5.327 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: Extracting # 1 : cost 0 0.017 * * [simplify]: Extracting # 2 : cost 0 0.017 * * [simplify]: Extracting # 3 : cost 0 0.017 * * [simplify]: Extracting # 4 : cost 0 0.017 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.052 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.100 * * [simplify]: Extracting # 0 : cost 0 0.100 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.101 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.140 * * * [progress]: generating series expansions 0.140 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.140 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.140 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.140 * [taylor]: Taking taylor expansion of (+ x y) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ x 0) into x 0.140 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.140 * [taylor]: Taking taylor expansion of (+ x y) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (+ 0 y) into y 0.140 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.140 * [taylor]: Taking taylor expansion of (+ x y) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (+ 0 y) into y 0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.141 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.141 * [taylor]: Taking taylor expansion of 2 in y 0.141 * [backup-simplify]: Simplify 2 into 2 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 2 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.142 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [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)))) 0.143 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.143 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) 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 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (+ 0 1) into 1 0.144 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (+ 0 1) into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.146 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 2 in y 0.146 * [backup-simplify]: Simplify 2 into 2 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 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 2 1) into 2 0.148 * [backup-simplify]: Simplify 2 into 2 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [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)))) 0.149 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.149 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [backup-simplify]: Simplify x into x 0.149 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.152 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of 2 in y 0.152 * [backup-simplify]: Simplify 2 into 2 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 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 2 1) into 2 0.154 * [backup-simplify]: Simplify 2 into 2 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [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)))) 0.155 * * * [progress]: simplifying candidates 0.155 * [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)))) 0.156 * * [simplify]: Extracting # 0 : cost 0 0.156 * * [simplify]: Extracting # 1 : cost 0 0.156 * * [simplify]: Extracting # 2 : cost 0 0.156 * * [simplify]: Extracting # 3 : cost 0 0.156 * * [simplify]: Extracting # 4 : cost 0 0.156 * * [simplify]: Extracting # 5 : cost 0 0.156 * * [simplify]: Extracting # 6 : cost 0 0.157 * * [simplify]: Extracting # 7 : cost 0 0.157 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.173 * * [simplify]: Extracting # 1 : cost 0 0.173 * * [simplify]: Extracting # 2 : cost 0 0.173 * * [simplify]: Extracting # 3 : cost 0 0.174 * * [simplify]: Extracting # 4 : cost 0 0.174 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.253 * * [simplify]: Extracting # 1 : cost 0 0.254 * * [simplify]: Extracting # 2 : cost 0 0.255 * * [simplify]: Extracting # 3 : cost 0 0.255 * * [simplify]: Extracting # 4 : cost 0 0.256 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 0.945 * * [simplify]: Extracting # 0 : cost 0 0.950 * * [simplify]: Extracting # 1 : cost 0 0.953 * * [simplify]: Extracting # 2 : cost 0 0.956 * * [simplify]: Extracting # 3 : cost 0 0.962 * * [simplify]: Extracting # 4 : cost 0 0.965 * * [simplify]: Extracting # 5 : cost 0 0.968 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 2.070 * * [simplify]: Extracting # 0 : cost 0 2.076 * * [simplify]: Extracting # 1 : cost 0 2.082 * * [simplify]: Extracting # 2 : cost 0 2.086 * * [simplify]: Extracting # 3 : cost 0 2.091 * * [simplify]: Extracting # 4 : cost 0 2.096 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 2.097 * [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)) 2.097 * * * [progress]: adding candidates to table 2.148 * * [progress]: iteration 2 / 4 2.148 * * * [progress]: picking best candidate 2.150 * * * * [pick]: Picked # 2.150 * * * [progress]: localizing error 2.155 * * * [progress]: generating rewritten candidates 2.155 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.171 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.191 * * * [progress]: generating series expansions 2.191 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.191 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.191 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.192 * [taylor]: Taking taylor expansion of x in y 2.192 * [backup-simplify]: Simplify x into x 2.