 * [backup-simplify]: Simplify (* x 1) into x 9.847 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.847 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.847 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.847 * [taylor]: Taking taylor expansion of 4 in y 9.847 * [backup-simplify]: Simplify 4 into 4 9.847 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.847 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.847 * [taylor]: Taking taylor expansion of x in y 9.847 * [backup-simplify]: Simplify x into x 9.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.847 * [taylor]: Taking taylor expansion of y in y 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [backup-simplify]: Simplify 1 into 1 9.847 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.847 * [backup-simplify]: Simplify (* 1 1) into 1 9.848 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.848 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.848 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.848 * [taylor]: Taking taylor expansion of y in y 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 1 into 1 9.848 * [backup-simplify]: Simplify (* 1 1) into 1 9.848 * [backup-simplify]: Simplify (* 1 1) into 1 9.849 * [backup-simplify]: Simplify (/ 1 1) into 1 9.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.849 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.849 * [taylor]: Taking taylor expansion of x in y 9.849 * [backup-simplify]: Simplify x into x 9.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.849 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.849 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.849 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2))) in y 9.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 9.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.849 * [taylor]: Taking taylor expansion of y in y 9.849 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [backup-simplify]: Simplify (* 1 1) into 1 9.850 * [backup-simplify]: Simplify (/ 1 1) into 1 9.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 9.850 * [taylor]: Taking taylor expansion of 2 in y 9.850 * [backup-simplify]: Simplify 2 into 2 9.850 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 9.850 * [taylor]: Taking taylor expansion of (* x y) in y 9.850 * [taylor]: Taking taylor expansion of x in y 9.850 * [backup-simplify]: Simplify x into x 9.850 * [taylor]: Taking taylor expansion of y in y 9.850 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [backup-simplify]: Simplify (* x 0) into 0 9.851 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 9.851 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.851 * [taylor]: Taking taylor expansion of x in y 9.851 * [backup-simplify]: Simplify x into x 9.851 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.851 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.852 * [backup-simplify]: Simplify (+ 0 1) into 1 9.852 * [backup-simplify]: Simplify (+ 0 1) into 1 9.852 * [backup-simplify]: Simplify (+ 1 0) into 1 9.853 * [backup-simplify]: Simplify (+ 1 0) into 1 9.853 * [backup-simplify]: Simplify (+ 1 0) into 1 9.853 * [backup-simplify]: Simplify (/ 1 1) into 1 9.853 * [taylor]: Taking taylor expansion of (/ (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2)))) in y 9.853 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.853 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.853 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.854 * [taylor]: Taking taylor expansion of 4 in y 9.854 * [backup-simplify]: Simplify 4 into 4 9.854 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.854 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.854 * [taylor]: Taking taylor expansion of x in y 9.854 * [backup-simplify]: Simplify x into x 9.854 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.854 * [taylor]: Taking taylor expansion of y in y 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 1 into 1 9.854 * [backup-simplify]: Simplify (* 1 1) into 1 9.854 * [backup-simplify]: Simplify (* 1 1) into 1 9.854 * [backup-simplify]: Simplify (* x 1) into x 9.854 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.855 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.855 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.855 * [taylor]: Taking taylor expansion of 4 in y 9.855 * [backup-simplify]: Simplify 4 into 4 9.855 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.855 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.855 * [taylor]: Taking taylor expansion of x in y 9.855 * [backup-simplify]: Simplify x into x 9.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.855 * [taylor]: Taking taylor expansion of y in y 9.855 * [backup-simplify]: Simplify 0 into 0 9.855 * [backup-simplify]: Simplify 1 into 1 9.855 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.855 * [backup-simplify]: Simplify (* 1 1) into 1 9.855 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.855 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.856 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.856 * [taylor]: Taking taylor expansion of y in y 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify 1 into 1 9.856 * [backup-simplify]: Simplify (* 1 1) into 1 9.856 * [backup-simplify]: Simplify (* 1 1) into 1 9.857 * [backup-simplify]: Simplify (/ 1 1) into 1 9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.857 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.857 * [taylor]: Taking taylor expansion of x in y 9.857 * [backup-simplify]: Simplify x into x 9.857 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.857 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.857 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.857 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) (/ 1 (pow x 2))) in y 9.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.857 * [taylor]: Taking taylor expansion of y in y 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.858 * [backup-simplify]: Simplify (* 1 1) into 1 9.858 * [backup-simplify]: Simplify (/ 1 1) into 1 9.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 9.858 * [taylor]: Taking taylor expansion of 2 in y 9.858 * [backup-simplify]: Simplify 2 into 2 9.858 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 9.858 * [taylor]: Taking taylor expansion of (* x y) in y 9.858 * [taylor]: Taking taylor expansion of x in y 9.858 * [backup-simplify]: Simplify x into x 9.858 * [taylor]: Taking taylor expansion of y in y 9.858 * [backup-simplify]: Simplify 0 into 0 9.858 * [backup-simplify]: Simplify 1 into 1 9.858 * [backup-simplify]: Simplify (* x 0) into 0 9.859 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 9.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.859 * [taylor]: Taking taylor expansion of x in y 9.859 * [backup-simplify]: Simplify x into x 9.859 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.859 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.859 * [backup-simplify]: Simplify (+ 0 1) into 1 9.859 * [backup-simplify]: Simplify (+ 0 1) into 1 9.860 * [backup-simplify]: Simplify (+ 1 0) into 1 9.860 * [backup-simplify]: Simplify (+ 1 0) into 1 9.860 * [backup-simplify]: Simplify (+ 1 0) into 1 9.860 * [backup-simplify]: Simplify (/ 1 1) into 1 9.861 * [taylor]: Taking taylor expansion of 1 in x 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (* 4 (/ 1 x)) into (/ 4 x) 9.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (+ 0 0) into 0 9.863 * [backup-simplify]: Simplify (+ (/ 4 x) 0) into (* 4 (/ 1 x)) 9.863 * [backup-simplify]: Simplify (+ (* 4 (/ 1 x)) 0) into (* 4 (/ 1 x)) 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.864 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 9.864 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 9.865 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 9.865 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 x)) 1) (+ (* 1 (/ (* 2 (/ 1 x)) 1)))) into (* 2 (/ 1 x)) 9.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 9.865 * [taylor]: Taking taylor expansion of 2 in x 9.865 * [backup-simplify]: Simplify 2 into 2 9.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.865 * [taylor]: Taking taylor expansion of x in x 9.865 * [backup-simplify]: Simplify 0 into 0 9.865 * [backup-simplify]: Simplify 1 into 1 9.865 * [backup-simplify]: Simplify (/ 1 1) into 1 9.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.867 * [backup-simplify]: Simplify (+ (* x 0) (* 0 1)) into 0 9.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.867 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 x))) into 0 9.868 * [backup-simplify]: Simplify (* 4 (/ 1 (pow x 2))) into (/ 4 (pow x 2)) 9.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.870 * [backup-simplify]: Simplify (+ (/ 4 (pow x 2)) 0) into (* 4 (/ 1 (pow x 2))) 9.870 * [backup-simplify]: Simplify (+ 0 (* 4 (/ 1 (pow x 2)))) into (* 4 (/ 1 (pow x 2))) 9.870 * [backup-simplify]: Simplify (+ (* 4 (/ 1 (pow x 2))) 0) into (* 4 (/ 1 (pow x 2))) 9.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.873 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 9.