101.639 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: Extracting # 3 : cost 0 0.023 * * [simplify]: Extracting # 4 : cost 0 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.120 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.120 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.121 * * * * [pick]: Picked # 0.122 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.165 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.166 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.166 * [taylor]: Taking taylor expansion of (+ x y) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ x 0) into x 0.166 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.166 * [taylor]: Taking taylor expansion of (+ x y) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (+ 0 y) into y 0.166 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.166 * [taylor]: Taking taylor expansion of (+ x y) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (+ 0 y) into y 0.166 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.167 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.167 * [taylor]: Taking taylor expansion of 2 in y 0.167 * [backup-simplify]: Simplify 2 into 2 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 (* 2 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.168 * [backup-simplify]: Simplify 2 into 2 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [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)))) 0.169 * [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) 0.170 * [backup-simplify]: Simplify (+ 1 0) 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 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.173 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [backup-simplify]: Simplify 2 into 2 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* 2 1) into 2 0.179 * [backup-simplify]: Simplify 2 into 2 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [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)))) 0.180 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.180 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [backup-simplify]: Simplify x into x 0.181 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (+ 0 1) into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.185 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.185 * [taylor]: Taking taylor expansion of 2 in y 0.185 * [backup-simplify]: Simplify 2 into 2 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 2 1) into 2 0.189 * [backup-simplify]: Simplify 2 into 2 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [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)))) 0.190 * * * [progress]: simplifying candidates 0.191 * [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)))) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.193 * * [simplify]: Extracting # 3 : cost 0 0.193 * * [simplify]: Extracting # 4 : cost 0 0.193 * * [simplify]: Extracting # 5 : cost 0 0.193 * * [simplify]: Extracting # 6 : cost 0 0.194 * * [simplify]: Extracting # 7 : cost 0 0.194 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.225 * * [simplify]: Extracting # 2 : cost 0 0.225 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.226 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.346 * * [simplify]: Extracting # 0 : cost 0 0.348 * * [simplify]: Extracting # 1 : cost 0 0.349 * * [simplify]: Extracting # 2 : cost 0 0.351 * * [simplify]: Extracting # 3 : cost 0 0.353 * * [simplify]: Extracting # 4 : cost 0 0.354 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.446 * * [simplify]: Extracting # 0 : cost 0 1.456 * * [simplify]: Extracting # 1 : cost 0 1.462 * * [simplify]: Extracting # 2 : cost 0 1.473 * * [simplify]: Extracting # 3 : cost 0 1.480 * * [simplify]: Extracting # 4 : cost 0 1.486 * * [simplify]: Extracting # 5 : cost 0 1.493 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 3.156 * * [simplify]: Extracting # 0 : cost 0 3.169 * * [simplify]: Extracting # 1 : cost 0 3.180 * * [simplify]: Extracting # 2 : cost 0 3.190 * * [simplify]: Extracting # 3 : cost 0 3.200 * * [simplify]: Extracting # 4 : cost 0 3.211 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 3.211 * [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)) 3.211 * * * [progress]: adding candidates to table 3.289 * * [progress]: iteration 2 / 4 3.289 * * * [progress]: picking best candidate 3.291 * * * * [pick]: Picked # 3.291 * * * [progress]: localizing error 3.299 * * * [progress]: generating rewritten candidates 3.299 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.348 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.390 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.423 * * * [progress]: generating series expansions 3.424 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.424 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 3.424 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 3.424 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 3.424 * [taylor]: Taking taylor expansion of y in y 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (+ x y) in y 3.424 * [taylor]: Taking taylor expansion of x in y 3.424 * [backup-simplify]: Simplify x into x 3.424 * [taylor]: Taking taylor expansion of y in y 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 3.424 * [taylor]: Taking taylor expansion of y in x 3.424 * [backup-simplify]: Simplify y into y 3.424 * [taylor]: Taking taylor expansion of (+ x y) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of y in x 3.424 * [backup-simplify]: Simplify y into y 3.424 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 3.424 * [taylor]: Taking taylor expansion of y in x 3.424 * [backup-simplify]: Simplify y into y 3.424 * [taylor]: Taking taylor expansion of (+ x y) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of y in x 3.424 * [backup-simplify]: Simplify y into y 3.425 * [backup-simplify]: Simplify (+ 0 y) into y 3.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.425 * [taylor]: Taking taylor expansion of y in y 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (+ 1 0) into 1 3.426 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 3.426 * [taylor]: Taking taylor expansion of y in y 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.427 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 3.427 * [taylor]: Taking taylor expansion of 0 in y 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (* 1 1) into 1 3.427 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 3.429 * [taylor]: Taking taylor expansion of 0 in y 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.431 * [taylor]: Taking taylor expansion of 0 in y 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 3.432 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.432 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.432 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.432 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.432 * [taylor]: Taking taylor expansion of y in y 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.432 * [taylor]: Taking taylor expansion of x in y 3.432 * [backup-simplify]: Simplify x into x 3.432 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.432 * [taylor]: Taking taylor expansion of y in y 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (+ 1 0) into 1 3.433 * [backup-simplify]: Simplify (/ 1 1) into 1 3.