59.473 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: Extracting # 1 : cost 0 0.019 * * [simplify]: Extracting # 2 : cost 0 0.019 * * [simplify]: Extracting # 3 : cost 0 0.019 * * [simplify]: Extracting # 4 : cost 0 0.019 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.099 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.101 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.142 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.142 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.142 * [taylor]: Taking taylor expansion of (+ x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ x 0) into x 0.143 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.143 * [taylor]: Taking taylor expansion of (+ x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (+ 0 y) into y 0.143 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.143 * [taylor]: Taking taylor expansion of (+ x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (+ 0 y) into y 0.143 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.144 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.144 * [taylor]: Taking taylor expansion of 2 in y 0.144 * [backup-simplify]: Simplify 2 into 2 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 2 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.145 * [backup-simplify]: Simplify 2 into 2 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [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)))) 0.146 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.146 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [backup-simplify]: Simplify x into x 0.146 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.149 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of 2 in y 0.149 * [backup-simplify]: Simplify 2 into 2 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 2 1) into 2 0.152 * [backup-simplify]: Simplify 2 into 2 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [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)))) 0.152 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.152 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [backup-simplify]: Simplify x into x 0.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.155 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 2 in y 0.155 * [backup-simplify]: Simplify 2 into 2 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 2 1) into 2 0.158 * [backup-simplify]: Simplify 2 into 2 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [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)))) 0.158 * * * [progress]: simplifying candidates 0.159 * [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)))) 0.160 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.160 * * [simplify]: Extracting # 2 : cost 0 0.160 * * [simplify]: Extracting # 3 : cost 0 0.160 * * [simplify]: Extracting # 4 : cost 0 0.160 * * [simplify]: Extracting # 5 : cost 0 0.160 * * [simplify]: Extracting # 6 : cost 0 0.160 * * [simplify]: Extracting # 7 : cost 0 0.160 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.177 * * [simplify]: Extracting # 2 : cost 0 0.177 * * [simplify]: Extracting # 3 : cost 0 0.177 * * [simplify]: Extracting # 4 : cost 0 0.177 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.253 * * [simplify]: Extracting # 0 : cost 0 0.254 * * [simplify]: Extracting # 1 : cost 0 0.255 * * [simplify]: Extracting # 2 : cost 0 0.256 * * [simplify]: Extracting # 3 : cost 0 0.257 * * [simplify]: Extracting # 4 : cost 0 0.261 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 0.956 * * [simplify]: Extracting # 0 : cost 0 0.961 * * [simplify]: Extracting # 1 : cost 0 0.964 * * [simplify]: Extracting # 2 : cost 0 0.967 * * [simplify]: Extracting # 3 : cost 0 0.969 * * [simplify]: Extracting # 4 : cost 0 0.972 * * [simplify]: Extracting # 5 : cost 0 0.978 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.278 * * [simplify]: Extracting # 0 : cost 0 2.289 * * [simplify]: Extracting # 1 : cost 0 2.294 * * [simplify]: Extracting # 2 : cost 0 2.299 * * [simplify]: Extracting # 3 : cost 0 2.303 * * [simplify]: Extracting # 4 : cost 0 2.308 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.308 * [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)) 2.309 * * * [progress]: adding candidates to table 2.362 * * [progress]: iteration 2 / 4 2.362 * * * [progress]: picking best candidate 2.364 * * * * [pick]: Picked # 2.364 * * * [progress]: localizing error 2.372 * * * [progress]: generating rewritten candidates 2.372 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.403 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.420 * * * [progress]: generating series expansions 2.420 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.421 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 2.421 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 2.421 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 2.421 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 2.421 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.421 * [taylor]: Taking taylor expansion of 2 in x 2.421 * [backup-simplify]: Simplify 2 into 2 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.421 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.421 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.421 * [taylor]: Taking taylor expansion of 2 in y 2.421 * [backup-simplify]: Simplify 2 into 2 2.421 * [taylor]: Taking taylor expansion of x in y 2.421 * [backup-simplify]: Simplify x into x 2.421 * [taylor]: Taking taylor expansion of y in y 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of y in y 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.421 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.421 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.421 * [taylor]: Taking taylor expansion of 2 in y 2.421 * [backup-simplify]: Simplify 2 into 2 2.421 * [taylor]: Taking taylor expansion of x in y 2.421 * [backup-simplify]: Simplify x into x 2.421 * [taylor]: Taking taylor expansion of y in y 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of y in y 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 2.421 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 2.421 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 2.421 * [taylor]: Taking taylor expansion of 0 in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 2.422 * [backup-simplify]: Simplify (+ 0 1) into 1 2.423 