70.668 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: Extracting # 3 : cost 0 0.026 * * [simplify]: Extracting # 4 : cost 0 0.026 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.109 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.110 * * * * [pick]: Picked # 0.110 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.114 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.159 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.159 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.159 * [taylor]: Taking taylor expansion of (+ x y) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [backup-simplify]: Simplify x into x 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ x 0) into x 0.159 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.159 * [taylor]: Taking taylor expansion of (+ x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (+ 0 y) into y 0.159 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.159 * [taylor]: Taking taylor expansion of (+ x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (+ 0 y) into y 0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.160 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.160 * [taylor]: Taking taylor expansion of 2 in y 0.160 * [backup-simplify]: Simplify 2 into 2 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 2 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.161 * [backup-simplify]: Simplify 2 into 2 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [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)))) 0.162 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.162 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [backup-simplify]: Simplify x into x 0.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.165 * [taylor]: Taking taylor expansion of 2 in y 0.165 * [backup-simplify]: Simplify 2 into 2 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 2 1) into 2 0.168 * [backup-simplify]: Simplify 2 into 2 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [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)))) 0.168 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.169 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [backup-simplify]: Simplify x into x 0.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of 1 in y 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.172 * [taylor]: Taking taylor expansion of 2 in y 0.172 * [backup-simplify]: Simplify 2 into 2 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 2 1) into 2 0.175 * [backup-simplify]: Simplify 2 into 2 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [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)))) 0.176 * * * [progress]: simplifying candidates 0.177 * [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)))) 0.178 * * [simplify]: Extracting # 0 : cost 0 0.178 * * [simplify]: Extracting # 1 : cost 0 0.178 * * [simplify]: Extracting # 2 : cost 0 0.178 * * [simplify]: Extracting # 3 : cost 0 0.179 * * [simplify]: Extracting # 4 : cost 0 0.179 * * [simplify]: Extracting # 5 : cost 0 0.179 * * [simplify]: Extracting # 6 : cost 0 0.179 * * [simplify]: Extracting # 7 : cost 0 0.179 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.205 * * [simplify]: Extracting # 3 : cost 0 0.205 * * [simplify]: Extracting # 4 : cost 0 0.205 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.316 * * [simplify]: Extracting # 0 : cost 0 0.322 * * [simplify]: Extracting # 1 : cost 0 0.323 * * [simplify]: Extracting # 2 : cost 0 0.325 * * [simplify]: Extracting # 3 : cost 0 0.326 * * [simplify]: Extracting # 4 : cost 0 0.327 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.115 * * [simplify]: Extracting # 0 : cost 0 1.120 * * [simplify]: Extracting # 1 : cost 0 1.123 * * [simplify]: Extracting # 2 : cost 0 1.125 * * [simplify]: Extracting # 3 : cost 0 1.132 * * [simplify]: Extracting # 4 : cost 0 1.135 * * [simplify]: Extracting # 5 : cost 0 1.137 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.760 * * [simplify]: Extracting # 0 : cost 0 2.770 * * [simplify]: Extracting # 1 : cost 0 2.777 * * [simplify]: Extracting # 2 : cost 0 2.782 * * [simplify]: Extracting # 3 : cost 0 2.787 * * [simplify]: Extracting # 4 : cost 0 2.792 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.792 * [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)) 2.793 * * * [progress]: adding candidates to table 2.862 * * [progress]: iteration 2 / 4 2.862 * * * [progress]: picking best candidate 2.865 * * * * [pick]: Picked # 2.865 * * * [progress]: localizing error 2.872 * * * [progress]: generating rewritten candidates 2.872 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.895 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.916 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.953 * * * [progress]: generating series expansions 2.954 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.954 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.954 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.954 * [taylor]: Taking taylor expansion of x in y 2.954 * [backup-simplify]: Simplify x into x 2.954 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.954 * [taylor]: Taking taylor expansion of 2 in y 2.954 * [backup-simplify]: Simplify 2 into 2 2.954 * [taylor]: Taking taylor expansion of (* x y) in y 2.954 * [taylor]: Taking taylor expansion of x in y 2.954 * [backup-simplify]: Simplify x into x 2.954 * [taylor]: Taking taylor expansion of y in y 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.954 * [taylor]: Taking taylor expansion of x in x 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.955 * [taylor]: Taking taylor expansion of 2 in x 2.955 * [backup-simplify]: Simplify 2 into 2 2.955 * [taylor]: Taking taylor expansion of (* x y) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.955 * [taylor]: Taking taylor expansion of 2 in x 2.955 * [backup-simplify]: Simplify 2 into 2 2.955 * [taylor]: Taking taylor expansion of (* x y) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.956 * [backup-simplify]: Simplify (* 0 y) into 0 2.956 * [backup-simplify]: Simplify (* 2 0) into 0 2.956 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.956 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.957 * [taylor]: Taking taylor expansion of (pow y 2) 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 2.957 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.957 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.957 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.958 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.958 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.958 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.958 * [taylor]: Taking taylor expansion of 2 in y 2.958 * [backup-simplify]: Simplify 2 into 2 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 (* 2 0) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (* 1 1) into 1 2.959 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (+ 1 0) into 1 2.960 * [taylor]: Taking taylor expansion of 1 in y 2.960 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.961 * [backup-simplify]: Simplify 2 into 2 2.961 * [backup-simplify]: Simplify (* 1 1) into 1 2.961 * [backup-simplify]: Simplify 1 into 1 2.962 * [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)))) 2.962 * [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))))) 2.962 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.962 * [taylor]: Taking taylor expansion of x in y 2.962 * [backup-simplify]: Simplify x into x 2.962 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.962 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (* 1 1) into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.963 * [taylor]: Taking taylor expansion of 2 in y 2.963 * [backup-simplify]: Simplify 2 into 2 2.963 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.963 * [taylor]: Taking taylor expansion of (* x y) in y 2.963 * [taylor]: Taking taylor expansion of x in y 2.963 * [backup-simplify]: Simplify x into x 2.963 * [taylor]: Taking taylor expansion of y in y 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* x 0) into 0 2.963 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.963 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (* 1 1) into 1 2.964 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.964 * [taylor]: Taking taylor expansion of y in x 2.964 * [backup-simplify]: Simplify y into y 2.964 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.964 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.964 * [taylor]: Taking taylor expansion of 2 in x 2.964 * [backup-simplify]: Simplify 2 into 2 2.964 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.964 * [taylor]: Taking taylor expansion of (* x y) in x 2.964 * [taylor]: Taking taylor expansion of x in x 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [taylor]: Taking taylor expansion of y in x 2.964 * [backup-simplify]: Simplify y into y 2.964 * [backup-simplify]: Simplify (* 0 y) into 0 2.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.964 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.965 * [backup-simplify]: Simplify (/ 1 1) into 1 2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.965 * [taylor]: Taking taylor expansion of y in x 2.965 * [backup-simplify]: Simplify y into y 2.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.965 * [taylor]: Taking taylor expansion of 2 in x 2.965 * [backup-simplify]: Simplify 2 into 2 2.965 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.965 * [taylor]: Taking taylor expansion of (* x y) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of y in x 2.966 * [backup-simplify]: Simplify y into y 2.966 * [backup-simplify]: Simplify (* 0 y) into 0 2.966 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.966 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.966 * [taylor]: Taking taylor expansion of 1 in y 2.966 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.967 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.967 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.967 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.967 * [taylor]: Taking taylor expansion of 2 in y 2.967 * [backup-simplify]: Simplify 2 into 2 2.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.967 * [taylor]: Taking taylor expansion of y in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.970 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.970 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.970 * [taylor]: Taking taylor expansion of y in y 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* 2 1) into 2 2.971 * [backup-simplify]: Simplify 2 into 2 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [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)))) 2.971 * [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))))) 2.971 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.971 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.971 * [taylor]: Taking taylor expansion of x in y 2.971 * [backup-simplify]: Simplify x into x 2.971 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.972 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.972 * [taylor]: Taking taylor expansion of y in y 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.972 * [taylor]: Taking taylor expansion of 2 in y 2.972 * [backup-simplify]: Simplify 2 into 2 2.972 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.972 * [taylor]: Taking taylor expansion of (* x y) in y 2.972 * [taylor]: Taking taylor expansion of x in y 2.972 * [backup-simplify]: Simplify x into x 2.972 * [taylor]: Taking taylor expansion of y in y 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* x 0) into 0 2.973 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.973 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.973 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.973 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.973 * [taylor]: Taking taylor expansion of 2 in x 2.973 * [backup-simplify]: Simplify 2 into 2 2.974 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.974 * [taylor]: Taking taylor expansion of (* x y) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [taylor]: Taking taylor expansion of y in x 2.974 * [backup-simplify]: Simplify y into y 2.974 * [backup-simplify]: Simplify (* 0 y) into 0 2.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.975 * [taylor]: Taking taylor expansion of 2 in x 2.975 * [backup-simplify]: Simplify 2 into 2 2.975 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.975 * [taylor]: Taking taylor expansion of (* x y) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* 0 y) into 0 2.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [taylor]: Taking taylor expansion of 1 in y 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.976 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.977 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.977 * [taylor]: Taking taylor expansion of 2 in y 2.977 * [backup-simplify]: Simplify 2 into 2 2.