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.873 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 9.873 * [backup-simplify]: Simplify (+ 0 0) into 0 9.874 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 9.874 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 9.874 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 (pow x 2))) 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* (* 2 (/ 1 x)) (/ (* 2 (/ 1 x)) 1)))) into (/ 1 (pow x 2)) 9.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.874 * [taylor]: Taking taylor expansion of x in x 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify 1 into 1 9.875 * [backup-simplify]: Simplify (* 1 1) into 1 9.875 * [backup-simplify]: Simplify (/ 1 1) into 1 9.875 * [backup-simplify]: Simplify 1 into 1 9.876 * [backup-simplify]: Simplify (* 2 1) into 2 9.876 * [backup-simplify]: Simplify 2 into 2 9.876 * [backup-simplify]: Simplify 1 into 1 9.876 * [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)))) 9.876 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.877 * [backup-simplify]: Simplify (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) into (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) 9.877 * [approximate]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in (y x) around 0 9.877 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in x 9.877 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) in x 9.877 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in x 9.877 * [taylor]: Taking taylor expansion of 4 in x 9.877 * [backup-simplify]: Simplify 4 into 4 9.877 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 9.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.877 * [taylor]: Taking taylor expansion of x in x 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.877 * [taylor]: Taking taylor expansion of y in x 9.877 * [backup-simplify]: Simplify y into y 9.877 * [taylor]: Taking taylor expansion of (+ (pow y 4) (* 4 (* x (pow y 3)))) in x 9.877 * [taylor]: Taking taylor expansion of (pow y 4) in x 9.878 * [taylor]: Taking taylor expansion of y in x 9.878 * [backup-simplify]: Simplify y into y 9.878 * [taylor]: Taking taylor expansion of (* 4 (* x (pow y 3))) in x 9.878 * [taylor]: Taking taylor expansion of 4 in x 9.878 * [backup-simplify]: Simplify 4 into 4 9.878 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in x 9.878 * [taylor]: Taking taylor expansion of x in x 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [taylor]: Taking taylor expansion of (pow y 3) in x 9.878 * [taylor]: Taking taylor expansion of y in x 9.878 * [backup-simplify]: Simplify y into y 9.878 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.878 * [taylor]: Taking taylor expansion of x in x 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in y 9.878 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) in y 9.878 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in y 9.878 * [taylor]: Taking taylor expansion of 4 in y 9.878 * [backup-simplify]: Simplify 4 into 4 9.878 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.878 * [taylor]: Taking taylor expansion of x in y 9.878 * [backup-simplify]: Simplify x into x 9.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.878 * [taylor]: Taking taylor expansion of y in y 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [taylor]: Taking taylor expansion of (+ (pow y 4) (* 4 (* x (pow y 3)))) in y 9.878 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.878 * [taylor]: Taking taylor expansion of y in y 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [taylor]: Taking taylor expansion of (* 4 (* x (pow y 3))) in y 9.878 * [taylor]: Taking taylor expansion of 4 in y 9.878 * [backup-simplify]: Simplify 4 into 4 9.878 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.878 * [taylor]: Taking taylor expansion of x in y 9.879 * [backup-simplify]: Simplify x into x 9.879 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.879 * [taylor]: Taking taylor expansion of y in y 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.879 * [taylor]: Taking taylor expansion of x in y 9.879 * [backup-simplify]: Simplify x into x 9.879 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (pow x 4)) in y 9.879 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) in y 9.879 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in y 9.879 * [taylor]: Taking taylor expansion of 4 in y 9.879 * [backup-simplify]: Simplify 4 into 4 9.879 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.879 * [taylor]: Taking taylor expansion of x in y 9.879 * [backup-simplify]: Simplify x into x 9.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.879 * [taylor]: Taking taylor expansion of y in y 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [taylor]: Taking taylor expansion of (+ (pow y 4) (* 4 (* x (pow y 3)))) in y 9.879 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.879 * [taylor]: Taking taylor expansion of y in y 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [taylor]: Taking taylor expansion of (* 4 (* x (pow y 3))) in y 9.879 * [taylor]: Taking taylor expansion of 4 in y 9.879 * [backup-simplify]: Simplify 4 into 4 9.879 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.879 * [taylor]: Taking taylor expansion of x in y 9.879 * [backup-simplify]: Simplify x into x 9.879 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.879 * [taylor]: Taking taylor expansion of y in y 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.879 * [taylor]: Taking taylor expansion of x in y 9.879 * [backup-simplify]: Simplify x into x 9.880 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.880 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.880 * [backup-simplify]: Simplify (- (pow x 4)) into (- (pow x 4)) 9.880 * [backup-simplify]: Simplify (+ 0 (- (pow x 4))) into (- (pow x 4)) 9.880 * [taylor]: Taking taylor expansion of (- (pow x 4)) in x 9.880 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.880 * [taylor]: Taking taylor expansion of x in x 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify 1 into 1 9.880 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.881 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 9.881 * [backup-simplify]: Simplify (- 0) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.881 * [taylor]: Taking taylor expansion of 0 in x 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.881 * [backup-simplify]: Simplify (* 1 1) into 1 9.882 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.882 * [backup-simplify]: Simplify (* 4 (pow x 2)) into (* 4 (pow x 2)) 9.882 * [backup-simplify]: Simplify (+ (* 4 (pow x 2)) 0) into (* 4 (pow x 2)) 9.882 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 9.882 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 9.883 * [backup-simplify]: Simplify (- 0) into 0 9.883 * [backup-simplify]: Simplify (+ (* 4 (pow x 2)) 0) into (* 4 (pow x 2)) 9.883 * [taylor]: Taking taylor expansion of (* 4 (pow x 2)) in x 9.883 * [taylor]: Taking taylor expansion of 4 in x 9.883 * [backup-simplify]: Simplify 4 into 4 9.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.883 * [taylor]: Taking taylor expansion of x in x 9.883 * [backup-simplify]: Simplify 0 into 0 9.883 * [backup-simplify]: Simplify 1 into 1 9.883 * [backup-simplify]: Simplify 0 into 0 9.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.883 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.884 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 9.884 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow x 2))) into 0 9.884 * [backup-simplify]: Simplify (* 1 1) into 1 9.885 * [backup-simplify]: Simplify (* 1 1) into 1 9.885 * [backup-simplify]: Simplify (* x 1) into x 9.885 * [backup-simplify]: Simplify (* 4 x) into (* 4 x) 9.885 * [backup-simplify]: Simplify (+ 0 (* 4 x)) into (* 4 x) 9.885 * [backup-simplify]: Simplify (+ 0 (* 4 x)) into (* 4 x) 9.885 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 9.886 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 9.886 * [backup-simplify]: Simplify (- 0) into 0 9.886 * [backup-simplify]: Simplify (+ (* 4 x) 0) into (* 4 x) 9.886 * [taylor]: Taking taylor expansion of (* 4 x) in x 9.886 * [taylor]: Taking taylor expansion of 4 in x 9.886 * [backup-simplify]: Simplify 4 into 4 9.886 * [taylor]: Taking taylor expansion of x in x 9.886 * [backup-simplify]: Simplify 0 into 0 9.886 * [backup-simplify]: Simplify 1 into 1 9.886 * [backup-simplify]: Simplify (* 4 0) into 0 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.888 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 9.888 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.889 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 9.889 * [backup-simplify]: Simplify (* 1 1) into 1 9.890 * [backup-simplify]: Simplify (* 1 1) into 1 9.