12.125 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.022 * [simplify]: Sending expressions to egg_math: (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) 0.024 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.027 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.029 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.032 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.038 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.048 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.082 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.122 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.131 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.131 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.131 * [taylor]: Taking taylor expansion of (+ x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (- x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ x 0) into x 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ x 0) into x 0.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.133 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.133 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.133 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.133 * [taylor]: Taking taylor expansion of (+ x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [taylor]: Taking taylor expansion of (- x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (+ 0 y) into y 0.133 * [backup-simplify]: Simplify (- y) into (- y) 0.133 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.133 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.134 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.134 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.134 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.134 * [taylor]: Taking taylor expansion of (+ x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [taylor]: Taking taylor expansion of (- x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (+ 0 y) into y 0.134 * [backup-simplify]: Simplify (- y) into (- y) 0.134 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.134 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.134 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.134 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.134 * [taylor]: Taking taylor expansion of -1 in y 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [backup-simplify]: Simplify -1 into -1 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of 2 in y 0.138 * [backup-simplify]: Simplify 2 into 2 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify -1 into -1 0.144 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.144 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.144 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [backup-simplify]: Simplify x into x 0.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.146 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (* -1 1) into -1 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [backup-simplify]: Simplify (/ -1 1) into -1 0.147 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 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 * [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 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 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 * [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 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) 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 (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.153 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.153 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [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))) 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.159 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.159 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of 2 in y 0.159 * [backup-simplify]: Simplify 2 into 2 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.167 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.167 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [backup-simplify]: Simplify -1 into -1 0.170 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (* 1 -1) into -1 0.173 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (/ -1 1) into -1 0.173 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [backup-simplify]: Simplify -1 into -1 0.173 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [backup-simplify]: Simplify y into y 0.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (* 1 -1) into -1 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (/ -1 1) into -1 0.176 * [backup-simplify]: Simplify (* -1 -1) into 1 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.177 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.183 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.184 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [backup-simplify]: Simplify 2 into 2 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.193 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.193 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [backup-simplify]: Simplify x into x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.193 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.202 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.202 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [backup-simplify]: Simplify x into x 0.202 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.202 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [backup-simplify]: Simplify y into y 0.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.213 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.214 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.223 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.224 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h0 h1)) (log (+ h0 h1))) (log (+ (* h0 h0) (* h1 h1)))) (- (log (* (- h0 h1) (+ h0 h1))) (log (+ (* h0 h0) (* h1 h1)))) (log (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (/ (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))) (/ (* (* (* (- h0 h1) (+ h0 h1)) (* (- h0 h1) (+ h0 h1))) (* (- h0 h1) (+ h0 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))) (* (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (* (* (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (- (* (- h0 h1) (+ h0 h1))) (- (+ (* h0 h0) (* h1 h1))) (/ (- h0 h1) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (+ h0 h1) (cbrt (+ (* h0 h0) (* h1 h1)))) (/ (- h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (+ h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (- h0 h1) 1) (/ (+ h0 h1) (+ (* h0 h0) (* h1 h1))) (/ 1 (+ (* h0 h0) (* h1 h1))) (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) (/ (* (- h0 h1) (+ h0 h1)) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (* (- h0 h1) (+ h0 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (+ h0 h1)) 1) (/ (+ (* h0 h0) (* h1 h1)) (+ h0 h1)) (/ (* (- h0 h1) (+ h0 h1)) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (/ (* (- h0 h1) (+ h0 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (* (+ (* h0 h0) (* h1 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (+ (* h0 h0) (* h1 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (* (+ h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (+ (* h0 h0) (* h1 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) -1 