27.842 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [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 ) 0.027 * * [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 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: Extracting # 1 : cost 0 0.032 * * [simplify]: Extracting # 2 : cost 0 0.032 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.067 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.107 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.142 * * [simplify]: Extracting # 0 : cost 0 0.143 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.143 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.209 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.209 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.209 * [taylor]: Taking taylor expansion of (+ x y) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (+ x 0) into x 0.210 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.210 * [taylor]: Taking taylor expansion of (+ x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [backup-simplify]: Simplify (+ 0 y) into y 0.210 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.210 * [taylor]: Taking taylor expansion of (+ x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [backup-simplify]: Simplify (+ 0 y) into y 0.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.211 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.211 * [taylor]: Taking taylor expansion of 2 in y 0.211 * [backup-simplify]: Simplify 2 into 2 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 2 0) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.213 * [backup-simplify]: Simplify 2 into 2 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [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)))) 0.213 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.213 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ 0 1) into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of 1 in y 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.218 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [backup-simplify]: Simplify 2 into 2 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 2 1) into 2 0.221 * [backup-simplify]: Simplify 2 into 2 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [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)))) 0.222 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.222 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [backup-simplify]: Simplify y into y 0.223 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (+ 0 1) into 1 0.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [backup-simplify]: Simplify y into y 0.224 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ 0 1) into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.225 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.225 * [backup-simplify]: Simplify 2 into 2 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 2 1) into 2 0.228 * [backup-simplify]: Simplify 2 into 2 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [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)))) 0.229 * * * [progress]: simplifying candidates 0.229 * [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)))) 0.230 * * [simplify]: Extracting # 0 : cost 0 0.230 * * [simplify]: Extracting # 1 : cost 0 0.230 * * [simplify]: Extracting # 2 : cost 0 0.230 * * [simplify]: Extracting # 3 : cost 0 0.230 * * [simplify]: Extracting # 4 : cost 0 0.230 * * [simplify]: Extracting # 5 : cost 0 0.231 * * [simplify]: Extracting # 6 : cost 0 0.231 * * [simplify]: Extracting # 7 : cost 0 0.231 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.247 * * [simplify]: Extracting # 0 : cost 0 0.248 * * [simplify]: Extracting # 1 : cost 0 0.248 * * [simplify]: Extracting # 2 : cost 0 0.248 * * [simplify]: Extracting # 3 : cost 0 0.249 * * [simplify]: Extracting # 4 : cost 0 0.249 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.396 * * [simplify]: Extracting # 0 : cost 0 0.398 * * [simplify]: Extracting # 1 : cost 0 0.400 * * [simplify]: Extracting # 2 : cost 0 0.401 * * [simplify]: Extracting # 3 : cost 0 0.403 * * [simplify]: Extracting # 4 : cost 0 0.405 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.369 * * [simplify]: Extracting # 0 : cost 0 1.374 * * [simplify]: Extracting # 1 : cost 0 1.378 * * [simplify]: Extracting # 2 : cost 0 1.385 * * [simplify]: Extracting # 3 : cost 0 1.389 * * [simplify]: Extracting # 4 : cost 0 1.392 * * [simplify]: Extracting # 5 : cost 0 1.395 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.817 * * [simplify]: Extracting # 0 : cost 0 2.826 * * [simplify]: Extracting # 1 : cost 0 2.835 * * [simplify]: Extracting # 2 : cost 0 2.842 * * [simplify]: Extracting # 3 : cost 0 2.847 * * [simplify]: Extracting # 4 : cost 0 2.852 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.852 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (* (- x y) (- x y)) (pow (sqrt (+ x y)) 4)) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (pow (cbrt (+ x y)) (+ 4 1)) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) 2.852 * * * [progress]: adding candidates to table 2.942 * * [progress]: iteration 2 / 4 2.942 * * * [progress]: picking best candidate 2.946 * * * * [pick]: Picked # 2.946 * * * [progress]: localizing error 2.958 * * * [progress]: generating rewritten candidates 2.958 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.011 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.039 * * * [progress]: generating series expansions 3.039 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.039 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 3.039 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 3.039 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 3.039 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.039 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.039 * [taylor]: Taking taylor expansion of 2 in x 3.039 * [backup-simplify]: Simplify 2 into 2 3.039 * [taylor]: Taking taylor expansion of x in x 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [taylor]: Taking taylor expansion of y in x 3.039 * [backup-simplify]: Simplify y into y 3.040 * [taylor]: Taking taylor expansion of y in x 3.040 * [backup-simplify]: Simplify y into y 3.040 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.040 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.040 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.040 * [taylor]: Taking taylor expansion of 2 in y 3.040 * [backup-simplify]: Simplify 2 into 2 3.040 * [taylor]: Taking taylor expansion of x in y 3.040 * [backup-simplify]: Simplify x into x 3.040 * [taylor]: Taking taylor expansion of y in y 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [taylor]: Taking taylor expansion of y in y 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.040 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.040 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.040 * [taylor]: Taking taylor expansion of 2 in y 3.040 * [backup-simplify]: Simplify 2 into 2 3.040 * [taylor]: Taking taylor expansion of x in y 3.040 * [backup-simplify]: Simplify x into x 3.040 * [taylor]: Taking taylor expansion of y in y 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [taylor]: Taking taylor expansion of y in y 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.040 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.040 