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.891 * [backup-simplify]: Simplify (+ (* x 0) (* 0 1)) into 0 9.891 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 x)) into 0 9.892 * [backup-simplify]: Simplify (+ 1 0) into 1 9.892 * [backup-simplify]: Simplify (+ 0 1) into 1 9.893 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 9.893 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 9.894 * [backup-simplify]: Simplify (- 0) into 0 9.894 * [backup-simplify]: Simplify (+ 1 0) into 1 9.894 * [taylor]: Taking taylor expansion of 1 in x 9.894 * [backup-simplify]: Simplify 1 into 1 9.894 * [backup-simplify]: Simplify 1 into 1 9.895 * [backup-simplify]: Simplify (+ (* 4 1) (* 0 0)) into 4 9.895 * [backup-simplify]: Simplify 4 into 4 9.895 * [backup-simplify]: Simplify (* 1 1) into 1 9.895 * [backup-simplify]: Simplify (* 4 1) into 4 9.895 * [backup-simplify]: Simplify 4 into 4 9.896 * [backup-simplify]: Simplify (+ (* 4 (pow (* x y) 2)) (+ (* 4 (* x (pow y 3))) (* 1 (pow (* 1 y) 4)))) into (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) 9.897 * [backup-simplify]: Simplify (- (* (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x))))) (pow (/ 1 x) 4)) into (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) 9.897 * [approximate]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in (y x) around 0 9.897 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in x 9.897 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in x 9.897 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in x 9.897 * [taylor]: Taking taylor expansion of 4 in x 9.897 * [backup-simplify]: Simplify 4 into 4 9.897 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in x 9.897 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in x 9.897 * [taylor]: Taking taylor expansion of x in x 9.897 * [backup-simplify]: Simplify 0 into 0 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [taylor]: Taking taylor expansion of (pow y 3) in x 9.897 * [taylor]: Taking taylor expansion of y in x 9.897 * [backup-simplify]: Simplify y into y 9.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.897 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 9.897 * [backup-simplify]: Simplify (* 0 (pow y 3)) into 0 9.897 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.897 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 9.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 3))) into (pow y 3) 9.898 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3)) 9.898 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in x 9.898 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 9.898 * [taylor]: Taking taylor expansion of 4 in x 9.898 * [backup-simplify]: Simplify 4 into 4 9.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 9.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 9.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.898 * [taylor]: Taking taylor expansion of x in x 9.898 * [backup-simplify]: Simplify 0 into 0 9.898 * [backup-simplify]: Simplify 1 into 1 9.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.898 * [taylor]: Taking taylor expansion of y in x 9.898 * [backup-simplify]: Simplify y into y 9.898 * [backup-simplify]: Simplify (* 1 1) into 1 9.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.898 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 9.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 9.898 * [taylor]: Taking taylor expansion of (pow y 4) in x 9.898 * [taylor]: Taking taylor expansion of y in x 9.898 * [backup-simplify]: Simplify y into y 9.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.899 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 9.899 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 9.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.899 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.899 * [taylor]: Taking taylor expansion of x in x 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify 1 into 1 9.899 * [backup-simplify]: Simplify (* 1 1) into 1 9.899 * [backup-simplify]: Simplify (* 1 1) into 1 9.899 * [backup-simplify]: Simplify (/ 1 1) into 1 9.899 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.900 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.900 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.900 * [taylor]: Taking taylor expansion of 4 in y 9.900 * [backup-simplify]: Simplify 4 into 4 9.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.900 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.900 * [taylor]: Taking taylor expansion of x in y 9.900 * [backup-simplify]: Simplify x into x 9.900 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.900 * [taylor]: Taking taylor expansion of y in y 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (* 1 1) into 1 9.900 * [backup-simplify]: Simplify (* 1 1) into 1 9.900 * [backup-simplify]: Simplify (* x 1) into x 9.900 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.900 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.900 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.900 * [taylor]: Taking taylor expansion of 4 in y 9.900 * [backup-simplify]: Simplify 4 into 4 9.900 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.900 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.900 * [taylor]: Taking taylor expansion of x in y 9.900 * [backup-simplify]: Simplify x into x 9.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.900 * [taylor]: Taking taylor expansion of y in y 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.901 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.901 * [backup-simplify]: Simplify (* 1 1) into 1 9.901 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.901 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.901 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.901 * [taylor]: Taking taylor expansion of y in y 9.901 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify 1 into 1 9.901 * [backup-simplify]: Simplify (* 1 1) into 1 9.902 * [backup-simplify]: Simplify (* 1 1) into 1 9.902 * [backup-simplify]: Simplify (/ 1 1) into 1 9.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.902 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.902 * [taylor]: Taking taylor expansion of x in y 9.902 * [backup-simplify]: Simplify x into x 9.902 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.902 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.902 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.902 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.902 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.902 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.902 * [taylor]: Taking taylor expansion of 4 in y 9.902 * [backup-simplify]: Simplify 4 into 4 9.902 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.902 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.902 * [taylor]: Taking taylor expansion of x in y 9.902 * [backup-simplify]: Simplify x into x 9.902 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.902 * [taylor]: Taking taylor expansion of y in y 9.902 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify 1 into 1 9.903 * [backup-simplify]: Simplify (* 1 1) into 1 9.903 * [backup-simplify]: Simplify (* 1 1) into 1 9.903 * [backup-simplify]: Simplify (* x 1) into x 9.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.903 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.903 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.903 * [taylor]: Taking taylor expansion of 4 in y 9.903 * [backup-simplify]: Simplify 4 into 4 9.903 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.903 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.903 * [taylor]: Taking taylor expansion of x in y 9.903 * [backup-simplify]: Simplify x into x 9.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.903 * [taylor]: Taking taylor expansion of y in y 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 1 into 1 9.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.903 * [backup-simplify]: Simplify (* 1 1) into 1 9.904 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.904 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.904 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.904 * [taylor]: Taking taylor expansion of y in y 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [backup-simplify]: Simplify (* 1 1) into 1 9.904 * [backup-simplify]: Simplify (* 1 1) into 1 9.904 * [backup-simplify]: Simplify (/ 1 1) into 1 9.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.904 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.904 * [taylor]: Taking taylor expansion of x in y 9.904 * [backup-simplify]: Simplify x into x 9.905 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.905 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.905 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.905 * [backup-simplify]: Simplify (+ 0 1) into 1 9.905 * [backup-simplify]: Simplify (+ 0 1) into 1 9.906 * [backup-simplify]: Simplify (+ 1 0) into 1 9.906 * [taylor]: Taking taylor expansion of 1 in x 9.906 * [backup-simplify]: Simplify 1 into 1 9.906 * [backup-simplify]: Simplify (* 4 (/ 1 x)) into (/ 4 x) 9.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.907 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [backup-simplify]: Simplify (+ (/ 4 x) 0) into (* 4 (/ 1 x)) 9.907 * [backup-simplify]: Simplify (+ (* 4 (/ 1 x)) 0) into (* 4 (/ 1 x)) 9.907 * [taylor]: Taking taylor expansion of (* 4 (/ 1 x)) in x 9.907 * [taylor]: Taking taylor expansion of 4 in x 9.907 * [backup-simplify]: Simplify 4 into 4 9.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.907 * [taylor]: Taking taylor expansion of x in x 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 1 into 1 9.908 * [backup-simplify]: Simplify (/ 1 1) into 1 9.