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.977 * [taylor]: Taking taylor expansion of y in y 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.983 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.984 * [taylor]: Taking taylor expansion of y in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* 2 1) into 2 2.985 * [backup-simplify]: Simplify 2 into 2 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [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)))) 2.986 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.986 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 2.986 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 2.986 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 2.986 * [taylor]: Taking taylor expansion of y in y 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (+ x y) in y 2.986 * [taylor]: Taking taylor expansion of x in y 2.986 * [backup-simplify]: Simplify x into x 2.986 * [taylor]: Taking taylor expansion of y in y 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of (+ x y) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of (+ x y) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [backup-simplify]: Simplify (+ 0 y) into y 2.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.987 * [taylor]: Taking taylor expansion of y in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (+ 1 0) into 1 2.987 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 2.987 * [taylor]: Taking taylor expansion of y in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 2.988 * [taylor]: Taking taylor expansion of 0 in y 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (* 1 1) into 1 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.990 * [taylor]: Taking taylor expansion of 0 in y 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.991 * [taylor]: Taking taylor expansion of 0 in y 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 2.991 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.991 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.991 * [taylor]: Taking taylor expansion of y in y 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.992 * [taylor]: Taking taylor expansion of x in y 2.992 * [backup-simplify]: Simplify x into x 2.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.992 * [taylor]: Taking taylor expansion of y in y 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (+ 1 0) into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.992 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.992 * [taylor]: Taking taylor expansion of y in x 2.992 * [backup-simplify]: Simplify y into y 2.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of y in x 2.993 * [backup-simplify]: Simplify y into y 2.993 * [backup-simplify]: Simplify (+ 0 1) into 1 2.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.993 * [taylor]: Taking taylor expansion of y in x 2.993 * [backup-simplify]: Simplify y into y 2.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [backup-simplify]: Simplify (+ 0 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.994 * [taylor]: Taking taylor expansion of y in y 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.995 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.995 * [taylor]: Taking taylor expansion of y in y 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (* 1 1) into 1 2.995 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.997 * [taylor]: Taking taylor expansion of 0 in y 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.999 * [taylor]: Taking taylor expansion of 0 in y 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.002 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.002 * [taylor]: Taking taylor expansion of 0 in y 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 3.004 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.004 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.004 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.004 * [taylor]: Taking taylor expansion of y in y 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (/ 1 1) into 1 3.004 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.004 * [taylor]: Taking taylor expansion of x in y 3.004 * [backup-simplify]: Simplify x into x 3.004 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.004 * [taylor]: Taking taylor expansion of y in y 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (+ 1 0) into 1 3.005 * [backup-simplify]: Simplify (/ 1 1) into 1 3.005 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.005 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.005 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.005 * [taylor]: Taking taylor expansion of y in x 3.005 * [backup-simplify]: Simplify y into y 3.005 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.005 * [taylor]: Taking taylor expansion of x in x 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (/ 1 1) into 1 3.005 * [taylor]: Taking taylor expansion of y in x 3.005 * [backup-simplify]: Simplify y into y 3.006 * [backup-simplify]: Simplify (+ 0 1) into 1 3.006 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.006 * [taylor]: Taking taylor expansion of y in x 3.006 * [backup-simplify]: Simplify y into y 3.006 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.006 * [taylor]: Taking taylor expansion of x in x 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [taylor]: Taking taylor expansion of y in x 3.006 * [backup-simplify]: Simplify y into y 3.006 * [backup-simplify]: Simplify (+ 0 1) into 1 3.006 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.006 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.006 * [taylor]: Taking taylor expansion of y in y 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.007 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.007 * [taylor]: Taking taylor expansion of y in y 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.009 * [taylor]: Taking taylor expansion of 0 in y 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.011 * [taylor]: Taking taylor expansion of 0 in y 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.014 * [taylor]: Taking taylor expansion of 0 in y 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 3.016 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.016 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 3.016 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 3.016 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 3.016 * [taylor]: Taking taylor expansion of x in y 3.016 * [backup-simplify]: Simplify x into x 3.016 * [taylor]: Taking taylor expansion of (+ x y) in y 3.016 * [taylor]: Taking taylor expansion of x in y 3.016 * [backup-simplify]: Simplify x into x 3.016 * [taylor]: Taking taylor expansion of y in y 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of (+ x y) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [backup-simplify]: Simplify y into y 3.016 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of (+ x y) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [backup-simplify]: Simplify y into y 3.016 * [backup-simplify]: Simplify (+ 0 y) into y 3.016 * [backup-simplify]: Simplify (* 0 y) into 0 3.016 * [taylor]: Taking taylor expansion