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.192 * [taylor]: Taking taylor expansion of y in y 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.192 * [taylor]: Taking taylor expansion of 2 in y 2.192 * [backup-simplify]: Simplify 2 into 2 2.192 * [taylor]: Taking taylor expansion of (* x y) in y 2.192 * [taylor]: Taking taylor expansion of x in y 2.192 * [backup-simplify]: Simplify x into x 2.192 * [taylor]: Taking taylor expansion of y in y 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.192 * [taylor]: Taking taylor expansion of y in x 2.192 * [backup-simplify]: Simplify y into y 2.192 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.192 * [taylor]: Taking taylor expansion of 2 in x 2.192 * [backup-simplify]: Simplify 2 into 2 2.192 * [taylor]: Taking taylor expansion of (* x y) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of y in x 2.192 * [backup-simplify]: Simplify y into y 2.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.192 * [taylor]: Taking taylor expansion of y in x 2.192 * [backup-simplify]: Simplify y into y 2.192 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.192 * [taylor]: Taking taylor expansion of 2 in x 2.192 * [backup-simplify]: Simplify 2 into 2 2.192 * [taylor]: Taking taylor expansion of (* x y) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of y in x 2.192 * [backup-simplify]: Simplify y into y 2.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.192 * [backup-simplify]: Simplify (* 0 y) into 0 2.193 * [backup-simplify]: Simplify (* 2 0) into 0 2.193 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.193 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.193 * [taylor]: Taking taylor expansion of y in y 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.194 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.194 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.194 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.194 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.194 * [taylor]: Taking taylor expansion of 2 in y 2.194 * [backup-simplify]: Simplify 2 into 2 2.194 * [taylor]: Taking taylor expansion of y in y 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* 2 0) into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (* 1 1) into 1 2.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (+ 1 0) into 1 2.196 * [taylor]: Taking taylor expansion of 1 in y 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.196 * [backup-simplify]: Simplify 2 into 2 2.197 * [backup-simplify]: Simplify (* 1 1) into 1 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.197 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.197 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.197 * [taylor]: Taking taylor expansion of x in y 2.197 * [backup-simplify]: Simplify x into x 2.197 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.198 * [taylor]: Taking taylor expansion of y in y 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.198 * [taylor]: Taking taylor expansion of 2 in y 2.198 * [backup-simplify]: Simplify 2 into 2 2.198 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.198 * [taylor]: Taking taylor expansion of (* x y) in y 2.198 * [taylor]: Taking taylor expansion of x in y 2.198 * [backup-simplify]: Simplify x into x 2.198 * [taylor]: Taking taylor expansion of y in y 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* x 0) into 0 2.198 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [backup-simplify]: Simplify (* 1 1) into 1 2.199 * [backup-simplify]: Simplify (/ 1 1) into 1 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.199 * [taylor]: Taking taylor expansion of y in x 2.199 * [backup-simplify]: Simplify y into y 2.199 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.199 * [taylor]: Taking taylor expansion of 2 in x 2.199 * [backup-simplify]: Simplify 2 into 2 2.199 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.199 * [taylor]: Taking taylor expansion of (* x y) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [taylor]: Taking taylor expansion of y in x 2.199 * [backup-simplify]: Simplify y into y 2.199 * [backup-simplify]: Simplify (* 0 y) into 0 2.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.200 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (* 1 1) into 1 2.200 * [backup-simplify]: Simplify (/ 1 1) into 1 2.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.200 * [taylor]: Taking taylor expansion of y in x 2.200 * [backup-simplify]: Simplify y into y 2.