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.433 * [taylor]: Taking taylor expansion of y in x 3.434 * [backup-simplify]: Simplify y into y 3.434 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.434 * [taylor]: Taking taylor expansion of x in x 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (/ 1 1) into 1 3.434 * [taylor]: Taking taylor expansion of y in x 3.434 * [backup-simplify]: Simplify y into y 3.434 * [backup-simplify]: Simplify (+ 0 1) into 1 3.435 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.435 * [taylor]: Taking taylor expansion of y in x 3.435 * [backup-simplify]: Simplify y into y 3.435 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.435 * [taylor]: Taking taylor expansion of x in x 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (/ 1 1) into 1 3.435 * [taylor]: Taking taylor expansion of y in x 3.435 * [backup-simplify]: Simplify y into y 3.435 * [backup-simplify]: Simplify (+ 0 1) into 1 3.435 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.436 * [taylor]: Taking taylor expansion of y in y 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.437 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.437 * [taylor]: Taking taylor expansion of y in y 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.438 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.438 * [taylor]: Taking taylor expansion of 0 in y 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.441 * [taylor]: Taking taylor expansion of 0 in y 3.441 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.447 * [taylor]: Taking taylor expansion of 0 in y 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 3.449 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.449 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.449 * [taylor]: Taking taylor expansion of y in y 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.449 * [taylor]: Taking taylor expansion of x in y 3.449 * [backup-simplify]: Simplify x into x 3.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.450 * [taylor]: Taking taylor expansion of y in y 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (+ 1 0) into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.450 * [taylor]: Taking taylor expansion of y in x 3.450 * [backup-simplify]: Simplify y into y 3.450 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [backup-simplify]: Simplify (+ 0 1) into 1 3.451 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.452 * [backup-simplify]: Simplify (+ 0 1) into 1 3.452 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.452 * [taylor]: Taking taylor expansion of y in y 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.453 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.453 * [taylor]: Taking taylor expansion of y in y 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (* 1 1) into 1 3.453 * [backup-simplify]: Simplify (/ 1 1) into 1 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.455 * [taylor]: Taking taylor expansion of 0 in y 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.457 * [taylor]: Taking taylor expansion of 0 in y 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.461 * [taylor]: Taking taylor expansion of 0 in y 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 3.462 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.462 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 3.462 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 3.462 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 3.462 * [taylor]: Taking taylor expansion of x in y 3.463 * [backup-simplify]: Simplify x into x 3.463 * [taylor]: Taking taylor expansion of (+ x y) in y 3.463 * [taylor]: Taking taylor expansion of x in y 3.463 * [backup-simplify]: Simplify x into x 3.463 * [taylor]: Taking taylor expansion of y in y 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (+ x y) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of y in x 3.463 * [backup-simplify]: Simplify y into y 3.463 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (+ x y) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of y in x 3.463 * [backup-simplify]: Simplify y into y 3.463 * [backup-simplify]: Simplify (+ 0 y) into y 3.463 * [backup-simplify]: Simplify (* 0 y) into 0 3.463 * [taylor]: Taking taylor expansion of 0 in y 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ 1 0) into 1 3.464 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 3.464 * [taylor]: Taking taylor expansion of y in y 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 3.465 * [taylor]: Taking taylor expansion of 1 in y 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 3.466 * [taylor]: Taking taylor expansion of 0 in y 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.467 * [taylor]: Taking taylor expansion of 0 in y 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 3.468 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.468 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.468 * [taylor]: Taking taylor expansion of y in y 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (/ 1 1) into 1 3.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.468 * [taylor]: Taking taylor expansion of x in y 3.468 * [backup-simplify]: Simplify x into x 3.468 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.468 * [taylor]: Taking taylor expansion of x in y 3.468 * [backup-simplify]: Simplify x into x 3.468 * [backup-simplify]: Simplify (+ 1 0) into 1 3.468 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.468 * [taylor]: Taking taylor expansion of y in x 3.468 * [backup-simplify]: Simplify y into y 3.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (+ 0 1) into 1 3.470 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.470 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.470 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.470 * [taylor]: Taking taylor expansion of y in x 3.470 * [backup-simplify]: Simplify y into y 3.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.470 * [taylor]: Taking taylor expansion of x in x 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [taylor]: Taking taylor expansion of x in x 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (+ 0 1) into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.471 * [taylor]: Taking taylor expansion of 1 in y 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.472 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.472 * [taylor]: Taking taylor expansion of y in y 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.474 * [taylor]: Taking taylor expansion of 0 in y 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [taylor]: Taking taylor expansion of 0 in y 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ 0 0) into 0 3.