of 0 in y 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 3.017 * [taylor]: Taking taylor expansion of y in y 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 3.018 * [taylor]: Taking taylor expansion of 1 in y 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 3.019 * [taylor]: Taking taylor expansion of 0 in y 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.020 * [taylor]: Taking taylor expansion of 0 in y 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 3.021 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.021 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.021 * [taylor]: Taking taylor expansion of y in y 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.021 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.021 * [taylor]: Taking taylor expansion of x in y 3.021 * [backup-simplify]: Simplify x into x 3.021 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.021 * [taylor]: Taking taylor expansion of x in y 3.021 * [backup-simplify]: Simplify x into x 3.021 * [backup-simplify]: Simplify (+ 1 0) into 1 3.021 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.021 * [taylor]: Taking taylor expansion of y in x 3.021 * [backup-simplify]: Simplify y into y 3.021 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.021 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [taylor]: Taking taylor expansion of x in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (+ 0 1) into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.022 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.022 * [taylor]: Taking taylor expansion of y in x 3.022 * [backup-simplify]: Simplify y into y 3.022 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.022 * [taylor]: Taking taylor expansion of x in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [taylor]: Taking taylor expansion of x in x 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (+ 0 1) into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [taylor]: Taking taylor expansion of 1 in y 3.023 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.024 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.024 * [taylor]: Taking taylor expansion of y in y 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.026 * [taylor]: Taking taylor expansion of 0 in y 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [taylor]: Taking taylor expansion of 0 in y 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [taylor]: Taking taylor expansion of 0 in y 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 3.033 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.033 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.033 * [taylor]: Taking taylor expansion of y in y 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.034 * [taylor]: Taking taylor expansion of x in y 3.034 * [backup-simplify]: Simplify x into x 3.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.034 * [taylor]: Taking taylor expansion of x in y 3.034 * [backup-simplify]: Simplify x into x 3.034 * [backup-simplify]: Simplify (+ 1 0) into 1 3.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.034 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.034 * [taylor]: Taking taylor expansion of y in x 3.034 * [backup-simplify]: Simplify y into y 3.034 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [taylor]: Taking taylor expansion of x in x 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (+ 0 1) into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.035 * [taylor]: Taking taylor expansion of y in x 3.035 * [backup-simplify]: Simplify y into y 3.035 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.035 * [taylor]: Taking taylor expansion of x in x 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [taylor]: Taking taylor expansion of x in x 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (+ 0 1) into 1 3.036 * [backup-simplify]: Simplify (/ 1 1) into 1 3.036 * [taylor]: Taking taylor expansion of 1 in y 3.036 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.037 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.037 * [taylor]: Taking taylor expansion of y in y 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.039 * [taylor]: Taking taylor expansion of 0 in y 3.039 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [taylor]: Taking taylor expansion of 0 in y 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [taylor]: Taking taylor expansion of 0 in y 3.044 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 3.045 * * * [progress]: simplifying candidates 3.046 * [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) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (+ (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) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 3.047 * * [simplify]: Extracting # 0 : cost 0 3.047 * * [simplify]: Extracting # 1 : cost 0 3.047 * * [simplify]: Extracting # 2 : cost 0 3.047 * * [simplify]: Extracting # 3 : cost 0 3.048 * * [simplify]: Extracting # 4 : cost 0 3.048 * * [simplify]: Extracting # 5 : cost 0 3.048 * * [simplify]: Extracting # 6 : cost 0 3.048 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 3.073 * * [simplify]: Extracting # 0 : cost 0 3.074 * * [simplify]: Extracting # 1 : cost 0 3.074 * * [simplify]: Extracting # 2 : cost 0 3.074 * * [simplify]: Extracting # 3 : cost 0 3.075 * * [simplify]: Extracting # 4 : cost 0 3.075 * * [simplify]: Extracting # 5 : cost 0 3.075 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 3.230 * * [simplify]: Extracting # 0 : cost 0 3.232 * * [simplify]: Extracting # 1 : cost 0 3.233 * * [simplify]: Extracting # 2 : cost 0 3.234 * * [simplify]: Extracting # 3 : cost 0 3.235 * * [simplify]: Extracting # 4 : cost 0 3.237 * * [simplify]: iteration 2 : 1100 enodes (cost 636 ) 4.698 * * [simplify]: Extracting # 0 : cost 0 4.706 * * [simplify]: Extracting # 1 : cost 0 4.713 * * [simplify]: Extracting # 2 : cost 0 4.719 * * [simplify]: Extracting # 3 : cost 0 4.725 * * [simplify]: Extracting # 4 : cost 0 4.731 * * [simplify]: iteration 3 : 4972 enodes (cost 610 ) 6.607 * * [simplify]: Extracting # 0 : cost 0 6.621 * * [simplify]: Extracting # 1 : cost 0 6.628 * * [simplify]: Extracting # 2 : cost 0 6.635 * * [simplify]: Extracting # 3 : cost 0 6.641 * * [simplify]: iteration done: 5000 enodes (cost 610 ) 6.642 * [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 x) (+ x y)) (* y (* (+ x y) (- y x))))) (* (pow (+ x y) 3) (- x y)) (- (pow x 2) (pow y 2)) (+ x y) (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* x (+ 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) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 6.643 * * * [progress]: adding candidates to table 6.820 * * [progress]: iteration 3 / 4 6.820 * * * [progress]: picking best candidate 6.822 * * * * [pick]: Picked # 6.822 * * * [progress]: localizing error 6.833 * * * [progress]: generating rewritten candidates 6.833 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.862 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.898 * * * [progress]: generating series expansions 6.898 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.898 * [backup-simplify]: Simplify (+ (* y (+ (* 2 x) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 6.899 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 6.899 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 6.