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.200 * [taylor]: Taking taylor expansion of 2 in x 2.200 * [backup-simplify]: Simplify 2 into 2 2.200 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.200 * [taylor]: Taking taylor expansion of (* x y) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [taylor]: Taking taylor expansion of y in x 2.201 * [backup-simplify]: Simplify y into y 2.201 * [backup-simplify]: Simplify (* 0 y) into 0 2.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.201 * [backup-simplify]: Simplify (+ 1 0) into 1 2.201 * [taylor]: Taking taylor expansion of 1 in y 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.202 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.202 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.202 * [taylor]: Taking taylor expansion of 2 in y 2.202 * [backup-simplify]: Simplify 2 into 2 2.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.202 * [taylor]: Taking taylor expansion of y in y 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.204 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.204 * [taylor]: Taking taylor expansion of y in y 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (* 1 1) into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (* 2 1) into 2 2.205 * [backup-simplify]: Simplify 2 into 2 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.206 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.206 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.206 * [taylor]: Taking taylor expansion of x in y 2.206 * [backup-simplify]: Simplify x into x 2.206 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.206 * [taylor]: Taking taylor expansion of y in y 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (* 1 1) into 1 2.206 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.207 * [taylor]: Taking taylor expansion of 2 in y 2.207 * [backup-simplify]: Simplify 2 into 2 2.207 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.207 * [taylor]: Taking taylor expansion of (* x y) in y 2.207 * [taylor]: Taking taylor expansion of x in y 2.207 * [backup-simplify]: Simplify x into x 2.207 * [taylor]: Taking taylor expansion of y in y 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (* x 0) into 0 2.207 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (* 1 1) into 1 2.207 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.208 * [taylor]: Taking taylor expansion of y in x 2.208 * [backup-simplify]: Simplify y into y 2.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.208 * [taylor]: Taking taylor expansion of 2 in x 2.208 * [backup-simplify]: Simplify 2 into 2 2.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.208 * [taylor]: Taking taylor expansion of (* x y) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of y in x 2.208 * [backup-simplify]: Simplify y into y 2.208 * [backup-simplify]: Simplify (* 0 y) into 0 2.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.208 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (* 1 1) into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.209 * [taylor]: Taking taylor expansion of y in x 2.209 * [backup-simplify]: Simplify y into y 2.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.209 * [taylor]: Taking taylor expansion of 2 in x 2.209 * [backup-simplify]: Simplify 2 into 2 2.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.209 * [taylor]: Taking taylor expansion of (* x y) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of y in x 2.209 * [backup-simplify]: Simplify y into y 2.209 * [backup-simplify]: Simplify (* 0 y) into 0 2.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.209 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.210 * [backup-simplify]: Simplify (+ 1 0) into 1 2.210 * [taylor]: Taking taylor expansion of 1 in y 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.211 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.211 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.211 * [taylor]: Taking taylor expansion of 2 in y 2.211 * [backup-simplify]: Simplify 2 into 2 2.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.211 * [taylor]: Taking taylor expansion of y in y 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (/ 1 1) into 1 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.213 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.213 * [taylor]: Taking taylor expansion of y in y 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* 2 1) into 2 2.214 * [backup-simplify]: Simplify 2 into 2 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.214 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.214 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.214 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.214 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.214 * [taylor]: Taking taylor expansion of x in y 2.214 * [backup-simplify]: Simplify x into x 2.214 * [taylor]: Taking taylor expansion of (+ x y) in y 2.214 * [taylor]: Taking taylor expansion of x in y 2.214 * [backup-simplify]: Simplify x into x 2.214 * [taylor]: Taking taylor expansion of y in y 