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 2.423 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.423 * [taylor]: Taking taylor expansion of 2 in x 2.423 * [backup-simplify]: Simplify 2 into 2 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* 2 0) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 2.424 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 2.425 * [taylor]: Taking taylor expansion of 1 in x 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.425 * [backup-simplify]: Simplify 2 into 2 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.427 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.427 * [taylor]: Taking taylor expansion of 0 in x 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.430 * [taylor]: Taking taylor expansion of 0 in x 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 2.430 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 2.430 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 2.430 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 2.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 2.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.430 * [taylor]: Taking taylor expansion of y in x 2.430 * [backup-simplify]: Simplify y into y 2.430 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.430 * [taylor]: Taking taylor expansion of 2 in x 2.431 * [backup-simplify]: Simplify 2 into 2 2.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.431 * [taylor]: Taking taylor expansion of y in x 2.431 * [backup-simplify]: Simplify y into y 2.431 * [backup-simplify]: Simplify (* 2 1) into 2 2.431 * [backup-simplify]: Simplify (+ 0 2) into 2 2.431 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.432 * [taylor]: Taking taylor expansion of y in y 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (/ 1 1) into 1 2.432 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.432 * [taylor]: Taking taylor expansion of 2 in y 2.432 * [backup-simplify]: Simplify 2 into 2 2.432 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.432 * [taylor]: Taking taylor expansion of x in y 2.432 * [backup-simplify]: Simplify x into x 2.432 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.432 * [taylor]: Taking taylor expansion of y in y 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (+ 1 0) into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.433 * [taylor]: Taking taylor expansion of y in y 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.433 * [taylor]: Taking taylor expansion of 2 in y 2.433 * [backup-simplify]: Simplify 2 into 2 2.433 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.433 * [taylor]: Taking taylor expansion of x in y 2.433 * [backup-simplify]: Simplify x into x 2.433 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.433 * [taylor]: Taking taylor expansion of y in y 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (+ 1 0) into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [taylor]: Taking taylor expansion of 1 in x 2.434 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.435 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.435 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 2.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.436 * [taylor]: Taking taylor expansion of 2 in x 2.436 * [backup-simplify]: Simplify 2 into 2 2.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ 1 1) into 1 2.436 * [backup-simplify]: Simplify (* 2 1) into 2 2.436 * [backup-simplify]: Simplify 2 into 2 2.436 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 2.439 * [taylor]: Taking taylor expansion of 0 in x 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [taylor]: Taking taylor expansion of 0 in x 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [taylor]: Taking taylor expansion of 0 in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 2.448 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 2.448 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 2.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [backup-simplify]: Simplify y into y 2.448 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.448 * [taylor]: Taking taylor expansion of 2 in x 2.448 * [backup-simplify]: Simplify 2 into 2 2.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of y in x 2.449 * [backup-simplify]: Simplify y into y 2.449 * [backup-simplify]: Simplify (* 2 1) into 2 2.449 * [backup-simplify]: Simplify (+ 0 2) into 2 2.449 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.449 * [taylor]: Taking taylor expansion of y in y 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.450 * [taylor]: Taking taylor expansion of 2 in y 2.450 * [backup-simplify]: Simplify 2 into 2 2.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.450 * [taylor]: Taking taylor expansion of x in y 2.450 * [backup-simplify]: Simplify x into x 2.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.450 * [taylor]: Taking taylor expansion of y in y 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (+ 1 0) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.450 * [taylor]: Taking taylor expansion of y in y 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.451 * [taylor]: Taking taylor expansion of 2 in y 2.451 * [backup-simplify]: Simplify 2 into 2 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.451 * [taylor]: Taking taylor expansion of x in y 2.451 * [backup-simplify]: Simplify x into x 2.451 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.451 * [taylor]: Taking taylor expansion of y in y 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (+ 1 0) into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [taylor]: Taking taylor expansion of 1 in x 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.452 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.452 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 2.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.453 * [taylor]: Taking taylor expansion of 2 in x 2.453 * [backup-simplify]: Simplify 2 into 2 2.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [backup-simplify]: Simplify (* 2 1) into 2 2.453 * [backup-simplify]: Simplify 2 into 2 2.453 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 2.455 * [taylor]: Taking taylor expansion of 0 in x 2.455 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.459 * [taylor]: Taking taylor expansion of 0 in x 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.463 * [taylor]: Taking taylor expansion of 0 in x 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 2.463 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.464 * [backup-simplify]: Simplify (+ (* y (+ (* 2 x) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.464 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 2.