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.899 * [taylor]: Taking taylor expansion of x in x 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 6.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.899 * [taylor]: Taking taylor expansion of y in x 6.899 * [backup-simplify]: Simplify y into y 6.899 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.899 * [taylor]: Taking taylor expansion of 2 in x 6.899 * [backup-simplify]: Simplify 2 into 2 6.899 * [taylor]: Taking taylor expansion of (* x y) in x 6.899 * [taylor]: Taking taylor expansion of x in x 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [taylor]: Taking taylor expansion of y in x 6.899 * [backup-simplify]: Simplify y into y 6.899 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 6.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.899 * [taylor]: Taking taylor expansion of x in y 6.899 * [backup-simplify]: Simplify x into x 6.899 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 6.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.899 * [taylor]: Taking taylor expansion of y in y 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.899 * [taylor]: Taking taylor expansion of 2 in y 6.899 * [backup-simplify]: Simplify 2 into 2 6.899 * [taylor]: Taking taylor expansion of (* x y) in y 6.899 * [taylor]: Taking taylor expansion of x in y 6.899 * [backup-simplify]: Simplify x into x 6.899 * [taylor]: Taking taylor expansion of y in y 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 6.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.899 * [taylor]: Taking taylor expansion of x in y 6.899 * [backup-simplify]: Simplify x into x 6.899 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 6.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.899 * [taylor]: Taking taylor expansion of y in y 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.899 * [taylor]: Taking taylor expansion of 2 in y 6.899 * [backup-simplify]: Simplify 2 into 2 6.899 * [taylor]: Taking taylor expansion of (* x y) in y 6.899 * [taylor]: Taking taylor expansion of x in y 6.899 * [backup-simplify]: Simplify x into x 6.899 * [taylor]: Taking taylor expansion of y in y 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.900 * [backup-simplify]: Simplify (* x 0) into 0 6.900 * [backup-simplify]: Simplify (* 2 0) into 0 6.900 * [backup-simplify]: Simplify (+ 0 0) into 0 6.901 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.901 * [taylor]: Taking taylor expansion of x in x 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.901 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.901 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 6.901 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 6.901 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 6.901 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.901 * [taylor]: Taking taylor expansion of 2 in x 6.901 * [backup-simplify]: Simplify 2 into 2 6.901 * [taylor]: Taking taylor expansion of x in x 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (* 2 0) into 0 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.902 * [backup-simplify]: Simplify (* 1 1) into 1 6.903 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 6.904 * [backup-simplify]: Simplify (+ 1 0) into 1 6.904 * [backup-simplify]: Simplify (+ 0 1) into 1 6.904 * [taylor]: Taking taylor expansion of 1 in x 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.904 * [backup-simplify]: Simplify 2 into 2 6.905 * [backup-simplify]: Simplify (* 1 1) into 1 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [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)))) 6.905 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 6.905 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 6.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 6.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.905 * [taylor]: Taking taylor expansion of x in x 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (* 1 1) into 1 6.906 * [backup-simplify]: Simplify (/ 1 1) into 1 6.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 6.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.906 * [taylor]: Taking taylor expansion of y in x 6.906 * [backup-simplify]: Simplify y into y 6.906 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.906 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.906 * [taylor]: Taking taylor expansion of 2 in x 6.906 * [backup-simplify]: Simplify 2 into 2 6.906 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.906 * [taylor]: Taking taylor expansion of (* x y) in x 6.906 * [taylor]: Taking taylor expansion of x in x 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [taylor]: Taking taylor expansion of y in x 6.906 * [backup-simplify]: Simplify y into y 6.906 * [backup-simplify]: Simplify (* 0 y) into 0 6.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.906 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.907 * [taylor]: Taking taylor expansion of x in y 6.907 * [backup-simplify]: Simplify x into x 6.907 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.907 * [taylor]: Taking taylor expansion of y in y 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (* 1 1) into 1 6.907 * [backup-simplify]: Simplify (/ 1 1) into 1 6.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.907 * [taylor]: Taking taylor expansion of 2 in y 6.907 * [backup-simplify]: Simplify 2 into 2 6.907 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.907 * [taylor]: Taking taylor expansion of (* x y) in y 6.907 * [taylor]: Taking taylor expansion of x in y 6.907 * [backup-simplify]: Simplify x into x 6.907 * [taylor]: Taking taylor expansion of y in y 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (* x 0) into 0 6.908 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.908 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.908 * [taylor]: Taking taylor expansion of x in y 6.908 * [backup-simplify]: Simplify x into x 6.908 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.908 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.908 * [taylor]: Taking taylor expansion of y in y 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (* 1 1) into 1 6.909 * [backup-simplify]: Simplify (/ 1 1) into 1 6.