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.909 * [backup-simplify]: Simplify (+ (* x 0) (* 0 1)) into 0 9.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.910 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 x))) into 0 9.910 * [backup-simplify]: Simplify (* 4 (/ 1 (pow x 2))) into (/ 4 (pow x 2)) 9.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (+ (/ 4 (pow x 2)) 0) into (* 4 (/ 1 (pow x 2))) 9.913 * [backup-simplify]: Simplify (+ 0 (* 4 (/ 1 (pow x 2)))) into (* 4 (/ 1 (pow x 2))) 9.913 * [backup-simplify]: Simplify (+ (* 4 (/ 1 (pow x 2))) 0) into (* 4 (/ 1 (pow x 2))) 9.913 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow x 2))) in x 9.913 * [taylor]: Taking taylor expansion of 4 in x 9.913 * [backup-simplify]: Simplify 4 into 4 9.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.913 * [taylor]: Taking taylor expansion of x in x 9.913 * [backup-simplify]: Simplify 0 into 0 9.913 * [backup-simplify]: Simplify 1 into 1 9.914 * [backup-simplify]: Simplify (* 1 1) into 1 9.914 * [backup-simplify]: Simplify (/ 1 1) into 1 9.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.916 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 1))) into 0 9.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.917 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.918 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.918 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 9.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 9.919 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow x 2)))) into 0 9.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.922 * [backup-simplify]: Simplify (+ 0 0) into 0 9.922 * [backup-simplify]: Simplify (+ 0 0) into 0 9.923 * [backup-simplify]: Simplify (+ 0 0) into 0 9.923 * [taylor]: Taking taylor expansion of 0 in x 9.923 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.926 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.927 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 9.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.928 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 9.929 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 9.930 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into 0 9.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.932 * [backup-simplify]: Simplify (+ 0 0) into 0 9.932 * [backup-simplify]: Simplify (+ 0 0) into 0 9.932 * [backup-simplify]: Simplify (- (/ 1 (pow x 4))) into (- (/ 1 (pow x 4))) 9.932 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 4)))) into (- (/ 1 (pow x 4))) 9.932 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 9.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.932 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.932 * [taylor]: Taking taylor expansion of x in x 9.932 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify 1 into 1 9.933 * [backup-simplify]: Simplify (* 1 1) into 1 9.933 * [backup-simplify]: Simplify (* 1 1) into 1 9.933 * [backup-simplify]: Simplify (/ 1 1) into 1 9.934 * [backup-simplify]: Simplify (- 1) into -1 9.934 * [backup-simplify]: Simplify -1 into -1 9.934 * [backup-simplify]: Simplify (* 4 1) into 4 9.934 * [backup-simplify]: Simplify 4 into 4 9.934 * [backup-simplify]: Simplify (* 4 1) into 4 9.934 * [backup-simplify]: Simplify 4 into 4 9.935 * [backup-simplify]: Simplify (+ (* 4 (* (/ 1 (/ 1 x)) (pow (/ 1 y) -3))) (+ (* 4 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2)) (* -1 (pow (* (/ 1 (/ 1 x)) 1) 4)))) into (- (+ (* 4 (* (pow x 2) (pow y 2))) (* 4 (* x (pow y 3)))) (pow x 4)) 9.935 * [backup-simplify]: Simplify (- (* (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x)))))) (pow (/ 1 (- x)) 4)) into (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) 9.935 * [approximate]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in (y x) around 0 9.935 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in x 9.935 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in x 9.935 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in x 9.935 * [taylor]: Taking taylor expansion of 4 in x 9.935 * [backup-simplify]: Simplify 4 into 4 9.935 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in x 9.935 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 1 into 1 9.936 * [taylor]: Taking taylor expansion of (pow y 3) in x 9.936 * [taylor]: Taking taylor expansion of y in x 9.936 * [backup-simplify]: Simplify y into y 9.936 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.936 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 9.936 * [backup-simplify]: Simplify (* 0 (pow y 3)) into 0 9.936 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.936 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 9.936 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 3))) into (pow y 3) 9.936 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3)) 9.936 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in x 9.936 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 9.936 * [taylor]: Taking taylor expansion of 4 in x 9.936 * [backup-simplify]: Simplify 4 into 4 9.936 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 9.936 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 9.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.937 * [taylor]: Taking taylor expansion of x in x 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.937 * [taylor]: Taking taylor expansion of y in x 9.937 * [backup-simplify]: Simplify y into y 9.937 * [backup-simplify]: Simplify (* 1 1) into 1 9.937 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.937 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 9.937 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 9.937 * [taylor]: Taking taylor expansion of (pow y 4) in x 9.937 * [taylor]: Taking taylor expansion of y in x 9.937 * [backup-simplify]: Simplify y into y 9.937 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.937 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 9.937 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 9.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.937 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.937 * [taylor]: Taking taylor expansion of x in x 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.938 * [backup-simplify]: Simplify (* 1 1) into 1 9.938 * [backup-simplify]: Simplify (* 1 1) into 1 9.938 * [backup-simplify]: Simplify (/ 1 1) into 1 9.938 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.938 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.938 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.938 * [taylor]: Taking taylor expansion of 4 in y 9.938 * [backup-simplify]: Simplify 4 into 4 9.938 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.938 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.938 * [taylor]: Taking taylor expansion of x in y 9.938 * [backup-simplify]: Simplify x into x 9.938 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.938 * [taylor]: Taking taylor expansion of y in y 9.938 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify 1 into 1 9.939 * [backup-simplify]: Simplify (* 1 1) into 1 9.939 * [backup-simplify]: Simplify (* 1 1) into 1 9.939 * [backup-simplify]: Simplify (* x 1) into x 9.939 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.939 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.939 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.939 * [taylor]: Taking taylor expansion of 4 in y 9.939 * [backup-simplify]: Simplify 4 into 4 9.939 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.939 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.939 * [taylor]: Taking taylor expansion of x in y 9.939 * [backup-simplify]: Simplify x into x 9.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.939 * [taylor]: Taking taylor expansion of y in y 9.939 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify 1 into 1 9.939 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.939 * [backup-simplify]: Simplify (* 1 1) into 1 9.940 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.940 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.940 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.940 * [taylor]: Taking taylor expansion of y in y 9.940 * [backup-simplify]: Simplify 0 into 0 9.940 * [backup-simplify]: Simplify 1 into 1 9.940 * [backup-simplify]: Simplify (* 1 1) into 1 9.940 * [backup-simplify]: Simplify (* 1 1) into 1 9.941 * [backup-simplify]: Simplify (/ 1 1) into 1 9.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.941 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.941 * [taylor]: Taking taylor expansion of x in y 9.941 * [backup-simplify]: Simplify x into x 9.941 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.941 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.941 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.941 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) (/ 1 (pow x 4))) in y 9.941 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* x (pow y 3)))) (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4)))) in y 9.941 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* x (pow y 3)))) in y 9.941 * [taylor]: Taking taylor expansion of 4 in y 9.941 * [backup-simplify]: Simplify 4 into 4 9.941 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 3))) in y 9.941 * [taylor]: Taking taylor expansion of (* x (pow y 3)) in y 9.941 * [taylor]: Taking taylor expansion of x in y 9.941 * [backup-simplify]: Simplify x into x 9.941 * [taylor]: Taking taylor expansion of (pow y 3) in y 9.942 * [taylor]: Taking taylor expansion of y in y 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify 1 into 1 9.942 * [backup-simplify]: Simplify (* 1 1) into 1 9.942 * [backup-simplify]: Simplify (* 1 1) into 1 9.942 * [backup-simplify]: Simplify (* x 1) into x 9.