1 1 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.228 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.235 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.262 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.264 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 2 / 4 0.370 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.375 * * * [progress]: localizing error 0.375 * * * [progress]: generating rewritten candidates 0.375 * * * [progress]: generating series expansions 0.375 * * * [progress]: simplifying candidates 0.376 * [simplify]: Simplifying: 0.376 * [simplify]: Sending expressions to egg_math: 0.377 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.377 * * * [progress]: adding candidates to table 0.378 * * [progress]: iteration 3 / 4 0.378 * * * [progress]: picking best candidate 0.382 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.394 * * * [progress]: generating rewritten candidates 0.394 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.423 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.431 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.456 * * * [progress]: generating series expansions 0.456 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.457 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.457 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.457 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.457 * [taylor]: Taking taylor expansion of (+ x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [backup-simplify]: Simplify x into x 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of (- x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [backup-simplify]: Simplify x into x 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [backup-simplify]: Simplify x into x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (+ x 0) into x 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ x 0) into x 0.458 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.458 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.458 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.458 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.458 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.458 * [taylor]: Taking taylor expansion of (+ x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [backup-simplify]: Simplify y into y 0.458 * [taylor]: Taking taylor expansion of (- x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [backup-simplify]: Simplify y into y 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [backup-simplify]: Simplify y into y 0.458 * [backup-simplify]: Simplify (+ 0 y) into y 0.458 * [backup-simplify]: Simplify (- y) into (- y) 0.458 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.458 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.458 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.458 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.459 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.459 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.459 * [taylor]: Taking taylor expansion of (+ x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [backup-simplify]: Simplify y into y 0.459 * [taylor]: Taking taylor expansion of (- x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [backup-simplify]: Simplify y into y 0.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [backup-simplify]: Simplify y into y 0.459 * [backup-simplify]: Simplify (+ 0 y) into y 0.459 * [backup-simplify]: Simplify (- y) into (- y) 0.459 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.459 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.459 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.459 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.459 * [taylor]: Taking taylor expansion of -1 in y 0.459 * [backup-simplify]: Simplify -1 into -1 0.459 * [backup-simplify]: Simplify -1 into -1 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.463 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of 2 in y 0.463 * [backup-simplify]: Simplify 2 into 2 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify -1 into -1 0.469 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.469 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.469 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.470 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.470 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (- 1) into -1 0.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (* -1 1) into -1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (/ -1 1) into -1 0.472 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.472 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [backup-simplify]: Simplify y into y 0.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [backup-simplify]: Simplify y into y 0.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [backup-simplify]: Simplify y into y 0.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.473 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [backup-simplify]: Simplify y into y 0.475 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [backup-simplify]: Simplify y into y 0.475 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [backup-simplify]: Simplify y into y 0.476 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.476 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (+ 0 1) into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of 1 in y 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.481 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.481 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.487 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of 2 in y 0.487 * [backup-simplify]: Simplify 2 into 2 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.495 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [backup-simplify]: Simplify -1 into -1 0.495 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [backup-simplify]: Simplify x into x 0.496 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [backup-simplify]: Simplify x into x 0.496 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [backup-simplify]: Simplify x into x 0.496 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.496 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ 0 1) into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.498 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [backup-simplify]: Simplify y into y 0.499 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [backup-simplify]: Simplify y into y 0.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.500 * [backup-simplify]: Simplify (+ 0 1) into 1 0.500 * [backup-simplify]: Simplify (- 1) into -1 0.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.501 * [backup-simplify]: Simplify (* 1 -1) into -1 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [backup-simplify]: Simplify (/ -1 1) into -1 0.501 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [backup-simplify]: Simplify y into y 0.501 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [backup-simplify]: Simplify y into y 0.503 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.503 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.503 * [backup-simplify]: Simplify (+ 0 1) into 1 0.503 * [backup-simplify]: Simplify (- 1) into -1 0.