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (+ x y) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of y in x 2.214 * [backup-simplify]: Simplify y into y 2.214 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (+ x y) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of y in x 2.215 * [backup-simplify]: Simplify y into y 2.215 * [backup-simplify]: Simplify (+ 0 y) into y 2.215 * [backup-simplify]: Simplify (* 0 y) into 0 2.215 * [taylor]: Taking taylor expansion of 0 in y 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (+ 1 0) into 1 2.215 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.215 * [taylor]: Taking taylor expansion of y in y 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.216 * [taylor]: Taking taylor expansion of 1 in y 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.217 * [taylor]: Taking taylor expansion of 0 in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.218 * [taylor]: Taking taylor expansion of 0 in y 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.219 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.219 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.219 * [taylor]: Taking taylor expansion of y in y 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.219 * [taylor]: Taking taylor expansion of x in y 2.219 * [backup-simplify]: Simplify x into x 2.219 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.219 * [taylor]: Taking taylor expansion of x in y 2.219 * [backup-simplify]: Simplify x into x 2.219 * [backup-simplify]: Simplify (+ 1 0) into 1 2.219 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.219 * [taylor]: Taking taylor expansion of y in x 2.219 * [backup-simplify]: Simplify y into y 2.219 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (+ 0 1) into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.220 * [taylor]: Taking taylor expansion of y in x 2.220 * [backup-simplify]: Simplify y into y 2.220 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (+ 0 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of 1 in y 2.221 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.222 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.222 * [taylor]: Taking taylor expansion of y in y 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.224 * [taylor]: Taking taylor expansion of 0 in y 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [taylor]: Taking taylor expansion of 0 in y 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.229 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.229 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.229 * [taylor]: Taking taylor expansion of y in y 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.230 * [taylor]: Taking taylor expansion of x in y 2.230 * [backup-simplify]: Simplify x into x 2.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.230 * [taylor]: Taking taylor expansion of x in y 2.230 * [backup-simplify]: Simplify x into x 2.230 * [backup-simplify]: Simplify (+ 1 0) into 1 2.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.230 * [taylor]: Taking taylor expansion of y in x 2.230 * [backup-simplify]: Simplify y into y 2.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (+ 0 1) into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.231 * [taylor]: Taking taylor expansion of y in x 2.231 * [backup-simplify]: Simplify y into y 2.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [taylor]: Taking taylor expansion of x in x 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (+ 0 1) into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [taylor]: Taking taylor expansion of 1 in y 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.233 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.233 * [taylor]: Taking taylor expansion of y in y 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.235 * [taylor]: Taking taylor expansion of 0 in y 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [taylor]: Taking taylor expansion of 0 in y 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [taylor]: Taking taylor expansion of 0 in y 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.240 * * * [progress]: simplifying candidates 2.241 * [simplify]: Simplifying: (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 2.242 * * [simplify]: Extracting # 0 : cost 0 2.242 * * [simplify]: Extracting # 1 : cost 0 2.242 * * [simplify]: Extracting # 2 : cost 0 2.242 * * [simplify]: Extracting # 3 : cost 0 2.242 * * [simplify]: Extracting # 4 : cost 0 2.242 * * [simplify]: Extracting # 5 : cost 0 2.242 * * [simplify]: Extracting # 6 : cost 0 2.242 * * [simplify]: iteration 0 : 88 enodes (cost 643 ) 2.265 * * [simplify]: Extracting # 0 : cost 0 2.266 * * [simplify]: Extracting # 1 : cost 0 2.266 * * [simplify]: Extracting # 2 : cost 0 2.266 * * [simplify]: Extracting # 3 : cost 0 2.266 * * [simplify]: Extracting # 4 : cost 0 2.267 * * [simplify]: Extracting # 5 : cost 0 2.267 * * [simplify]: iteration 1 : 261 enodes (cost 549 ) 2.392 * * [simplify]: Extracting # 0 : cost 0 2.393 * * [simplify]: Extracting # 1 : cost 0 2.394 * * [simplify]: Extracting # 2 : cost 0 2.395 * * [simplify]: Extracting # 3 : cost 0 2.396 * * [simplify]: Extracting # 4 : cost 0 2.397 * * [simplify]: iteration 2 : 991 enodes (cost 481 ) 3.322 * * [simplify]: Extracting # 0 : cost 0 3.327 * * [simplify]: Extracting # 1 : cost 0 3.331 * * [simplify]: Extracting # 2 : cost 0 3.336 * * [simplify]: Extracting # 3 : cost 0 3.340 * * [simplify]: Extracting # 4 : cost 0 3.347 * * [simplify]: Extracting # 5 : cost 0 3.352 * * [simplify]: iteration 3 : 4617 enodes (cost 455 ) 4.724 * * [simplify]: Extracting # 0 : cost 0 4.730 * * [simplify]: Extracting # 1 : cost 0 4.734 * * [simplify]: Extracting # 2 : cost 0 4.739 * * [simplify]: Extracting # 3 : cost 0 4.749 * * [simplify]: Extracting # 4 : cost 0 4.754 * * [simplify]: Extracting # 5 : cost 0 4.758 * * [simplify]: iteration done: 5000 enodes (cost 455 ) 4.758 * [simplify]: Simplified to: (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (* (+ (* x x) (* y (- y x))) (+ (pow x 3) (pow y 3))) (+ x y)) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) y))) (* (- x y) (+ (* x x) (* y (- y x)))) (+ (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) x)) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (* y (- y x)))) (* (* (- x y) (- (pow x 2) (pow y 2))) (+ x y)) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* y (* (+ x y) (- y x))) (* (+ x y) (* x x)))) (* (pow (+ x y) 3) (- x y)) (- (pow x 2) (pow y 2)) (+ x y) (* x (+ x y)) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ x y) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* x (+ x y)) (* x (+ x y)) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (+ (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y (+ y (* 2 x)))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 4.759 * * * [progress]: adding candidates to table 4.832 * * [progress]: iteration 3 / 4 4.833 * * * [progress]: picking best candidate 4.834 * * * * [pick]: Picked # 4.834 * * * [progress]: localizing error 4.844 * * * [progress]: generating rewritten candidates 4.844 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.859 * * * [progress]: generating series expansions 4.859 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.859 * [backup-simplify]: Simplify (* y (+ y (* 2 x))) into (* (+ (* 2 x) y) y) 4.859 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 4.859 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 4.859 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 4.859 * [taylor]: Taking taylor expansion of (* 2 x) in x 4.859 * [taylor]: Taking taylor expansion of 2 in x 4.859 * [backup-simplify]: Simplify 2 into 2 4.859 * [taylor]: Taking taylor expansion of x in x 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of y in x 4.859 * [backup-simplify]: Simplify y into y 4.859 * [taylor]: Taking taylor expansion of y in x 4.859 * [backup-simplify]: Simplify y into y 4.859 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 4.859 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 4.859 * [taylor]: Taking taylor expansion of (* 2 x) in y 4.859 * [taylor]: Taking taylor expansion of 2 in y 4.859 * [backup-simplify]: Simplify 2 into 2 4.859 * [taylor]: Taking taylor expansion of x in y 4.859 * [backup-simplify]: Simplify x into x 4.859 * [taylor]: Taking taylor expansion of y in y 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of y in y 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 4.859 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 4.859 * [taylor]: Taking taylor expansion of (* 2 x) in y 4.859 * [taylor]: Taking taylor expansion of 2 in y 4.859 * [backup-simplify]: Simplify 2 into 2 4.859 * [taylor]: Taking taylor expansion of x in y 4.859 * [backup-simplify]: Simplify x into x 4.859 * [taylor]: Taking taylor expansion of y in y 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of y in y 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.860 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 4.860 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 4.860 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 4.860 * [taylor]: Taking taylor expansion of 0 in x 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 4.860 * [backup-simplify]: Simplify (+ 0 1) into 1 4.861 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 4.861 * [taylor]: Taking taylor expansion of (* 2 x) in x 4.861 * [taylor]: Taking taylor expansion of 2 in x 4.861 * [backup-simplify]: Simplify 2 into 2 4.861 * [taylor]: Taking taylor expansion of x in x 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify (* 2 0) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 4.862 * [taylor]: Taking taylor expansion of 1 in x 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.863 * [backup-simplify]: Simplify 2 into 2 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.864 * [taylor]: Taking taylor expansion of 0 in x 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.866 * [taylor]: Taking taylor expansion of 0 in x 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 4.867 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 4.867 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 4.867 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 4.