69.358 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: Extracting # 3 : cost 0 0.037 * * [simplify]: Extracting # 4 : cost 0 0.037 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: Extracting # 1 : cost 0 0.043 * * [simplify]: Extracting # 2 : cost 0 0.043 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.072 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: Extracting # 2 : cost 0 0.072 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.143 * * [simplify]: Extracting # 0 : cost 0 0.143 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.144 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.144 * * [progress]: iteration 1 / 4 0.144 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.202 * * * [progress]: generating series expansions 0.202 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.202 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.202 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.202 * [taylor]: Taking taylor expansion of (+ x y) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [backup-simplify]: Simplify x into x 0.202 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ x 0) into x 0.203 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.203 * [taylor]: Taking taylor expansion of (+ x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (+ 0 y) into y 0.203 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.203 * [taylor]: Taking taylor expansion of (+ x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (+ 0 y) into y 0.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.204 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.204 * [taylor]: Taking taylor expansion of 2 in y 0.204 * [backup-simplify]: Simplify 2 into 2 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 2 0) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.205 * [backup-simplify]: Simplify 2 into 2 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [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)))) 0.206 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.206 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [backup-simplify]: Simplify x into x 0.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [backup-simplify]: Simplify y into y 0.207 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ 0 1) into 1 0.207 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [backup-simplify]: Simplify y into y 0.208 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.209 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [backup-simplify]: Simplify 2 into 2 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 2 1) into 2 0.212 * [backup-simplify]: Simplify 2 into 2 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [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)))) 0.212 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.212 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [backup-simplify]: Simplify y into y 0.213 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.216 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.216 * [taylor]: Taking taylor expansion of 2 in y 0.216 * [backup-simplify]: Simplify 2 into 2 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 2 1) into 2 0.218 * [backup-simplify]: Simplify 2 into 2 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [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)))) 0.219 * * * [progress]: simplifying candidates 0.219 * [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)))) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: Extracting # 1 : cost 0 0.220 * * [simplify]: Extracting # 2 : cost 0 0.221 * * [simplify]: Extracting # 3 : cost 0 0.221 * * [simplify]: Extracting # 4 : cost 0 0.221 * * [simplify]: Extracting # 5 : cost 0 0.221 * * [simplify]: Extracting # 6 : cost 0 0.221 * * [simplify]: Extracting # 7 : cost 0 0.221 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.253 * * [simplify]: Extracting # 0 : cost 0 0.254 * * [simplify]: Extracting # 1 : cost 0 0.254 * * [simplify]: Extracting # 2 : cost 0 0.254 * * [simplify]: Extracting # 3 : cost 0 0.254 * * [simplify]: Extracting # 4 : cost 0 0.254 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.352 * * [simplify]: Extracting # 0 : cost 0 0.353 * * [simplify]: Extracting # 1 : cost 0 0.354 * * [simplify]: Extracting # 2 : cost 0 0.355 * * [simplify]: Extracting # 3 : cost 0 0.356 * * [simplify]: Extracting # 4 : cost 0 0.356 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.373 * * [simplify]: Extracting # 0 : cost 0 1.379 * * [simplify]: Extracting # 1 : cost 0 1.382 * * [simplify]: Extracting # 2 : cost 0 1.388 * * [simplify]: Extracting # 3 : cost 0 1.392 * * [simplify]: Extracting # 4 : cost 0 1.395 * * [simplify]: Extracting # 5 : cost 0 1.398 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.880 * * [simplify]: Extracting # 0 : cost 0 2.891 * * [simplify]: Extracting # 1 : cost 0 2.901 * * [simplify]: Extracting # 2 : cost 0 2.910 * * [simplify]: Extracting # 3 : cost 0 2.917 * * [simplify]: Extracting # 4 : cost 0 2.922 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.923 * [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)) 2.923 * * * [progress]: adding candidates to table 3.012 * * [progress]: iteration 2 / 4 3.012 * * * [progress]: picking best candidate 3.015 * * * * [pick]: Picked # 3.015 * * * [progress]: localizing error 3.023 * * * [progress]: generating rewritten candidates 3.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.072 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.091 * * * [progress]: generating series expansions 3.091 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.091 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 3.091 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 3.091 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 3.091 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.091 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.091 * [taylor]: Taking taylor expansion of 2 in x 3.091 * [backup-simplify]: Simplify 2 into 2 3.091 * [taylor]: Taking taylor expansion of x in x 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [taylor]: Taking taylor expansion of y in x 3.091 * [backup-simplify]: Simplify y into y 3.091 * [taylor]: Taking taylor expansion of y in x 3.091 * [backup-simplify]: Simplify y into y 3.091 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.091 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.091 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.091 * [taylor]: Taking taylor expansion of 2 in y 3.091 * [backup-simplify]: Simplify 2 into 2 3.091 * [taylor]: Taking taylor expansion of x in y 3.091 * [backup-simplify]: Simplify x into x 3.091 * [taylor]: Taking taylor expansion of y in y 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [taylor]: Taking taylor expansion of y in y 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.091 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.091 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.091 * [taylor]: Taking taylor expansion of 2 in y 3.091 * [backup-simplify]: Simplify 2 into 2 