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.464 * [taylor]: Taking taylor expansion of y in x 2.464 * [backup-simplify]: Simplify y into y 2.464 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.464 * [taylor]: Taking taylor expansion of 2 in x 2.464 * [backup-simplify]: Simplify 2 into 2 2.464 * [taylor]: Taking taylor expansion of (* x y) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of y in x 2.464 * [backup-simplify]: Simplify y into y 2.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.464 * [taylor]: Taking taylor expansion of x in y 2.464 * [backup-simplify]: Simplify x into x 2.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.464 * [taylor]: Taking taylor expansion of y in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.464 * [taylor]: Taking taylor expansion of 2 in y 2.464 * [backup-simplify]: Simplify 2 into 2 2.464 * [taylor]: Taking taylor expansion of (* x y) in y 2.464 * [taylor]: Taking taylor expansion of x in y 2.464 * [backup-simplify]: Simplify x into x 2.464 * [taylor]: Taking taylor expansion of y in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.464 * [taylor]: Taking taylor expansion of x in y 2.464 * [backup-simplify]: Simplify x into x 2.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.464 * [taylor]: Taking taylor expansion of y in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.464 * [taylor]: Taking taylor expansion of 2 in y 2.464 * [backup-simplify]: Simplify 2 into 2 2.464 * [taylor]: Taking taylor expansion of (* x y) in y 2.464 * [taylor]: Taking taylor expansion of x in y 2.464 * [backup-simplify]: Simplify x into x 2.464 * [taylor]: Taking taylor expansion of y in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.464 * [backup-simplify]: Simplify (* x 0) into 0 2.465 * [backup-simplify]: Simplify (* 2 0) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.465 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.466 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 2.466 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.466 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.466 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.466 * [taylor]: Taking taylor expansion of 2 in x 2.466 * [backup-simplify]: Simplify 2 into 2 2.466 * [taylor]: Taking taylor expansion of x in x 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (* 2 0) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 2.468 * [backup-simplify]: Simplify (+ 1 0) into 1 2.468 * [backup-simplify]: Simplify (+ 0 1) into 1 2.468 * [taylor]: Taking taylor expansion of 1 in x 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.469 * [backup-simplify]: Simplify 2 into 2 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [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)))) 2.469 * [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))))) 2.469 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (* 1 1) into 1 2.470 * [backup-simplify]: Simplify (/ 1 1) into 1 2.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.470 * [taylor]: Taking taylor expansion of y in x 2.470 * [backup-simplify]: Simplify y into y 2.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.470 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.470 * [taylor]: Taking taylor expansion of 2 in x 2.470 * [backup-simplify]: Simplify 2 into 2 2.470 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.470 * [taylor]: Taking taylor expansion of (* x y) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [taylor]: Taking taylor expansion of y in x 2.470 * [backup-simplify]: Simplify y into y 2.470 * [backup-simplify]: Simplify (* 0 y) into 0 2.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.471 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.471 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.471 * [taylor]: Taking taylor expansion of x in y 2.471 * [backup-simplify]: Simplify x into x 2.471 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.471 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.471 * [taylor]: Taking taylor expansion of y in y 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (* 1 1) into 1 2.472 * [backup-simplify]: Simplify (/ 1 1) into 1 2.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.472 * [taylor]: Taking taylor expansion of 2 in y 2.472 * [backup-simplify]: Simplify 2 into 2 2.472 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.472 * [taylor]: Taking taylor expansion of (* x y) in y 2.472 * [taylor]: Taking taylor expansion of x in y 2.472 * [backup-simplify]: Simplify x into x 2.472 * [taylor]: Taking taylor expansion of y in y 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (* x 0) into 0 2.472 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.472 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.472 * [taylor]: Taking taylor expansion of x in y 2.472 * [backup-simplify]: Simplify x into x 2.472 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.472 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.472 * [taylor]: Taking taylor expansion of y in y 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (* 1 1) into 1 2.473 * [backup-simplify]: Simplify (/ 1 1) into 1 2.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.473 * [taylor]: Taking taylor expansion of 2 in y 2.473 * [backup-simplify]: Simplify 2 into 2 2.473 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.473 * [taylor]: Taking taylor expansion of (* x y) in y 2.473 * [taylor]: Taking taylor expansion of x in y 2.473 * [backup-simplify]: Simplify x into x 2.473 * [taylor]: Taking taylor expansion of y in y 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (* x 0) into 0 2.473 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.473 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.474 * [backup-simplify]: Simplify (+ 1 0) into 1 2.476 * [backup-simplify]: Simplify (+ 0 1) into 1 2.476 * [taylor]: Taking taylor expansion of 1 in x 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.478 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.478 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 2.