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 3.040 * [taylor]: Taking taylor expansion of 0 in x 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 3.042 * [backup-simplify]: Simplify (+ 0 1) into 1 3.042 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 3.042 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.042 * [taylor]: Taking taylor expansion of 2 in x 3.042 * [backup-simplify]: Simplify 2 into 2 3.042 * [taylor]: Taking taylor expansion of x in x 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (* 2 0) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 3.045 * [taylor]: Taking taylor expansion of 1 in x 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.046 * [backup-simplify]: Simplify 2 into 2 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.048 * [taylor]: Taking taylor expansion of 0 in x 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.052 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.052 * [taylor]: Taking taylor expansion of 0 in x 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 3.053 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.053 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.053 * [taylor]: Taking taylor expansion of y in x 3.053 * [backup-simplify]: Simplify y into y 3.053 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.053 * [taylor]: Taking taylor expansion of 2 in x 3.053 * [backup-simplify]: Simplify 2 into 2 3.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.053 * [taylor]: Taking taylor expansion of x in x 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [backup-simplify]: Simplify (* 2 1) into 2 3.055 * [backup-simplify]: Simplify (+ 0 2) into 2 3.055 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.055 * [taylor]: Taking taylor expansion of y in y 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (/ 1 1) into 1 3.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.055 * [taylor]: Taking taylor expansion of 2 in y 3.055 * [backup-simplify]: Simplify 2 into 2 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.055 * [taylor]: Taking taylor expansion of x in y 3.055 * [backup-simplify]: Simplify x into x 3.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.055 * [taylor]: Taking taylor expansion of y in y 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (+ 1 0) into 1 3.056 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.056 * [taylor]: Taking taylor expansion of y in y 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (/ 1 1) into 1 3.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.057 * [taylor]: Taking taylor expansion of 2 in y 3.057 * [backup-simplify]: Simplify 2 into 2 3.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.057 * [taylor]: Taking taylor expansion of x in y 3.057 * [backup-simplify]: Simplify x into x 3.057 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.057 * [taylor]: Taking taylor expansion of y in y 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (+ 1 0) into 1 3.058 * [backup-simplify]: Simplify (/ 1 1) into 1 3.058 * [taylor]: Taking taylor expansion of 1 in x 3.058 * [backup-simplify]: Simplify 1 into 1 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.059 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.060 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.060 * [taylor]: Taking taylor expansion of 2 in x 3.060 * [backup-simplify]: Simplify 2 into 2 3.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (/ 1 1) into 1 3.061 * [backup-simplify]: Simplify (* 2 1) into 2 3.061 * [backup-simplify]: Simplify 2 into 2 3.061 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.062 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.064 * [taylor]: Taking taylor expansion of 0 in x 3.064 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.070 * [taylor]: Taking taylor expansion of 0 in x 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.074 * [backup-simplify]: Simplify (+ 0 0) into 0 3.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [taylor]: Taking taylor expansion of 0 in x 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 3.077 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.077 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.077 * [taylor]: Taking taylor expansion of y in x 3.077 * [backup-simplify]: Simplify y into y 3.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.077 * [taylor]: Taking taylor expansion of 2 in x 3.078 * [backup-simplify]: Simplify 2 into 2 3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ 1 1) into 1 3.078 * [taylor]: Taking taylor expansion of y in x 3.078 * [backup-simplify]: Simplify y into y 3.078 * [backup-simplify]: Simplify (* 2 1) into 2 3.079 * [backup-simplify]: Simplify (+ 0 2) into 2 3.079 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.079 * [taylor]: Taking taylor expansion of y in y 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.079 * [taylor]: Taking taylor expansion of 2 in y 3.080 * [backup-simplify]: Simplify 2 into 2 3.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.080 * [taylor]: Taking taylor expansion of x in y 3.080 * [backup-simplify]: Simplify x into x 3.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.080 * [taylor]: Taking taylor expansion of y in y 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.081 * [taylor]: Taking taylor expansion of y in y 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.081 * [taylor]: Taking taylor expansion of 2 in y 3.081 * [backup-simplify]: Simplify 2 into 2 3.081 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.081 * [taylor]: Taking taylor expansion of x in y 3.081 * [backup-simplify]: Simplify x into x 3.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.081 * [taylor]: Taking taylor expansion of y in y 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (+ 1 0) into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of 1 in x 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.083 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.084 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.084 * [taylor]: Taking taylor expansion of 2 in x 3.084 * [backup-simplify]: Simplify 2 into 2 3.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [backup-simplify]: Simplify (* 2 1) into 2 3.085 * [backup-simplify]: Simplify 2 into 2 3.085 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.088 * [taylor]: Taking taylor expansion of 0 in x 3.088 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.098 * [taylor]: Taking taylor expansion of 0 in x 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [taylor]: Taking taylor expansion of 0 in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 3.105 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.106 * [backup-simplify]: Simplify (+ (* y (+ (* 2 x) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.106 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 3.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.106 * [taylor]: Taking taylor expansion of y in x 3.106 * [backup-simplify]: Simplify y into y 3.106 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.106 * [taylor]: Taking taylor expansion of 2 in x 3.106 * [backup-simplify]: Simplify 2 into 2 3.106 * [taylor]: Taking taylor expansion of (* x y) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of y in x 3.106 * [backup-simplify]: Simplify y into y 3.