3.091 * [taylor]: Taking taylor expansion of x in y 3.092 * [backup-simplify]: Simplify x into x 3.092 * [taylor]: Taking taylor expansion of y in y 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [taylor]: Taking taylor expansion of y in y 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.092 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.092 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 3.092 * [taylor]: Taking taylor expansion of 0 in x 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 3.093 * [backup-simplify]: Simplify (+ 0 1) into 1 3.093 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 3.093 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.093 * [taylor]: Taking taylor expansion of 2 in x 3.093 * [backup-simplify]: Simplify 2 into 2 3.093 * [taylor]: Taking taylor expansion of x in x 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (* 2 0) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 3.095 * [taylor]: Taking taylor expansion of 1 in x 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.095 * [backup-simplify]: Simplify 2 into 2 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.097 * [taylor]: Taking taylor expansion of 0 in x 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.099 * [taylor]: Taking taylor expansion of 0 in x 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 3.100 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.100 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.100 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.100 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.100 * [taylor]: Taking taylor expansion of y in x 3.100 * [backup-simplify]: Simplify y into y 3.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.100 * [taylor]: Taking taylor expansion of 2 in x 3.100 * [backup-simplify]: Simplify 2 into 2 3.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.100 * [taylor]: Taking taylor expansion of x in x 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [taylor]: Taking taylor expansion of y in x 3.100 * [backup-simplify]: Simplify y into y 3.101 * [backup-simplify]: Simplify (* 2 1) into 2 3.101 * [backup-simplify]: Simplify (+ 0 2) into 2 3.101 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.101 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.101 * [taylor]: Taking taylor expansion of y in y 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.101 * [taylor]: Taking taylor expansion of 2 in y 3.101 * [backup-simplify]: Simplify 2 into 2 3.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.101 * [taylor]: Taking taylor expansion of x in y 3.101 * [backup-simplify]: Simplify x into x 3.101 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.101 * [taylor]: Taking taylor expansion of y in y 3.101 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (+ 1 0) into 1 3.102 * [backup-simplify]: Simplify (/ 1 1) into 1 3.102 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.102 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.103 * [taylor]: Taking taylor expansion of y in y 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.103 * [taylor]: Taking taylor expansion of 2 in y 3.103 * [backup-simplify]: Simplify 2 into 2 3.103 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.103 * [taylor]: Taking taylor expansion of x in y 3.103 * [backup-simplify]: Simplify x into x 3.103 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.103 * [taylor]: Taking taylor expansion of y in y 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (+ 1 0) into 1 3.104 * [backup-simplify]: Simplify (/ 1 1) into 1 3.104 * [taylor]: Taking taylor expansion of 1 in x 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.105 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.106 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.106 * [taylor]: Taking taylor expansion of 2 in x 3.106 * [backup-simplify]: Simplify 2 into 2 3.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [backup-simplify]: Simplify (* 2 1) into 2 3.107 * [backup-simplify]: Simplify 2 into 2 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.108 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.110 * [taylor]: Taking taylor expansion of 0 in x 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [taylor]: Taking taylor expansion of 0 in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.120 * [taylor]: Taking taylor expansion of 0 in x 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 3.121 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.121 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.121 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.121 * [taylor]: Taking taylor expansion of y in x 3.121 * [backup-simplify]: Simplify y into y 3.121 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.121 * [taylor]: Taking taylor expansion of 2 in x 3.121 * [backup-simplify]: Simplify 2 into 2 3.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.121 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (/ 1 1) into 1 3.122 * [taylor]: Taking taylor expansion of y in x 3.122 * [backup-simplify]: Simplify y into y 3.122 * [backup-simplify]: Simplify (* 2 1) into 2 3.122 * [backup-simplify]: Simplify (+ 0 2) into 2 3.122 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.123 * [taylor]: Taking taylor expansion of y in y 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.123 * [taylor]: Taking taylor expansion of 2 in y 3.123 * [backup-simplify]: Simplify 2 into 2 3.123 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.123 * [taylor]: Taking taylor expansion of x in y 3.123 * [backup-simplify]: Simplify x into x 3.123 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.123 * [taylor]: Taking taylor expansion of y in y 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (+ 1 0) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.124 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.124 * [taylor]: Taking taylor expansion of y in y 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.124 * [taylor]: Taking taylor expansion of 2 in y 3.124 * [backup-simplify]: Simplify 2 into 2 3.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.124 * [taylor]: Taking taylor expansion of x in y 3.124 * [backup-simplify]: Simplify x into x 3.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.124 * [taylor]: Taking taylor expansion of y in y 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.125 * [backup-simplify]: Simplify (/ 1 1) into 1 3.125 * [taylor]: Taking taylor expansion of 1 in x 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.125 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.126 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.126 * [taylor]: Taking taylor expansion of 2 in x 3.126 * [backup-simplify]: Simplify 2 into 2 3.