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.478 * [taylor]: Taking taylor expansion of 2 in x 2.478 * [backup-simplify]: Simplify 2 into 2 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (/ 1 1) into 1 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.479 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.480 * [taylor]: Taking taylor expansion of x in x 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (* 1 1) into 1 2.481 * [backup-simplify]: Simplify (/ 1 1) into 1 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (* 2 1) into 2 2.481 * [backup-simplify]: Simplify 2 into 2 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [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)))) 2.482 * [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))))) 2.482 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (* 1 1) into 1 2.482 * [backup-simplify]: Simplify (/ 1 1) into 1 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.482 * [taylor]: Taking taylor expansion of y in x 2.482 * [backup-simplify]: Simplify y into y 2.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.483 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.483 * [taylor]: Taking taylor expansion of 2 in x 2.483 * [backup-simplify]: Simplify 2 into 2 2.483 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.483 * [taylor]: Taking taylor expansion of (* x y) in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [taylor]: Taking taylor expansion of y in x 2.483 * [backup-simplify]: Simplify y into y 2.483 * [backup-simplify]: Simplify (* 0 y) into 0 2.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.483 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.483 * [taylor]: Taking taylor expansion of x in y 2.483 * [backup-simplify]: Simplify x into x 2.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.483 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.483 * [taylor]: Taking taylor expansion of y in y 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (* 1 1) into 1 2.484 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.484 * [taylor]: Taking taylor expansion of 2 in y 2.484 * [backup-simplify]: Simplify 2 into 2 2.484 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.484 * [taylor]: Taking taylor expansion of (* x y) in y 2.484 * [taylor]: Taking taylor expansion of x in y 2.484 * [backup-simplify]: Simplify x into x 2.484 * [taylor]: Taking taylor expansion of y in y 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (* x 0) into 0 2.484 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.484 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.484 * [taylor]: Taking taylor expansion of x in y 2.484 * [backup-simplify]: Simplify x into x 2.484 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.485 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.485 * [taylor]: Taking taylor expansion of y in y 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (* 1 1) into 1 2.485 * [backup-simplify]: Simplify (/ 1 1) into 1 2.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.485 * [taylor]: Taking taylor expansion of 2 in y 2.485 * [backup-simplify]: Simplify 2 into 2 2.485 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.485 * [taylor]: Taking taylor expansion of (* x y) in y 2.485 * [taylor]: Taking taylor expansion of x in y 2.485 * [backup-simplify]: Simplify x into x 2.485 * [taylor]: Taking taylor expansion of y in y 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (* x 0) into 0 2.486 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.486 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.486 * [backup-simplify]: Simplify (+ 1 0) into 1 2.486 * [backup-simplify]: Simplify (+ 0 1) into 1 2.486 * [taylor]: Taking taylor expansion of 1 in x 2.486 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.487 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.487 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 2.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.487 * [taylor]: Taking taylor expansion of 2 in x 2.487 * [backup-simplify]: Simplify 2 into 2 2.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (/ 1 1) into 1 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.489 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify (/ 1 1) into 1 2.490 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (* 2 1) into 2 2.491 * [backup-simplify]: Simplify 2 into 2 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [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)))) 2.491 * * * [progress]: simplifying candidates 2.492 * [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)))) 2.492 * * [simplify]: Extracting # 0 : cost 0 2.493 * * [simplify]: Extracting # 1 : cost 0 2.493 * * [simplify]: Extracting # 2 : cost 0 2.493 * * [simplify]: Extracting # 3 : cost 0 2.493 * * [simplify]: Extracting # 4 : cost 0 2.493 * * [simplify]: Extracting # 5 : cost 0 2.493 * * [simplify]: Extracting # 6 : cost 0 2.493 * * [simplify]: Extracting # 7 : cost 0 2.493 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 2.512 * * [simplify]: Extracting # 0 : cost 0 2.512 * * [simplify]: Extracting # 1 : cost 0 2.513 * * [simplify]: Extracting # 2 : cost 0 2.513 * * [simplify]: Extracting # 3 : cost 0 2.513 * * [simplify]: iteration 1 : 216 enodes (cost 485 ) 2.658 * * [simplify]: Extracting # 0 : cost 0 2.660 * * [simplify]: Extracting # 1 : cost 0 2.661 * * [simplify]: Extracting # 2 : cost 0 2.662 * * [simplify]: Extracting # 3 : cost 0 2.663 * * [simplify]: Extracting # 4 : cost 0 2.665 * * [simplify]: iteration 2 : 736 enodes (cost 445 ) 3.370 * * [simplify]: Extracting # 0 : cost 0 3.377 * * [simplify]: Extracting # 1 : cost 0 3.381 * * [simplify]: Extracting # 2 : cost 0 3.385 * * [simplify]: Extracting # 3 : cost 0 3.389 * * [simplify]: Extracting # 4 : cost 0 3.392 * * [simplify]: iteration 3 : 3389 enodes (cost 437 ) 4.849 * * [simplify]: Extracting # 0 : cost 0 4.855 * * [simplify]: Extracting # 1 : cost 0 4.863 * * [simplify]: Extracting # 2 : cost 0 4.870 * * [simplify]: Extracting # 3 : cost 0 4.877 * * [simplify]: Extracting # 4 : cost 0 4.885 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 4.885 * [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)) 4.886 * * * [progress]: adding candidates to table 4.987 * * [progress]: iteration 3 / 4 4.987 * * * [progress]: picking best candidate 4.989 * * * * [pick]: Picked # 4.989 * * * [progress]: localizing error 5.004 * * * [progress]: generating rewritten candidates 5.004 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.125 * * * [progress]: generating series expansions 5.125 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.125 * [backup-simplify]: Simplify (+ (* y (* 2 x)) (* y y)) into (+ (pow y 2) (* 2 (* x y))) 5.125 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (y x) around 0 5.125 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 5.