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.909 * [taylor]: Taking taylor expansion of 2 in y 6.909 * [backup-simplify]: Simplify 2 into 2 6.909 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.909 * [taylor]: Taking taylor expansion of (* x y) in y 6.909 * [taylor]: Taking taylor expansion of x in y 6.909 * [backup-simplify]: Simplify x into x 6.909 * [taylor]: Taking taylor expansion of y in y 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.909 * [backup-simplify]: Simplify (* x 0) into 0 6.909 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.909 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.910 * [backup-simplify]: Simplify (+ 1 0) into 1 6.910 * [backup-simplify]: Simplify (+ 0 1) into 1 6.910 * [taylor]: Taking taylor expansion of 1 in x 6.910 * [backup-simplify]: Simplify 1 into 1 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.911 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.911 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 6.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.911 * [taylor]: Taking taylor expansion of 2 in x 6.911 * [backup-simplify]: Simplify 2 into 2 6.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.911 * [taylor]: Taking taylor expansion of x in x 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (/ 1 1) into 1 6.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.913 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.913 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.914 * [taylor]: Taking taylor expansion of x in x 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (* 1 1) into 1 6.914 * [backup-simplify]: Simplify (/ 1 1) into 1 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (* 2 1) into 2 6.915 * [backup-simplify]: Simplify 2 into 2 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [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)))) 6.915 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 6.915 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 6.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 6.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.915 * [taylor]: Taking taylor expansion of x in x 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.916 * [backup-simplify]: Simplify (* 1 1) into 1 6.916 * [backup-simplify]: Simplify (/ 1 1) into 1 6.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 6.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.916 * [taylor]: Taking taylor expansion of y in x 6.916 * [backup-simplify]: Simplify y into y 6.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.916 * [taylor]: Taking taylor expansion of 2 in x 6.916 * [backup-simplify]: Simplify 2 into 2 6.916 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.916 * [taylor]: Taking taylor expansion of (* x y) in x 6.916 * [taylor]: Taking taylor expansion of x in x 6.916 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify 1 into 1 6.916 * [taylor]: Taking taylor expansion of y in x 6.916 * [backup-simplify]: Simplify y into y 6.916 * [backup-simplify]: Simplify (* 0 y) into 0 6.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.917 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.917 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.917 * [taylor]: Taking taylor expansion of x in y 6.917 * [backup-simplify]: Simplify x into x 6.917 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.917 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.917 * [taylor]: Taking taylor expansion of y in y 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.917 * [backup-simplify]: Simplify (/ 1 1) into 1 6.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.918 * [taylor]: Taking taylor expansion of 2 in y 6.918 * [backup-simplify]: Simplify 2 into 2 6.918 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.918 * [taylor]: Taking taylor expansion of (* x y) in y 6.918 * [taylor]: Taking taylor expansion of x in y 6.918 * [backup-simplify]: Simplify x into x 6.918 * [taylor]: Taking taylor expansion of y in y 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.918 * [backup-simplify]: Simplify (* x 0) into 0 6.918 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 6.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.918 * [taylor]: Taking taylor expansion of x in y 6.918 * [backup-simplify]: Simplify x into x 6.918 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.918 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 6.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.918 * [taylor]: Taking taylor expansion of y in y 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify (* 1 1) into 1 6.919 * [backup-simplify]: Simplify (/ 1 1) into 1 6.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.919 * [taylor]: Taking taylor expansion of 2 in y 6.919 * [backup-simplify]: Simplify 2 into 2 6.919 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.919 * [taylor]: Taking taylor expansion of (* x y) in y 6.919 * [taylor]: Taking taylor expansion of x in y 6.919 * [backup-simplify]: Simplify x into x 6.919 * [taylor]: Taking taylor expansion of y in y 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify (* x 0) into 0 6.919 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.920 * [backup-simplify]: Simplify (+ 1 0) into 1 6.920 * [backup-simplify]: Simplify (+ 0 1) into 1 6.920 * [taylor]: Taking taylor expansion of 1 in x 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.921 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.921 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.921 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 6.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.921 * [taylor]: Taking taylor expansion of 2 in x 6.921 * [backup-simplify]: Simplify 2 into 2 6.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.921 * [taylor]: Taking taylor expansion of x in x 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 6.