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.942 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (pow y 4))) in y 9.942 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 9.942 * [taylor]: Taking taylor expansion of 4 in y 9.942 * [backup-simplify]: Simplify 4 into 4 9.942 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 9.943 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 9.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.943 * [taylor]: Taking taylor expansion of x in y 9.943 * [backup-simplify]: Simplify x into x 9.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.943 * [taylor]: Taking taylor expansion of y in y 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 1 into 1 9.943 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.943 * [backup-simplify]: Simplify (* 1 1) into 1 9.943 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 9.943 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.943 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.943 * [taylor]: Taking taylor expansion of y in y 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 1 into 1 9.944 * [backup-simplify]: Simplify (* 1 1) into 1 9.944 * [backup-simplify]: Simplify (* 1 1) into 1 9.944 * [backup-simplify]: Simplify (/ 1 1) into 1 9.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 9.945 * [taylor]: Taking taylor expansion of (pow x 4) in y 9.945 * [taylor]: Taking taylor expansion of x in y 9.945 * [backup-simplify]: Simplify x into x 9.945 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.945 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 9.945 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 9.945 * [backup-simplify]: Simplify (+ 0 1) into 1 9.946 * [backup-simplify]: Simplify (+ 0 1) into 1 9.946 * [backup-simplify]: Simplify (+ 1 0) into 1 9.946 * [taylor]: Taking taylor expansion of 1 in x 9.946 * [backup-simplify]: Simplify 1 into 1 9.946 * [backup-simplify]: Simplify (* 4 (/ 1 x)) into (/ 4 x) 9.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.948 * [backup-simplify]: Simplify (+ 0 0) into 0 9.949 * [backup-simplify]: Simplify (+ (/ 4 x) 0) into (* 4 (/ 1 x)) 9.949 * [backup-simplify]: Simplify (+ (* 4 (/ 1 x)) 0) into (* 4 (/ 1 x)) 9.949 * [taylor]: Taking taylor expansion of (* 4 (/ 1 x)) in x 9.949 * [taylor]: Taking taylor expansion of 4 in x 9.949 * [backup-simplify]: Simplify 4 into 4 9.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.949 * [taylor]: Taking taylor expansion of x in x 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.949 * [backup-simplify]: Simplify (/ 1 1) into 1 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.950 * [backup-simplify]: Simplify (+ (* x 0) (* 0 1)) into 0 9.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.951 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 x))) into 0 9.951 * [backup-simplify]: Simplify (* 4 (/ 1 (pow x 2))) into (/ 4 (pow x 2)) 9.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.952 * [backup-simplify]: Simplify (+ (/ 4 (pow x 2)) 0) into (* 4 (/ 1 (pow x 2))) 9.953 * [backup-simplify]: Simplify (+ 0 (* 4 (/ 1 (pow x 2)))) into (* 4 (/ 1 (pow x 2))) 9.953 * [backup-simplify]: Simplify (+ (* 4 (/ 1 (pow x 2))) 0) into (* 4 (/ 1 (pow x 2))) 9.953 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow x 2))) in x 9.953 * [taylor]: Taking taylor expansion of 4 in x 9.953 * [backup-simplify]: Simplify 4 into 4 9.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.953 * [taylor]: Taking taylor expansion of x in x 9.953 * [backup-simplify]: Simplify 0 into 0 9.953 * [backup-simplify]: Simplify 1 into 1 9.953 * [backup-simplify]: Simplify (* 1 1) into 1 9.953 * [backup-simplify]: Simplify (/ 1 1) into 1 9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.955 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 1))) into 0 9.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.955 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.956 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.956 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 9.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 9.957 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow x 2)))) into 0 9.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.961 * [taylor]: Taking taylor expansion of 0 in x 9.962 * [backup-simplify]: Simplify 0 into 0 9.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.964 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.965 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 9.965 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 9.966 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into 0 9.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.968 * [backup-simplify]: Simplify (+ 0 0) into 0 9.969 * [backup-simplify]: Simplify (+ 0 0) into 0 9.969 * [backup-simplify]: Simplify (- (/ 1 (pow x 4))) into (- (/ 1 (pow x 4))) 9.969 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 4)))) into (- (/ 1 (pow x 4))) 9.969 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 9.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.969 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.969 * [taylor]: Taking taylor expansion of x in x 9.969 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify 1 into 1 9.969 * [backup-simplify]: Simplify (* 1 1) into 1 9.969 * [backup-simplify]: Simplify (* 1 1) into 1 9.970 * [backup-simplify]: Simplify (/ 1 1) into 1 9.970 * [backup-simplify]: Simplify (- 1) into -1 9.970 * [backup-simplify]: Simplify -1 into -1 9.970 * [backup-simplify]: Simplify (* 4 1) into 4 9.970 * [backup-simplify]: Simplify 4 into 4 9.970 * [backup-simplify]: Simplify (* 4 1) into 4 9.970 * [backup-simplify]: Simplify 4 into 4 9.971 * [backup-simplify]: Simplify (+ (* 4 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) -3))) (+ (* 4 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- x))) 1) 4)))) into (- (+ (* 4 (* (pow x 2) (pow y 2))) (* 4 (* x (pow y 3)))) (pow x 4)) 9.971 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.971 * [backup-simplify]: Simplify (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) into (* (pow (+ (* 2 x) y) 2) (pow y 2)) 9.971 * [approximate]: Taking taylor expansion of (* (pow (+ (* 2 x) y) 2) (pow y 2)) in (y x) around 0 9.971 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2 x) y) 2) (pow y 2)) in x 9.971 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 2) in x 9.971 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 9.971 * [taylor]: Taking taylor expansion of (* 2 x) in x 9.971 * [taylor]: Taking taylor expansion of 2 in x 9.971 * [backup-simplify]: Simplify 2 into 2 9.971 * [taylor]: Taking taylor expansion of x in x 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [taylor]: Taking taylor expansion of y in x 9.972 * [backup-simplify]: Simplify y into y 9.972 * [backup-simplify]: Simplify (* 2 0) into 0 9.972 * [backup-simplify]: Simplify (+ 0 y) into y 9.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.972 * [taylor]: Taking taylor expansion of y in x 9.972 * [backup-simplify]: Simplify y into y 9.972 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2 x) y) 2) (pow y 2)) in y 9.972 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 2) in y 9.972 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 9.972 * [taylor]: Taking taylor expansion of (* 2 x) in y 9.972 * [taylor]: Taking taylor expansion of 2 in y 9.972 * [backup-simplify]: Simplify 2 into 2 9.972 * [taylor]: Taking taylor expansion of x in y 9.972 * [backup-simplify]: Simplify x into x 9.972 * [taylor]: Taking taylor expansion of y in y 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 9.972 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 9.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.972 * [taylor]: Taking taylor expansion of y in y 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2 x) y) 2) (pow y 2)) in y 9.972 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 2) in y 9.972 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 9.972 * [taylor]: Taking taylor expansion of (* 2 x) in y 9.972 * [taylor]: Taking taylor expansion of 2 in y 9.972 * [backup-simplify]: Simplify 2 into 2 9.972 * [taylor]: Taking taylor expansion of x in y 9.972 * [backup-simplify]: Simplify x into x 9.972 * [taylor]: Taking taylor expansion of y in y 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 9.973 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 9.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.973 * [taylor]: Taking taylor expansion of y in y 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (* (* 2 x) (* 2 x)) into (* 4 (pow x 2)) 9.973 * [backup-simplify]: Simplify (* 1 1) into 1 9.973 * [backup-simplify]: Simplify (* (* 4 (pow x 2)) 1) into (* 4 (pow x 2)) 9.973 * [taylor]: Taking taylor expansion of (* 4 (pow x 2)) in x 9.973 * [taylor]: Taking taylor expansion of 4 in x 9.973 * [backup-simplify]: Simplify 4 into 4 9.