62.258 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: Extracting # 3 : cost 0 0.027 * * [simplify]: Extracting # 4 : cost 0 0.027 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: Extracting # 2 : cost 0 0.028 * * [simplify]: iteration 1 : 11 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 2 : 25 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.057 * * [simplify]: Extracting # 0 : cost 0 0.057 * * [simplify]: Extracting # 1 : cost 0 0.058 * * [simplify]: Extracting # 2 : cost 0 0.058 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.085 * * [simplify]: Extracting # 0 : cost 0 0.085 * * [simplify]: Extracting # 1 : cost 0 0.085 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.157 * * [simplify]: Extracting # 0 : cost 0 0.157 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.157 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.158 * * [progress]: iteration 1 / 4 0.158 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.166 * * * [progress]: generating rewritten candidates 0.166 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.217 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.217 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.217 * [taylor]: Taking taylor expansion of (+ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [backup-simplify]: Simplify x into x 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ x 0) into x 0.218 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.218 * [taylor]: Taking taylor expansion of (+ x y) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [backup-simplify]: Simplify y into y 0.218 * [backup-simplify]: Simplify (+ 0 y) into y 0.218 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.218 * [taylor]: Taking taylor expansion of (+ x y) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [backup-simplify]: Simplify y into y 0.218 * [backup-simplify]: Simplify (+ 0 y) into y 0.218 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.218 * [taylor]: Taking taylor expansion of (pow y 2) 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 0) into 1 0.219 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.219 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [backup-simplify]: Simplify 2 into 2 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 2 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.220 * [backup-simplify]: Simplify 2 into 2 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [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)))) 0.221 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.221 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.222 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 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 * [backup-simplify]: Simplify (+ 0 1) 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 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1 in y 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.224 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.224 * [taylor]: Taking taylor expansion of 2 in y 0.224 * [backup-simplify]: Simplify 2 into 2 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 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 0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (* 1 1) into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 2 1) into 2 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [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)))) 0.227 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.227 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [backup-simplify]: Simplify x into x 0.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (+ 0 1) into 1 0.229 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [backup-simplify]: Simplify y into y 0.229 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.231 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.231 * [taylor]: Taking taylor expansion of 2 in y 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 2 1) into 2 0.233 * [backup-simplify]: Simplify 2 into 2 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [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)))) 0.234 * * * [progress]: simplifying candidates 0.234 * [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)))) 0.235 * * [simplify]: Extracting # 0 : cost 0 0.235 * * [simplify]: Extracting # 1 : cost 0 0.235 * * [simplify]: Extracting # 2 : cost 0 0.235 * * [simplify]: Extracting # 3 : cost 0 0.236 * * [simplify]: Extracting # 4 : cost 0 0.236 * * [simplify]: Extracting # 5 : cost 0 0.236 * * [simplify]: Extracting # 6 : cost 0 0.236 * * [simplify]: Extracting # 7 : cost 0 0.236 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.260 * * [simplify]: Extracting # 0 : cost 0 0.260 * * [simplify]: Extracting # 1 : cost 0 0.260 * * [simplify]: Extracting # 2 : cost 0 0.261 * * [simplify]: Extracting # 3 : cost 0 0.261 * * [simplify]: Extracting # 4 : cost 0 0.261 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.371 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.373 * * [simplify]: Extracting # 2 : cost 0 0.374 * * [simplify]: Extracting # 3 : cost 0 0.375 * * [simplify]: Extracting # 4 : cost 0 0.376 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.292 * * [simplify]: Extracting # 0 : cost 0 1.297 * * [simplify]: Extracting # 1 : cost 0 1.304 * * [simplify]: Extracting # 2 : cost 0 1.307 * * [simplify]: Extracting # 3 : cost 0 1.310 * * [simplify]: Extracting # 4 : cost 0 1.313 * * [simplify]: Extracting # 5 : cost 0 1.316 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.674 * * [simplify]: Extracting # 0 : cost 0 2.680 * * [simplify]: Extracting # 1 : cost 0 2.685 * * [simplify]: Extracting # 2 : cost 0 2.690 * * [simplify]: Extracting # 3 : cost 0 2.697 * * [simplify]: Extracting # 4 : cost 0 2.706 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.707 * [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)) 2.707 * * * [progress]: adding candidates to table 2.783 * * [progress]: iteration 2 / 4 2.783 * * * [progress]: picking best candidate 2.787 * * * * [pick]: Picked # 2.787 * * * [progress]: localizing error 2.797 * * * [progress]: generating rewritten candidates 2.798 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.831 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.863 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.890 * * * [progress]: generating series expansions 2.891 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.891 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 2.891 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 2.891 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 2.891 * [taylor]: Taking taylor expansion of y in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of (+ x y) in y 2.891 * [taylor]: Taking taylor expansion of x in y 2.891 * [backup-simplify]: Simplify x into x 2.891 * [taylor]: Taking taylor expansion of y in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.891 * [taylor]: Taking taylor expansion of (+ x y) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.891 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.891 * [taylor]: Taking taylor