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.106 * [taylor]: Taking taylor expansion of x in y 3.106 * [backup-simplify]: Simplify x into x 3.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.106 * [taylor]: Taking taylor expansion of y in y 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.106 * [taylor]: Taking taylor expansion of 2 in y 3.106 * [backup-simplify]: Simplify 2 into 2 3.106 * [taylor]: Taking taylor expansion of (* x y) in y 3.106 * [taylor]: Taking taylor expansion of x in y 3.106 * [backup-simplify]: Simplify x into x 3.106 * [taylor]: Taking taylor expansion of y in y 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.107 * [taylor]: Taking taylor expansion of x in y 3.107 * [backup-simplify]: Simplify x into x 3.107 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.107 * [taylor]: Taking taylor expansion of y in y 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.107 * [taylor]: Taking taylor expansion of 2 in y 3.107 * [backup-simplify]: Simplify 2 into 2 3.107 * [taylor]: Taking taylor expansion of (* x y) in y 3.107 * [taylor]: Taking taylor expansion of x in y 3.107 * [backup-simplify]: Simplify x into x 3.107 * [taylor]: Taking taylor expansion of y in y 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.107 * [backup-simplify]: Simplify (* x 0) into 0 3.108 * [backup-simplify]: Simplify (* 2 0) into 0 3.108 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.108 * [taylor]: Taking taylor expansion of x in x 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.109 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.109 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 3.109 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 3.109 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 3.109 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.109 * [taylor]: Taking taylor expansion of 2 in x 3.109 * [backup-simplify]: Simplify 2 into 2 3.109 * [taylor]: Taking taylor expansion of x in x 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (* 2 0) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.111 * [backup-simplify]: Simplify (* 1 1) into 1 3.111 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 3.112 * [backup-simplify]: Simplify (+ 1 0) into 1 3.113 * [backup-simplify]: Simplify (+ 0 1) into 1 3.113 * [taylor]: Taking taylor expansion of 1 in x 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.114 * [backup-simplify]: Simplify 2 into 2 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.115 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 3.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.115 * [taylor]: Taking taylor expansion of x in x 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.116 * [taylor]: Taking taylor expansion of y in x 3.116 * [backup-simplify]: Simplify y into y 3.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.116 * [taylor]: Taking taylor expansion of 2 in x 3.116 * [backup-simplify]: Simplify 2 into 2 3.116 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.116 * [taylor]: Taking taylor expansion of (* x y) in x 3.116 * [taylor]: Taking taylor expansion of x in x 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [taylor]: Taking taylor expansion of y in x 3.117 * [backup-simplify]: Simplify y into y 3.117 * [backup-simplify]: Simplify (* 0 y) into 0 3.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.117 * [taylor]: Taking taylor expansion of x in y 3.117 * [backup-simplify]: Simplify x into x 3.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.117 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.118 * [taylor]: Taking taylor expansion of y in y 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (* 1 1) into 1 3.118 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.118 * [taylor]: Taking taylor expansion of 2 in y 3.118 * [backup-simplify]: Simplify 2 into 2 3.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.118 * [taylor]: Taking taylor expansion of (* x y) in y 3.118 * [taylor]: Taking taylor expansion of x in y 3.118 * [backup-simplify]: Simplify x into x 3.118 * [taylor]: Taking taylor expansion of y in y 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (* x 0) into 0 3.119 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.119 * [taylor]: Taking taylor expansion of x in y 3.119 * [backup-simplify]: Simplify x into x 3.119 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.119 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.120 * [taylor]: Taking taylor expansion of y in y 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (* 1 1) into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.120 * [taylor]: Taking taylor expansion of 2 in y 3.120 * [backup-simplify]: Simplify 2 into 2 3.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.120 * [taylor]: Taking taylor expansion of (* x y) in y 3.120 * [taylor]: Taking taylor expansion of x in y 3.120 * [backup-simplify]: Simplify x into x 3.120 * [taylor]: Taking taylor expansion of y in y 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (* x 0) into 0 3.121 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.121 * [backup-simplify]: Simplify (+ 1 0) into 1 3.122 * [backup-simplify]: Simplify (+ 0 1) into 1 3.122 * [taylor]: Taking taylor expansion of 1 in x 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.123 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.124 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 3.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.124 * [taylor]: Taking taylor expansion of 2 in x 3.124 * [backup-simplify]: Simplify 2 into 2 3.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.128 * [taylor]: Taking taylor expansion of x in x 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (* 1 1) into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (* 2 1) into 2 3.129 * [backup-simplify]: Simplify 2 into 2 3.129 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.130 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.130 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 3.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.130 * [taylor]: Taking taylor expansion of x in x 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.131 * [taylor]: Taking taylor expansion of y in x 3.131 * [backup-simplify]: Simplify y into y 3.131 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.132 * [taylor]: Taking taylor expansion of 2 in x 3.132 * [backup-simplify]: Simplify 2 into 2 3.132 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.132 * [taylor]: Taking taylor expansion of (* x y) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [taylor]: Taking taylor expansion of y in x 3.132 * [backup-simplify]: Simplify y into y 3.132 * [backup-simplify]: Simplify (* 0 y) into 0 3.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.133 * [taylor]: Taking taylor expansion of x in y 3.133 * [backup-simplify]: Simplify x into x 3.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.133 * [taylor]: Taking taylor expansion of y in y 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 1 into 1 3.133 * [backup-simplify]: Simplify (* 1 1) into 1 3.134 * [backup-simplify]: Simplify (/ 1 1) into 1 3.