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.125 * [taylor]: Taking taylor expansion of y in x 5.125 * [backup-simplify]: Simplify y into y 5.125 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.125 * [taylor]: Taking taylor expansion of 2 in x 5.125 * [backup-simplify]: Simplify 2 into 2 5.125 * [taylor]: Taking taylor expansion of (* x y) in x 5.125 * [taylor]: Taking taylor expansion of x in x 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [taylor]: Taking taylor expansion of y in x 5.125 * [backup-simplify]: Simplify y into y 5.126 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.126 * [taylor]: Taking taylor expansion of y in y 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.126 * [taylor]: Taking taylor expansion of 2 in y 5.126 * [backup-simplify]: Simplify 2 into 2 5.126 * [taylor]: Taking taylor expansion of (* x y) in y 5.126 * [taylor]: Taking taylor expansion of x in y 5.126 * [backup-simplify]: Simplify x into x 5.126 * [taylor]: Taking taylor expansion of y in y 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.126 * [taylor]: Taking taylor expansion of y in y 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.126 * [taylor]: Taking taylor expansion of 2 in y 5.126 * [backup-simplify]: Simplify 2 into 2 5.126 * [taylor]: Taking taylor expansion of (* x y) in y 5.126 * [taylor]: Taking taylor expansion of x in y 5.126 * [backup-simplify]: Simplify x into x 5.126 * [taylor]: Taking taylor expansion of y in y 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (* x 0) into 0 5.127 * [backup-simplify]: Simplify (* 2 0) into 0 5.127 * [backup-simplify]: Simplify (+ 0 0) into 0 5.127 * [taylor]: Taking taylor expansion of 0 in x 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.131 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 5.131 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 5.131 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.131 * [taylor]: Taking taylor expansion of 2 in x 5.131 * [backup-simplify]: Simplify 2 into 2 5.131 * [taylor]: Taking taylor expansion of x in x 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (* 2 0) into 0 5.131 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify (* 1 1) into 1 5.132 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 5.133 * [backup-simplify]: Simplify (+ 1 0) into 1 5.133 * [taylor]: Taking taylor expansion of 1 in x 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.134 * [backup-simplify]: Simplify 2 into 2 5.134 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.135 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.137 * [taylor]: Taking taylor expansion of 0 in x 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.139 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [taylor]: Taking taylor expansion of 0 in x 5.140 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 5.141 * [backup-simplify]: Simplify (+ (* (/ 1 y) (* 2 (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 5.141 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 5.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.141 * [taylor]: Taking taylor expansion of y in x 5.141 * [backup-simplify]: Simplify y into y 5.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.141 * [taylor]: Taking taylor expansion of 2 in x 5.141 * [backup-simplify]: Simplify 2 into 2 5.141 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.141 * [taylor]: Taking taylor expansion of (* x y) in x 5.141 * [taylor]: Taking taylor expansion of x in x 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [taylor]: Taking taylor expansion of y in x 5.142 * [backup-simplify]: Simplify y into y 5.142 * [backup-simplify]: Simplify (* 0 y) into 0 5.142 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.142 * [taylor]: Taking taylor expansion of y in y 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [backup-simplify]: Simplify (* 1 1) into 1 5.143 * [backup-simplify]: Simplify (/ 1 1) into 1 5.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.143 * [taylor]: Taking taylor expansion of 2 in y 5.143 * [backup-simplify]: Simplify 2 into 2 5.143 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.143 * [taylor]: Taking taylor expansion of (* x y) in y 5.143 * [taylor]: Taking taylor expansion of x in y 5.143 * [backup-simplify]: Simplify x into x 5.143 * [taylor]: Taking taylor expansion of y in y 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [backup-simplify]: Simplify (* x 0) into 0 5.143 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.144 * [taylor]: Taking taylor expansion of y in y 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (* 1 1) into 1 5.144 * [backup-simplify]: Simplify (/ 1 1) into 1 5.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.144 * [taylor]: Taking taylor expansion of 2 in y 5.144 * [backup-simplify]: Simplify 2 into 2 5.144 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.144 * [taylor]: Taking taylor expansion of (* x y) in y 5.144 * [taylor]: Taking taylor expansion of x in y 5.144 * [backup-simplify]: Simplify x into x 5.144 * [taylor]: Taking taylor expansion of y in y 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (* x 0) into 0 5.145 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.145 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.145 * [backup-simplify]: Simplify (+ 1 0) into 1 5.145 * [taylor]: Taking taylor expansion of 1 in x 5.145 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.147 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.147 * [taylor]: Taking taylor expansion of 2 in x 5.147 * [backup-simplify]: Simplify 2 into 2 5.