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.126 * [taylor]: Taking taylor expansion of x in x 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [backup-simplify]: Simplify (* 2 1) into 2 3.126 * [backup-simplify]: Simplify 2 into 2 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.131 * [taylor]: Taking taylor expansion of 0 in x 3.131 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [taylor]: Taking taylor expansion of 0 in x 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.139 * [taylor]: Taking taylor expansion of 0 in x 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 3.139 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.140 * [backup-simplify]: Simplify (+ (* y (+ (* 2 x) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.140 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 3.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.140 * [taylor]: Taking taylor expansion of y in x 3.140 * [backup-simplify]: Simplify y into y 3.140 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.140 * [taylor]: Taking taylor expansion of 2 in x 3.140 * [backup-simplify]: Simplify 2 into 2 3.140 * [taylor]: Taking taylor expansion of (* x y) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of y in x 3.140 * [backup-simplify]: Simplify y into y 3.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.140 * [taylor]: Taking taylor expansion of x in y 3.140 * [backup-simplify]: Simplify x into x 3.140 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.140 * [taylor]: Taking taylor expansion of y in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.140 * [taylor]: Taking taylor expansion of 2 in y 3.140 * [backup-simplify]: Simplify 2 into 2 3.140 * [taylor]: Taking taylor expansion of (* x y) in y 3.140 * [taylor]: Taking taylor expansion of x in y 3.140 * [backup-simplify]: Simplify x into x 3.140 * [taylor]: Taking taylor expansion of y in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.140 * [taylor]: Taking taylor expansion of x in y 3.140 * [backup-simplify]: Simplify x into x 3.140 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.140 * [taylor]: Taking taylor expansion of y in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.140 * [taylor]: Taking taylor expansion of 2 in y 3.140 * [backup-simplify]: Simplify 2 into 2 3.140 * [taylor]: Taking taylor expansion of (* x y) in y 3.140 * [taylor]: Taking taylor expansion of x in y 3.140 * [backup-simplify]: Simplify x into x 3.140 * [taylor]: Taking taylor expansion of y in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.141 * [backup-simplify]: Simplify (* x 0) into 0 3.141 * [backup-simplify]: Simplify (* 2 0) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.141 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.141 * [taylor]: Taking taylor expansion of x in x 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.142 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.142 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 3.142 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 3.142 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 3.142 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.142 * [taylor]: Taking taylor expansion of 2 in x 3.142 * [backup-simplify]: Simplify 2 into 2 3.142 * [taylor]: Taking taylor expansion of x in x 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (* 2 0) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.143 * [backup-simplify]: Simplify (* 1 1) into 1 3.143 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 3.144 * [backup-simplify]: Simplify (+ 1 0) into 1 3.144 * [backup-simplify]: Simplify (+ 0 1) into 1 3.144 * [taylor]: Taking taylor expansion of 1 in x 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify 1 into 1 3.145 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.145 * [backup-simplify]: Simplify 2 into 2 3.145 * [backup-simplify]: Simplify (* 1 1) into 1 3.145 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.146 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.146 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.146 * [taylor]: Taking taylor expansion of x in x 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (* 1 1) into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.146 * [taylor]: Taking taylor expansion of y in x 3.146 * [backup-simplify]: Simplify y into y 3.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.147 * [taylor]: Taking taylor expansion of 2 in x 3.147 * [backup-simplify]: Simplify 2 into 2 3.147 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.147 * [taylor]: Taking taylor expansion of (* x y) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of y in x 3.147 * [backup-simplify]: Simplify y into y 3.147 * [backup-simplify]: Simplify (* 0 y) into 0 3.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.147 * [taylor]: Taking taylor expansion of x in y 3.147 * [backup-simplify]: Simplify x into x 3.147 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.147 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.147 * [taylor]: Taking taylor expansion of y in y 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (* 1 1) into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.148 * [taylor]: Taking taylor expansion of 2 in y 3.148 * [backup-simplify]: Simplify 2 into 2 3.148 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.148 * [taylor]: Taking taylor expansion of (* x y) in y 3.148 * [taylor]: Taking taylor expansion of x in y 3.148 * [backup-simplify]: Simplify x into x 3.148 * [taylor]: Taking taylor expansion of y in y 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (* x 0) into 0 3.148 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.148 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.149 * [taylor]: Taking taylor expansion of x in y 3.149 * [backup-simplify]: Simplify x into x 3.149 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.149 * [taylor]: Taking taylor expansion of y in y 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.149 * [taylor]: Taking taylor expansion of 2 in y 3.149 * [backup-simplify]: Simplify 2 into 2 3.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.149 * [taylor]: Taking taylor expansion of (* x y) in y 3.149 * [taylor]: Taking taylor expansion of x in y 3.149 * [backup-simplify]: Simplify x into x 3.149 * [taylor]: Taking taylor expansion of y in y 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (* x 0) into 0 3.150 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.150 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.150 * [backup-simplify]: Simplify (+ 1 0) into 1 3.150 * [backup-simplify]: Simplify (+ 0 1) into 1 3.150 * [taylor]: Taking taylor expansion of 1 in x 3.150 * [backup-simplify]: Simplify 1 into 1 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.151 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.151 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 3.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.152 * [taylor]: Taking taylor expansion of 2 in x 3.152 * [backup-simplify]: Simplify 2 into 2 3.