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 4.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.867 * [taylor]: Taking taylor expansion of y in x 4.867 * [backup-simplify]: Simplify y into y 4.867 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.867 * [taylor]: Taking taylor expansion of 2 in x 4.867 * [backup-simplify]: Simplify 2 into 2 4.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.867 * [taylor]: Taking taylor expansion of x in x 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.867 * [backup-simplify]: Simplify (/ 1 1) into 1 4.867 * [taylor]: Taking taylor expansion of y in x 4.867 * [backup-simplify]: Simplify y into y 4.868 * [backup-simplify]: Simplify (* 2 1) into 2 4.868 * [backup-simplify]: Simplify (+ 0 2) into 2 4.868 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 4.868 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 4.868 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 4.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.868 * [taylor]: Taking taylor expansion of y in y 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 4.868 * [taylor]: Taking taylor expansion of 2 in y 4.868 * [backup-simplify]: Simplify 2 into 2 4.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.868 * [taylor]: Taking taylor expansion of x in y 4.868 * [backup-simplify]: Simplify x into x 4.868 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.868 * [taylor]: Taking taylor expansion of y in y 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.869 * [backup-simplify]: Simplify (+ 1 0) into 1 4.869 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 4.869 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 4.869 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.869 * [taylor]: Taking taylor expansion of y in y 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 4.869 * [taylor]: Taking taylor expansion of 2 in y 4.869 * [backup-simplify]: Simplify 2 into 2 4.869 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.869 * [taylor]: Taking taylor expansion of x in y 4.869 * [backup-simplify]: Simplify x into x 4.869 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.869 * [taylor]: Taking taylor expansion of y in y 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (+ 1 0) into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.870 * [taylor]: Taking taylor expansion of 1 in x 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 4.870 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 4.871 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 4.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.871 * [taylor]: Taking taylor expansion of 2 in x 4.871 * [backup-simplify]: Simplify 2 into 2 4.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.871 * [taylor]: Taking taylor expansion of x in x 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [backup-simplify]: Simplify (/ 1 1) into 1 4.871 * [backup-simplify]: Simplify (* 2 1) into 2 4.871 * [backup-simplify]: Simplify 2 into 2 4.871 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 4.872 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 4.873 * [taylor]: Taking taylor expansion of 0 in x 4.873 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.875 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.876 * [taylor]: Taking taylor expansion of 0 in x 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.880 * [taylor]: Taking taylor expansion of 0 in x 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 4.880 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 4.881 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 4.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 4.881 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 4.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.881 * [taylor]: Taking taylor expansion of y in x 4.881 * [backup-simplify]: Simplify y into y 4.881 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.881 * [taylor]: Taking taylor expansion of 2 in x 4.881 * [backup-simplify]: Simplify 2 into 2 4.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.881 * [taylor]: Taking taylor expansion of x in x 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [taylor]: Taking taylor expansion of y in x 4.881 * [backup-simplify]: Simplify y into y 4.881 * [backup-simplify]: Simplify (* 2 1) into 2 4.881 * [backup-simplify]: Simplify (+ 0 2) into 2 4.882 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 4.882 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 4.882 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 4.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.882 * [taylor]: Taking taylor expansion of y in y 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.882 * [backup-simplify]: Simplify (/ 1 1) into 1 4.