expansion of (+ x y) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.892 * [backup-simplify]: Simplify (+ 0 y) into y 2.892 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.892 * [taylor]: Taking taylor expansion of y in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (+ 1 0) into 1 2.892 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 2.893 * [taylor]: Taking taylor expansion of y in y 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 2.893 * [taylor]: Taking taylor expansion of 0 in y 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.895 * [taylor]: Taking taylor expansion of 0 in y 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.897 * [taylor]: Taking taylor expansion of 0 in y 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 2.898 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.898 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.898 * [taylor]: Taking taylor expansion of y in y 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.898 * [taylor]: Taking taylor expansion of x in y 2.898 * [backup-simplify]: Simplify x into x 2.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.899 * [taylor]: Taking taylor expansion of y in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (+ 1 0) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.903 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.903 * [taylor]: Taking taylor expansion of y in x 2.903 * [backup-simplify]: Simplify y into y 2.903 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.903 * [taylor]: Taking taylor expansion of x in x 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (/ 1 1) into 1 2.904 * [taylor]: Taking taylor expansion of y in x 2.904 * [backup-simplify]: Simplify y into y 2.904 * [backup-simplify]: Simplify (+ 0 1) into 1 2.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.904 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.904 * [taylor]: Taking taylor expansion of y in x 2.904 * [backup-simplify]: Simplify y into y 2.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.905 * [taylor]: Taking taylor expansion of x in x 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (/ 1 1) into 1 2.905 * [taylor]: Taking taylor expansion of y in x 2.905 * [backup-simplify]: Simplify y into y 2.905 * [backup-simplify]: Simplify (+ 0 1) into 1 2.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.906 * [taylor]: Taking taylor expansion of y in y 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.907 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (* 1 1) into 1 2.908 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.909 * [taylor]: Taking taylor expansion of 0 in y 2.909 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.913 * [taylor]: Taking taylor expansion of 0 in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.917 * [taylor]: Taking taylor expansion of 0 in y 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 2.920 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.920 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.920 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.920 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.920 * [taylor]: Taking taylor expansion of y in y 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.920 * [taylor]: Taking taylor expansion of x in y 2.920 * [backup-simplify]: Simplify x into x 2.920 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.920 * [taylor]: Taking taylor expansion of y in y 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (+ 1 0) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.921 * [taylor]: Taking taylor expansion of y in x 2.921 * [backup-simplify]: Simplify y into y 2.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [taylor]: Taking taylor expansion of y in x 2.922 * [backup-simplify]: Simplify y into y 2.922 * [backup-simplify]: Simplify (+ 0 1) into 1 2.922 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.922 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.922 * [taylor]: Taking taylor expansion of y in x 2.922 * [backup-simplify]: Simplify y into y 2.922 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [taylor]: Taking taylor expansion of y in x 2.923 * [backup-simplify]: Simplify y into y 2.923 * [backup-simplify]: Simplify (+ 0 1) into 1 2.923 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.923 * [taylor]: Taking taylor expansion of y in y 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.925 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.925 * [taylor]: Taking taylor expansion of y in y 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (* 1 1) into 1 2.925 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ 0 0) into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.927 * [taylor]: Taking taylor expansion of 0 in y 2.927 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.930 * [taylor]: Taking taylor expansion of 0 in y 2.930 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.935 * [taylor]: Taking taylor expansion of 0 in y 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 2.937 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.937 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.937 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.937 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.937 * [taylor]: Taking taylor expansion of x in y 2.937 * [backup-simplify]: Simplify x into x 2.937 * [taylor]: Taking taylor expansion of (+ x y) in y 2.937 * [taylor]: Taking taylor expansion of x in y 2.937 * [backup-simplify]: Simplify x into x 2.937 * [taylor]: Taking taylor expansion of y in y 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of (+ x y) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of y in x 2.937 * [backup-simplify]: Simplify y into y 2.937 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of (+ x y) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of y in x 2.938 * [backup-simplify]: Simplify y into y 2.938 * [backup-simplify]: Simplify (+ 0 y) into y 2.938 * [backup-simplify]: Simplify (* 0 y) into 0 2.938 * [taylor]: Taking taylor expansion of 0 in y 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (+ 1 0) into 1 2.939 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.939 * [taylor]: Taking taylor expansion of y in y 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.940 * [taylor]: Taking taylor expansion of 1 in y 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.941 * [taylor]: Taking taylor expansion of 0 in y 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.943 * [taylor]: Taking taylor expansion of 0 in y 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.943 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.943 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.944 * [taylor]: Taking taylor expansion of y in y 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.944 * [taylor]: Taking taylor expansion of x in y 2.944 * [backup-simplify]: Simplify x into x 2.