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.152 * [taylor]: Taking taylor expansion of x in x 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.155 * [backup-simplify]: Simplify (+ 0 0) into 0 3.155 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.155 * [taylor]: Taking taylor expansion of x in x 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.156 * [backup-simplify]: Simplify (/ 1 1) into 1 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (* 2 1) into 2 3.156 * [backup-simplify]: Simplify 2 into 2 3.156 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.157 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.157 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 3.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (* 1 1) into 1 3.158 * [backup-simplify]: Simplify (/ 1 1) into 1 3.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.158 * [taylor]: Taking taylor expansion of y in x 3.159 * [backup-simplify]: Simplify y into y 3.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.159 * [taylor]: Taking taylor expansion of 2 in x 3.159 * [backup-simplify]: Simplify 2 into 2 3.159 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.159 * [taylor]: Taking taylor expansion of (* x y) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [backup-simplify]: Simplify y into y 3.159 * [backup-simplify]: Simplify (* 0 y) into 0 3.159 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.160 * [taylor]: Taking taylor expansion of x in y 3.160 * [backup-simplify]: Simplify x into x 3.160 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.160 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.160 * [taylor]: Taking taylor expansion of y in y 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (* 1 1) into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.161 * [taylor]: Taking taylor expansion of 2 in y 3.161 * [backup-simplify]: Simplify 2 into 2 3.161 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.161 * [taylor]: Taking taylor expansion of (* x y) in y 3.161 * [taylor]: Taking taylor expansion of x in y 3.161 * [backup-simplify]: Simplify x into x 3.161 * [taylor]: Taking taylor expansion of y in y 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (* x 0) into 0 3.161 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.161 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.161 * [taylor]: Taking taylor expansion of x in y 3.161 * [backup-simplify]: Simplify x into x 3.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.161 * [taylor]: Taking taylor expansion of y in y 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (* 1 1) into 1 3.162 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.162 * [taylor]: Taking taylor expansion of 2 in y 3.162 * [backup-simplify]: Simplify 2 into 2 3.162 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.162 * [taylor]: Taking taylor expansion of (* x y) in y 3.162 * [taylor]: Taking taylor expansion of x in y 3.162 * [backup-simplify]: Simplify x into x 3.162 * [taylor]: Taking taylor expansion of y in y 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (* x 0) into 0 3.162 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.162 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.163 * [backup-simplify]: Simplify (+ 1 0) into 1 3.163 * [backup-simplify]: Simplify (+ 0 1) into 1 3.163 * [taylor]: Taking taylor expansion of 1 in x 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.164 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.164 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 3.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.164 * [taylor]: Taking taylor expansion of 2 in x 3.164 * [backup-simplify]: Simplify 2 into 2 3.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 1 into 1 3.164 * [backup-simplify]: Simplify (/ 1 1) into 1 3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (* 1 1) into 1 3.167 * [backup-simplify]: Simplify (/ 1 1) into 1 3.167 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (* 2 1) into 2 3.168 * [backup-simplify]: Simplify 2 into 2 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.168 * * * [progress]: simplifying candidates 3.169 * [simplify]: Simplifying: (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* y (+ (* 2 x) y))) (exp (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (* (* (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x))) (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* x x)))) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* x x))) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.169 * * [simplify]: Extracting # 0 : cost 0 3.170 * * [simplify]: Extracting # 1 : cost 0 3.170 * * [simplify]: Extracting # 2 : cost 0 3.170 * * [simplify]: Extracting # 3 : cost 0 3.170 * * [simplify]: Extracting # 4 : cost 0 3.170 * * [simplify]: Extracting # 5 : cost 0 3.170 * * [simplify]: Extracting # 6 : cost 0 3.171 * * [simplify]: Extracting # 7 : cost 0 3.171 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 3.206 * * [simplify]: Extracting # 0 : cost 0 3.207 * * [simplify]: Extracting # 1 : cost 0 3.207 * * [simplify]: Extracting # 2 : cost 0 3.207 * * [simplify]: Extracting # 3 : cost 0 3.207 * * [simplify]: iteration 1 : 216 enodes (cost 485 ) 3.353 * * [simplify]: Extracting # 0 : cost 0 3.354 * * [simplify]: Extracting # 1 : cost 0 3.356 * * [simplify]: Extracting # 2 : cost 0 3.357 * * [simplify]: Extracting # 3 : cost 0 3.358 * * [simplify]: Extracting # 4 : cost 0 3.359 * * [simplify]: iteration 2 : 736 enodes (cost 445 ) 4.201 * * [simplify]: Extracting # 0 : cost 0 4.205 * * [simplify]: Extracting # 1 : cost 0 4.208 * * [simplify]: Extracting # 2 : cost 0 4.211 * * [simplify]: Extracting # 3 : cost 0 4.214 * * [simplify]: Extracting # 4 : cost 0 4.222 * * [simplify]: iteration 3 : 3389 enodes (cost 437 ) 5.546 * * [simplify]: Extracting # 0 : cost 0 5.551 * * [simplify]: Extracting # 1 : cost 0 5.558 * * [simplify]: Extracting # 2 : cost 0 5.567 * * [simplify]: Extracting # 3 : cost 0 5.574 * * [simplify]: Extracting # 4 : cost 0 5.582 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 5.589 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (log (* (+ (* 2 x) y) y)) (log (* (+ (* 2 x) y) y)) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (pow (+ (* (+ (* 2 x) y) y) (pow x 2)) 3) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow x 6)) (+ (* (* (+ (* 2 x) y) y) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (pow x 4)) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) 5.590 * * * [progress]: adding candidates to table 5.690 * * [progress]: iteration 3 / 4 5.690 * * * [progress]: picking best candidate 5.691 * * * * [pick]: Picked # 5.691 * * * [progress]: localizing error 5.700 * * * [progress]: generating rewritten candidates 5.700 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.724 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.803 * * * [progress]: generating series expansions 5.803 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.803 * [backup-simplify]: Simplify (+ (* y (* 2 x)) (* y y)) into (+ (pow y 2) (* 2 (* x y))) 5.803 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (y x) around 0 5.803 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 5.