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.480 * [taylor]: Taking taylor expansion of 0 in y 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 3.480 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.480 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.480 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.480 * [taylor]: Taking taylor expansion of y in y 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.480 * [taylor]: Taking taylor expansion of x in y 3.480 * [backup-simplify]: Simplify x into x 3.481 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.481 * [taylor]: Taking taylor expansion of x in y 3.481 * [backup-simplify]: Simplify x into x 3.481 * [backup-simplify]: Simplify (+ 1 0) into 1 3.481 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.481 * [taylor]: Taking taylor expansion of y in x 3.481 * [backup-simplify]: Simplify y into y 3.481 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (/ 1 1) into 1 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.482 * [backup-simplify]: Simplify (+ 0 1) into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.482 * [taylor]: Taking taylor expansion of y in x 3.482 * [backup-simplify]: Simplify y into y 3.482 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.482 * [taylor]: Taking taylor expansion of x in x 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (+ 0 1) into 1 3.483 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [taylor]: Taking taylor expansion of 1 in y 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.485 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.485 * [taylor]: Taking taylor expansion of y in y 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (/ 1 1) into 1 3.485 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.488 * [taylor]: Taking taylor expansion of 0 in y 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.492 * [taylor]: Taking taylor expansion of 0 in y 3.492 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.496 * [taylor]: Taking taylor expansion of 0 in y 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 3.497 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.497 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.497 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 3.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.497 * [taylor]: Taking taylor expansion of x in y 3.497 * [backup-simplify]: Simplify x into x 3.497 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.497 * [taylor]: Taking taylor expansion of y in y 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.497 * [taylor]: Taking taylor expansion of 2 in y 3.497 * [backup-simplify]: Simplify 2 into 2 3.497 * [taylor]: Taking taylor expansion of (* x y) in y 3.497 * [taylor]: Taking taylor expansion of x in y 3.497 * [backup-simplify]: Simplify x into x 3.497 * [taylor]: Taking taylor expansion of y in y 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.497 * [taylor]: Taking taylor expansion of y in x 3.497 * [backup-simplify]: Simplify y into y 3.497 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.497 * [taylor]: Taking taylor expansion of 2 in x 3.497 * [backup-simplify]: Simplify 2 into 2 3.497 * [taylor]: Taking taylor expansion of (* x y) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of y in x 3.497 * [backup-simplify]: Simplify y into y 3.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.498 * [taylor]: Taking taylor expansion of y in x 3.498 * [backup-simplify]: Simplify y into y 3.498 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.498 * [taylor]: Taking taylor expansion of 2 in x 3.498 * [backup-simplify]: Simplify 2 into 2 3.498 * [taylor]: Taking taylor expansion of (* x y) in x 3.498 * [taylor]: Taking taylor expansion of x in x 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of y in x 3.498 * [backup-simplify]: Simplify y into y 3.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.498 * [backup-simplify]: Simplify (* 0 y) into 0 3.498 * [backup-simplify]: Simplify (* 2 0) into 0 3.498 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.498 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.498 * [taylor]: Taking taylor expansion of y in y 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.499 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 3.499 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.499 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.499 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.499 * [taylor]: Taking taylor expansion of 2 in y 3.499 * [backup-simplify]: Simplify 2 into 2 3.499 * [taylor]: Taking taylor expansion of y in y 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.500 * [backup-simplify]: Simplify (* 2 0) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (* 1 1) into 1 3.500 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (+ 1 0) into 1 3.502 * [taylor]: Taking taylor expansion of 1 in y 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.502 * [backup-simplify]: Simplify 2 into 2 3.502 * [backup-simplify]: Simplify (* 1 1) into 1 3.502 * [backup-simplify]: Simplify 1 into 1 3.503 * [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)))) 3.503 * [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))))) 3.503 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.503 * [taylor]: Taking taylor expansion of x in y 3.503 * [backup-simplify]: Simplify x into x 3.503 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.503 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.503 * [taylor]: Taking taylor expansion of y in y 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (* 1 1) into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.504 * [taylor]: Taking taylor expansion of 2 in y 3.504 * [backup-simplify]: Simplify 2 into 2 3.504 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.504 * [taylor]: Taking taylor expansion of (* x y) in y 3.504 * [taylor]: Taking taylor expansion of x in y 3.504 * [backup-simplify]: Simplify x into x 3.504 * [taylor]: Taking taylor expansion of y in y 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (* x 0) into 0 3.504 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.504 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.505 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.505 * [taylor]: Taking taylor expansion of y in x 3.505 * [backup-simplify]: Simplify y into y 3.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.505 * [taylor]: Taking taylor expansion of 2 in x 3.505 * [backup-simplify]: Simplify 2 into 2 3.505 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.505 * [taylor]: Taking taylor expansion of (* x y) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of y in x 3.505 * [backup-simplify]: Simplify y into y 3.506 * [backup-simplify]: Simplify (* 0 y) into 0 3.