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.924 * [taylor]: Taking taylor expansion of x in x 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [backup-simplify]: Simplify (* 1 1) into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (* 2 1) into 2 6.925 * [backup-simplify]: Simplify 2 into 2 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [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)))) 6.925 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.925 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 6.925 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 6.925 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 6.925 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 6.925 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.925 * [taylor]: Taking taylor expansion of 2 in x 6.925 * [backup-simplify]: Simplify 2 into 2 6.925 * [taylor]: Taking taylor expansion of x in x 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [taylor]: Taking taylor expansion of y in x 6.925 * [backup-simplify]: Simplify y into y 6.925 * [taylor]: Taking taylor expansion of y in x 6.925 * [backup-simplify]: Simplify y into y 6.925 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.925 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.925 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.925 * [taylor]: Taking taylor expansion of 2 in y 6.925 * [backup-simplify]: Simplify 2 into 2 6.925 * [taylor]: Taking taylor expansion of x in y 6.926 * [backup-simplify]: Simplify x into x 6.926 * [taylor]: Taking taylor expansion of y in y 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [taylor]: Taking taylor expansion of y in y 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.926 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.926 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.926 * [taylor]: Taking taylor expansion of 2 in y 6.926 * [backup-simplify]: Simplify 2 into 2 6.926 * [taylor]: Taking taylor expansion of x in y 6.926 * [backup-simplify]: Simplify x into x 6.926 * [taylor]: Taking taylor expansion of y in y 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [taylor]: Taking taylor expansion of y in y 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 6.926 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 6.926 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 6.926 * [taylor]: Taking taylor expansion of 0 in x 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 6.927 * [backup-simplify]: Simplify (+ 0 1) into 1 6.927 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 6.927 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.927 * [taylor]: Taking taylor expansion of 2 in x 6.927 * [backup-simplify]: Simplify 2 into 2 6.927 * [taylor]: Taking taylor expansion of x in x 6.927 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify 1 into 1 6.927 * [backup-simplify]: Simplify (* 2 0) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 6.928 * [backup-simplify]: Simplify (+ 0 0) into 0 6.929 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 6.929 * [taylor]: Taking taylor expansion of 1 in x 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.929 * [backup-simplify]: Simplify 2 into 2 6.929 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.930 * [backup-simplify]: Simplify (+ 0 0) into 0 6.931 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.931 * [taylor]: Taking taylor expansion of 0 in x 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.932 * [backup-simplify]: Simplify (+ 0 0) into 0 6.933 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.933 * [taylor]: Taking taylor expansion of 0 in x 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 6.933 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 6.933 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 6.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 6.933 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 6.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.934 * [taylor]: Taking taylor expansion of y in x 6.934 * [backup-simplify]: Simplify y into y 6.934 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.934 * [taylor]: Taking taylor expansion of 2 in x 6.934 * [backup-simplify]: Simplify 2 into 2 6.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.934 * [taylor]: Taking taylor expansion of x in x 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 1 into 1 6.934 * [backup-simplify]: Simplify (/ 1 1) into 1 6.934 * [taylor]: Taking taylor expansion of y in x 6.934 * [backup-simplify]: Simplify y into y 6.934 * [backup-simplify]: Simplify (* 2 1) into 2 6.934 * [backup-simplify]: Simplify (+ 0 2) into 2 6.935 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.935 * [taylor]: Taking taylor expansion of y in y 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (/ 1 1) into 1 6.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.935 * [taylor]: Taking taylor expansion of 2 in y 6.935 * [backup-simplify]: Simplify 2 into 2 6.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.935 * [taylor]: Taking taylor expansion of x in y 6.935 * [backup-simplify]: Simplify x into x 6.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.935 * [taylor]: Taking taylor expansion of y in y 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (+ 1 0) into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.936 * [taylor]: Taking taylor expansion of y in y 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.936 * [taylor]: Taking taylor expansion of 2 in y 6.936 * [backup-simplify]: Simplify 2 into 2 6.936 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.936 * [taylor]: Taking taylor expansion of x in y 6.936 * [backup-simplify]: Simplify x into x 6.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.936 * [taylor]: Taking taylor expansion of y in y 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (+ 1 0) into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.937 * [taylor]: Taking taylor expansion of 1 in x 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.937 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.938 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 6.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.938 * [taylor]: Taking taylor expansion of 2 in x 6.938 * [backup-simplify]: Simplify 2 into 2 6.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.938 * [taylor]: Taking taylor expansion of x in x 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 1 into 1 6.938 * [backup-simplify]: Simplify (/ 1 1) into 1 6.938 * [backup-simplify]: Simplify (* 2 1) into 2 6.938 * [backup-simplify]: Simplify 2 into 2 6.938 * [backup-simplify]: Simplify 1 into 1 6.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.939 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 6.940 * [taylor]: Taking taylor expansion of 0 in x 6.940 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.942 * [backup-simplify]: Simplify (+ 0 0) into 0 6.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.946 * [taylor]: Taking taylor expansion of 0 in x 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.949 * [backup-simplify]: Simplify (+ 0 0) into 0 6.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.950 * [taylor]: Taking taylor expansion of 0 in x 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 6.951 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 6.951 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 6.951 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 6.951 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 6.