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.973 * [taylor]: Taking taylor expansion of x in x 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.974 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 9.974 * [backup-simplify]: Simplify (+ 0 1) into 1 9.974 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 (* 2 x))) into (* 4 x) 9.975 * [backup-simplify]: Simplify (+ (* (* 4 (pow x 2)) 0) (* (* 4 x) 1)) into (* 4 x) 9.975 * [taylor]: Taking taylor expansion of (* 4 x) in x 9.975 * [taylor]: Taking taylor expansion of 4 in x 9.975 * [backup-simplify]: Simplify 4 into 4 9.975 * [taylor]: Taking taylor expansion of x in x 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify 1 into 1 9.975 * [backup-simplify]: Simplify (* 4 0) into 0 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 9.977 * [backup-simplify]: Simplify (+ (* (* 4 (pow x 2)) 0) (+ (* (* 4 x) 0) (* 1 1))) into 1 9.977 * [taylor]: Taking taylor expansion of 1 in x 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (+ (* 4 1) (* 0 0)) into 4 9.977 * [backup-simplify]: Simplify 4 into 4 9.978 * [backup-simplify]: Simplify (* 1 1) into 1 9.978 * [backup-simplify]: Simplify (* 4 1) into 4 9.978 * [backup-simplify]: Simplify 4 into 4 9.978 * [backup-simplify]: Simplify (+ (* 4 (pow (* x y) 2)) (+ (* 4 (* x (pow y 3))) (* 1 (pow (* 1 y) 4)))) into (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) 9.979 * [backup-simplify]: Simplify (* (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x))))) into (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) 9.979 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in (y x) around 0 9.979 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in x 9.979 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) in x 9.979 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 9.979 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.979 * [taylor]: Taking taylor expansion of y in x 9.979 * [backup-simplify]: Simplify y into y 9.979 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 9.979 * [taylor]: Taking taylor expansion of 2 in x 9.979 * [backup-simplify]: Simplify 2 into 2 9.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.979 * [taylor]: Taking taylor expansion of x in x 9.979 * [backup-simplify]: Simplify 0 into 0 9.979 * [backup-simplify]: Simplify 1 into 1 9.979 * [backup-simplify]: Simplify (/ 1 1) into 1 9.979 * [backup-simplify]: Simplify (* 2 1) into 2 9.980 * [backup-simplify]: Simplify (+ 0 2) into 2 9.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.980 * [taylor]: Taking taylor expansion of y in x 9.980 * [backup-simplify]: Simplify y into y 9.980 * [backup-simplify]: Simplify (* 2 2) into 4 9.980 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.980 * [backup-simplify]: Simplify (/ 4 (pow y 2)) into (/ 4 (pow y 2)) 9.980 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in y 9.980 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) in y 9.980 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 9.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.980 * [taylor]: Taking taylor expansion of y in y 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 1 into 1 9.981 * [backup-simplify]: Simplify (/ 1 1) into 1 9.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 9.981 * [taylor]: Taking taylor expansion of 2 in y 9.981 * [backup-simplify]: Simplify 2 into 2 9.981 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.981 * [taylor]: Taking taylor expansion of x in y 9.981 * [backup-simplify]: Simplify x into x 9.981 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.981 * [backup-simplify]: Simplify (+ 1 0) into 1 9.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.981 * [taylor]: Taking taylor expansion of y in y 9.981 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify 1 into 1 9.981 * [backup-simplify]: Simplify (* 1 1) into 1 9.982 * [backup-simplify]: Simplify (* 1 1) into 1 9.982 * [backup-simplify]: Simplify (/ 1 1) into 1 9.982 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in y 9.982 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) in y 9.982 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 9.982 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.982 * [taylor]: Taking taylor expansion of y in y 9.982 * [backup-simplify]: Simplify 0 into 0 9.982 * [backup-simplify]: Simplify 1 into 1 9.983 * [backup-simplify]: Simplify (/ 1 1) into 1 9.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 9.983 * [taylor]: Taking taylor expansion of 2 in y 9.983 * [backup-simplify]: Simplify 2 into 2 9.983 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.983 * [taylor]: Taking taylor expansion of x in y 9.983 * [backup-simplify]: Simplify x into x 9.983 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.983 * [backup-simplify]: Simplify (+ 1 0) into 1 9.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.983 * [taylor]: Taking taylor expansion of y in y 9.983 * [backup-simplify]: Simplify 0 into 0 9.983 * [backup-simplify]: Simplify 1 into 1 9.983 * [backup-simplify]: Simplify (* 1 1) into 1 9.984 * [backup-simplify]: Simplify (* 1 1) into 1 9.984 * [backup-simplify]: Simplify (/ 1 1) into 1 9.984 * [taylor]: Taking taylor expansion of 1 in x 9.984 * [backup-simplify]: Simplify 1 into 1 9.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.984 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 9.985 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 9.985 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* (* 2 (/ 1 x)) 1)) into (* 4 (/ 1 x)) 9.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.985 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 4 (/ 1 x)) 9.985 * [taylor]: Taking taylor expansion of (* 4 (/ 1 x)) in x 9.986 * [taylor]: Taking taylor expansion of 4 in x 9.986 * [backup-simplify]: Simplify 4 into 4 9.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.986 * [taylor]: Taking taylor expansion of x in x 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (/ 1 1) into 1 9.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.987 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 9.987 * [backup-simplify]: Simplify (+ 0 0) into 0 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 x)) (* 2 (/ 1 x))) (* 0 1))) into (* 4 (/ 1 (pow x 2))) 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.989 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 (pow x 2))) 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 x)) (/ 0 1)))) into (* 4 (/ 1 (pow x 2))) 9.989 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow x 2))) in x 9.989 * [taylor]: Taking taylor expansion of 4 in x 9.989 * [backup-simplify]: Simplify 4 into 4 9.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.989 * [taylor]: Taking taylor expansion of x in x 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (* 1 1) into 1 9.990 * [backup-simplify]: Simplify (/ 1 1) into 1 9.990 * [backup-simplify]: Simplify (* 4 1) into 4 9.990 * [backup-simplify]: Simplify 4 into 4 9.990 * [backup-simplify]: Simplify (* 4 1) into 4 9.990 * [backup-simplify]: Simplify 4 into 4 9.990 * [backup-simplify]: Simplify 1 into 1 9.991 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (+ (* 4 (* (/ 1 (/ 1 x)) (pow (/ 1 y) -3))) (* 4 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2)))) into (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) 9.991 * [backup-simplify]: Simplify (* (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x)))))) into (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) 9.991 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in (y x) around 0 9.991 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in x 9.991 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) in x 9.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 9.991 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.991 * [taylor]: Taking taylor expansion of y in x 9.991 * [backup-simplify]: Simplify y into y 9.991 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 9.991 * [taylor]: Taking taylor expansion of 2 in x 9.991 * [backup-simplify]: Simplify 2 into 2 9.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.991 * [taylor]: Taking taylor expansion of x in x 9.991 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify 1 into 1 9.992 * [backup-simplify]: Simplify (/ 1 1) into 1 9.992 * [backup-simplify]: Simplify (* 2 1) into 2 9.992 * [backup-simplify]: Simplify (+ 0 2) into 2 9.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.992 * [taylor]: Taking taylor expansion of y in x 9.992 * [backup-simplify]: Simplify y into y 9.992 * [backup-simplify]: Simplify (* 2 2) into 4 9.992 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.993 * [backup-simplify]: Simplify (/ 4 (pow y 2)) into (/ 4 (pow y 2)) 9.993 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in y 9.993 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) in y 9.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 9.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.993 * [taylor]: Taking taylor expansion of y in y 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 1 into 1 9.993 * [backup-simplify]: Simplify (/ 1 1) into 1 9.