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.504 * [backup-simplify]: Simplify (* 1 -1) into -1 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (/ -1 1) into -1 0.505 * [backup-simplify]: Simplify (* -1 -1) into 1 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.506 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.512 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.512 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.512 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.512 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.512 * [taylor]: Taking taylor expansion of 2 in y 0.512 * [backup-simplify]: Simplify 2 into 2 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.521 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.521 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [backup-simplify]: Simplify x into x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.521 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [taylor]: Taking taylor expansion of 1 in y 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.526 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.526 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [backup-simplify]: Simplify x into x 0.526 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.526 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [backup-simplify]: Simplify y into y 0.528 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [backup-simplify]: Simplify y into y 0.528 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [taylor]: Taking taylor expansion of 1 in y 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.537 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.537 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [backup-simplify]: Simplify x into x 0.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.537 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [backup-simplify]: Simplify y into y 0.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.539 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.539 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.540 * [backup-simplify]: Simplify (+ 1 0) into 1 0.540 * [taylor]: Taking taylor expansion of 1 in y 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.548 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.548 * [backup-simplify]: Simplify (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.548 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.548 * [taylor]: Taking taylor expansion of (+ x y) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [backup-simplify]: Simplify x into x 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (- x y) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [backup-simplify]: Simplify x into x 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [backup-simplify]: Simplify x into x 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ x 0) into x 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ x 0) into x 0.549 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.549 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.549 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.549 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.549 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.549 * [taylor]: Taking taylor expansion of (+ x y) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [backup-simplify]: Simplify y into y 0.549 * [taylor]: Taking taylor expansion of (- x y) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [backup-simplify]: Simplify y into y 0.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [backup-simplify]: Simplify y into y 0.549 * [backup-simplify]: Simplify (+ 0 y) into y 0.550 * [backup-simplify]: Simplify (- y) into (- y) 0.550 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.550 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.550 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.550 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.550 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.550 * [taylor]: Taking taylor expansion of (+ x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [backup-simplify]: Simplify y into y 0.550 * [taylor]: Taking taylor expansion of (- x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [backup-simplify]: Simplify y into y 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [backup-simplify]: Simplify y into y 0.550 * [backup-simplify]: Simplify (+ 0 y) into y 0.550 * [backup-simplify]: Simplify (- y) into (- y) 0.550 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.550 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.550 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.551 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.551 * [taylor]: Taking taylor expansion of -1 in y 0.551 * [backup-simplify]: Simplify -1 into -1 0.551 * [backup-simplify]: Simplify -1 into -1 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.552 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.554 * [backup-simplify]: Simplify (+ 1 0) into 1 0.554 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of 2 in y 0.554 * [backup-simplify]: Simplify 2 into 2 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [backup-simplify]: Simplify (log (exp (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.560 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.560 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [backup-simplify]: Simplify x into x 0.560 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [backup-simplify]: Simplify x into x 0.561 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [backup-simplify]: Simplify x into x 0.561 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.561 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [backup-simplify]: Simplify (- 1) into -1 0.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.562 * [backup-simplify]: Simplify (* -1 1) into -1 0.563 * [backup-simplify]: Simplify (+ 0 1) into 1 0.563 * [backup-simplify]: Simplify (/ -1 1) into -1 0.563 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.563 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [backup-simplify]: Simplify y into y 0.563 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [backup-simplify]: Simplify y into y 0.563 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [backup-simplify]: Simplify y into y 0.564 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.565 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (+ 0 1) into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.566 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [backup-simplify]: Simplify y into y 0.566 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [backup-simplify]: Simplify y into y 0.566 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [backup-simplify]: Simplify y into y 0.567 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.567 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.568 * [backup-simplify]: Simplify (+ 1 0) into 1 0.568 * [backup-simplify]: Simplify (+ 0 1) into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (+ 1 0) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.570 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.570 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.580 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.580 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of 2 in y 0.580 * [backup-simplify]: Simplify 2 into 2 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (log (exp (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.588 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.588 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.588 * [taylor]: Taking taylor expansion of -1 in y 0.588 * [backup-simplify]: Simplify -1 into -1 0.588 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.589 * [backup-simplify]: Simplify x into x 0.589 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [backup-simplify]: Simplify x into x 0.589 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [backup-simplify]: Simplify x into x 0.589 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.589 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (+ 0 1) into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [backup-simplify]: Simplify -1 into -1 0.591 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.591 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [backup-simplify]: Simplify y into y 0.591 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [backup-simplify]: Simplify y into y 0.591 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [backup-simplify]: Simplify y into y 0.592 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.593 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.593 * [backup-simplify]: Simplify (+ 0 1) into 1 0.593 * [backup-simplify]: Simplify (- 1) into -1 0.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.594 * [backup-simplify]: Simplify (* 1 -1) into -1 0.594 * [backup-simplify]: Simplify (+ 1 0) into 1 0.594 * [backup-simplify]: Simplify (/ -1 1) into -1 0.594 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.594 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [backup-simplify]: Simplify y into y 0.594 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [backup-simplify]: Simplify y into y 0.595 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [backup-simplify]: Simplify y into y 0.596 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.596 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.596 * [backup-simplify]: Simplify (+ 0 1) into 1 0.596 * [backup-simplify]: Simplify (- 1) into -1 0.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.597 * [backup-simplify]: Simplify (* 1 -1) into -1 0.597 * [backup-simplify]: Simplify (+ 1 0) into 1 0.597 * [backup-simplify]: Simplify (/ -1 1) into -1 0.597 * [backup-simplify]: Simplify (* -1 -1) into 1 0.597 * [taylor]: Taking taylor expansion of 1 in y 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.599 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.604 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.605 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.605 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.605 * [taylor]: Taking taylor expansion of 2 in y 0.605 * [backup-simplify]: Simplify 2 into 2 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * * * [progress]: simplifying candidates 0.615 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (log (* (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log 1) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (exp (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (exp (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (log (exp (/ (- x y) (sqrt (+ (* x x) (* y y)))))) (log (exp (/ (- x y) 1))) (log (exp 1)) (log (exp (* (- x y) (+ x y)))) (log (exp (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))))) (log (exp (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (log (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (exp (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (* (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (* (* (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) -1 1 1 0.615 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h0 h1)) (log (+ h0 h1))) (log (+ (* h0 h0) (* h1 h1)))) (- (log (* (- h0 h1) (+ h0 h1))) (log (+ (* h0 h0) (* h1 h1)))) (log (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (/ (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))) (/ (* (* (* (- h0 h1) (+ h0 h1)) (* (- h0 h1) (+ h0 h1))) (* (- h0 h1) (+ h0 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))) (* (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (* (* (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (- (* (- h0 h1) (+ h0 h1))) (- (+ (* h0 h0) (* h1 h1))) (/ (- h0 h1) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (+ h0 h1) (cbrt (+ (* h0 h0) (* h1 h1)))) (/ (- h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (+ h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (- h0 h1) 1) (/ (+ h0 h1) (+ (* h0 h0) (* h1 h1))) (/ 1 (+ (* h0 h0) (* h1 h1))) (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) (/ (* (- h0 h1) (+ h0 h1)) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (* (- h0 h1) (+ h0 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (+ h0 h1)) 1) (/ (+ (* h0 h0) (* h1 h1)) (+ h0 h1)) (/ (* (- h0 h1) (+ h0 h1)) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (/ (* (- h0 h1) (+ h0 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (* (+ (* h0 h0) (* h1 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (+ (* h0 h0) (* h1 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (* (+ h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (+ (* h0 h0) (* h1 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (log (* (cbrt (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (cbrt (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))))) (log (cbrt (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (log (sqrt (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (log (sqrt (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (log 1) (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (log (exp (* (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))))) (log (exp (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (log (exp (/ (- h0 h1) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (log (exp (/ (- h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))))) (log (exp (/ (- h0 h1) 1))) (log (exp 1)) (log (exp (* (- h0 h1) (+ h0 h1)))) (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (log (exp (/ (* (- h0 h1) (+ h0 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (log (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (exp (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (cbrt (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))))) (cbrt (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (* (* (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (sqrt (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) (sqrt (log (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))))) -1 1 1 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) -1 1 1 0.620 * * [simplify]: iteration 0 : 348 enodes (cost 599 ) 0.627 * * [simplify]: iteration 1 : 1931 enodes (cost 516 ) 0.655 * * [simplify]: iteration 2 : 5001 enodes (cost 501 ) 0.658 * * * [progress]: adding candidates to table 0.832 * * [progress]: iteration 4 / 4 0.832 * * * [progress]: picking best candidate 0.835 * * * * [pick]: Picked # 0.835 * * * [progress]: localizing error 0.845 * * * [progress]: generating rewritten candidates 0.