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 4.882 * [taylor]: Taking taylor expansion of 2 in y 4.882 * [backup-simplify]: Simplify 2 into 2 4.882 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.882 * [taylor]: Taking taylor expansion of x in y 4.882 * [backup-simplify]: Simplify x into x 4.882 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.882 * [taylor]: Taking taylor expansion of y in y 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.882 * [backup-simplify]: Simplify (+ 1 0) into 1 4.882 * [backup-simplify]: Simplify (/ 1 1) into 1 4.882 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 4.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 4.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.883 * [taylor]: Taking taylor expansion of y in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 4.883 * [taylor]: Taking taylor expansion of 2 in y 4.883 * [backup-simplify]: Simplify 2 into 2 4.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.883 * [taylor]: Taking taylor expansion of x in y 4.883 * [backup-simplify]: Simplify x into x 4.883 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.883 * [taylor]: Taking taylor expansion of y in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (+ 1 0) into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [taylor]: Taking taylor expansion of 1 in x 4.883 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.884 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 4.884 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 4.884 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 4.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.884 * [taylor]: Taking taylor expansion of 2 in x 4.884 * [backup-simplify]: Simplify 2 into 2 4.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.884 * [taylor]: Taking taylor expansion of x in x 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [backup-simplify]: Simplify (* 2 1) into 2 4.885 * [backup-simplify]: Simplify 2 into 2 4.885 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 4.886 * [backup-simplify]: Simplify (+ 0 0) into 0 4.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 4.887 * [taylor]: Taking taylor expansion of 0 in x 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.889 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.890 * [taylor]: Taking taylor expansion of 0 in x 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [taylor]: Taking taylor expansion of 0 in x 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 4.894 * * * [progress]: simplifying candidates 4.895 * [simplify]: Simplifying: (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 4.895 * * [simplify]: Extracting # 0 : cost 0 4.895 * * [simplify]: Extracting # 1 : cost 0 4.895 * * [simplify]: Extracting # 2 : cost 0 4.895 * * [simplify]: Extracting # 3 : cost 0 4.895 * * [simplify]: Extracting # 4 : cost 0 4.896 * * [simplify]: Extracting # 5 : cost 0 4.896 * * [simplify]: Extracting # 6 : cost 0 4.896 * * [simplify]: iteration 0 : 47 enodes (cost 253 ) 4.909 * * [simplify]: Extracting # 0 : cost 0 4.909 * * [simplify]: Extracting # 1 : cost 0 4.909 * * [simplify]: Extracting # 2 : cost 0 4.909 * * [simplify]: Extracting # 3 : cost 0 4.909 * * [simplify]: Extracting # 4 : cost 0 4.910 * * [simplify]: iteration 1 : 143 enodes (cost 240 ) 4.964 * * [simplify]: Extracting # 0 : cost 0 4.965 * * [simplify]: Extracting # 1 : cost 0 4.965 * * [simplify]: Extracting # 2 : cost 0 4.966 * * [simplify]: Extracting # 3 : cost 0 4.966 * * [simplify]: iteration 2 : 470 enodes (cost 214 ) 5.288 * * [simplify]: Extracting # 0 : cost 0 5.291 * * [simplify]: Extracting # 1 : cost 0 5.292 * * [simplify]: Extracting # 2 : cost 0 5.294 * * [simplify]: Extracting # 3 : cost 0 5.295 * * [simplify]: Extracting # 4 : cost 0 5.296 * * [simplify]: iteration 3 : 1808 enodes (cost 214 ) 5.907 * * [simplify]: Extracting # 0 : cost 0 5.912 * * [simplify]: Extracting # 1 : cost 0 5.917 * * [simplify]: Extracting # 2 : cost 0 5.922 * * [simplify]: Extracting # 3 : cost 0 5.927 * * [simplify]: Extracting # 4 : cost 0 5.932 * * [simplify]: iteration done: 5000 enodes (cost 214 ) 5.932 * [simplify]: Simplified to: (* (+ y (* 2 x)) y) (log (* (+ y (* 2 x)) y)) (log (* (+ y (* 2 x)) y)) (exp (* y (+ y (* 2 x)))) (pow (* (+ y (* 2 x)) y) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* (+ y (* 2 x)) y) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* (+ y (* 2 x)) y) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* 4 (* x x)))) (* (+ y (* 2 x)) y) (* (+ y (* 2 x)) y) (* (+ y (* 2 x)) y) 5.932 * * * [progress]: adding candidates to table 5.974 * [progress]: [Phase 3 of 3] Extracting. 5.974 * * [regime]: Finding splitpoints for: (# #) 5.974 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.974 * * * * [regimes]: Trying to branch on y from (# #) 5.986 * * * * [regimes]: Trying to branch on x from (# #) 5.995 * * * [regime]: Found split indices: #