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.944 * [taylor]: Taking taylor expansion of x in y 2.944 * [backup-simplify]: Simplify x into x 2.944 * [backup-simplify]: Simplify (+ 1 0) into 1 2.945 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.945 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.945 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.945 * [taylor]: Taking taylor expansion of y in x 2.945 * [backup-simplify]: Simplify y into y 2.945 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (+ 0 1) into 1 2.946 * [backup-simplify]: Simplify (/ 1 1) into 1 2.946 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.946 * [taylor]: Taking taylor expansion of y in x 2.946 * [backup-simplify]: Simplify y into y 2.946 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.946 * [taylor]: Taking taylor expansion of x in x 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of x in x 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (+ 0 1) into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of 1 in y 2.947 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.949 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.949 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.949 * [taylor]: Taking taylor expansion of y in y 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.951 * [taylor]: Taking taylor expansion of 0 in y 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.955 * [taylor]: Taking taylor expansion of 0 in y 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (+ 0 0) into 0 2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [taylor]: Taking taylor expansion of 0 in y 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.960 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.960 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.960 * [taylor]: Taking taylor expansion of y in y 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.960 * [taylor]: Taking taylor expansion of x in y 2.960 * [backup-simplify]: Simplify x into x 2.960 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.960 * [taylor]: Taking taylor expansion of x in y 2.960 * [backup-simplify]: Simplify x into x 2.961 * [backup-simplify]: Simplify (+ 1 0) into 1 2.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.961 * [taylor]: Taking taylor expansion of y in x 2.961 * [backup-simplify]: Simplify y into y 2.961 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.961 * [taylor]: Taking taylor expansion of x in x 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [taylor]: Taking taylor expansion of x in x 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (+ 0 1) into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.962 * [taylor]: Taking taylor expansion of y in x 2.962 * [backup-simplify]: Simplify y into y 2.962 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (+ 0 1) into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [taylor]: Taking taylor expansion of 1 in y 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.964 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.964 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.964 * [taylor]: Taking taylor expansion of y in y 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (/ 1 1) into 1 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.966 * [taylor]: Taking taylor expansion of 0 in y 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [taylor]: Taking taylor expansion of 0 in y 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [taylor]: Taking taylor expansion of 0 in y 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.972 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.972 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.972 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.972 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.972 * [taylor]: Taking taylor expansion of x in y 2.972 * [backup-simplify]: Simplify x into x 2.972 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.972 * [taylor]: Taking taylor expansion of y in y 2.972 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.973 * [taylor]: Taking taylor expansion of 2 in y 2.973 * [backup-simplify]: Simplify 2 into 2 2.973 * [taylor]: Taking taylor expansion of (* x y) in y 2.973 * [taylor]: Taking taylor expansion of x in y 2.973 * [backup-simplify]: Simplify x into x 2.973 * [taylor]: Taking taylor expansion of y in y 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.973 * [taylor]: Taking taylor expansion of 2 in x 2.973 * [backup-simplify]: Simplify 2 into 2 2.973 * [taylor]: Taking taylor expansion of (* x y) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.973 * [taylor]: Taking taylor expansion of 2 in x 2.973 * [backup-simplify]: Simplify 2 into 2 2.973 * [taylor]: Taking taylor expansion of (* x y) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.973 * [backup-simplify]: Simplify (* 0 y) into 0 2.974 * [backup-simplify]: Simplify (* 2 0) into 0 2.974 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.974 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.974 * [taylor]: Taking taylor expansion of y in y 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.975 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.975 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.975 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.975 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.975 * [taylor]: Taking taylor expansion of 2 in y 2.975 * [backup-simplify]: Simplify 2 into 2 2.975 * [taylor]: Taking taylor expansion of y in y 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (* 2 0) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (* 1 1) into 1 2.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (+ 1 0) into 1 2.977 * [taylor]: Taking taylor expansion of 1 in y 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.977 * [backup-simplify]: Simplify 2 into 2 2.978 * [backup-simplify]: Simplify (* 1 1) into 1 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.978 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.978 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.978 * [taylor]: Taking taylor expansion of x in y 2.978 * [backup-simplify]: Simplify x into x 2.979 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.979 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.979 * [taylor]: Taking taylor expansion of y in y 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.979 * [taylor]: Taking taylor expansion of 2 in y 2.979 * [backup-simplify]: Simplify 2 into 2 2.979 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.979 * [taylor]: Taking taylor expansion of (* x y) in y 2.979 * [taylor]: Taking taylor expansion of x in y 2.979 * [backup-simplify]: Simplify x into x 2.979 * [taylor]: Taking taylor expansion of y in y 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* x 0) into 0 2.980 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.980 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.980 * [taylor]: Taking taylor expansion of x in x 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.980 * [taylor]: Taking taylor expansion of y in x 2.980 * [backup-simplify]: Simplify y into y 2.980 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.981 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.981 * [taylor]: Taking taylor expansion