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 9.993 * [taylor]: Taking taylor expansion of 2 in y 9.993 * [backup-simplify]: Simplify 2 into 2 9.993 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.993 * [taylor]: Taking taylor expansion of x in y 9.993 * [backup-simplify]: Simplify x into x 9.993 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.993 * [backup-simplify]: Simplify (+ 1 0) into 1 9.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.993 * [taylor]: Taking taylor expansion of y in y 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.994 * [backup-simplify]: Simplify (/ 1 1) into 1 9.994 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) (pow y 2)) in y 9.994 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 2) in y 9.994 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 9.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.994 * [taylor]: Taking taylor expansion of y in y 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (/ 1 1) into 1 9.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 9.995 * [taylor]: Taking taylor expansion of 2 in y 9.995 * [backup-simplify]: Simplify 2 into 2 9.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.995 * [taylor]: Taking taylor expansion of x in y 9.995 * [backup-simplify]: Simplify x into x 9.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.995 * [backup-simplify]: Simplify (+ 1 0) into 1 9.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.995 * [taylor]: Taking taylor expansion of y in y 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [backup-simplify]: Simplify (* 1 1) into 1 9.995 * [backup-simplify]: Simplify (* 1 1) into 1 9.996 * [backup-simplify]: Simplify (/ 1 1) into 1 9.996 * [taylor]: Taking taylor expansion of 1 in x 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 9.996 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 9.996 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* (* 2 (/ 1 x)) 1)) into (* 4 (/ 1 x)) 9.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.997 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 4 (/ 1 x)) 9.997 * [taylor]: Taking taylor expansion of (* 4 (/ 1 x)) in x 9.997 * [taylor]: Taking taylor expansion of 4 in x 9.997 * [backup-simplify]: Simplify 4 into 4 9.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.997 * [taylor]: Taking taylor expansion of x in x 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 1 into 1 9.998 * [backup-simplify]: Simplify (/ 1 1) into 1 9.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.999 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 x)) (* 2 (/ 1 x))) (* 0 1))) into (* 4 (/ 1 (pow x 2))) 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.001 * [backup-simplify]: Simplify (- (/ (* 4 (/ 1 (pow x 2))) 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 x)) (/ 0 1)))) into (* 4 (/ 1 (pow x 2))) 10.001 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow x 2))) in x 10.001 * [taylor]: Taking taylor expansion of 4 in x 10.001 * [backup-simplify]: Simplify 4 into 4 10.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.001 * [taylor]: Taking taylor expansion of x in x 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (* 1 1) into 1 10.001 * [backup-simplify]: Simplify (/ 1 1) into 1 10.002 * [backup-simplify]: Simplify (* 4 1) into 4 10.002 * [backup-simplify]: Simplify 4 into 4 10.002 * [backup-simplify]: Simplify (* 4 1) into 4 10.002 * [backup-simplify]: Simplify 4 into 4 10.002 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (+ (* 4 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) -3))) (* 4 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2)))) into (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) 10.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 10.003 * [backup-simplify]: Simplify (* y (+ y (* 2 x))) into (* (+ (* 2 x) y) y) 10.003 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 10.003 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 10.003 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 10.003 * [taylor]: Taking taylor expansion of (* 2 x) in x 10.003 * [taylor]: Taking taylor expansion of 2 in x 10.003 * [backup-simplify]: Simplify 2 into 2 10.003 * [taylor]: Taking taylor expansion of x in x 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of y in x 10.003 * [backup-simplify]: Simplify y into y 10.003 * [taylor]: Taking taylor expansion of y in x 10.003 * [backup-simplify]: Simplify y into y 10.003 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 10.003 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 10.003 * [taylor]: Taking taylor expansion of (* 2 x) in y 10.003 * [taylor]: Taking taylor expansion of 2 in y 10.003 * [backup-simplify]: Simplify 2 into 2 10.003 * [taylor]: Taking taylor expansion of x in y 10.003 * [backup-simplify]: Simplify x into x 10.003 * [taylor]: Taking taylor expansion of y in y 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of y in y 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 10.003 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 10.003 * [taylor]: Taking taylor expansion of (* 2 x) in y 10.003 * [taylor]: Taking taylor expansion of 2 in y 10.003 * [backup-simplify]: Simplify 2 into 2 10.003 * [taylor]: Taking taylor expansion of x in y 10.003 * [backup-simplify]: Simplify x into x 10.003 * [taylor]: Taking taylor expansion of y in y 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of y in y 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 10.004 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 10.004 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 10.004 * [taylor]: Taking taylor expansion of 0 in x 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 10.004 * [backup-simplify]: Simplify (+ 0 1) into 1 10.005 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 10.005 * [taylor]: Taking taylor expansion of (* 2 x) in x 10.005 * [taylor]: Taking taylor expansion of 2 in x 10.005 * [backup-simplify]: Simplify 2 into 2 10.005 * [taylor]: Taking taylor expansion of x in x 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.005 * [backup-simplify]: Simplify (* 2 0) into 0 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 10.006 * [backup-simplify]: Simplify (+ 0 0) into 0 10.006 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 10.006 * [taylor]: Taking taylor expansion of 1 in x 10.006 * [backup-simplify]: Simplify 1 into 1 10.006 * [backup-simplify]: Simplify 1 into 1 10.007 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 10.007 * [backup-simplify]: Simplify 2 into 2 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 10.008 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.008 * [taylor]: Taking taylor expansion of 0 in x 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 10.010 * [backup-simplify]: Simplify (+ 0 0) into 0 10.011 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.011 * [taylor]: Taking taylor expansion of 0 in x 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 10.011 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 10.011 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 10.011 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 10.011 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 10.011 * [taylor]: Taking taylor expansion of (/ 1 y) in x 10.011 * [taylor]: Taking taylor expansion of y in x 10.011 * [backup-simplify]: Simplify y into y 10.011 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 10.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 10.011 * [taylor]: Taking taylor expansion of 2 in x 10.011 * [backup-simplify]: Simplify 2 into 2 10.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.011 * [taylor]: Taking taylor expansion of x in x 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (/ 1 1) into 1 10.012 * [taylor]: Taking taylor expansion of y in x 10.012 * [backup-simplify]: Simplify y into y 10.012 * [backup-simplify]: Simplify (* 2 1) into 2 10.012 * [backup-simplify]: Simplify (+ 0 2) into 2 10.012 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 10.012 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 10.012 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 10.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 10.012 * [taylor]: Taking taylor expansion of y in y 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 10.013 * [taylor]: Taking taylor expansion of 2 in y 10.013 * [backup-simplify]: Simplify 2 into 2 10.013 * [taylor]: Taking taylor expansion of (/ 1 x) in y 10.013 * [taylor]: Taking taylor expansion of x in y 10.013 * [backup-simplify]: Simplify x into x 10.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 10.013 * [taylor]: Taking taylor expansion of y in y 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (+ 1 0) into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 10.013 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 10.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 10.013 * [taylor]: Taking taylor expansion of y in y 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (/ 1 1) into 1 10.