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.147 * [taylor]: Taking taylor expansion of x in x 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [backup-simplify]: Simplify (/ 1 1) into 1 5.147 * [backup-simplify]: Simplify (* 2 1) into 2 5.147 * [backup-simplify]: Simplify 2 into 2 5.147 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.149 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.150 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.150 * [backup-simplify]: Simplify (+ 0 0) into 0 5.150 * [taylor]: Taking taylor expansion of 0 in x 5.150 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.155 * [backup-simplify]: Simplify (+ 0 0) into 0 5.155 * [taylor]: Taking taylor expansion of 0 in x 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.159 * [backup-simplify]: Simplify (+ 0 0) into 0 5.159 * [taylor]: Taking taylor expansion of 0 in x 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 5.159 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (* 2 (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 5.159 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 5.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.159 * [taylor]: Taking taylor expansion of y in x 5.159 * [backup-simplify]: Simplify y into y 5.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.160 * [taylor]: Taking taylor expansion of 2 in x 5.160 * [backup-simplify]: Simplify 2 into 2 5.160 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.160 * [taylor]: Taking taylor expansion of (* x y) in x 5.160 * [taylor]: Taking taylor expansion of x in x 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of y in x 5.160 * [backup-simplify]: Simplify y into y 5.160 * [backup-simplify]: Simplify (* 0 y) into 0 5.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.160 * [taylor]: Taking taylor expansion of y in y 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (* 1 1) into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.161 * [taylor]: Taking taylor expansion of 2 in y 5.161 * [backup-simplify]: Simplify 2 into 2 5.161 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.161 * [taylor]: Taking taylor expansion of (* x y) in y 5.161 * [taylor]: Taking taylor expansion of x in y 5.161 * [backup-simplify]: Simplify x into x 5.161 * [taylor]: Taking taylor expansion of y in y 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (* x 0) into 0 5.161 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.161 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.161 * [taylor]: Taking taylor expansion of y in y 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (* 1 1) into 1 5.162 * [backup-simplify]: Simplify (/ 1 1) into 1 5.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.162 * [taylor]: Taking taylor expansion of 2 in y 5.162 * [backup-simplify]: Simplify 2 into 2 5.162 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.162 * [taylor]: Taking taylor expansion of (* x y) in y 5.162 * [taylor]: Taking taylor expansion of x in y 5.162 * [backup-simplify]: Simplify x into x 5.162 * [taylor]: Taking taylor expansion of y in y 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (* x 0) into 0 5.162 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.162 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.162 * [backup-simplify]: Simplify (+ 1 0) into 1 5.162 * [taylor]: Taking taylor expansion of 1 in x 5.162 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.164 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.164 * [taylor]: Taking taylor expansion of 2 in x 5.164 * [backup-simplify]: Simplify 2 into 2 5.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.164 * [taylor]: Taking taylor expansion of x in x 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [backup-simplify]: Simplify (* 2 1) into 2 5.164 * [backup-simplify]: Simplify 2 into 2 5.164 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.167 * [backup-simplify]: Simplify (+ 0 0) into 0 5.167 * [taylor]: Taking taylor expansion of 0 in x 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.172 * [backup-simplify]: Simplify (+ 0 0) into 0 5.172 * [taylor]: Taking taylor expansion of 0 in x 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.176 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.177 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [taylor]: Taking taylor expansion of 0 in x 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 5.178 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.178 * [backup-simplify]: Simplify (+ (+ (* y (* 2 x)) (* y y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.178 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 5.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 5.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.178 * [taylor]: Taking taylor expansion of x in x 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 5.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.178 * [taylor]: Taking taylor expansion of y in x 5.178 * [backup-simplify]: Simplify y into y 5.178 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.178 * [taylor]: Taking taylor expansion of 2 in x 5.178 * [backup-simplify]: Simplify 2 into 2 5.178 * [taylor]: Taking taylor expansion of (* x y) in x 5.178 * [taylor]: Taking taylor expansion of x in x 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [taylor]: Taking taylor expansion of y in x 5.179 * [backup-simplify]: Simplify y into y 5.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 5.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.179 * [taylor]: Taking taylor expansion of x in y 5.179 * [backup-simplify]: Simplify x into x 5.179 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.179 * [taylor]: Taking taylor expansion of y in y 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.179 * [taylor]: Taking taylor expansion of 2 in y 5.179 * [backup-simplify]: Simplify 2 into 2 5.179 * [taylor]: Taking taylor expansion of (* x y) in y 5.179 * [taylor]: Taking taylor expansion of x in y 5.179 * [backup-simplify]: Simplify x into x 5.179 * [taylor]: Taking taylor expansion of y in y 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 5.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.179 * [taylor]: Taking taylor expansion of x in y 5.179 * [backup-simplify]: Simplify x into x 5.179 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 5.