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.506 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.507 * [taylor]: Taking taylor expansion of y in x 3.507 * [backup-simplify]: Simplify y into y 3.507 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.507 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.507 * [taylor]: Taking taylor expansion of 2 in x 3.507 * [backup-simplify]: Simplify 2 into 2 3.507 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.507 * [taylor]: Taking taylor expansion of (* x y) in x 3.507 * [taylor]: Taking taylor expansion of x in x 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [taylor]: Taking taylor expansion of y in x 3.507 * [backup-simplify]: Simplify y into y 3.507 * [backup-simplify]: Simplify (* 0 y) into 0 3.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.507 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [taylor]: Taking taylor expansion of 1 in y 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.509 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.509 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.509 * [taylor]: Taking taylor expansion of 2 in y 3.509 * [backup-simplify]: Simplify 2 into 2 3.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.509 * [taylor]: Taking taylor expansion of y in y 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (/ 1 1) into 1 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.511 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.511 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.512 * [taylor]: Taking taylor expansion of y in y 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (* 1 1) into 1 3.512 * [backup-simplify]: Simplify (/ 1 1) into 1 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (* 2 1) into 2 3.512 * [backup-simplify]: Simplify 2 into 2 3.512 * [backup-simplify]: Simplify 1 into 1 3.513 * [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)))) 3.513 * [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))))) 3.513 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.513 * [taylor]: Taking taylor expansion of x in y 3.513 * [backup-simplify]: Simplify x into x 3.513 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.514 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.514 * [taylor]: Taking taylor expansion of y in y 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (* 1 1) into 1 3.514 * [backup-simplify]: Simplify (/ 1 1) into 1 3.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.514 * [taylor]: Taking taylor expansion of 2 in y 3.514 * [backup-simplify]: Simplify 2 into 2 3.514 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.514 * [taylor]: Taking taylor expansion of (* x y) in y 3.514 * [taylor]: Taking taylor expansion of x in y 3.514 * [backup-simplify]: Simplify x into x 3.514 * [taylor]: Taking taylor expansion of y in y 3.514 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (* x 0) into 0 3.515 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.515 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (* 1 1) into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.516 * [taylor]: Taking taylor expansion of y in x 3.516 * [backup-simplify]: Simplify y into y 3.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.516 * [taylor]: Taking taylor expansion of 2 in x 3.516 * [backup-simplify]: Simplify 2 into 2 3.516 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.516 * [taylor]: Taking taylor expansion of (* x y) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [taylor]: Taking taylor expansion of y in x 3.516 * [backup-simplify]: Simplify y into y 3.516 * [backup-simplify]: Simplify (* 0 y) into 0 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.516 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (* 1 1) into 1 3.517 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.517 * [taylor]: Taking taylor expansion of y in x 3.517 * [backup-simplify]: Simplify y into y 3.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.517 * [taylor]: Taking taylor expansion of 2 in x 3.517 * [backup-simplify]: Simplify 2 into 2 3.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.517 * [taylor]: Taking taylor expansion of (* x y) in x 3.517 * [taylor]: Taking taylor expansion of x in x 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [taylor]: Taking taylor expansion of y in x 3.517 * [backup-simplify]: Simplify y into y 3.518 * [backup-simplify]: Simplify (* 0 y) into 0 3.518 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.518 * [backup-simplify]: Simplify (+ 1 0) into 1 3.518 * [taylor]: Taking taylor expansion of 1 in y 3.518 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.520 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.520 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.520 * [taylor]: Taking taylor expansion of 2 in y 3.520 * [backup-simplify]: Simplify 2 into 2 3.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.520 * [taylor]: Taking taylor expansion of y in y 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.522 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.523 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.523 * [taylor]: Taking taylor expansion of y in y 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (* 1 1) into 1 3.523 * [backup-simplify]: Simplify (/ 1 1) into 1 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (* 2 1) into 2 3.524 * [backup-simplify]: Simplify 2 into 2 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [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)))) 3.524 * * * [progress]: simplifying candidates 3.525 * [simplify]: Simplifying: (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.526 * * [simplify]: Extracting # 0 : cost 0 3.526 * * [simplify]: Extracting # 1 : cost 0 3.527 * * [simplify]: Extracting # 2 : cost 0 3.527 * * [simplify]: Extracting # 3 : cost 0 3.527 * * [simplify]: Extracting # 4 : cost 0 3.527 * * [simplify]: Extracting # 5 : cost 0 3.527 * * [simplify]: Extracting # 6 : cost 0 3.527 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 3.564 * * [simplify]: Extracting # 0 : cost 0 3.564 * * [simplify]: Extracting # 1 : cost 0 3.564 * * [simplify]: Extracting # 2 : cost 0 3.565 * * [simplify]: Extracting # 3 : cost 0 3.565 * * [simplify]: Extracting # 4 : cost 0 3.565 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 3.808 * * [simplify]: Extracting # 0 : cost 0 3.811 * * [simplify]: Extracting # 1 : cost 0 3.814 * * [simplify]: Extracting # 2 : cost 0 3.816 * * [simplify]: Extracting # 3 : cost 0 3.818 * * [simplify]: Extracting # 4 : cost 0 3.820 * * [simplify]: iteration 2 : 1097 enodes (cost 636 ) 5.652 * * [simplify]: Extracting # 0 : cost 0 5.663 * * [simplify]: Extracting # 1 : cost 0 5.673 * * [simplify]: Extracting # 2 : cost 0 5.682 * * [simplify]: Extracting # 3 : cost 0 5.691 * * [simplify]: Extracting # 4 : cost 0 5.700 * * [simplify]: iteration 3 : 4979 enodes (cost 610 ) 7.923 * * [simplify]: Extracting # 0 : cost 0 7.932 * * [simplify]: Extracting # 1 : cost 0 8.236 * * [simplify]: Extracting # 2 : cost 0 8.241 * * [simplify]: Extracting # 3 : cost 0 8.251 * * [simplify]: iteration done: 5000 enodes (cost 610 ) 8.251 * [simplify]: Simplified to: (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ x y) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (+ x y))) (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (- (* x x) (* y y))) y)) (* (- x y) (+ (* y (- y x)) (* x x))) (+ (* (- x y) (* (+ (pow x 3) (pow y 3)) y)) (* (* (- (* x x) (* y y)) x) (+ (* y (- y x)) (* x x)))) (* (- x y) (+ (* y (- y x)) (* x x))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* y (* (+ x y) (- y x))) (* (+ x y) (* x x)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) x) (* (+ x y) x) (* (+ x y) x) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 8.252 * * * [progress]: adding candidates to table 8.402 * * [progress]: iteration 3 / 4 8.402 * * * [progress]: picking best candidate 8.404 * * * * [pick]: Picked # 8.404 * * * [progress]: localizing error 8.420 * * * [progress]: generating rewritten candidates 8.420 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 8.478 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 8.496 * * * [progress]: generating series expansions 8.497 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 8.497 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 8.497 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 8.497 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 8.497 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 8.497 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.497 * [taylor]: Taking taylor expansion of 2 in x 8.497 * [backup-simplify]: Simplify 2 into 2 8.497 * [taylor]: Taking taylor expansion of x in x 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [taylor]: Taking taylor expansion of y in x 8.497 * [backup-simplify]: Simplify y into y 8.497 * [taylor]: Taking taylor expansion of y in x 8.497 * [backup-simplify]: Simplify y into y 8.497 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 8.497 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 8.497 * [taylor]: Taking taylor expansion of (* 2 x) in y 8.497 * [taylor]: Taking taylor expansion of 2 in y 8.497 * [backup-simplify]: Simplify 2 into 2 8.497 * [taylor]: Taking taylor expansion of x in y 8.497 * [backup-simplify]: Simplify x into x 8.497 * [taylor]: Taking taylor expansion of y in y 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [taylor]: Taking taylor expansion of y in y 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 8.497 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 8.497 * [taylor]: Taking taylor expansion of (* 2 x) in y 8.497 * [taylor]: Taking taylor expansion of 2 in y 8.497 * [backup-simplify]: Simplify 2 into 2 8.497 * [taylor]: Taking taylor expansion of x in y 8.497 * [backup-simplify]: Simplify x into x 8.497 * [taylor]: Taking taylor expansion of y in y 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [taylor]: Taking taylor expansion of y in y 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 8.497 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 8.497 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 8.497 * [taylor]: Taking taylor expansion of 0 in x 8.497 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 8.498 * [backup-simplify]: Simplify (+ 0 1) into 1 8.499 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 8.499 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.499 * [taylor]: Taking taylor expansion of 2 in x 8.499 * [backup-simplify]: Simplify 2 into 2 8.499 * [taylor]: Taking taylor expansion of x in x 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [backup-simplify]: Simplify (* 2 0) into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 8.500 * [backup-simplify]: Simplify (+ 0 0) into 0 8.500 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 8.500 * [taylor]: Taking taylor expansion of 1 in x 8.500 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify 1 into 1 8.501 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 8.501 * [backup-simplify]: Simplify 2 into 2 8.501 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.502 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.502 * [taylor]: Taking taylor expansion of 0 in x 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.504 * [backup-simplify]: Simplify (+ 0 0) into 0 8.505 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.505 * [taylor]: Taking taylor expansion of 0 in x 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 8.505 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 8.505 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 8.505 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 8.506 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 8.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.506 * [taylor]: Taking taylor expansion of y in x 8.506 * [backup-simplify]: Simplify y into y 8.506 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.506 * [taylor]: Taking taylor expansion of 2 in x 8.506 * [backup-simplify]: Simplify 2 into 2 8.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.506 * [taylor]: Taking taylor expansion of x in x 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (/ 1 1) into 1 8.506 * [taylor]: Taking taylor expansion of y in x 8.506 * [backup-simplify]: Simplify y into y 8.506 * [backup-simplify]: Simplify (* 2 1) into 2 8.507 * [backup-simplify]: Simplify (+ 0 2) into 2 8.507 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 8.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.507 * [taylor]: Taking taylor expansion of y in y 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [backup-simplify]: Simplify (/ 1 1) into 1 8.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.507 * [taylor]: Taking taylor expansion of 2 in y 8.507 * [backup-simplify]: Simplify 2 into 2 8.507 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.507 * [taylor]: Taking taylor expansion of x in y 8.507 * [backup-simplify]: Simplify x into x 8.507 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.507 * [taylor]: Taking taylor expansion of y in y 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [backup-simplify]: Simplify (+ 1 0) into 1 8.508 * [backup-simplify]: Simplify (/ 1 1) into 1 8.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.508 * [taylor]: Taking taylor expansion of y in y 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.508 * [backup-simplify]: Simplify (/ 1 1) into 1 8.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.508 * [taylor]: Taking taylor expansion of 2 in y 8.508 * [backup-simplify]: Simplify 2 into 2 8.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.508 * [taylor]: Taking taylor expansion of x in y 8.508 * [backup-simplify]: Simplify x into x 8.508 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.508 * [taylor]: Taking taylor expansion of y in y 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (+ 1 0) into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [taylor]: Taking taylor expansion of 1 in x 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.509 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 8.510 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 8.510 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 8.510 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.510 * [taylor]: Taking taylor expansion of 2 in x 8.510 * [backup-simplify]: Simplify 2 into 2 8.