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.951 * [taylor]: Taking taylor expansion of y in x 6.951 * [backup-simplify]: Simplify y into y 6.951 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.951 * [taylor]: Taking taylor expansion of 2 in x 6.951 * [backup-simplify]: Simplify 2 into 2 6.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.951 * [taylor]: Taking taylor expansion of x in x 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.951 * [taylor]: Taking taylor expansion of y in x 6.951 * [backup-simplify]: Simplify y into y 6.951 * [backup-simplify]: Simplify (* 2 1) into 2 6.952 * [backup-simplify]: Simplify (+ 0 2) into 2 6.952 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.952 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.952 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.952 * [taylor]: Taking taylor expansion of y in y 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (/ 1 1) into 1 6.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.952 * [taylor]: Taking taylor expansion of 2 in y 6.952 * [backup-simplify]: Simplify 2 into 2 6.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.952 * [taylor]: Taking taylor expansion of x in y 6.952 * [backup-simplify]: Simplify x into x 6.952 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.952 * [taylor]: Taking taylor expansion of y in y 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (+ 1 0) into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 6.953 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 6.953 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.953 * [taylor]: Taking taylor expansion of y in y 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 6.953 * [taylor]: Taking taylor expansion of 2 in y 6.953 * [backup-simplify]: Simplify 2 into 2 6.953 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.953 * [taylor]: Taking taylor expansion of x in y 6.953 * [backup-simplify]: Simplify x into x 6.953 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.953 * [taylor]: Taking taylor expansion of y in y 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.954 * [backup-simplify]: Simplify (+ 1 0) into 1 6.954 * [backup-simplify]: Simplify (/ 1 1) into 1 6.954 * [taylor]: Taking taylor expansion of 1 in x 6.954 * [backup-simplify]: Simplify 1 into 1 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 6.954 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 6.955 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 6.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.955 * [taylor]: Taking taylor expansion of 2 in x 6.955 * [backup-simplify]: Simplify 2 into 2 6.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.955 * [taylor]: Taking taylor expansion of x in x 6.955 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify 1 into 1 6.955 * [backup-simplify]: Simplify (/ 1 1) into 1 6.955 * [backup-simplify]: Simplify (* 2 1) into 2 6.955 * [backup-simplify]: Simplify 2 into 2 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 6.957 * [taylor]: Taking taylor expansion of 0 in x 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.958 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.961 * [taylor]: Taking taylor expansion of 0 in x 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.964 * [backup-simplify]: Simplify (+ 0 0) into 0 6.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.965 * [taylor]: Taking taylor expansion of 0 in x 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 6.965 * * * [progress]: simplifying candidates 6.966 * [simplify]: Simplifying: (* (exp (* y (+ (* 2 x) y))) (exp (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (* (* (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x))) (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* x x)))) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* x x))) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (+ (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))) 6.967 * * [simplify]: Extracting # 0 : cost 0 6.967 * * [simplify]: Extracting # 1 : cost 0 6.967 * * [simplify]: Extracting # 2 : cost 0 6.967 * * [simplify]: Extracting # 3 : cost 0 6.967 * * [simplify]: Extracting # 4 : cost 0 6.967 * * [simplify]: Extracting # 5 : cost 0 6.967 * * [simplify]: Extracting # 6 : cost 0 6.967 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 6.987 * * [simplify]: Extracting # 0 : cost 0 6.987 * * [simplify]: Extracting # 1 : cost 0 6.987 * * [simplify]: Extracting # 2 : cost 0 6.987 * * [simplify]: Extracting # 3 : cost 0 6.988 * * [simplify]: Extracting # 4 : cost 0 6.988 * * [simplify]: iteration 1 : 216 enodes (cost 485 ) 7.089 * * [simplify]: Extracting # 0 : cost 0 7.090 * * [simplify]: Extracting # 1 : cost 0 7.090 * * [simplify]: Extracting # 2 : cost 0 7.091 * * [simplify]: Extracting # 3 : cost 0 7.092 * * [simplify]: Extracting # 4 : cost 0 7.093 * * [simplify]: iteration 2 : 736 enodes (cost 445 ) 7.853 * * [simplify]: Extracting # 0 : cost 0 7.859 * * [simplify]: Extracting # 1 : cost 0 7.863 * * [simplify]: Extracting # 2 : cost 0 7.867 * * [simplify]: Extracting # 3 : cost 0 7.871 * * [simplify]: Extracting # 4 : cost 0 7.878 * * [simplify]: iteration 3 : 3387 enodes (cost 437 ) 9.192 * * [simplify]: Extracting # 0 : cost 0 9.198 * * [simplify]: Extracting # 1 : cost 0 9.207 * * [simplify]: Extracting # 2 : cost 0 9.214 * * [simplify]: Extracting # 3 : cost 0 9.229 * * [simplify]: Extracting # 4 : cost 0 9.237 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 9.237 * [simplify]: Simplified to: (exp (+ (* y (+ (* 2 x) y)) (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (pow (+ (* y (+ (* 2 x) y)) (* x x)) 3) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow x 6)) (+ (* (* y (+ (* 2 x) y)) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (pow x 4)) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* y (+ (* 2 x) y)) (log (* y (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* 2 (* x y)) (* y y) (* 2 (* x y)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* (- (* 4 (* x x)) (* y y)) y) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) 9.237 * * * [progress]: adding candidates to table 9.344 * [progress]: [Phase 3 of 3] Extracting. 9.344 * * [regime]: Finding splitpoints for: (# # #) 9.345 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 9.345 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 9.364 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # #) 9.386 * * * * [regimes]: Trying to branch on y from (# # #) 9.402 * * * * [regimes]: Trying to branch on x from (# # #) 9.417 * * * [regime]: Found split indices: #