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.803 * [taylor]: Taking taylor expansion of y in x 5.803 * [backup-simplify]: Simplify y into y 5.803 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.803 * [taylor]: Taking taylor expansion of 2 in x 5.803 * [backup-simplify]: Simplify 2 into 2 5.803 * [taylor]: Taking taylor expansion of (* x y) in x 5.803 * [taylor]: Taking taylor expansion of x in x 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 1 into 1 5.803 * [taylor]: Taking taylor expansion of y in x 5.803 * [backup-simplify]: Simplify y into y 5.803 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.803 * [taylor]: Taking taylor expansion of y in y 5.803 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.804 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.804 * [taylor]: Taking taylor expansion of 2 in y 5.804 * [backup-simplify]: Simplify 2 into 2 5.804 * [taylor]: Taking taylor expansion of (* x y) in y 5.804 * [taylor]: Taking taylor expansion of x in y 5.804 * [backup-simplify]: Simplify x into x 5.804 * [taylor]: Taking taylor expansion of y in y 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.804 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.804 * [taylor]: Taking taylor expansion of y in y 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.804 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.804 * [taylor]: Taking taylor expansion of 2 in y 5.804 * [backup-simplify]: Simplify 2 into 2 5.804 * [taylor]: Taking taylor expansion of (* x y) in y 5.804 * [taylor]: Taking taylor expansion of x in y 5.804 * [backup-simplify]: Simplify x into x 5.804 * [taylor]: Taking taylor expansion of y in y 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.804 * [backup-simplify]: Simplify (* x 0) into 0 5.805 * [backup-simplify]: Simplify (* 2 0) into 0 5.805 * [backup-simplify]: Simplify (+ 0 0) into 0 5.805 * [taylor]: Taking taylor expansion of 0 in x 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.806 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 5.806 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 5.806 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.806 * [taylor]: Taking taylor expansion of 2 in x 5.806 * [backup-simplify]: Simplify 2 into 2 5.806 * [taylor]: Taking taylor expansion of x in x 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.806 * [backup-simplify]: Simplify (* 2 0) into 0 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify (* 1 1) into 1 5.807 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 5.808 * [backup-simplify]: Simplify (+ 1 0) into 1 5.808 * [taylor]: Taking taylor expansion of 1 in x 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.809 * [backup-simplify]: Simplify 2 into 2 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.809 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 5.810 * [backup-simplify]: Simplify (+ 0 0) into 0 5.810 * [taylor]: Taking taylor expansion of 0 in x 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.812 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 5.813 * [backup-simplify]: Simplify (+ 0 0) into 0 5.813 * [taylor]: Taking taylor expansion of 0 in x 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 5.814 * [backup-simplify]: Simplify (+ (* (/ 1 y) (* 2 (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 5.814 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 5.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.814 * [taylor]: Taking taylor expansion of y in x 5.814 * [backup-simplify]: Simplify y into y 5.814 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.814 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.814 * [taylor]: Taking taylor expansion of 2 in x 5.814 * [backup-simplify]: Simplify 2 into 2 5.814 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.814 * [taylor]: Taking taylor expansion of (* x y) in x 5.814 * [taylor]: Taking taylor expansion of x in x 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [taylor]: Taking taylor expansion of y in x 5.814 * [backup-simplify]: Simplify y into y 5.814 * [backup-simplify]: Simplify (* 0 y) into 0 5.815 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.815 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.815 * [taylor]: Taking taylor expansion of y in y 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (* 1 1) into 1 5.815 * [backup-simplify]: Simplify (/ 1 1) into 1 5.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.815 * [taylor]: Taking taylor expansion of 2 in y 5.815 * [backup-simplify]: Simplify 2 into 2 5.815 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.815 * [taylor]: Taking taylor expansion of (* x y) in y 5.815 * [taylor]: Taking taylor expansion of x in y 5.815 * [backup-simplify]: Simplify x into x 5.815 * [taylor]: Taking taylor expansion of y in y 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (* x 0) into 0 5.816 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.816 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.816 * [taylor]: Taking taylor expansion of y in y 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [backup-simplify]: Simplify (* 1 1) into 1 5.816 * [backup-simplify]: Simplify (/ 1 1) into 1 5.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.816 * [taylor]: Taking taylor expansion of 2 in y 5.816 * [backup-simplify]: Simplify 2 into 2 5.816 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.816 * [taylor]: Taking taylor expansion of (* x y) in y 5.816 * [taylor]: Taking taylor expansion of x in y 5.816 * [backup-simplify]: Simplify x into x 5.817 * [taylor]: Taking taylor expansion of y in y 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (* x 0) into 0 5.817 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.817 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.817 * [backup-simplify]: Simplify (+ 1 0) into 1 5.817 * [taylor]: Taking taylor expansion of 1 in x 5.817 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.818 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.818 * [taylor]: Taking taylor expansion of 2 in x 5.818 * [backup-simplify]: Simplify 2 into 2 5.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.818 * [taylor]: Taking taylor expansion of x in x 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (/ 1 1) into 1 5.819 * [backup-simplify]: Simplify (* 2 1) into 2 5.819 * [backup-simplify]: Simplify 2 into 2 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.820 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.821 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.821 * [backup-simplify]: Simplify (+ 0 0) into 0 5.821 * [taylor]: Taking taylor expansion of 0 in x 5.821 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.822 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.824 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.825 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [taylor]: Taking taylor expansion of 0 in x 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.826 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.829 * [backup-simplify]: Simplify (+ 0 0) into 0 5.829 * [taylor]: Taking taylor expansion of 0 in x 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 5.829 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (* 2 (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 5.829 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 5.