of 2 in x 2.981 * [backup-simplify]: Simplify 2 into 2 2.981 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.981 * [taylor]: Taking taylor expansion of (* x y) in x 2.981 * [taylor]: Taking taylor expansion of x in x 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [taylor]: Taking taylor expansion of y in x 2.981 * [backup-simplify]: Simplify y into y 2.981 * [backup-simplify]: Simplify (* 0 y) into 0 2.981 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.981 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.981 * [taylor]: Taking taylor expansion of x in x 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (* 1 1) into 1 2.982 * [backup-simplify]: Simplify (/ 1 1) into 1 2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.982 * [taylor]: Taking taylor expansion of y in x 2.982 * [backup-simplify]: Simplify y into y 2.982 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.982 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.982 * [taylor]: Taking taylor expansion of 2 in x 2.982 * [backup-simplify]: Simplify 2 into 2 2.982 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.982 * [taylor]: Taking taylor expansion of (* x y) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [taylor]: Taking taylor expansion of y in x 2.982 * [backup-simplify]: Simplify y into y 2.982 * [backup-simplify]: Simplify (* 0 y) into 0 2.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.982 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.983 * [backup-simplify]: Simplify (+ 1 0) into 1 2.983 * [taylor]: Taking taylor expansion of 1 in y 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.984 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.984 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.984 * [taylor]: Taking taylor expansion of 2 in y 2.984 * [backup-simplify]: Simplify 2 into 2 2.984 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.984 * [taylor]: Taking taylor expansion of y in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.988 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.988 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.988 * [taylor]: Taking taylor expansion of y in y 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (* 1 1) into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (* 2 1) into 2 2.989 * [backup-simplify]: Simplify 2 into 2 2.989 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.990 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.990 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.990 * [taylor]: Taking taylor expansion of x in y 2.990 * [backup-simplify]: Simplify x into x 2.991 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.991 * [taylor]: Taking taylor expansion of y in y 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (* 1 1) into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.992 * [taylor]: Taking taylor expansion of 2 in y 2.992 * [backup-simplify]: Simplify 2 into 2 2.992 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.992 * [taylor]: Taking taylor expansion of (* x y) in y 2.992 * [taylor]: Taking taylor expansion of x in y 2.992 * [backup-simplify]: Simplify x into x 2.992 * [taylor]: Taking taylor expansion of y in y 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (* x 0) into 0 2.992 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.992 * [taylor]: Taking taylor expansion of x in x 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (* 1 1) into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.993 * [taylor]: Taking taylor expansion of y in x 2.993 * [backup-simplify]: Simplify y into y 2.993 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.993 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.993 * [taylor]: Taking taylor expansion of 2 in x 2.993 * [backup-simplify]: Simplify 2 into 2 2.993 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.993 * [taylor]: Taking taylor expansion of (* x y) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [taylor]: Taking taylor expansion of y in x 2.993 * [backup-simplify]: Simplify y into y 2.993 * [backup-simplify]: Simplify (* 0 y) into 0 2.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.994 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.994 * [taylor]: Taking taylor expansion of 2 in x 2.994 * [backup-simplify]: Simplify 2 into 2 2.994 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.994 * [taylor]: Taking taylor expansion of (* x y) in x 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [taylor]: Taking taylor expansion of y in x 2.995 * [backup-simplify]: Simplify y into y 2.995 * [backup-simplify]: Simplify (* 0 y) into 0 2.995 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.995 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.995 * [backup-simplify]: Simplify (+ 1 0) into 1 2.995 * [taylor]: Taking taylor expansion of 1 in y 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.996 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.996 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.996 * [taylor]: Taking taylor expansion of 2 in y 2.996 * [backup-simplify]: Simplify 2 into 2 2.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.996 * [taylor]: Taking taylor expansion of y in y 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.999 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.999 * [taylor]: Taking taylor expansion of y in y 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (* 2 1) into 2 3.000 * [backup-simplify]: Simplify 2 into 2 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.000 * * * [progress]: simplifying candidates 3.001 * [simplify]: Simplifying: (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.002 * * [simplify]: Extracting # 0 : cost 0 3.002 * * [simplify]: Extracting # 1 : cost 0 3.003 * * [simplify]: Extracting # 2 : cost 0 3.003 * * [simplify]: Extracting # 3 : cost 0 3.003 * * [simplify]: Extracting # 4 : cost 0 3.003 * * [simplify]: Extracting # 5 : cost 0 3.004 * * [simplify]: Extracting # 6 : cost 0 3.004 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 3.053 * * [simplify]: Extracting # 0 : cost 0 3.053 * * [simplify]: Extracting # 1 : cost 0 3.054 * * [simplify]: Extracting # 2 : cost 0 3.054 * * [simplify]: Extracting # 3 : cost 0 3.055 * * [simplify]: Extracting # 4 : cost 0 3.055 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 3.254 * * [simplify]: Extracting # 0 : cost 0 3.256 * * [simplify]: Extracting # 1 : cost 0 3.258 * * [simplify]: Extracting # 2 : cost 0 3.259 * * [simplify]: Extracting # 3 : cost 0 3.261 * * [simplify]: Extracting # 4 : cost 0 3.263 * * [simplify]: iteration 2 : 1097 enodes (cost 636 ) 4.734 * * [simplify]: Extracting # 0 : cost 0 4.742 * * [simplify]: Extracting # 1 : cost 0 4.750 * * [simplify]: Extracting # 2 : cost 0 4.757 * * [simplify]: Extracting # 3 : cost 0 4.764 * * [simplify]: Extracting # 4 : cost 0 4.771 * * [simplify]: iteration 3 : 4979 enodes (cost 610 ) 6.499 * * [simplify]: Extracting # 0 : cost 0 6.506 * * [simplify]: Extracting # 1 : cost 0 6.516 * * [simplify]: Extracting # 2 : cost 0 6.521 * * [simplify]: Extracting # 3 : cost 0 6.525 * * [simplify]: iteration done: 