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.510 * [taylor]: Taking taylor expansion of x in x 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.511 * [backup-simplify]: Simplify (* 2 1) into 2 8.511 * [backup-simplify]: Simplify 2 into 2 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.512 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 8.513 * [taylor]: Taking taylor expansion of 0 in x 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.514 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.515 * [backup-simplify]: Simplify (+ 0 0) into 0 8.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.517 * [taylor]: Taking taylor expansion of 0 in x 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.519 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.521 * [taylor]: Taking taylor expansion of 0 in x 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 8.522 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 8.522 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 8.522 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 8.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 8.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.522 * [taylor]: Taking taylor expansion of y in x 8.522 * [backup-simplify]: Simplify y into y 8.522 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.522 * [taylor]: Taking taylor expansion of 2 in x 8.522 * [backup-simplify]: Simplify 2 into 2 8.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.522 * [taylor]: Taking taylor expansion of x in x 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.522 * [backup-simplify]: Simplify (/ 1 1) into 1 8.522 * [taylor]: Taking taylor expansion of y in x 8.522 * [backup-simplify]: Simplify y into y 8.522 * [backup-simplify]: Simplify (* 2 1) into 2 8.523 * [backup-simplify]: Simplify (+ 0 2) into 2 8.523 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 8.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.523 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.523 * [taylor]: Taking taylor expansion of y in y 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.523 * [backup-simplify]: Simplify (/ 1 1) into 1 8.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.523 * [taylor]: Taking taylor expansion of 2 in y 8.523 * [backup-simplify]: Simplify 2 into 2 8.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.523 * [taylor]: Taking taylor expansion of x in y 8.523 * [backup-simplify]: Simplify x into x 8.523 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.523 * [taylor]: Taking taylor expansion of y in y 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (+ 1 0) into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.524 * [taylor]: Taking taylor expansion of y in y 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.524 * [taylor]: Taking taylor expansion of 2 in y 8.524 * [backup-simplify]: Simplify 2 into 2 8.524 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.524 * [taylor]: Taking taylor expansion of x in y 8.524 * [backup-simplify]: Simplify x into x 8.524 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.524 * [taylor]: Taking taylor expansion of y in y 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.525 * [backup-simplify]: Simplify (+ 1 0) into 1 8.525 * [backup-simplify]: Simplify (/ 1 1) into 1 8.525 * [taylor]: Taking taylor expansion of 1 in x 8.525 * [backup-simplify]: Simplify 1 into 1 8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.525 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 8.526 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 8.526 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 8.526 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.526 * [taylor]: Taking taylor expansion of 2 in x 8.526 * [backup-simplify]: Simplify 2 into 2 8.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.526 * [taylor]: Taking taylor expansion of x in x 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [backup-simplify]: Simplify (/ 1 1) into 1 8.527 * [backup-simplify]: Simplify (* 2 1) into 2 8.527 * [backup-simplify]: Simplify 2 into 2 8.527 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 8.528 * [backup-simplify]: Simplify (+ 0 0) into 0 8.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 8.529 * [taylor]: Taking taylor expansion of 0 in x 8.529 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.532 * [taylor]: Taking taylor expansion of 0 in x 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.535 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.537 * [taylor]: Taking taylor expansion of 0 in x 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 8.537 * * * * [progress]: [ 2 / 2 ] generating series at (2) 8.538 * [backup-simplify]: Simplify (+ (* x x) (* y (+ (* 2 x) y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.538 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 8.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 8.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.538 * [taylor]: Taking taylor expansion of x in y 8.538 * [backup-simplify]: Simplify x into x 8.538 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 8.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.538 * [taylor]: Taking taylor expansion of y in y 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 8.538 * [taylor]: Taking taylor expansion of 2 in y 8.538 * [backup-simplify]: Simplify 2 into 2 8.538 * [taylor]: Taking taylor expansion of (* x y) in y 8.538 * [taylor]: Taking taylor expansion of x in y 8.538 * [backup-simplify]: Simplify x into x 8.538 * [taylor]: Taking taylor expansion of y in y 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 8.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.538 * [taylor]: Taking taylor expansion of x in x 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 8.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.538 * [taylor]: Taking taylor expansion of y in x 8.538 * [backup-simplify]: Simplify y into y 8.538 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 8.538 * [taylor]: Taking taylor expansion of 2 in x 8.538 * [backup-simplify]: Simplify 2 into 2 8.538 * [taylor]: Taking taylor expansion of (* x y) in x 8.538 * [taylor]: Taking taylor expansion of x in x 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of y in x 8.538 * [backup-simplify]: Simplify y into y 8.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 8.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.538 * [taylor]: Taking taylor expansion of x in x 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 8.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.538 * [taylor]: Taking taylor expansion of y in x 8.538 * [backup-simplify]: Simplify y into y 8.538 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 8.538 * [taylor]: Taking taylor expansion of 2 in x 8.538 * [backup-simplify]: Simplify 2 into 2 8.538 * [taylor]: Taking taylor expansion of (* x y) in x 8.538 * [taylor]: Taking taylor expansion of x in x 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of y in x 8.538 * [backup-simplify]: Simplify y into y 8.