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.829 * [taylor]: Taking taylor expansion of y in x 5.829 * [backup-simplify]: Simplify y into y 5.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.830 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.830 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.830 * [taylor]: Taking taylor expansion of 2 in x 5.830 * [backup-simplify]: Simplify 2 into 2 5.830 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.830 * [taylor]: Taking taylor expansion of (* x y) in x 5.830 * [taylor]: Taking taylor expansion of x in x 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [taylor]: Taking taylor expansion of y in x 5.830 * [backup-simplify]: Simplify y into y 5.830 * [backup-simplify]: Simplify (* 0 y) into 0 5.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.830 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.830 * [taylor]: Taking taylor expansion of y in y 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (* 1 1) into 1 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.831 * [taylor]: Taking taylor expansion of 2 in y 5.831 * [backup-simplify]: Simplify 2 into 2 5.831 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.831 * [taylor]: Taking taylor expansion of (* x y) in y 5.831 * [taylor]: Taking taylor expansion of x in y 5.831 * [backup-simplify]: Simplify x into x 5.831 * [taylor]: Taking taylor expansion of y in y 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (* x 0) into 0 5.831 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.831 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.831 * [taylor]: Taking taylor expansion of y in y 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (* 1 1) into 1 5.832 * [backup-simplify]: Simplify (/ 1 1) into 1 5.832 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.832 * [taylor]: Taking taylor expansion of 2 in y 5.832 * [backup-simplify]: Simplify 2 into 2 5.832 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.832 * [taylor]: Taking taylor expansion of (* x y) in y 5.832 * [taylor]: Taking taylor expansion of x in y 5.832 * [backup-simplify]: Simplify x into x 5.832 * [taylor]: Taking taylor expansion of y in y 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (* x 0) into 0 5.832 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.832 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.833 * [backup-simplify]: Simplify (+ 1 0) into 1 5.833 * [taylor]: Taking taylor expansion of 1 in x 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.834 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.834 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.834 * [taylor]: Taking taylor expansion of 2 in x 5.834 * [backup-simplify]: Simplify 2 into 2 5.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.834 * [taylor]: Taking taylor expansion of x in x 5.834 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify 1 into 1 5.834 * [backup-simplify]: Simplify (/ 1 1) into 1 5.834 * [backup-simplify]: Simplify (* 2 1) into 2 5.834 * [backup-simplify]: Simplify 2 into 2 5.834 * [backup-simplify]: Simplify 1 into 1 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.836 * [backup-simplify]: Simplify (+ 0 0) into 0 5.836 * [taylor]: Taking taylor expansion of 0 in x 5.836 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.840 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [taylor]: Taking taylor expansion of 0 in x 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.843 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.844 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [taylor]: Taking taylor expansion of 0 in x 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 5.844 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.845 * [backup-simplify]: Simplify (+ (+ (* y (* 2 x)) (* y y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.845 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 5.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 5.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 5.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.845 * [taylor]: Taking taylor expansion of y in x 5.845 * [backup-simplify]: Simplify y into y 5.845 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.845 * [taylor]: Taking taylor expansion of 2 in x 5.845 * [backup-simplify]: Simplify 2 into 2 5.845 * [taylor]: Taking taylor expansion of (* x y) in x 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of y in x 5.845 * [backup-simplify]: Simplify y into y 5.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 5.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.845 * [taylor]: Taking taylor expansion of x in y 5.845 * [backup-simplify]: Simplify x into x 5.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.845 * [taylor]: Taking taylor expansion of y in y 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.845 * [taylor]: Taking taylor expansion of 2 in y 5.845 * [backup-simplify]: Simplify 2 into 2 5.845 * [taylor]: Taking taylor expansion of (* x y) in y 5.845 * [taylor]: Taking taylor expansion of x in y 5.845 * [backup-simplify]: Simplify x into x 5.845 * [taylor]: Taking taylor expansion of y in y 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 5.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.845 * [taylor]: Taking taylor expansion of x in y 5.845 * [backup-simplify]: Simplify x into x 5.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.845 * [taylor]: Taking taylor expansion of y in y 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.845 * [taylor]: Taking taylor expansion of 2 in y 5.845 * [backup-simplify]: Simplify 2 into 2 5.845 * [taylor]: Taking taylor expansion of (* x y) in y 5.845 * [taylor]: Taking taylor expansion of x in y 5.845 * [backup-simplify]: Simplify x into x 5.845 * [taylor]: Taking taylor expansion of y in y 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.846 * [backup-simplify]: Simplify (* x 0) into 0 5.846 * [backup-simplify]: Simplify (* 2 0) into 0 5.846 * [backup-simplify]: Simplify (+ 0 0) into 0 5.846 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.846 * [taylor]: Taking taylor expansion of x in x 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.847 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.847 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 5.847 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 5.847 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 5.847 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.847 * [taylor]: Taking taylor expansion of 2 in x 5.847 * [backup-simplify]: Simplify 2 into 2 5.847 * [taylor]: Taking taylor expansion of x in x 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 1 into 1 5.847 * [backup-simplify]: Simplify (* 2 0) into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.848 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 5.849 * [backup-simplify]: Simplify (+ 1 0) into 1 5.849 * [backup-simplify]: Simplify (+ 0 1) into 1 5.849 * [taylor]: Taking taylor expansion of 1 in x 5.849 * [backup-simplify]: Simplify 1 into 1 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.850 * [backup-simplify]: Simplify 2 into 2 5.850 * [backup-simplify]: Simplify (* 1 1) into 1 5.850 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.851 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (* 2 (/ 1 x))) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 5.851 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 5.