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.134 * [taylor]: Taking taylor expansion of 2 in y 3.134 * [backup-simplify]: Simplify 2 into 2 3.134 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.134 * [taylor]: Taking taylor expansion of (* x y) in y 3.134 * [taylor]: Taking taylor expansion of x in y 3.134 * [backup-simplify]: Simplify x into x 3.134 * [taylor]: Taking taylor expansion of y in y 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [backup-simplify]: Simplify (* x 0) into 0 3.134 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.134 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.135 * [taylor]: Taking taylor expansion of x in y 3.135 * [backup-simplify]: Simplify x into x 3.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.135 * [taylor]: Taking taylor expansion of y in y 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (* 1 1) into 1 3.136 * [backup-simplify]: Simplify (/ 1 1) into 1 3.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.136 * [taylor]: Taking taylor expansion of 2 in y 3.136 * [backup-simplify]: Simplify 2 into 2 3.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.136 * [taylor]: Taking taylor expansion of (* x y) in y 3.136 * [taylor]: Taking taylor expansion of x in y 3.136 * [backup-simplify]: Simplify x into x 3.136 * [taylor]: Taking taylor expansion of y in y 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (* x 0) into 0 3.136 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.137 * [backup-simplify]: Simplify (+ 1 0) into 1 3.137 * [backup-simplify]: Simplify (+ 0 1) into 1 3.137 * [taylor]: Taking taylor expansion of 1 in x 3.137 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.139 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.139 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 3.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.139 * [taylor]: Taking taylor expansion of 2 in x 3.139 * [backup-simplify]: Simplify 2 into 2 3.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.142 * [taylor]: Taking taylor expansion of x in x 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (* 1 1) into 1 3.142 * [backup-simplify]: Simplify (/ 1 1) into 1 3.142 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (* 2 1) into 2 3.143 * [backup-simplify]: Simplify 2 into 2 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.143 * * * [progress]: simplifying candidates 3.144 * [simplify]: Simplifying: (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* y (+ (* 2 x) y))) (exp (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (* (* (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x))) (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* x x)))) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* x x))) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.145 * * [simplify]: Extracting # 0 : cost 0 3.145 * * [simplify]: Extracting # 1 : cost 0 3.145 * * [simplify]: Extracting # 2 : cost 0 3.145 * * [simplify]: Extracting # 3 : cost 0 3.145 * * [simplify]: Extracting # 4 : cost 0 3.145 * * [simplify]: Extracting # 5 : cost 0 3.145 * * [simplify]: Extracting # 6 : cost 0 3.145 * * [simplify]: Extracting # 7 : cost 0 3.145 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 3.175 * * [simplify]: Extracting # 0 : cost 0 3.176 * * [simplify]: Extracting # 1 : cost 0 3.176 * * [simplify]: Extracting # 2 : cost 0 3.177 * * [simplify]: Extracting # 3 : cost 0 3.177 * * [simplify]: iteration 1 : 216 enodes (cost 485 ) 3.330 * * [simplify]: Extracting # 0 : cost 0 3.331 * * [simplify]: Extracting # 1 : cost 0 3.332 * * [simplify]: Extracting # 2 : cost 0 3.333 * * [simplify]: Extracting # 3 : cost 0 3.333 * * [simplify]: Extracting # 4 : cost 0 3.334 * * [simplify]: iteration 2 : 736 enodes (cost 445 ) 4.075 * * [simplify]: Extracting # 0 : cost 0 4.081 * * [simplify]: Extracting # 1 : cost 0 4.084 * * [simplify]: Extracting # 2 : cost 0 4.089 * * [simplify]: Extracting # 3 : cost 0 4.094 * * [simplify]: Extracting # 4 : cost 0 4.098 * * [simplify]: iteration 3 : 3389 enodes (cost 437 ) 5.383 * * [simplify]: Extracting # 0 : cost 0 5.390 * * [simplify]: Extracting # 1 : cost 0 5.400 * * [simplify]: Extracting # 2 : cost 0 5.409 * * [simplify]: Extracting # 3 : cost 0 5.418 * * [simplify]: Extracting # 4 : cost 0 5.423 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 5.424 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (log (* (+ (* 2 x) y) y)) (log (* (+ (* 2 x) y) y)) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (pow (+ (* (+ (* 2 x) y) y) (pow x 2)) 3) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow x 6)) (+ (* (* (+ (* 2 x) y) y) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (pow x 4)) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) 5.424 * * * [progress]: adding candidates to table 5.524 * * [progress]: iteration 3 / 4 5.524 * * * [progress]: picking best candidate 5.526 * * * * [pick]: Picked # 5.526 * * * [progress]: localizing error 5.536 * * * [progress]: generating rewritten candidates 5.536 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.571 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 5.592 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 5.616 * * * [progress]: generating series expansions 5.616 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 5.616 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 5.616 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 5.616 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 5.616 * [taylor]: Taking taylor expansion of y in y 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [taylor]: Taking taylor expansion of (+ x y) in y 5.616 * [taylor]: Taking taylor expansion of x in y 5.616 * [backup-simplify]: Simplify x into x 5.616 * [taylor]: Taking taylor expansion of y in y 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 5.616 * [taylor]: Taking taylor expansion of y in x 5.616 * [backup-simplify]: Simplify y into y 5.616 * [taylor]: Taking taylor expansion of (+ x y) in x 5.616 * [taylor]: Taking taylor expansion of x in x 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [taylor]: Taking taylor expansion of y in x 5.616 * [backup-simplify]: Simplify y into y 5.616 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 5.616 * [taylor]: Taking taylor expansion of y in x 5.616 * [backup-simplify]: Simplify y into y 5.616 * [taylor]: Taking taylor expansion of (+ x y) in x 5.616 * [taylor]: Taking taylor expansion of x in x 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [taylor]: Taking taylor expansion of y in x 5.616 * [backup-simplify]: Simplify y into y 5.616 * [backup-simplify]: Simplify (+ 0 y) into y 5.616 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.616 * [taylor]: Taking taylor expansion of y in y 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (+ 1 0) into 1 5.617 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 5.617 * [taylor]: Taking taylor expansion of y in y 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 5.618 * [taylor]: Taking taylor expansion of 0 in y 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (* 1 1) into 1 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (+ 0 0) into 0 5.619 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 5.619 * [taylor]: Taking taylor expansion of 0 in y 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 5.621 * [taylor]: Taking taylor expansion of 0 in y 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 5.621 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 5.621 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 5.