5000 enodes (cost 610 ) 6.526 * [simplify]: Simplified to: (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ x y) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (+ x y))) (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (- (* x x) (* y y))) y)) (* (- x y) (+ (* y (- y x)) (* x x))) (+ (* (- x y) (* (+ (pow x 3) (pow y 3)) y)) (* (* (- (* x x) (* y y)) x) (+ (* y (- y x)) (* x x)))) (* (- x y) (+ (* y (- y x)) (* x x))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* y (* (+ x y) (- y x))) (* (+ x y) (* x x)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) x) (* (+ x y) x) (* (+ x y) x) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 6.526 * * * [progress]: adding candidates to table 6.667 * * [progress]: iteration 3 / 4 6.667 * * * [progress]: picking best candidate 6.668 * * * * [pick]: Picked # 6.668 * * * [progress]: localizing error 6.675 * * * [progress]: generating rewritten candidates 6.675 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 6.984 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.994 * * * [progress]: generating series expansions 6.994 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.994 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 6.994 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 6.994 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 6.994 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 6.994 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.994 * [taylor]: Taking taylor expansion of 2 in x 6.994 * [backup-simplify]: Simplify 2 into 2 6.994 * [taylor]: Taking taylor expansion of x in x 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [taylor]: Taking taylor expansion of y in x 6.994 * [backup-simplify]: Simplify y into y 6.994 * [taylor]: Taking taylor expansion of y in x 6.994 * [backup-simplify]: Simplify y into y 6.995 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.995 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.995 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.995 * [taylor]: Taking taylor expansion of 2 in y 6.995 * [backup-simplify]: Simplify 2 into 2 6.995 * [taylor]: Taking taylor expansion of x in y 6.995 * [backup-simplify]: Simplify x into x 6.995 * [taylor]: Taking taylor expansion of y in y 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.995 * [taylor]: Taking taylor expansion of y in y 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.995 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 6.995 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 6.995 * [taylor]: Taking taylor expansion of (* 2 x) in y 6.995 * [taylor]: Taking taylor expansion of 2 in y 6.995 * [backup-simplify]: Simplify 2 into 2 6.995 * [taylor]: Taking taylor expansion of x in y 6.995 * [backup-simplify]: Simplify x into x 6.995 * [taylor]: Taking taylor expansion of y in y 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.995 * [taylor]: Taking taylor expansion of y in y 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.995 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 6.995 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 6.995 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 6.995 * [taylor]: Taking taylor expansion of 0 in x 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 0 into 0 6.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 6.996 * [backup-simplify]: Simplify (+ 0 1) into 1 6.997 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 6.997 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.997 * [taylor]: Taking taylor expansion of 2 in x 6.997 * [backup-simplify]: Simplify 2 into 2 6.997 * [taylor]: Taking taylor expansion of x in x 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.997 * [backup-simplify]: Simplify (* 2 0) into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 6.998 * [backup-simplify]: Simplify (+ 0 0) into 0 6.998 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 6.998 * [taylor]: Taking taylor expansion of 1 in x 6.998 * [backup-simplify]: Simplify 1 into 1 6.998 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.999 * [backup-simplify]: Simplify 2 into 2 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.000 * [backup-simplify]: Simplify (+ 0 0) into 0 7.000 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.000 * [taylor]: Taking taylor expansion of 0 in x 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.002 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.003 * [taylor]: Taking taylor expansion of 0 in x 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 7.003 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 7.003 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 7.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 7.003 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 7.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.003 * [taylor]: Taking taylor expansion of y in x 7.003 * [backup-simplify]: Simplify y into y 7.003 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 7.003 * [taylor]: Taking taylor expansion of 2 in x 7.003 * [backup-simplify]: Simplify 2 into 2 7.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.003 * [taylor]: Taking taylor expansion of x in x 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify 1 into 1 7.003 * [backup-simplify]: Simplify (/ 1 1) into 1 7.003 * [taylor]: Taking taylor expansion of y in x 7.003 * [backup-simplify]: Simplify y into y 7.004 * [backup-simplify]: Simplify (* 2 1) into 2 7.004 * [backup-simplify]: Simplify (+ 0 2) into 2 7.004 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 7.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 7.004 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 7.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.004 * [taylor]: Taking taylor expansion of y in y 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (/ 1 1) into 1 7.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 7.004 * [taylor]: Taking taylor expansion of 2 in y 7.004 * [backup-simplify]: Simplify 2 into 2 7.004 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.004 * [taylor]: Taking taylor expansion of x in y 7.004 * [backup-simplify]: Simplify x into x 7.005 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.005 * [taylor]: Taking taylor expansion of y in y 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (+ 1 0) into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 7.005 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 7.005 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.005 * [taylor]: Taking taylor expansion of y in y 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 7.005 * [taylor]: Taking taylor expansion of 2 in y 7.005 * [backup-simplify]: Simplify 2 into 2 7.006 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.006 * [taylor]: Taking taylor expansion of x in y 7.006 * [backup-simplify]: Simplify x into x 7.006 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.006 * [taylor]: Taking taylor expansion of y in y 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (+ 1 0) into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [taylor]: Taking taylor expansion of 1 in x 7.006 * [backup-simplify]: Simplify 1 into 1 7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 7.007 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 7.008 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 7.008 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 7.008 * [taylor]: Taking taylor expansion of 2 in x 7.008 * [backup-simplify]: Simplify 2 into 2 7.