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.851 * [taylor]: Taking taylor expansion of x in x 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (* 1 1) into 1 5.851 * [backup-simplify]: Simplify (/ 1 1) into 1 5.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.852 * [taylor]: Taking taylor expansion of y in x 5.852 * [backup-simplify]: Simplify y into y 5.852 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.852 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.852 * [taylor]: Taking taylor expansion of 2 in x 5.852 * [backup-simplify]: Simplify 2 into 2 5.852 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.852 * [taylor]: Taking taylor expansion of (* x y) in x 5.852 * [taylor]: Taking taylor expansion of x in x 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify 1 into 1 5.852 * [taylor]: Taking taylor expansion of y in x 5.852 * [backup-simplify]: Simplify y into y 5.852 * [backup-simplify]: Simplify (* 0 y) into 0 5.852 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.852 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.852 * [taylor]: Taking taylor expansion of x in y 5.852 * [backup-simplify]: Simplify x into x 5.852 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.853 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.853 * [taylor]: Taking taylor expansion of y in y 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (* 1 1) into 1 5.853 * [backup-simplify]: Simplify (/ 1 1) into 1 5.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.853 * [taylor]: Taking taylor expansion of 2 in y 5.853 * [backup-simplify]: Simplify 2 into 2 5.853 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.853 * [taylor]: Taking taylor expansion of (* x y) in y 5.853 * [taylor]: Taking taylor expansion of x in y 5.853 * [backup-simplify]: Simplify x into x 5.853 * [taylor]: Taking taylor expansion of y in y 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (* x 0) into 0 5.854 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.854 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.854 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.854 * [taylor]: Taking taylor expansion of x in y 5.854 * [backup-simplify]: Simplify x into x 5.854 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.854 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.854 * [taylor]: Taking taylor expansion of y in y 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (* 1 1) into 1 5.855 * [backup-simplify]: Simplify (/ 1 1) into 1 5.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.855 * [taylor]: Taking taylor expansion of 2 in y 5.855 * [backup-simplify]: Simplify 2 into 2 5.855 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.855 * [taylor]: Taking taylor expansion of (* x y) in y 5.855 * [taylor]: Taking taylor expansion of x in y 5.855 * [backup-simplify]: Simplify x into x 5.855 * [taylor]: Taking taylor expansion of y in y 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (* x 0) into 0 5.855 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.855 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.855 * [backup-simplify]: Simplify (+ 1 0) into 1 5.856 * [backup-simplify]: Simplify (+ 0 1) into 1 5.856 * [taylor]: Taking taylor expansion of 1 in x 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.857 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.857 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.857 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 5.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.857 * [taylor]: Taking taylor expansion of 2 in x 5.857 * [backup-simplify]: Simplify 2 into 2 5.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.857 * [taylor]: Taking taylor expansion of x in x 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [backup-simplify]: Simplify (/ 1 1) into 1 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.859 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 5.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.860 * [taylor]: Taking taylor expansion of x in x 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (* 1 1) into 1 5.860 * [backup-simplify]: Simplify (/ 1 1) into 1 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (* 2 1) into 2 5.860 * [backup-simplify]: Simplify 2 into 2 5.860 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.861 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (* 2 (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 5.861 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 5.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.861 * [taylor]: Taking taylor expansion of x in x 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (* 1 1) into 1 5.862 * [backup-simplify]: Simplify (/ 1 1) into 1 5.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.862 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.862 * [taylor]: Taking taylor expansion of y in x 5.862 * [backup-simplify]: Simplify y into y 5.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.862 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.862 * [taylor]: Taking taylor expansion of 2 in x 5.862 * [backup-simplify]: Simplify 2 into 2 5.862 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.862 * [taylor]: Taking taylor expansion of (* x y) in x 5.862 * [taylor]: Taking taylor expansion of x in x 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [taylor]: Taking taylor expansion of y in x 5.862 * [backup-simplify]: Simplify y into y 5.862 * [backup-simplify]: Simplify (* 0 y) into 0 5.863 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.863 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.863 * [taylor]: Taking taylor expansion of x in y 5.863 * [backup-simplify]: Simplify x into x 5.863 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.863 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.863 * [taylor]: Taking taylor expansion of y in y 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (* 1 1) into 1 5.863 * [backup-simplify]: Simplify (/ 1 1) into 1 5.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.863 * [taylor]: Taking taylor expansion of 2 in y 5.863 * [backup-simplify]: Simplify 2 into 2 5.863 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.863 * [taylor]: Taking taylor expansion of (* x y) in y 5.863 * [taylor]: Taking taylor expansion of x in y 5.864 * [backup-simplify]: Simplify x into x 5.864 * [taylor]: Taking taylor expansion of y in y 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.864 * [backup-simplify]: Simplify (* x 0) into 0 5.864 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.864 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.864 * [taylor]: Taking taylor expansion of x in y 5.864 * [backup-simplify]: Simplify x into x 5.864 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.864 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.864 * [taylor]: Taking taylor expansion of y in y 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.865 * [backup-simplify]: Simplify (* 1 1) into 1 5.865 * [backup-simplify]: Simplify (/ 1 1) into 1 5.