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.179 * [taylor]: Taking taylor expansion of y in y 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.179 * [taylor]: Taking taylor expansion of 2 in y 5.179 * [backup-simplify]: Simplify 2 into 2 5.179 * [taylor]: Taking taylor expansion of (* x y) in y 5.179 * [taylor]: Taking taylor expansion of x in y 5.179 * [backup-simplify]: Simplify x into x 5.179 * [taylor]: Taking taylor expansion of y in y 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.179 * [backup-simplify]: Simplify (* x 0) into 0 5.180 * [backup-simplify]: Simplify (* 2 0) into 0 5.180 * [backup-simplify]: Simplify (+ 0 0) into 0 5.180 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.180 * [taylor]: Taking taylor expansion of x in x 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.181 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.181 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 5.181 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 5.181 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 5.181 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.181 * [taylor]: Taking taylor expansion of 2 in x 5.181 * [backup-simplify]: Simplify 2 into 2 5.181 * [taylor]: Taking taylor expansion of x in x 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (* 2 0) into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.183 * [backup-simplify]: Simplify (* 1 1) into 1 5.183 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 5.184 * [backup-simplify]: Simplify (+ 1 0) into 1 5.184 * [backup-simplify]: Simplify (+ 0 1) into 1 5.184 * [taylor]: Taking taylor expansion of 1 in x 5.184 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.185 * [backup-simplify]: Simplify 2 into 2 5.185 * [backup-simplify]: Simplify (* 1 1) into 1 5.185 * [backup-simplify]: Simplify 1 into 1 5.186 * [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)))) 5.186 * [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))))) 5.186 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 5.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.186 * [taylor]: Taking taylor expansion of x in x 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (* 1 1) into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.187 * [taylor]: Taking taylor expansion of y in x 5.187 * [backup-simplify]: Simplify y into y 5.187 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.187 * [taylor]: Taking taylor expansion of 2 in x 5.187 * [backup-simplify]: Simplify 2 into 2 5.187 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.187 * [taylor]: Taking taylor expansion of (* x y) in x 5.188 * [taylor]: Taking taylor expansion of x in x 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of y in x 5.188 * [backup-simplify]: Simplify y into y 5.188 * [backup-simplify]: Simplify (* 0 y) into 0 5.188 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.188 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.188 * [taylor]: Taking taylor expansion of x in y 5.188 * [backup-simplify]: Simplify x into x 5.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.188 * [taylor]: Taking taylor expansion of y in y 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.189 * [taylor]: Taking taylor expansion of 2 in y 5.189 * [backup-simplify]: Simplify 2 into 2 5.189 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.189 * [taylor]: Taking taylor expansion of (* x y) in y 5.189 * [taylor]: Taking taylor expansion of x in y 5.189 * [backup-simplify]: Simplify x into x 5.189 * [taylor]: Taking taylor expansion of y in y 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* x 0) into 0 5.190 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.190 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.190 * [taylor]: Taking taylor expansion of x in y 5.190 * [backup-simplify]: Simplify x into x 5.190 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.190 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.190 * [taylor]: Taking taylor expansion of y in y 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (* 1 1) into 1 5.191 * [backup-simplify]: Simplify (/ 1 1) into 1 5.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.191 * [taylor]: Taking taylor expansion of 2 in y 5.191 * [backup-simplify]: Simplify 2 into 2 5.191 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.191 * [taylor]: Taking taylor expansion of (* x y) in y 5.191 * [taylor]: Taking taylor expansion of x in y 5.191 * [backup-simplify]: Simplify x into x 5.191 * [taylor]: Taking taylor expansion of y in y 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify (* x 0) into 0 5.191 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.191 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.192 * [backup-simplify]: Simplify (+ 1 0) into 1 5.192 * [backup-simplify]: Simplify (+ 0 1) into 1 5.192 * [taylor]: Taking taylor expansion of 1 in x 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.193 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.194 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 5.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.194 * [taylor]: Taking taylor expansion of 2 in x 5.194 * [backup-simplify]: Simplify 2 into 2 5.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.194 * [taylor]: Taking taylor expansion of x in x 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (/ 1 1) into 1 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 5.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.197 * [taylor]: Taking taylor expansion of x in x 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 1 into 1 5.197 * [backup-simplify]: Simplify (* 1 1) into 1 5.198 * [backup-simplify]: Simplify (/ 1 1) into 1 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (* 2 1) into 2 5.198 * [backup-simplify]: Simplify 2 into 2 5.198 * [backup-simplify]: Simplify 1 into 1 5.199 * [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)))) 5.199 * [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))))) 5.199 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 5.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 5.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.199 * [taylor]: Taking taylor expansion of x in x 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (/ 1 1) into 1 5.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 5.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.200 * [taylor]: Taking taylor expansion of y in x 5.200 * [backup-simplify]: Simplify y into y 5.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.200 * [taylor]: Taking taylor expansion of 2 in x 5.200 * [backup-simplify]: Simplify 2 into 2 5.200 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.200 * [taylor]: Taking taylor expansion of (* x y) in x 5.200 * [taylor]: Taking taylor expansion of x in x 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [taylor]: Taking taylor expansion of y in x 5.200 * [backup-simplify]: Simplify y into y 5.200 * [backup-simplify]: Simplify (* 0 y) into 0 5.