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 10.014 * [taylor]: Taking taylor expansion of 2 in y 10.014 * [backup-simplify]: Simplify 2 into 2 10.014 * [taylor]: Taking taylor expansion of (/ 1 x) in y 10.014 * [taylor]: Taking taylor expansion of x in y 10.014 * [backup-simplify]: Simplify x into x 10.014 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 10.014 * [taylor]: Taking taylor expansion of y in y 10.014 * [backup-simplify]: Simplify 0 into 0 10.014 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (+ 1 0) into 1 10.014 * [backup-simplify]: Simplify (/ 1 1) into 1 10.014 * [taylor]: Taking taylor expansion of 1 in x 10.014 * [backup-simplify]: Simplify 1 into 1 10.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 10.015 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 10.015 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 10.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 10.015 * [taylor]: Taking taylor expansion of 2 in x 10.015 * [backup-simplify]: Simplify 2 into 2 10.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.015 * [taylor]: Taking taylor expansion of x in x 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (/ 1 1) into 1 10.016 * [backup-simplify]: Simplify (* 2 1) into 2 10.016 * [backup-simplify]: Simplify 2 into 2 10.016 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 10.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 10.017 * [backup-simplify]: Simplify (+ 0 0) into 0 10.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 10.018 * [taylor]: Taking taylor expansion of 0 in x 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 10.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 10.021 * [backup-simplify]: Simplify (+ 0 0) into 0 10.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.022 * [taylor]: Taking taylor expansion of 0 in x 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 10.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 10.026 * [backup-simplify]: Simplify (+ 0 0) into 0 10.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.028 * [taylor]: Taking taylor expansion of 0 in x 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 10.029 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 10.029 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 10.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 10.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 10.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 10.029 * [taylor]: Taking taylor expansion of y in x 10.029 * [backup-simplify]: Simplify y into y 10.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 10.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 10.029 * [taylor]: Taking taylor expansion of 2 in x 10.029 * [backup-simplify]: Simplify 2 into 2 10.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.029 * [taylor]: Taking taylor expansion of x in x 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 1 into 1 10.030 * [backup-simplify]: Simplify (/ 1 1) into 1 10.030 * [taylor]: Taking taylor expansion of y in x 10.030 * [backup-simplify]: Simplify y into y 10.030 * [backup-simplify]: Simplify (* 2 1) into 2 10.031 * [backup-simplify]: Simplify (+ 0 2) into 2 10.031 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 10.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 10.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 10.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 10.031 * [taylor]: Taking taylor expansion of y in y 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (/ 1 1) into 1 10.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 10.031 * [taylor]: Taking taylor expansion of 2 in y 10.031 * [backup-simplify]: Simplify 2 into 2 10.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 10.031 * [taylor]: Taking taylor expansion of x in y 10.031 * [backup-simplify]: Simplify x into x 10.031 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 10.031 * [taylor]: Taking taylor expansion of y in y 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (+ 1 0) into 1 10.032 * [backup-simplify]: Simplify (/ 1 1) into 1 10.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 10.032 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 10.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 10.032 * [taylor]: Taking taylor expansion of y in y 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (/ 1 1) into 1 10.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 10.032 * [taylor]: Taking taylor expansion of 2 in y 10.032 * [backup-simplify]: Simplify 2 into 2 10.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 10.032 * [taylor]: Taking taylor expansion of x in y 10.032 * [backup-simplify]: Simplify x into x 10.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 10.032 * [taylor]: Taking taylor expansion of y in y 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.033 * [backup-simplify]: Simplify (+ 1 0) into 1 10.033 * [backup-simplify]: Simplify (/ 1 1) into 1 10.033 * [taylor]: Taking taylor expansion of 1 in x 10.033 * [backup-simplify]: Simplify 1 into 1 10.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 10.034 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 10.034 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 10.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 10.034 * [taylor]: Taking taylor expansion of 2 in x 10.034 * [backup-simplify]: Simplify 2 into 2 10.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.034 * [taylor]: Taking taylor expansion of x in x 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.034 * [backup-simplify]: Simplify (/ 1 1) into 1 10.035 * [backup-simplify]: Simplify (* 2 1) into 2 10.035 * [backup-simplify]: Simplify 2 into 2 10.035 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 10.036 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 10.036 * [backup-simplify]: Simplify (+ 0 0) into 0 10.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 10.037 * [taylor]: Taking taylor expansion of 0 in x 10.037 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 10.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 10.040 * [backup-simplify]: Simplify (+ 0 0) into 0 10.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.041 * [taylor]: Taking taylor expansion of 0 in x 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 10.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.047 * [taylor]: Taking taylor expansion of 0 in x 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 10.048 * * * [progress]: simplifying candidates 10.051 * [simplify]: Simplifying: (- (log (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4))) (log (- (* y (+ y (* 2 x))) (* x x)))) (log (/ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)))) (exp (/ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)))) (/ (* (* (- (* (* y (+ y (* 2 x))) (* y (+ y 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y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (- (+ (* 4 (* (pow x 2) (pow y 2))) (* 4 (* x (pow y 3)))) (pow x 4)) (- (+ (* 4 (* (pow x 2) (pow y 2))) (* 4 (* x (pow y 3)))) (pow x 4)) (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow y 4) (* 4 (* x (pow y 3))))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 10.058 * * [simplify]: Extracting # 0 : cost 0 10.058 * * [simplify]: Extracting # 1 : cost 0 10.059 * * [simplify]: Extracting # 2 : cost 0 10.059 * * [simplify]: Extracting # 3 : cost 0 10.060 * * [simplify]: Extracting # 4 : cost 0 10.060 * * [simplify]: Extracting # 5 : cost 0 10.061 * * [simplify]: Extracting # 6 : cost 0 10.061 * * [simplify]: Extracting # 7 : cost 0 10.062 * * [simplify]: iteration 0 : 209 enodes (cost 3914 ) 10.145 * * [simplify]: Extracting # 0 : cost 0 10.146 * * [simplify]: Extracting # 1 : cost 0 10.147 * * [simplify]: Extracting # 2 : cost 0 10.148 * * [simplify]: Extracting # 3 : cost 0 10.152 * * [simplify]: Extracting # 4 : cost 0 10.153 * * [simplify]: iteration 1 : 601 enodes (cost 3579 ) 10.552 * * [simplify]: Extracting # 0 : cost 0 10.555 * * [simplify]: Extracting # 1 : cost 0 10.558 * * [simplify]: Extracting # 2 : cost 0 10.561 * * [simplify]: Extracting # 3 : cost 0 10.564 * * [simplify]: Extracting # 4 : cost 0 10.567 * * [simplify]: Extracting # 5 : cost 0 10.569 * * [simplify]: iteration 2 : 2410 enodes (cost 3269 ) 11.488 * * [simplify]: Extracting # 0 : cost 0 11.498 * * [simplify]: Extracting # 1 : cost 0 11.509 * * [simplify]: Extracting # 2 : cost 0 11.519 * * [simplify]: Extracting # 3 : cost 0 11.529 * * [simplify]: Extracting # 4 : cost 0 11.547 * * [simplify]: iteration done: 5001 enodes (cost 2908 ) 11.549 * [simplify]: Simplified to: (log (+ (pow x 2) (* y (+ y (* 2 x))))) (log (+ (pow x 2) (* y (+ y (* 2 x))))) (exp (+ (pow x 2) (* y (+ y (* 2 x))))) (pow (+ (pow x 2) (* y (+ y (* 2 x)))) 3) (* (cbrt (+ (pow x 2) (* y (+ y (* 2 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2 x)))))) (cbrt (+ (pow x 2) (* y (+ y (* 2 x))))) (pow (+ (pow x 2) (* y (+ y (* 2 x)))) 3) (sqrt (+ (pow x 2) (* y (+ y (* 2 x))))) (sqrt (+ (pow x 2) (* y (+ y (* 2 x))))) (- (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4))) (- (- (* y (+ y (* 2 x))) (* x x))) (/ (+ y (* 2 x)) (/ (- 1 (/ (* x x) (* y (+ y (* 2 x))))) y)) (/ 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12.030 * * * [regime]: Found split indices: #