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.008 * [taylor]: Taking taylor expansion of x in x 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (/ 1 1) into 1 7.008 * [backup-simplify]: Simplify (* 2 1) into 2 7.008 * [backup-simplify]: Simplify 2 into 2 7.008 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.009 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 7.009 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 7.010 * [taylor]: Taking taylor expansion of 0 in x 7.010 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.012 * [backup-simplify]: Simplify (+ 0 0) into 0 7.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [taylor]: Taking taylor expansion of 0 in x 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.018 * [taylor]: Taking taylor expansion of 0 in x 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 7.019 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 7.019 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 7.019 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 7.019 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 7.019 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.019 * [taylor]: Taking taylor expansion of y in x 7.019 * [backup-simplify]: Simplify y into y 7.019 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 7.019 * [taylor]: Taking taylor expansion of 2 in x 7.019 * [backup-simplify]: Simplify 2 into 2 7.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.019 * [taylor]: Taking taylor expansion of x in x 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify (/ 1 1) into 1 7.019 * [taylor]: Taking taylor expansion of y in x 7.019 * [backup-simplify]: Simplify y into y 7.020 * [backup-simplify]: Simplify (* 2 1) into 2 7.020 * [backup-simplify]: Simplify (+ 0 2) into 2 7.020 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 7.020 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 7.020 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 7.020 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.020 * [taylor]: Taking taylor expansion of y in y 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify 1 into 1 7.020 * [backup-simplify]: Simplify (/ 1 1) into 1 7.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 7.020 * [taylor]: Taking taylor expansion of 2 in y 7.020 * [backup-simplify]: Simplify 2 into 2 7.020 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.020 * [taylor]: Taking taylor expansion of x in y 7.020 * [backup-simplify]: Simplify x into x 7.020 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.020 * [taylor]: Taking taylor expansion of y in y 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify 1 into 1 7.021 * [backup-simplify]: Simplify (+ 1 0) into 1 7.021 * [backup-simplify]: Simplify (/ 1 1) into 1 7.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 7.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 7.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.021 * [taylor]: Taking taylor expansion of y in y 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 1 into 1 7.021 * [backup-simplify]: Simplify (/ 1 1) into 1 7.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 7.021 * [taylor]: Taking taylor expansion of 2 in y 7.021 * [backup-simplify]: Simplify 2 into 2 7.021 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.021 * [taylor]: Taking taylor expansion of x in y 7.021 * [backup-simplify]: Simplify x into x 7.021 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.021 * [taylor]: Taking taylor expansion of y in y 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (+ 1 0) into 1 7.022 * [backup-simplify]: Simplify (/ 1 1) into 1 7.022 * [taylor]: Taking taylor expansion of 1 in x 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.022 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 7.023 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 7.023 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 7.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 7.023 * [taylor]: Taking taylor expansion of 2 in x 7.023 * [backup-simplify]: Simplify 2 into 2 7.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.023 * [taylor]: Taking taylor expansion of x in x 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [backup-simplify]: Simplify (* 2 1) into 2 7.024 * [backup-simplify]: Simplify 2 into 2 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 7.025 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 7.026 * [taylor]: Taking taylor expansion of 0 in x 7.026 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.028 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.030 * [backup-simplify]: Simplify (+ 0 0) into 0 7.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.031 * [taylor]: Taking taylor expansion of 0 in x 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.036 * [backup-simplify]: Simplify (+ 0 0) into 0 7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.038 * [taylor]: Taking taylor expansion of 0 in x 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 7.038 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.039 * [backup-simplify]: Simplify (+ (* x x) (* y (+ (* 2 x) y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 7.039 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 7.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 7.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.039 * [taylor]: Taking taylor expansion of x in y 7.039 * [backup-simplify]: Simplify x into x 7.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 7.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.039 * [taylor]: Taking taylor expansion of y in y 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 7.039 * [taylor]: Taking taylor expansion of 2 in y 7.039 * [backup-simplify]: Simplify 2 into 2 7.039 * [taylor]: Taking taylor expansion of (* x y) in y 7.039 * [taylor]: Taking taylor expansion of x in y 7.039 * [backup-simplify]: Simplify x into x 7.039 * [taylor]: Taking taylor expansion of y in y 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 7.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.039 * [taylor]: Taking taylor expansion of x in x 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 7.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.039 * [taylor]: Taking taylor expansion of y in x 7.039 * [backup-simplify]: Simplify y into y 7.039 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 7.039 * [taylor]: Taking taylor expansion of 2 in x 7.039 * [backup-simplify]: Simplify 2 into 2 7.039 * [taylor]: Taking taylor expansion of (* x y) in x 7.039 * [taylor]: Taking taylor expansion of x in x 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [taylor]: Taking taylor expansion of y in x 7.040 * [backup-simplify]: Simplify y into y 7.