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.539 * [backup-simplify]: Simplify (* 0 y) into 0 8.539 * [backup-simplify]: Simplify (* 2 0) into 0 8.539 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.539 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.539 * [taylor]: Taking taylor expansion of y in y 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 1 into 1 8.539 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.540 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 8.540 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 8.540 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 8.540 * [taylor]: Taking taylor expansion of (* 2 y) in y 8.540 * [taylor]: Taking taylor expansion of 2 in y 8.540 * [backup-simplify]: Simplify 2 into 2 8.540 * [taylor]: Taking taylor expansion of y in y 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (* 2 0) into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (* 1 1) into 1 8.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 8.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 8.542 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (+ 1 0) into 1 8.542 * [taylor]: Taking taylor expansion of 1 in y 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify 1 into 1 8.543 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 8.543 * [backup-simplify]: Simplify 2 into 2 8.543 * [backup-simplify]: Simplify (* 1 1) into 1 8.543 * [backup-simplify]: Simplify 1 into 1 8.543 * [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)))) 8.544 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 8.544 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 8.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 8.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.544 * [taylor]: Taking taylor expansion of x in y 8.544 * [backup-simplify]: Simplify x into x 8.544 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.544 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 8.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.544 * [taylor]: Taking taylor expansion of y in y 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (* 1 1) into 1 8.545 * [backup-simplify]: Simplify (/ 1 1) into 1 8.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 8.545 * [taylor]: Taking taylor expansion of 2 in y 8.545 * [backup-simplify]: Simplify 2 into 2 8.545 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 8.545 * [taylor]: Taking taylor expansion of (* x y) in y 8.545 * [taylor]: Taking taylor expansion of x in y 8.545 * [backup-simplify]: Simplify x into x 8.545 * [taylor]: Taking taylor expansion of y in y 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (* x 0) into 0 8.545 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.545 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.545 * [taylor]: Taking taylor expansion of x in x 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (* 1 1) into 1 8.546 * [backup-simplify]: Simplify (/ 1 1) into 1 8.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 8.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.546 * [taylor]: Taking taylor expansion of y in x 8.546 * [backup-simplify]: Simplify y into y 8.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.546 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 8.546 * [taylor]: Taking taylor expansion of 2 in x 8.546 * [backup-simplify]: Simplify 2 into 2 8.546 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 8.546 * [taylor]: Taking taylor expansion of (* x y) in x 8.546 * [taylor]: Taking taylor expansion of x in x 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 1 into 1 8.546 * [taylor]: Taking taylor expansion of y in x 8.546 * [backup-simplify]: Simplify y into y 8.546 * [backup-simplify]: Simplify (* 0 y) into 0 8.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.546 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 8.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.546 * [taylor]: Taking taylor expansion of x in x 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (* 1 1) into 1 8.547 * [backup-simplify]: Simplify (/ 1 1) into 1 8.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 8.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.547 * [taylor]: Taking taylor expansion of y in x 8.547 * [backup-simplify]: Simplify y into y 8.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.547 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 8.547 * [taylor]: Taking taylor expansion of 2 in x 8.547 * [backup-simplify]: Simplify 2 into 2 8.547 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 8.547 * [taylor]: Taking taylor expansion of (* x y) in x 8.547 * [taylor]: Taking taylor expansion of x in x 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of y in x 8.547 * [backup-simplify]: Simplify y into y 8.547 * [backup-simplify]: Simplify (* 0 y) into 0 8.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.548 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.548 * [backup-simplify]: Simplify (+ 1 0) into 1 8.548 * [taylor]: Taking taylor expansion of 1 in y 8.548 * [backup-simplify]: Simplify 1 into 1 8.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 8.549 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 8.549 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 8.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 8.549 * [taylor]: Taking taylor expansion of 2 in y 8.549 * [backup-simplify]: Simplify 2 into 2 8.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.549 * [taylor]: Taking taylor expansion of y in y 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (/ 1 1) into 1 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 8.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 8.552 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.552 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.552 * [taylor]: Taking taylor expansion of y in y 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (* 1 1) into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (* 2 1) into 2 8.553 * [backup-simplify]: Simplify 2 into 2 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [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)))) 8.553 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 8.553 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 8.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 8.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.554 * [taylor]: Taking taylor expansion of x in y 8.554 * [backup-simplify]: Simplify x into x 8.554 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 8.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.554 * [taylor]: Taking taylor expansion of y in y 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [backup-simplify]: Simplify (* 1 1) into 1 8.554 * [backup-simplify]: Simplify (/ 1 1) into 1 8.