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.890 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.932 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.978 * * * [progress]: generating series expansions 0.979 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.979 * [backup-simplify]: Simplify (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 0.979 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.979 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 0.979 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.979 * [backup-simplify]: Simplify x into x 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.979 * [backup-simplify]: Simplify x into x 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.979 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.979 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.979 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.980 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.980 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.980 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [backup-simplify]: Simplify y into y 0.980 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [backup-simplify]: Simplify y into y 0.980 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.980 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.980 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.980 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.980 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.980 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 0.980 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.980 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [backup-simplify]: Simplify y into y 0.980 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [backup-simplify]: Simplify y into y 0.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.981 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.981 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.981 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.981 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 0.981 * [taylor]: Taking taylor expansion of -1 in y 0.981 * [backup-simplify]: Simplify -1 into -1 0.981 * [backup-simplify]: Simplify -1 into -1 0.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.982 * [backup-simplify]: Simplify (- 0) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.984 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of 2 in y 0.984 * [backup-simplify]: Simplify 2 into 2 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.988 * [backup-simplify]: Simplify (- 0) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.989 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify -1 into -1 0.990 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.990 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.990 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.991 * [backup-simplify]: Simplify x into x 0.991 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.991 * [backup-simplify]: Simplify (* 1 1) into 1 0.991 * [backup-simplify]: Simplify (/ 1 1) into 1 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.991 * [taylor]: Taking taylor expansion of x in y 0.991 * [backup-simplify]: Simplify x into x 0.991 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (* 1 1) into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.992 * [backup-simplify]: Simplify (- 1) into -1 0.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.993 * [backup-simplify]: Simplify (+ 0 1) into 1 0.993 * [backup-simplify]: Simplify (/ -1 1) into -1 0.993 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.993 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [backup-simplify]: Simplify y into y 0.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [backup-simplify]: Simplify (* 1 1) into 1 0.994 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [backup-simplify]: Simplify y into y 0.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.995 * [backup-simplify]: Simplify (+ 1 0) into 1 0.995 * [backup-simplify]: Simplify (+ 1 0) into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.995 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (* 1 1) into 1 0.996 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [backup-simplify]: Simplify y into y 0.996 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (* 1 1) into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [backup-simplify]: Simplify y into y 0.997 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.997 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.997 * [backup-simplify]: Simplify (+ 1 0) into 1 0.997 * [backup-simplify]: Simplify (+ 1 0) into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [taylor]: Taking taylor expansion of 1 in y 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.001 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.003 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.003 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.003 * [taylor]: Taking taylor expansion of 2 in y 1.003 * [backup-simplify]: Simplify 2 into 2 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.008 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.011 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.011 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.011 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [backup-simplify]: Simplify x into x 1.011 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.011 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (* 1 1) into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [backup-simplify]: Simplify x into x 1.012 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.012 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (* 1 1) into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.013 * [backup-simplify]: Simplify (- 1) into -1 1.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.013 * [backup-simplify]: Simplify (+ 0 1) into 1 1.013 * [backup-simplify]: Simplify (/ -1 1) into -1 1.013 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.013 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ 1 1) into 1 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.014 * [taylor]: Taking taylor expansion of y in x 1.014 * [backup-simplify]: Simplify y into y 1.014 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.015 * [backup-simplify]: Simplify (/ 1 1) into 1 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [backup-simplify]: Simplify y into y 1.015 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.015 * [backup-simplify]: Simplify (+ 1 0) into 1 1.015 * [backup-simplify]: Simplify (+ 1 0) into 1 1.016 * [backup-simplify]: Simplify (/ 1 1) into 1 1.016 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.016 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (/ 1 1) into 1 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [backup-simplify]: Simplify y into y 1.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.016 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.017 * [backup-simplify]: Simplify (/ 1 1) into 1 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [backup-simplify]: Simplify y into y 1.