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.865 * [taylor]: Taking taylor expansion of 2 in y 5.865 * [backup-simplify]: Simplify 2 into 2 5.865 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.865 * [taylor]: Taking taylor expansion of (* x y) in y 5.865 * [taylor]: Taking taylor expansion of x in y 5.865 * [backup-simplify]: Simplify x into x 5.865 * [taylor]: Taking taylor expansion of y in y 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 1 into 1 5.865 * [backup-simplify]: Simplify (* x 0) into 0 5.865 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.865 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.866 * [backup-simplify]: Simplify (+ 1 0) into 1 5.866 * [backup-simplify]: Simplify (+ 0 1) into 1 5.866 * [taylor]: Taking taylor expansion of 1 in x 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.867 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.867 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 5.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.867 * [taylor]: Taking taylor expansion of 2 in x 5.867 * [backup-simplify]: Simplify 2 into 2 5.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.867 * [taylor]: Taking taylor expansion of x in x 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [backup-simplify]: Simplify (/ 1 1) into 1 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.869 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.869 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.870 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 5.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (* 1 1) into 1 5.870 * [backup-simplify]: Simplify (/ 1 1) into 1 5.870 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (* 2 1) into 2 5.871 * [backup-simplify]: Simplify 2 into 2 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.871 * * * [progress]: simplifying candidates 5.872 * [simplify]: Simplifying: (* (exp (* y (* 2 x))) (exp (* y y))) (log (+ (* y (* 2 x)) (* y y))) (exp (+ (* y (* 2 x)) (* y y))) (* (cbrt (+ (* y (* 2 x)) (* y y))) (cbrt (+ (* y (* 2 x)) (* y y)))) (cbrt (+ (* y (* 2 x)) (* y y))) (* (* (+ (* y (* 2 x)) (* y y)) (+ (* y (* 2 x)) (* y y))) (+ (* y (* 2 x)) (* y y))) (sqrt (+ (* y (* 2 x)) (* y y))) (sqrt (+ (* y (* 2 x)) (* y y))) (+ (pow (* y (* 2 x)) 3) (pow (* y y) 3)) (+ (* (* y (* 2 x)) (* y (* 2 x))) (- (* (* y y) (* y y)) (* (* y (* 2 x)) (* y y)))) (- (* (* y (* 2 x)) (* y (* 2 x))) (* (* y y) (* y y))) (- (* y (* 2 x)) (* y y)) (+ (* 2 x) y) (* (* (exp (* y (* 2 x))) (exp (* y y))) (exp (* x x))) (* (exp (+ (* y (* 2 x)) (* y y))) (exp (* x x))) (log (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (exp (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (* (cbrt (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (cbrt (+ (+ (* y (* 2 x)) (* y y)) (* x x)))) (cbrt (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (* (* (+ (+ (* y (* 2 x)) (* y y)) (* x x)) (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (sqrt (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (sqrt (+ (+ (* y (* 2 x)) (* y y)) (* x x))) (+ (pow (+ (* y (* 2 x)) (* y y)) 3) (pow (* x x) 3)) (+ (* (+ (* y (* 2 x)) (* y y)) (+ (* y (* 2 x)) (* y y))) (- (* (* x x) (* x x)) (* (+ (* y (* 2 x)) (* y y)) (* x x)))) (- (* (+ (* y (* 2 x)) (* y y)) (+ (* y (* 2 x)) (* y y))) (* (* x x) (* x x))) (- (+ (* y (* 2 x)) (* y y)) (* x x)) (+ (* y y) (* x x)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.873 * * [simplify]: Extracting # 0 : cost 0 5.873 * * [simplify]: Extracting # 1 : cost 0 5.873 * * [simplify]: Extracting # 2 : cost 0 5.873 * * [simplify]: Extracting # 3 : cost 0 5.873 * * [simplify]: Extracting # 4 : cost 0 5.873 * * [simplify]: Extracting # 5 : cost 0 5.873 * * [simplify]: Extracting # 6 : cost 0 5.873 * * [simplify]: Extracting # 7 : cost 0 5.873 * * [simplify]: iteration 0 : 57 enodes (cost 528 ) 5.889 * * [simplify]: Extracting # 0 : cost 0 5.890 * * [simplify]: Extracting # 1 : cost 0 5.890 * * [simplify]: Extracting # 2 : cost 0 5.890 * * [simplify]: Extracting # 3 : cost 0 5.890 * * [simplify]: Extracting # 4 : cost 0 5.890 * * [simplify]: iteration 1 : 186 enodes (cost 424 ) 6.014 * * [simplify]: Extracting # 0 : cost 0 6.015 * * [simplify]: Extracting # 1 : cost 0 6.016 * * [simplify]: Extracting # 2 : cost 0 6.016 * * [simplify]: Extracting # 3 : cost 0 6.017 * * [simplify]: Extracting # 4 : cost 0 6.018 * * [simplify]: iteration 2 : 770 enodes (cost 384 ) 7.075 * * [simplify]: Extracting # 0 : cost 0 7.079 * * [simplify]: Extracting # 1 : cost 0 7.087 * * [simplify]: Extracting # 2 : cost 0 7.090 * * [simplify]: Extracting # 3 : cost 0 7.093 * * [simplify]: Extracting # 4 : cost 0 7.097 * * [simplify]: iteration 3 : 3467 enodes (cost 376 ) 8.869 * * [simplify]: Extracting # 0 : cost 0 8.879 * * [simplify]: Extracting # 1 : cost 0 8.889 * * [simplify]: Extracting # 2 : cost 0 8.901 * * [simplify]: Extracting # 3 : cost 0 8.911 * * [simplify]: Extracting # 4 : cost 0 8.931 * * [simplify]: iteration done: 5001 enodes (cost 376 ) 8.931 * [simplify]: Simplified to: (exp (* y (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (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))) (+ (pow (* y (* 2 x)) 3) (pow y 6)) (* (* y y) (+ (* 4 (* x x)) (* y (- y (* 2 x))))) (- (* (* (* x y) (* x y)) 4) (pow y 4)) (* y (- (* 2 x) y)) (+ (* 2 x) y) (exp (+ (* x x) (* y (+ (* 2 x) 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 (+ (* x x) (* 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)) (+ (pow x 4) (* (* y (+ (* 2 x) y)) (- (* y (+ (* 2 x) y)) (* x x)))) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (pow x 4)) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 8.931 * * * [progress]: adding candidates to table 9.022 * [progress]: [Phase 3 of 3] Extracting. 9.025 * [simplify]: Simplifying: (+ (+ (* y (* 2 x)) (* y y)) (* x x)) 9.025 * * [simplify]: Extracting # 0 : cost 0 9.025 * * [simplify]: Extracting # 1 : cost 0 9.025 * * [simplify]: Extracting # 2 : cost 0 9.025 * * [simplify]: Extracting # 3 : cost 0 9.025 * * [simplify]: Extracting # 4 : cost 0 9.025 * * [simplify]: Extracting # 5 : cost 0 9.025 * * [simplify]: Extracting # 6 : cost 0 9.025 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 9.026 * * [simplify]: Extracting # 0 : cost 0 9.026 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 9.028 * * [simplify]: Extracting # 0 : cost 0 9.028 * * [simplify]: iteration done: 13 enodes (cost 13 ) 9.028 * [simplify]: Simplified to: (+ (+ (* y (* 2 x)) (* y y)) (* x x)) 10.480 * [regime-testing]: End program error score: 0.019347657803357596 10.520 * [regime-testing]: Target error score: 0.019597689057264337