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 8.554 * [taylor]: Taking taylor expansion of 2 in y 8.554 * [backup-simplify]: Simplify 2 into 2 8.554 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 8.554 * [taylor]: Taking taylor expansion of (* x y) in y 8.554 * [taylor]: Taking taylor expansion of x in y 8.555 * [backup-simplify]: Simplify x into x 8.555 * [taylor]: Taking taylor expansion of y in y 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (* x 0) into 0 8.555 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.555 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 8.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.555 * [taylor]: Taking taylor expansion of x in x 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (* 1 1) into 1 8.556 * [backup-simplify]: Simplify (/ 1 1) into 1 8.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 8.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.556 * [taylor]: Taking taylor expansion of y in x 8.556 * [backup-simplify]: Simplify y into y 8.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.556 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 8.556 * [taylor]: Taking taylor expansion of 2 in x 8.556 * [backup-simplify]: Simplify 2 into 2 8.556 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 8.556 * [taylor]: Taking taylor expansion of (* x y) in x 8.556 * [taylor]: Taking taylor expansion of x in x 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [taylor]: Taking taylor expansion of y in x 8.556 * [backup-simplify]: Simplify y into y 8.556 * [backup-simplify]: Simplify (* 0 y) into 0 8.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.556 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 8.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.556 * [taylor]: Taking taylor expansion of x in x 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (* 1 1) into 1 8.557 * [backup-simplify]: Simplify (/ 1 1) into 1 8.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.557 * [taylor]: Taking taylor expansion of y in x 8.557 * [backup-simplify]: Simplify y into y 8.557 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.557 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 8.557 * [taylor]: Taking taylor expansion of 2 in x 8.557 * [backup-simplify]: Simplify 2 into 2 8.557 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 8.557 * [taylor]: Taking taylor expansion of (* x y) in x 8.557 * [taylor]: Taking taylor expansion of x in x 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [taylor]: Taking taylor expansion of y in x 8.557 * [backup-simplify]: Simplify y into y 8.557 * [backup-simplify]: Simplify (* 0 y) into 0 8.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.558 * [backup-simplify]: Simplify (+ 1 0) into 1 8.558 * [taylor]: Taking taylor expansion of 1 in y 8.558 * [backup-simplify]: Simplify 1 into 1 8.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.559 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 8.559 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 8.559 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 8.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 8.559 * [taylor]: Taking taylor expansion of 2 in y 8.559 * [backup-simplify]: Simplify 2 into 2 8.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.559 * [taylor]: Taking taylor expansion of y in y 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (/ 1 1) into 1 8.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 8.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 8.562 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.562 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.562 * [taylor]: Taking taylor expansion of y in y 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (* 1 1) into 1 8.562 * [backup-simplify]: Simplify (/ 1 1) into 1 8.562 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (* 2 1) into 2 8.563 * [backup-simplify]: Simplify 2 into 2 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [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)))) 8.563 * * * [progress]: simplifying candidates 8.564 * [simplify]: Simplifying: (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* x x)) (exp (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (* (* (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y)))) (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* y (+ (* 2 x) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (* 2 x))) (+ (* x x) (* (* 2 x) y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.565 * * [simplify]: Extracting # 0 : cost 0 8.565 * * [simplify]: Extracting # 1 : cost 0 8.565 * * [simplify]: Extracting # 2 : cost 0 8.565 * * [simplify]: Extracting # 3 : cost 0 8.565 * * [simplify]: Extracting # 4 : cost 0 8.565 * * [simplify]: Extracting # 5 : cost 0 8.565 * * [simplify]: Extracting # 6 : cost 0 8.565 * * [simplify]: Extracting # 7 : cost 0 8.565 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 8.600 * * [simplify]: Extracting # 0 : cost 0 8.601 * * [simplify]: Extracting # 1 : cost 0 8.601 * * [simplify]: Extracting # 2 : cost 0 8.601 * * [simplify]: Extracting # 3 : cost 0 8.601 * * [simplify]: Extracting # 4 : cost 0 8.602 * * [simplify]: iteration 1 : 220 enodes (cost 485 ) 8.736 * * [simplify]: Extracting # 0 : cost 0 8.738 * * [simplify]: Extracting # 1 : cost 0 8.740 * * [simplify]: Extracting # 2 : cost 0 8.747 * * [simplify]: Extracting # 3 : cost 0 8.748 * * [simplify]: Extracting # 4 : cost 0 8.750 * * [simplify]: iteration 2 : 767 enodes (cost 437 ) 9.811 * * [simplify]: Extracting # 0 : cost 0 9.820 * * [simplify]: Extracting # 1 : cost 0 9.833 * * [simplify]: Extracting # 2 : cost 0 9.839 * * [simplify]: Extracting # 3 : cost 0 9.845 * * [simplify]: Extracting # 4 : cost 0 9.851 * * [simplify]: iteration 3 : 3631 enodes (cost 437 ) 11.494 * * [simplify]: Extracting # 0 : cost 0 11.505 * * [simplify]: Extracting # 1 : cost 0 11.515 * * [simplify]: Extracting # 2 : cost 0 11.521 * * [simplify]: Extracting # 3 : cost 0 11.526 * * [simplify]: Extracting # 4 : cost 0 11.531 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 11.532 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (log (* (+ (* 2 x) y) y)) (log (* (+ (* 2 x) y) y)) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (pow (+ (pow x 2) (* y (+ (* 2 x) y))) 3) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow x 6) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* (+ (* 2 x) y) y) (- (* (+ (* 2 x) y) y) (* x x))) (pow x 4)) (- (pow x 4) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (* x (+ x (* y 2))) (* x (+ x (* y 2))) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (pow x 2) (* y (+ (* 2 x) y))) (+ (pow x 2) (* y (+ (* 2 x) y))) (+ (pow x 2) (* y (+ (* 2 x) y))) 11.532 * * * [progress]: adding candidates to table 11.614 * [progress]: [Phase 3 of 3] Extracting. 11.614 * * [regime]: Finding splitpoints for: (# #) 11.615 * * * [regime-changes]: Trying 2 branch expressions: (y x) 11.615 * * * * [regimes]: Trying to branch on y from (# #) 11.625 * * * * [regimes]: Trying to branch on x from (# #) 11.637 * * * [regime]: Found split indices: #