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.017 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.017 * [backup-simplify]: Simplify (+ 1 0) into 1 1.017 * [backup-simplify]: Simplify (+ 1 0) into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [taylor]: Taking taylor expansion of 1 in y 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.020 * [taylor]: Taking taylor expansion of 0 in y 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.021 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.023 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.023 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.023 * [taylor]: Taking taylor expansion of 2 in y 1.023 * [backup-simplify]: Simplify 2 into 2 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (* 1 1) into 1 1.024 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.026 * [backup-simplify]: Simplify (- 0) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.027 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.030 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.030 * [backup-simplify]: Simplify (* (- x y) (- (* x x) (* y y))) into (* (- (pow x 2) (pow y 2)) (- x y)) 1.030 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (- x y)) in (x y) around 0 1.030 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (- x y)) in y 1.030 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [backup-simplify]: Simplify x into x 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of (- x y) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.031 * [backup-simplify]: Simplify x into x 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (- x y)) in x 1.031 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [backup-simplify]: Simplify y into y 1.031 * [taylor]: Taking taylor expansion of (- x y) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [backup-simplify]: Simplify y into y 1.031 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (- x y)) in x 1.031 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [backup-simplify]: Simplify y into y 1.031 * [taylor]: Taking taylor expansion of (- x y) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [backup-simplify]: Simplify y into y 1.031 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.031 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.031 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.031 * [backup-simplify]: Simplify (- y) into (- y) 1.031 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.031 * [backup-simplify]: Simplify (* (- (pow y 2)) (- y)) into (pow y 3) 1.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ 1 0) into 1 1.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (* 0 (- y))) into (- (pow y 2)) 1.033 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (- 0) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.034 * [backup-simplify]: Simplify (- 0) into 0 1.034 * [backup-simplify]: Simplify (+ 1 0) into 1 1.034 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 1) (* 1 (- y)))) into (- y) 1.035 * [taylor]: Taking taylor expansion of (- y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (- 0) into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (- 0) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.036 * [backup-simplify]: Simplify (- 0) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 0) (+ (* 1 1) (* 0 (- y))))) into 1 1.037 * [taylor]: Taking taylor expansion of 1 in y 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (- 1) into -1 1.037 * [backup-simplify]: Simplify -1 into -1 1.038 * [backup-simplify]: Simplify (* 1 1) into 1 1.038 * [backup-simplify]: Simplify (- 1) into -1 1.038 * [backup-simplify]: Simplify -1 into -1 1.038 * [backup-simplify]: Simplify (+ (* -1 (* (pow y 2) x)) (+ (* -1 (* y (pow x 2))) (* 1 (pow (* 1 x) 3)))) into (- (pow x 3) (+ (* x (pow y 2)) (* (pow x 2) y))) 1.039 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (* (- (/ 1 x) (/ 1 y)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.039 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.039 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.039 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [backup-simplify]: Simplify x into x 1.039 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (/ 1 1) into 1 1.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [backup-simplify]: Simplify x into x 1.039 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.039 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.040 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [backup-simplify]: Simplify y into y 1.040 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.040 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (* 1 1) into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [backup-simplify]: Simplify y into y 1.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.041 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [backup-simplify]: Simplify y into y 1.041 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.041 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [backup-simplify]: Simplify y into y 1.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.042 * [backup-simplify]: Simplify (+ 1 0) into 1 1.043 * [backup-simplify]: Simplify (+ 1 0) into 1 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [taylor]: Taking taylor expansion of 1 in y 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.044 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 y)) 1)) into (- (/ 1 y)) 1.045 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (/ 1 1) into 1 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.046 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* (- (/ 1 y)) 0) (* 0 1))) into (- (/ 1 (pow y 2))) 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (* 1 1) into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.049 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y 3)) 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.051 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (* 1 1) into 1 1.052 * [backup-simplify]: Simplify (* 1 1) into 1 1.052 * [backup-simplify]: Simplify (/ 1 1) into 1 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (- 1) into -1 1.052 * [backup-simplify]: Simplify -1 into -1 1.053 * [backup-simplify]: Simplify (- 1) into -1 1.053 * [backup-simplify]: Simplify -1 into -1 1.053 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) (+ (* -1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 3)))) into (- (pow y 3) (+ (* x (pow y 2)) (* (pow x 2) y))) 1.053 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) 1.053 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 1.053 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y 1.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [backup-simplify]: Simplify x into x 1.053 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.054 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (* 1 1) into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (/ 1 1) into 1 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.059 * [backup-simplify]: Simplify x into x 1.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.059 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 1.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [backup-simplify]: Simplify y into y 1.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.060 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [backup-simplify]: Simplify y into y 1.060 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 1.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (* 1 1) into 1 1.061 * [backup-simplify]: Simplify (/ 1 1) into 1 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [backup-simplify]: Simplify y into y 1.