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.201 * [taylor]: Taking taylor expansion of x in y 5.201 * [backup-simplify]: Simplify x into x 5.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.201 * [taylor]: Taking taylor expansion of y in y 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 1 into 1 5.202 * [backup-simplify]: Simplify (* 1 1) into 1 5.202 * [backup-simplify]: Simplify (/ 1 1) into 1 5.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.202 * [taylor]: Taking taylor expansion of 2 in y 5.202 * [backup-simplify]: Simplify 2 into 2 5.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.202 * [taylor]: Taking taylor expansion of (* x y) in y 5.202 * [taylor]: Taking taylor expansion of x in y 5.202 * [backup-simplify]: Simplify x into x 5.202 * [taylor]: Taking taylor expansion of y in y 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [backup-simplify]: Simplify (* x 0) into 0 5.202 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 5.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.203 * [taylor]: Taking taylor expansion of x in y 5.203 * [backup-simplify]: Simplify x into x 5.203 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.203 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 5.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.203 * [taylor]: Taking taylor expansion of y in y 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 1 into 1 5.203 * [backup-simplify]: Simplify (* 1 1) into 1 5.204 * [backup-simplify]: Simplify (/ 1 1) into 1 5.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.204 * [taylor]: Taking taylor expansion of 2 in y 5.204 * [backup-simplify]: Simplify 2 into 2 5.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.204 * [taylor]: Taking taylor expansion of (* x y) in y 5.204 * [taylor]: Taking taylor expansion of x in y 5.204 * [backup-simplify]: Simplify x into x 5.204 * [taylor]: Taking taylor expansion of y in y 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.204 * [backup-simplify]: Simplify (* x 0) into 0 5.204 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.204 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.205 * [backup-simplify]: Simplify (+ 1 0) into 1 5.205 * [backup-simplify]: Simplify (+ 0 1) into 1 5.205 * [taylor]: Taking taylor expansion of 1 in x 5.205 * [backup-simplify]: Simplify 1 into 1 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.206 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 5.206 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 5.206 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 5.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.206 * [taylor]: Taking taylor expansion of 2 in x 5.206 * [backup-simplify]: Simplify 2 into 2 5.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.206 * [taylor]: Taking taylor expansion of x in x 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 1 into 1 5.207 * [backup-simplify]: Simplify (/ 1 1) into 1 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.209 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 5.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.210 * [taylor]: Taking taylor expansion of x in x 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (* 1 1) into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (* 2 1) into 2 5.211 * [backup-simplify]: Simplify 2 into 2 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [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)))) 5.212 * * * [progress]: simplifying candidates 5.212 * [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)))) 5.213 * * [simplify]: Extracting # 0 : cost 0 5.213 * * [simplify]: Extracting # 1 : cost 0 5.214 * * [simplify]: Extracting # 2 : cost 0 5.214 * * [simplify]: Extracting # 3 : cost 0 5.214 * * [simplify]: Extracting # 4 : cost 0 5.214 * * [simplify]: Extracting # 5 : cost 0 5.214 * * [simplify]: Extracting # 6 : cost 0 5.214 * * [simplify]: Extracting # 7 : cost 0 5.214 * * [simplify]: iteration 0 : 57 enodes (cost 528 ) 5.233 * * [simplify]: Extracting # 0 : cost 0 5.234 * * [simplify]: Extracting # 1 : cost 0 5.234 * * [simplify]: Extracting # 2 : cost 0 5.234 * * [simplify]: Extracting # 3 : cost 0 5.235 * * [simplify]: Extracting # 4 : cost 0 5.235 * * [simplify]: iteration 1 : 186 enodes (cost 424 ) 5.352 * * [simplify]: Extracting # 0 : cost 0 5.353 * * [simplify]: Extracting # 1 : cost 0 5.354 * * [simplify]: Extracting # 2 : cost 0 5.355 * * [simplify]: Extracting # 3 : cost 0 5.356 * * [simplify]: Extracting # 4 : cost 0 5.358 * * [simplify]: iteration 2 : 770 enodes (cost 384 ) 6.154 * * [simplify]: Extracting # 0 : cost 0 6.159 * * [simplify]: Extracting # 1 : cost 0 6.164 * * [simplify]: Extracting # 2 : cost 0 6.168 * * [simplify]: Extracting # 3 : cost 0 6.175 * * [simplify]: Extracting # 4 : cost 0 6.180 * * [simplify]: iteration 3 : 3467 enodes (cost 376 ) 7.623 * * [simplify]: Extracting # 0 : cost 0 7.628 * * [simplify]: Extracting # 1 : cost 0 7.633 * * [simplify]: Extracting # 2 : cost 0 7.638 * * [simplify]: Extracting # 3 : cost 0 7.643 * * [simplify]: Extracting # 4 : cost 0 7.648 * * [simplify]: iteration done: 5001 enodes (cost 376 ) 7.648 * [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))) 7.648 * * * [progress]: adding candidates to table 7.726 * [progress]: [Phase 3 of 3] Extracting. 7.728 * [simplify]: Simplifying: (+ (+ (* y (* 2 x)) (* y y)) (* x x)) 7.728 * * [simplify]: Extracting # 0 : cost 0 7.728 * * [simplify]: Extracting # 1 : cost 0 7.728 * * [simplify]: Extracting # 2 : cost 0 7.728 * * [simplify]: Extracting # 3 : cost 0 7.728 * * [simplify]: Extracting # 4 : cost 0 7.728 * * [simplify]: Extracting # 5 : cost 0 7.728 * * [simplify]: Extracting # 6 : cost 0 7.728 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 7.729 * * [simplify]: Extracting # 0 : cost 0 7.729 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 7.730 * * [simplify]: Extracting # 0 : cost 0 7.730 * * [simplify]: iteration done: 13 enodes (cost 13 ) 7.730 * [simplify]: Simplified to: (+ (+ (* y (* 2 x)) (* y y)) (* x x)) 8.789 * [regime-testing]: End program error score: 0.019347657803357596 8.819 * [regime-testing]: Target error score: 0.019597689057264337