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 5.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.621 * [taylor]: Taking taylor expansion of y in y 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.621 * [backup-simplify]: Simplify (/ 1 1) into 1 5.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.621 * [taylor]: Taking taylor expansion of x in y 5.621 * [backup-simplify]: Simplify x into x 5.621 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.621 * [taylor]: Taking taylor expansion of y in y 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (+ 1 0) into 1 5.622 * [backup-simplify]: Simplify (/ 1 1) into 1 5.622 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.622 * [taylor]: Taking taylor expansion of y in x 5.622 * [backup-simplify]: Simplify y into y 5.622 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.622 * [taylor]: Taking taylor expansion of x in x 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (/ 1 1) into 1 5.622 * [taylor]: Taking taylor expansion of y in x 5.622 * [backup-simplify]: Simplify y into y 5.623 * [backup-simplify]: Simplify (+ 0 1) into 1 5.623 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.623 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.623 * [taylor]: Taking taylor expansion of y in x 5.623 * [backup-simplify]: Simplify y into y 5.623 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.623 * [taylor]: Taking taylor expansion of x in x 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [backup-simplify]: Simplify (/ 1 1) into 1 5.623 * [taylor]: Taking taylor expansion of y in x 5.623 * [backup-simplify]: Simplify y into y 5.624 * [backup-simplify]: Simplify (+ 0 1) into 1 5.624 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.624 * [taylor]: Taking taylor expansion of y in y 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.625 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 5.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.625 * [taylor]: Taking taylor expansion of y in y 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (* 1 1) into 1 5.625 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 5.627 * [taylor]: Taking taylor expansion of 0 in y 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.628 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.630 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.630 * [taylor]: Taking taylor expansion of 0 in y 5.630 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.634 * [taylor]: Taking taylor expansion of 0 in y 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 5.637 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 5.637 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 5.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 5.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.637 * [taylor]: Taking taylor expansion of y in y 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ 1 1) into 1 5.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.637 * [taylor]: Taking taylor expansion of x in y 5.637 * [backup-simplify]: Simplify x into x 5.637 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.637 * [taylor]: Taking taylor expansion of y in y 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (+ 1 0) into 1 5.638 * [backup-simplify]: Simplify (/ 1 1) into 1 5.638 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.638 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.638 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.638 * [taylor]: Taking taylor expansion of y in x 5.638 * [backup-simplify]: Simplify y into y 5.638 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.638 * [taylor]: Taking taylor expansion of x in x 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ 1 1) into 1 5.639 * [taylor]: Taking taylor expansion of y in x 5.639 * [backup-simplify]: Simplify y into y 5.639 * [backup-simplify]: Simplify (+ 0 1) into 1 5.639 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.639 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.639 * [taylor]: Taking taylor expansion of y in x 5.639 * [backup-simplify]: Simplify y into y 5.639 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.639 * [taylor]: Taking taylor expansion of x in x 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of y in x 5.640 * [backup-simplify]: Simplify y into y 5.640 * [backup-simplify]: Simplify (+ 0 1) into 1 5.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.640 * [taylor]: Taking taylor expansion of y in y 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.641 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.642 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 5.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.642 * [taylor]: Taking taylor expansion of y in y 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (* 1 1) into 1 5.642 * [backup-simplify]: Simplify (/ 1 1) into 1 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 5.644 * [taylor]: Taking taylor expansion of 0 in y 5.644 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.648 * [taylor]: Taking taylor expansion of 0 in y 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.652 * [taylor]: Taking taylor expansion of 0 in y 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 5.654 * * * * [progress]: [ 2 / 3 ] generating series at (2) 5.654 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.654 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 5.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 5.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.654 * [taylor]: Taking taylor expansion of x in y 5.654 * [backup-simplify]: Simplify x into x 5.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.654 * [taylor]: Taking taylor expansion of y in y 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 1 into 1 5.654 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.654 * [taylor]: Taking taylor expansion of 2 in y 5.655 * [backup-simplify]: Simplify 2 into 2 5.655 * [taylor]: Taking taylor expansion of (* x y) in y 5.655 * [taylor]: Taking taylor expansion of x in y 5.655 * [backup-simplify]: Simplify x into x 5.655 * [taylor]: Taking taylor expansion of y in y 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 5.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.655 * [taylor]: Taking taylor expansion of x in x 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 5.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.655 * [taylor]: Taking taylor expansion of y in x 5.655 * [backup-simplify]: Simplify y into y 5.655 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.655 * [taylor]: Taking taylor expansion of 2 in x 5.655 * [backup-simplify]: Simplify 2 into 2 5.655 * [taylor]: Taking taylor expansion of (* x y) in x 5.655 * [taylor]: Taking taylor expansion of x in x 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [taylor]: Taking taylor expansion of y in x 5.655 * [backup-simplify]: Simplify y into y 5.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 5.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.655 * [taylor]: Taking taylor expansion of x in x 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 5.