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.061 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.061 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [backup-simplify]: Simplify y into y 1.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (/ 1 1) into 1 1.062 * [backup-simplify]: Simplify (+ 1 0) into 1 1.062 * [backup-simplify]: Simplify (- 1) into -1 1.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.062 * [backup-simplify]: Simplify (* 1 -1) into -1 1.062 * [taylor]: Taking taylor expansion of -1 in y 1.062 * [backup-simplify]: Simplify -1 into -1 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 -1)) into (/ 1 y) 1.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (- 0) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.067 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) -1))) into (/ 1 (pow y 2)) 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (- 0) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.070 * [backup-simplify]: Simplify (- 0) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 -1)))) into (- (/ 1 (pow y 3))) 1.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.071 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (* 1 1) into 1 1.072 * [backup-simplify]: Simplify (* 1 1) into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [backup-simplify]: Simplify (- 1) into -1 1.072 * [backup-simplify]: Simplify -1 into -1 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) (+ (* 1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 3)))) into (- (pow y 3) (+ (* x (pow y 2)) (* (pow x 2) y))) 1.073 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.073 * [backup-simplify]: Simplify (* (+ (* x x) (* y y)) (- x y)) into (* (+ (pow x 2) (pow y 2)) (- x y)) 1.073 * [approximate]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (- x y)) in (x y) around 0 1.073 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (- x y)) in y 1.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.073 * [backup-simplify]: Simplify x into x 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of (- x y) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.073 * [backup-simplify]: Simplify x into x 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (- x y)) in x 1.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.073 * [backup-simplify]: Simplify y into y 1.073 * [taylor]: Taking taylor expansion of (- x y) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of y in x 1.073 * [backup-simplify]: Simplify y into y 1.073 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (- x y)) in x 1.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [backup-simplify]: Simplify y into y 1.074 * [taylor]: Taking taylor expansion of (- x y) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [backup-simplify]: Simplify y into y 1.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.074 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.074 * [backup-simplify]: Simplify (- y) into (- y) 1.074 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.074 * [backup-simplify]: Simplify (* (pow y 2) (- y)) into (* -1 (pow y 3)) 1.074 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 1.074 * [taylor]: Taking taylor expansion of -1 in y 1.074 * [backup-simplify]: Simplify -1 into -1 1.074 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (- 0) into 0 1.075 * [backup-simplify]: Simplify (+ 1 0) into 1 1.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (* 0 (- y))) into (pow y 2) 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (- 0) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.076 * [backup-simplify]: Simplify (+ 1 0) into 1 1.077 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (* 1 (- y)))) into (- y) 1.077 * [taylor]: Taking taylor expansion of (- y) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (* 0 (- y))))) into 1 1.079 * [taylor]: Taking taylor expansion of 1 in y 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (- 1) into -1 1.079 * [backup-simplify]: Simplify -1 into -1 1.079 * [backup-simplify]: Simplify (* 1 1) into 1 1.079 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (+ (* 1 (* (pow y 2) x)) (+ (* -1 (* y (pow x 2))) (* 1 (pow (* 1 x) 3)))) into (- (+ (* x (pow y 2)) (pow x 3)) (* (pow x 2) y)) 1.080 * [backup-simplify]: Simplify (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.080 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.080 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.080 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.080 * [taylor]: Taking taylor expansion of x in y 1.080 * [backup-simplify]: Simplify x into x 1.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.080 * [taylor]: Taking taylor expansion of x in y 1.080 * [backup-simplify]: Simplify x into x 1.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (* 1 1) into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.081 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (* 1 1) into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.082 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.082 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ 1 1) into 1 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [backup-simplify]: Simplify y into y 1.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (* 1 1) into 1 1.083 * [backup-simplify]: Simplify (/ 1 1) into 1 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [backup-simplify]: Simplify y into y 1.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.084 * [backup-simplify]: Simplify (+ 1 0) into 1 1.084 * [backup-simplify]: Simplify (+ 1 0) into 1 1.084 * [backup-simplify]: Simplify (* 1 1) into 1 1.084 * [taylor]: Taking taylor expansion of 1 in y 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 y)) 1)) into (- (/ 1 y)) 1.086 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (/ 1 1) into 1 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (/ 1 y)) 0) (* 0 1))) into (/ 1 (pow y 2)) 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1 1) into 1 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (- (/ 1 (pow y 3))) 1.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [backup-simplify]: Simplify (- 1) into -1 1.093 * [backup-simplify]: Simplify -1 into -1 1.093 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (- 1) into -1 1.094 * [backup-simplify]: Simplify -1 into -1 1.094 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) (+ (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 3)))) into (- (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) 1.094 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) 1.094 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 1.094 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.095 * [backup-simplify]: Simplify x into x 1.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (* 1 1) into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.096 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [backup-simplify]: Simplify x into x 1.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.096 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (* 1 1) into 1 1.096 * [backup-simplify]: Simplify (/ 1 1) into 1 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.096 * [backup-simplify]: Simplify y into y 1.