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 7.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.040 * [taylor]: Taking taylor expansion of x in x 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 7.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.040 * [taylor]: Taking taylor expansion of y in x 7.040 * [backup-simplify]: Simplify y into y 7.040 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 7.040 * [taylor]: Taking taylor expansion of 2 in x 7.040 * [backup-simplify]: Simplify 2 into 2 7.040 * [taylor]: Taking taylor expansion of (* x y) in x 7.040 * [taylor]: Taking taylor expansion of x in x 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [taylor]: Taking taylor expansion of y in x 7.040 * [backup-simplify]: Simplify y into y 7.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.040 * [backup-simplify]: Simplify (* 0 y) into 0 7.041 * [backup-simplify]: Simplify (* 2 0) into 0 7.041 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.041 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.041 * [taylor]: Taking taylor expansion of y in y 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.042 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 7.042 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 7.042 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 7.042 * [taylor]: Taking taylor expansion of (* 2 y) in y 7.042 * [taylor]: Taking taylor expansion of 2 in y 7.042 * [backup-simplify]: Simplify 2 into 2 7.042 * [taylor]: Taking taylor expansion of y in y 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (* 2 0) into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify (* 1 1) into 1 7.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 7.045 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (+ 1 0) into 1 7.045 * [taylor]: Taking taylor expansion of 1 in y 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [backup-simplify]: Simplify 1 into 1 7.046 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 7.046 * [backup-simplify]: Simplify 2 into 2 7.046 * [backup-simplify]: Simplify (* 1 1) into 1 7.046 * [backup-simplify]: Simplify 1 into 1 7.047 * [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)))) 7.047 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 7.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.048 * [taylor]: Taking taylor expansion of x in y 7.048 * [backup-simplify]: Simplify x into x 7.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.048 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.048 * [taylor]: Taking taylor expansion of y in y 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.048 * [backup-simplify]: Simplify (* 1 1) into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 7.049 * [taylor]: Taking taylor expansion of 2 in y 7.049 * [backup-simplify]: Simplify 2 into 2 7.049 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 7.049 * [taylor]: Taking taylor expansion of (* x y) in y 7.049 * [taylor]: Taking taylor expansion of x in y 7.049 * [backup-simplify]: Simplify x into x 7.049 * [taylor]: Taking taylor expansion of y in y 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (* x 0) into 0 7.049 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.049 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 7.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.050 * [taylor]: Taking taylor expansion of x in x 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify 1 into 1 7.050 * [backup-simplify]: Simplify (* 1 1) into 1 7.050 * [backup-simplify]: Simplify (/ 1 1) into 1 7.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 7.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.050 * [taylor]: Taking taylor expansion of y in x 7.050 * [backup-simplify]: Simplify y into y 7.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 7.051 * [taylor]: Taking taylor expansion of 2 in x 7.051 * [backup-simplify]: Simplify 2 into 2 7.051 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.051 * [taylor]: Taking taylor expansion of (* x y) in x 7.051 * [taylor]: Taking taylor expansion of x in x 7.051 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify 1 into 1 7.051 * [taylor]: Taking taylor expansion of y in x 7.051 * [backup-simplify]: Simplify y into y 7.051 * [backup-simplify]: Simplify (* 0 y) into 0 7.051 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.052 * [taylor]: Taking taylor expansion of x in x 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify 1 into 1 7.052 * [backup-simplify]: Simplify (* 1 1) into 1 7.052 * [backup-simplify]: Simplify (/ 1 1) into 1 7.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.053 * [taylor]: Taking taylor expansion of y in x 7.053 * [backup-simplify]: Simplify y into y 7.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 7.053 * [taylor]: Taking taylor expansion of 2 in x 7.053 * [backup-simplify]: Simplify 2 into 2 7.053 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.053 * [taylor]: Taking taylor expansion of (* x y) in x 7.053 * [taylor]: Taking taylor expansion of x in x 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.053 * [taylor]: Taking taylor expansion of y in x 7.053 * [backup-simplify]: Simplify y into y 7.053 * [backup-simplify]: Simplify (* 0 y) into 0 7.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.054 * [backup-simplify]: Simplify (+ 1 0) into 1 7.054 * [taylor]: Taking taylor expansion of 1 in y 7.054 * [backup-simplify]: Simplify 1 into 1 7.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 7.056 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 7.056 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 7.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 7.056 * [taylor]: Taking taylor expansion of 2 in y 7.056 * [backup-simplify]: Simplify 2 into 2 7.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.056 * [taylor]: Taking taylor expansion of y in y 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (/ 1 1) into 1 7.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.060 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 7.060 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.060 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.060 * [taylor]: Taking taylor expansion of y in y 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (* 1 1) into 1 7.061 * [backup-simplify]: Simplify (/ 1 1) into 1 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (* 2 1) into 2 7.061 * [backup-simplify]: Simplify 2 into 2 7.061 * [backup-simplify]: Simplify 1 into 1 7.062 * [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)))) 7.062 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 7.062 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 7.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 7.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.063 * [taylor]: Taking taylor expansion of x in y 7.063 * [backup-simplify]: Simplify x into x 7.063 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.063 * [taylor]: Taking taylor expansion of y in y 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.063 * [backup-simplify]: Simplify (* 1 1) into 1 7.064 * [backup-simplify]: Simplify (/ 1 1) into 1 7.