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.655 * [taylor]: Taking taylor expansion of y in x 5.655 * [backup-simplify]: Simplify y into y 5.655 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.655 * [taylor]: Taking taylor expansion of 2 in x 5.655 * [backup-simplify]: Simplify 2 into 2 5.655 * [taylor]: Taking taylor expansion of (* x y) in x 5.655 * [taylor]: Taking taylor expansion of x in x 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [taylor]: Taking taylor expansion of y in x 5.655 * [backup-simplify]: Simplify y into y 5.656 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.656 * [backup-simplify]: Simplify (* 0 y) into 0 5.656 * [backup-simplify]: Simplify (* 2 0) into 0 5.656 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.656 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.656 * [taylor]: Taking taylor expansion of y in y 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.657 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.657 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 5.657 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 5.657 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 5.658 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.658 * [taylor]: Taking taylor expansion of 2 in y 5.658 * [backup-simplify]: Simplify 2 into 2 5.658 * [taylor]: Taking taylor expansion of y in y 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (* 2 0) into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (* 1 1) into 1 5.659 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [backup-simplify]: Simplify (+ 1 0) into 1 5.664 * [taylor]: Taking taylor expansion of 1 in y 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.665 * [backup-simplify]: Simplify 2 into 2 5.666 * [backup-simplify]: Simplify (* 1 1) into 1 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [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)))) 5.667 * [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))))) 5.667 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 5.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.667 * [taylor]: Taking taylor expansion of x in y 5.667 * [backup-simplify]: Simplify x into x 5.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.667 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.667 * [taylor]: Taking taylor expansion of y in y 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (* 1 1) into 1 5.668 * [backup-simplify]: Simplify (/ 1 1) into 1 5.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.668 * [taylor]: Taking taylor expansion of 2 in y 5.668 * [backup-simplify]: Simplify 2 into 2 5.668 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.668 * [taylor]: Taking taylor expansion of (* x y) in y 5.668 * [taylor]: Taking taylor expansion of x in y 5.668 * [backup-simplify]: Simplify x into x 5.668 * [taylor]: Taking taylor expansion of y in y 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (* x 0) into 0 5.668 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.668 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.669 * [taylor]: Taking taylor expansion of x in x 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify (* 1 1) into 1 5.669 * [backup-simplify]: Simplify (/ 1 1) into 1 5.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.669 * [taylor]: Taking taylor expansion of y in x 5.669 * [backup-simplify]: Simplify y into y 5.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.670 * [taylor]: Taking taylor expansion of 2 in x 5.670 * [backup-simplify]: Simplify 2 into 2 5.670 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.670 * [taylor]: Taking taylor expansion of (* x y) in x 5.670 * [taylor]: Taking taylor expansion of x in x 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [taylor]: Taking taylor expansion of y in x 5.670 * [backup-simplify]: Simplify y into y 5.670 * [backup-simplify]: Simplify (* 0 y) into 0 5.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.670 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.670 * [taylor]: Taking taylor expansion of x in x 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (* 1 1) into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.671 * [taylor]: Taking taylor expansion of y in x 5.671 * [backup-simplify]: Simplify y into y 5.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.672 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.672 * [taylor]: Taking taylor expansion of 2 in x 5.672 * [backup-simplify]: Simplify 2 into 2 5.672 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.672 * [taylor]: Taking taylor expansion of (* x y) in x 5.672 * [taylor]: Taking taylor expansion of x in x 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [taylor]: Taking taylor expansion of y in x 5.672 * [backup-simplify]: Simplify y into y 5.672 * [backup-simplify]: Simplify (* 0 y) into 0 5.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.672 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.673 * [backup-simplify]: Simplify (+ 1 0) into 1 5.673 * [taylor]: Taking taylor expansion of 1 in y 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.674 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.674 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 5.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.674 * [taylor]: Taking taylor expansion of 2 in y 5.674 * [backup-simplify]: Simplify 2 into 2 5.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.674 * [taylor]: Taking taylor expansion of y in y 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify (/ 1 1) into 1 5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.678 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.678 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.678 * [taylor]: Taking taylor expansion of y in y 5.678 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 1 into 1 5.679 * [backup-simplify]: Simplify (* 1 1) into 1 5.679 * [backup-simplify]: Simplify (/ 1 1) into 1 5.679 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify (* 2 1) into 2 5.680 * [backup-simplify]: Simplify 2 into 2 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [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)))) 5.681 * [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))))) 5.681 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 5.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.681 * [taylor]: Taking taylor expansion of x in y 5.681 * [backup-simplify]: Simplify x into x 5.681 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.681 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.681 * [taylor]: Taking taylor expansion of y in y 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (* 1 1) into 1 5.682 * [backup-simplify]: Simplify (/ 1 1) into 1 5.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.682 * [taylor]: Taking taylor expansion of 2 in y 5.682 * [backup-simplify]: Simplify 2 into 2 5.682 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.682 * [taylor]: Taking taylor expansion of (* x y) in y 5.682 * [taylor]: Taking taylor expansion of x in y 5.682 * [backup-simplify]: Simplify x into x 5.682 * [taylor]: Taking taylor expansion of y in y 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (* x 0) into 0 5.683 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.683 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.683 * [taylor]: Taking taylor expansion of x in x 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [backup-simplify]: Simplify (* 1 1) into 1 5.684 * [backup-simplify]: Simplify (/ 1 1) into 1 5.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.684 * [taylor]: Taking taylor expansion of y in x 5.684 * [backup-simplify]: Simplify y into y 5.684 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.684 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.684 * [taylor]: Taking taylor expansion of 2 in x 5.684 * [backup-simplify]: Simplify 2 into 2 5.684 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.684 * [taylor]: Taking taylor expansion of (* x y) in x 5.684 * [taylor]: Taking taylor expansion of x in x 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [taylor]: Taking taylor expansion of y in x 5.684 * [backup-simplify]: Simplify y into y 5.684 * [backup-simplify]: Simplify (* 0 y) into 0 5.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.685 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.685 * [taylor]: Taking taylor expansion of x in x 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.685 * [backup-simplify]: Simplify (* 1 1) into 1 5.685 * [backup-simplify]: Simplify (/ 1 1) into 1 5.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.686 * [taylor]: Taking taylor expansion of y in x 5.686 * [backup-simplify]: Simplify y into y 5.686 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.686 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.686 * [taylor]: Taking taylor expansion of 2 in x 5.686 * [backup-simplify]: Simplify 2 into 2 5.686 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.686 * [taylor]: Taking taylor expansion of (* x y) in x 5.686 * [taylor]: Taking taylor expansion of x in x 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [taylor]: Taking taylor expansion of y in x 5.686 * [backup-simplify]: Simplify y into y 5.686 * [backup-simplify]: Simplify (* 0 y) into 0 5.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.686 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.687 * [backup-simplify]: Simplify (+ 1 0) into 1 5.687 * [taylor]: Taking taylor expansion of 1 in y 5.687 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.688 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.688 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 5.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.688 * [taylor]: Taking taylor expansion of 2 in y 5.688 * [backup-simplify]: Simplify 2 into 2 5.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.689 * [taylor]: Taking taylor expansion of y in y 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 5.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.692 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.692 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.692 * [taylor]: Taking taylor expansion of y in y 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (* 1 1) into 1 5.693 * [backup-simplify]: Simplify (/ 1 1) into 1 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (* 2 1) into 2 5.693 * [backup-simplify]: Simplify 2 into 2 5.693 * [backup-simplify]: Simplify 1 into 1 5.694 * [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)))) 5.694 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.694 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 5.694 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 5.694 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 5.694 * [taylor]: Taking taylor expansion of x in y 5.694 * [backup-simplify]: Simplify x into x 5.694 * [taylor]: Taking taylor expansion of (+ x y) in y 5.694 * [taylor]: Taking taylor expansion of x in y 5.694 * [backup-simplify]: Simplify x into x 5.694 * [taylor]: Taking taylor expansion of y in y 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.694 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.694 * [taylor]: Taking taylor expansion of x in x 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.695 * [taylor]: Taking taylor expansion of (+ x y) in x 5.695 * [taylor]: Taking taylor expansion of x in x 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [taylor]: Taking taylor expansion of y in x 5.695 * [backup-simplify]: Simplify y into y 5.695 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.695 * [taylor]: Taking taylor expansion of x in x 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [taylor]: Taking taylor expansion of (+ x y) in x 5.695 * [taylor]: Taking taylor expansion of x in x 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [taylor]: Taking taylor expansion of y in x 5.695 * [backup-simplify]: Simplify y into y 5.695 * [backup-simplify]: Simplify (+ 0 y) into y 5.695 * [backup-simplify]: Simplify (* 0 y) into 0 5.695 * [taylor]: Taking taylor expansion of 0 in y 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify (+ 1 0) into 1 5.696 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 5.696 * [taylor]: Taking taylor expansion of y in y 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify (+ 0 0) into 0 5.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 5.697 * [taylor]: Taking taylor expansion of 1 in y 5.697 * [backup-simplify]: Simplify 1 into 1 5.697 * [backup-simplify]: Simplify 1 into 1 5.697 * [backup-simplify]: Simplify 1 into 1 5.697 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 5.699 * [taylor]: Taking taylor expansion of 0 in y 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ 0 0) into 0 5.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 5.701 * [taylor]: Taking taylor expansion of 0 in y 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 5.701 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 5.701 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 5.701 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 5.701 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.701 * [taylor]: Taking taylor expansion of y in y 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 1 into 1 5.702 * [backup-simplify]: Simplify (/ 1 1) into 1 5.702 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.702 * [taylor]: Taking taylor expansion of x in y 5.702 * [backup-simplify]: Simplify x into x 5.702 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.702 * [taylor]: Taking taylor expansion of x in y 5.702 * [backup-simplify]: Simplify x into x 5.702 * [backup-simplify]: Simplify (+ 1 0) into 1 5.702 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.702 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 5.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.702 * [taylor]: Taking taylor expansion of y in x 5.702 * [backup-simplify]: Simplify y into y 5.702 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.702 * [taylor]: Taking taylor expansion of x in x 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (/ 1 1) into 1 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (+ 0 1) into 1 5.704 * [backup-simplify]: Simplify (/ 1 1) into 1 5.704 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 5.704 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.704 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.704 * [taylor]: Taking taylor expansion of y in x 5.704 * [backup-simplify]: Simplify y into y 5.704 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.704 * [taylor]: Taking taylor expansion of x in x 5.704 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (/ 1 1) into 1 5.704 * [taylor]: Taking taylor expansion of x in x 5.704 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify 1 into 1 5.705 * [backup-simplify]: Simplify (+ 0 1) into 1 5.705 * [backup-simplify]: Simplify (/ 1 1) into 1 5.705 * [taylor]: Taking taylor expansion of 1 in y 5.705 * [backup-simplify]: Simplify 1 into 1 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.706 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.706 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.707 * [taylor]: Taking taylor expansion of y in y 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify (/ 1 1) into 1 5.707 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (+ 0 0) into 0 5.