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 7.064 * [taylor]: Taking taylor expansion of 2 in y 7.064 * [backup-simplify]: Simplify 2 into 2 7.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 7.064 * [taylor]: Taking taylor expansion of (* x y) in y 7.064 * [taylor]: Taking taylor expansion of x in y 7.064 * [backup-simplify]: Simplify x into x 7.064 * [taylor]: Taking taylor expansion of y in y 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [backup-simplify]: Simplify (* x 0) into 0 7.064 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.064 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 7.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.064 * [taylor]: Taking taylor expansion of x in x 7.064 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (* 1 1) into 1 7.065 * [backup-simplify]: Simplify (/ 1 1) into 1 7.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 7.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.065 * [taylor]: Taking taylor expansion of y in x 7.065 * [backup-simplify]: Simplify y into y 7.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 7.066 * [taylor]: Taking taylor expansion of 2 in x 7.066 * [backup-simplify]: Simplify 2 into 2 7.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.066 * [taylor]: Taking taylor expansion of (* x y) in x 7.066 * [taylor]: Taking taylor expansion of x in x 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 1 into 1 7.066 * [taylor]: Taking taylor expansion of y in x 7.066 * [backup-simplify]: Simplify y into y 7.066 * [backup-simplify]: Simplify (* 0 y) into 0 7.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.066 * [taylor]: Taking taylor expansion of x in x 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 1 into 1 7.066 * [backup-simplify]: Simplify (* 1 1) into 1 7.068 * [backup-simplify]: Simplify (/ 1 1) into 1 7.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.068 * [taylor]: Taking taylor expansion of y in x 7.068 * [backup-simplify]: Simplify y into y 7.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 7.068 * [taylor]: Taking taylor expansion of 2 in x 7.068 * [backup-simplify]: Simplify 2 into 2 7.068 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.068 * [taylor]: Taking taylor expansion of (* x y) in x 7.068 * [taylor]: Taking taylor expansion of x in x 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [taylor]: Taking taylor expansion of y in x 7.068 * [backup-simplify]: Simplify y into y 7.068 * [backup-simplify]: Simplify (* 0 y) into 0 7.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.069 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.069 * [backup-simplify]: Simplify (+ 1 0) into 1 7.069 * [taylor]: Taking taylor expansion of 1 in y 7.069 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 7.071 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 7.071 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 7.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 7.071 * [taylor]: Taking taylor expansion of 2 in y 7.071 * [backup-simplify]: Simplify 2 into 2 7.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.071 * [taylor]: Taking taylor expansion of y in y 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ 1 1) into 1 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 7.074 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.075 * [taylor]: Taking taylor expansion of y in y 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 1 into 1 7.075 * [backup-simplify]: Simplify (* 1 1) into 1 7.075 * [backup-simplify]: Simplify (/ 1 1) into 1 7.075 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (* 2 1) into 2 7.076 * [backup-simplify]: Simplify 2 into 2 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [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)))) 7.076 * * * [progress]: simplifying candidates 7.078 * [simplify]: Simplifying: (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* x x)) (exp (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (* (* (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y)))) (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* y (+ (* 2 x) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (* 2 x))) (+ (* x x) (* (* 2 x) y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 7.079 * * [simplify]: Extracting # 0 : cost 0 7.079 * * [simplify]: Extracting # 1 : cost 0 7.079 * * [simplify]: Extracting # 2 : cost 0 7.079 * * [simplify]: Extracting # 3 : cost 0 7.080 * * [simplify]: Extracting # 4 : cost 0 7.080 * * [simplify]: Extracting # 5 : cost 0 7.080 * * [simplify]: Extracting # 6 : cost 0 7.080 * * [simplify]: Extracting # 7 : cost 0 7.080 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 7.114 * * [simplify]: Extracting # 0 : cost 0 7.115 * * [simplify]: Extracting # 1 : cost 0 7.115 * * [simplify]: Extracting # 2 : cost 0 7.115 * * [simplify]: Extracting # 3 : cost 0 7.115 * * [simplify]: Extracting # 4 : cost 0 7.116 * * [simplify]: iteration 1 : 220 enodes (cost 485 ) 7.242 * * [simplify]: Extracting # 0 : cost 0 7.243 * * [simplify]: Extracting # 1 : cost 0 7.243 * * [simplify]: Extracting # 2 : cost 0 7.244 * * [simplify]: Extracting # 3 : cost 0 7.245 * * [simplify]: Extracting # 4 : cost 0 7.246 * * [simplify]: iteration 2 : 767 enodes (cost 437 ) 8.112 * * [simplify]: Extracting # 0 : cost 0 8.120 * * [simplify]: Extracting # 1 : cost 0 8.124 * * [simplify]: Extracting # 2 : cost 0 8.129 * * [simplify]: Extracting # 3 : cost 0 8.134 * * [simplify]: Extracting # 4 : cost 0 8.140 * * [simplify]: iteration 3 : 3631 enodes (cost 437 ) 9.740 * * [simplify]: Extracting # 0 : cost 0 9.749 * * [simplify]: Extracting # 1 : cost 0 9.758 * * [simplify]: Extracting # 2 : cost 0 9.765 * * [simplify]: Extracting # 3 : cost 0 9.773 * * [simplify]: Extracting # 4 : cost 0 9.782 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 9.782 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (log (* (+ (* 2 x) y) y)) (log (* (+ (* 2 x) y) y)) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (log (+ (* x x) (* y (+ (* 2 x) y)))) (exp (+ (* x x) (* y (+ (* 2 x) y)))) (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y))))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (pow (+ (pow x 2) (* y (+ (* 2 x) y))) 3) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (sqrt (+ (* x x) (* y (+ (* 2 x) y)))) (+ (pow x 6) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (* (+ (* 2 x) y) y) (- (* (+ (* 2 x) y) y) (* x x))) (pow x 4)) (- (pow x 4) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (* x x) (* y (+ (* 2 x) y))) (* x (+ x (* y 2))) (* x (+ x (* y 2))) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (pow x 2) (* y (+ (* 2 x) y))) (+ (pow x 2) (* y (+ (* 2 x) y))) (+ (pow x 2) (* y (+ (* 2 x) y))) 9.783 * * * [progress]: adding candidates to table 9.904 * [progress]: [Phase 3 of 3] Extracting. 9.904 * * [regime]: Finding splitpoints for: (# #) 9.905 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.905 * * * * [regimes]: Trying to branch on y from (# #) 9.921 * * * * [regimes]: Trying to branch on x from (# #) 9.938 * * * [regime]: Found split indices: #