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.709 * [taylor]: Taking taylor expansion of 0 in y 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.710 * [backup-simplify]: Simplify (+ 0 0) into 0 5.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.712 * [taylor]: Taking taylor expansion of 0 in y 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.713 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.715 * [taylor]: Taking taylor expansion of 0 in y 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 5.715 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 5.715 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 5.715 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 5.715 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.715 * [taylor]: Taking taylor expansion of y in y 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (/ 1 1) into 1 5.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.716 * [taylor]: Taking taylor expansion of x in y 5.716 * [backup-simplify]: Simplify x into x 5.716 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.716 * [taylor]: Taking taylor expansion of x in y 5.716 * [backup-simplify]: Simplify x into x 5.716 * [backup-simplify]: Simplify (+ 1 0) into 1 5.716 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.716 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 5.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.716 * [taylor]: Taking taylor expansion of y in x 5.716 * [backup-simplify]: Simplify y into y 5.716 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.716 * [taylor]: Taking taylor expansion of x in x 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.717 * [backup-simplify]: Simplify (/ 1 1) into 1 5.717 * [taylor]: Taking taylor expansion of x in x 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.717 * [backup-simplify]: Simplify (+ 0 1) into 1 5.717 * [backup-simplify]: Simplify (/ 1 1) into 1 5.717 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 5.717 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.717 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.717 * [taylor]: Taking taylor expansion of y in x 5.717 * [backup-simplify]: Simplify y into y 5.717 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.717 * [taylor]: Taking taylor expansion of x in x 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (/ 1 1) into 1 5.718 * [taylor]: Taking taylor expansion of x in x 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (+ 0 1) into 1 5.718 * [backup-simplify]: Simplify (/ 1 1) into 1 5.718 * [taylor]: Taking taylor expansion of 1 in y 5.718 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.719 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.719 * [taylor]: Taking taylor expansion of y in y 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.720 * [backup-simplify]: Simplify (/ 1 1) into 1 5.720 * [backup-simplify]: Simplify 1 into 1 5.720 * [backup-simplify]: Simplify 1 into 1 5.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.720 * [backup-simplify]: Simplify (+ 0 0) into 0 5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.721 * [taylor]: Taking taylor expansion of 0 in y 5.721 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.724 * [taylor]: Taking taylor expansion of 0 in y 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.726 * [backup-simplify]: Simplify (+ 0 0) into 0 5.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.727 * [taylor]: Taking taylor expansion of 0 in y 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 5.727 * * * [progress]: simplifying candidates 5.728 * [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) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 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)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 5.730 * * [simplify]: Extracting # 0 : cost 0 5.730 * * [simplify]: Extracting # 1 : cost 0 5.730 * * [simplify]: Extracting # 2 : cost 0 5.730 * * [simplify]: Extracting # 3 : cost 0 5.730 * * [simplify]: Extracting # 4 : cost 0 5.730 * * [simplify]: Extracting # 5 : cost 0 5.730 * * [simplify]: Extracting # 6 : cost 0 5.730 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 5.752 * * [simplify]: Extracting # 0 : cost 0 5.753 * * [simplify]: Extracting # 1 : cost 0 5.753 * * [simplify]: Extracting # 2 : cost 0 5.753 * * [simplify]: Extracting # 3 : cost 0 5.754 * * [simplify]: Extracting # 4 : cost 0 5.754 * * [simplify]: Extracting # 5 : cost 0 5.754 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 5.915 * * [simplify]: Extracting # 0 : cost 0 5.916 * * [simplify]: Extracting # 1 : cost 0 5.917 * * [simplify]: Extracting # 2 : cost 0 5.918 * * [simplify]: Extracting # 3 : cost 0 5.919 * * [simplify]: Extracting # 4 : cost 0 5.921 * * [simplify]: iteration 2 : 1097 enodes (cost 636 ) 7.333 * * [simplify]: Extracting # 0 : cost 0 7.344 * * [simplify]: Extracting # 1 : cost 0 7.351 * * [simplify]: Extracting # 2 : cost 0 7.358 * * [simplify]: Extracting # 3 : cost 0 7.365 * * [simplify]: Extracting # 4 : cost 0 7.373 * * [simplify]: Extracting # 5 : cost 0 7.377 * * [simplify]: iteration 3 : 4968 enodes (cost 610 ) 9.046 * * [simplify]: Extracting # 0 : cost 0 9.053 * * [simplify]: Extracting # 1 : cost 0 9.061 * * [simplify]: Extracting # 2 : cost 0 9.066 * * [simplify]: Extracting # 3 : cost 0 9.070 * * [simplify]: Extracting # 4 : cost 0 9.076 * * [simplify]: iteration done: 5001 enodes (cost 610 ) 9.077 * [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) (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)) (* (+ (* x x) (* y (- y x))) (+ x y))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (+ (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) y)) (* (* (+ (pow x 3) (pow y 3)) x) (- x y))) (* (- x y) (+ (* x x) (* y (- y x)))) (+ (* (- x y) (* (+ (pow x 3) (pow y 3)) y)) (* (- (pow x 2) (* y y)) (* x (+ (* x x) (* y (- y x)))))) (* (- x y) (+ (* x x) (* y (- y x)))) (* (- (pow x 2) (* y y)) (- (pow x 2) (* y y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* (+ x y) (* x x)) (* y (* (+ x y) (- y x))))) (* (pow (+ x y) 3) (- x y)) (- (pow x 2) (* y y)) (+ x 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) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (* (+ x y) x) (* (+ x y) x) (* (+ x y) x) 9.077 * * * [progress]: adding candidates to table 9.221 * [progress]: [Phase 3 of 3] Extracting. 9.221 * * [regime]: Finding splitpoints for: (# #) 9.221 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.221 * * * * [regimes]: Trying to branch on y from (# #) 9.234 * * * * [regimes]: Trying to branch on x from (# #) 9.251 * * * [regime]: Found split indices: #