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.096 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.096 * [backup-simplify]: Simplify y into y 1.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [backup-simplify]: Simplify y into y 1.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.098 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [backup-simplify]: Simplify y into y 1.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [backup-simplify]: Simplify (+ 1 0) into 1 1.098 * [backup-simplify]: Simplify (- 1) into -1 1.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.099 * [backup-simplify]: Simplify (* 1 -1) into -1 1.099 * [taylor]: Taking taylor expansion of -1 in y 1.099 * [backup-simplify]: Simplify -1 into -1 1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 -1)) into (/ 1 y) 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (/ 1 (pow y 2)) -1))) into (- (/ 1 (pow y 2))) 1.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (* 1 1) into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (- 0) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 y)) (* 0 -1)))) into (/ 1 (pow y 3)) 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.107 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (- 1) into -1 1.108 * [backup-simplify]: Simplify -1 into -1 1.108 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) (+ (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 3)))) into (- (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) 1.109 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.109 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.109 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [backup-simplify]: Simplify x into x 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [backup-simplify]: Simplify y into y 1.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.110 * [backup-simplify]: Simplify y into y 1.110 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.110 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (* 1 1) into 1 1.111 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.111 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [taylor]: Taking taylor expansion of 1 in y 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (* 1 1) into 1 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.114 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.114 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.115 * [taylor]: Taking taylor expansion of x in y 1.115 * [backup-simplify]: Simplify x into x 1.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (* 1 1) into 1 1.115 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.116 * [backup-simplify]: Simplify (* 1 1) into 1 1.116 * [backup-simplify]: Simplify (/ 1 1) into 1 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [backup-simplify]: Simplify y into y 1.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.116 * [backup-simplify]: Simplify (* 1 1) into 1 1.116 * [backup-simplify]: Simplify (/ 1 1) into 1 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.117 * [backup-simplify]: Simplify y into y 1.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.117 * [backup-simplify]: Simplify (+ 1 0) into 1 1.117 * [taylor]: Taking taylor expansion of 1 in y 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.118 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.119 * [taylor]: Taking taylor expansion of y in y 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (* 1 1) into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.125 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [backup-simplify]: Simplify x into x 1.126 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.126 * [taylor]: Taking taylor expansion of y in y 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (* 1 1) into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [backup-simplify]: Simplify y into y 1.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [backup-simplify]: Simplify y into y 1.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.128 * [backup-simplify]: Simplify (+ 1 0) into 1 1.128 * [taylor]: Taking taylor expansion of 1 in y 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.130 * [taylor]: Taking taylor expansion of y in y 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (* 1 1) into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.136 * * * [progress]: simplifying candidates 1.138 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (- (* x x) (* y y)))) (+ (log (+ (* x x) (* y y))) (log (- x y)))) (- (+ (log (- x y)) (log (- (* x x) (* y y)))) (log (* (+ (* x x) (* y y)) (- x y)))) (- (log (* (- x y) (- (* x x) (* y y)))) (+ (log (+ (* x x) (* y y))) (log (- x y)))) (- (log (* (- x y) (- (* x x) (* y y)))) (log (* (+ (* x x) (* y y)) (- x y)))) (log (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (exp (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (- x y))) (* (+ (* x x) (* y y)) (- x y)))) (/ (* (* (* (- x y) (- (* x x) (* y y))) (* (- x y) (- (* x x) (* y y)))) (* (- x y) (- (* x x) (* y y)))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* (* (- x y) (- (* x x) (* y y))) (* (- x y) (- (* x x) (* y y)))) (* (- x y) (- (* x x) (* y y)))) (* (* (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (- x y))) (* (+ (* x x) (* y y)) (- x y)))) (* (cbrt (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (cbrt (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y))))) (cbrt (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (* (* (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (sqrt (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (sqrt (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))) (- (* (- x y) (- (* x x) (* y y)))) (- (* (+ (* x x) (* y y)) (- x y))) (/ (- x y) (+ (* x x) (* y y))) (/ (- (* x x) (* y y)) (- x y)) (/ 1 (* (+ (* x x) (* y y)) (- x y))) (/ (* (+ (* x x) (* y y)) (- x y)) (* (- x y) (- (* x x) (* y y)))) (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ (* (+ (* x x) (* y y)) (- x y)) (- (* x x) (* y y))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow x 3) (pow y 3)))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y)))) (/ (* (- x y) (- (* x x) (* y y))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (pow x 3) (pow y 3)))) (/ (* (- x y) (- (* x x) (* y y))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* (- x y) (- (* x x) (* y y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- x y))) (/ (* (- x y) (- (* x x) (* y y))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- x y))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y)))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (* (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ (* x x) (* y y)))) (* (* (+ (* x x) (* y y)) (- x y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- x y)) (+ (* x x) (+ (* y y) (* x y)))) (* (* (+ (* x x) (* y y)) (- x y)) (+ x y)) (* (- x y) (- (* x x) (* y y))) (+ (log (- x y)) (log (- (* x x) (* y y)))) (log (* (- x y) (- (* x x) (* y y)))) (exp (* (- x y) (- (* x x) (* y y)))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y 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)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ x y) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (- (* x x) (* y y)))) (* (sqrt (- x y)) (sqrt (- (* x x) (* y y)))) (* (- x y) (* x x)) (* (- x y) (- (* y y))) (* (- x y) (* x x)) (* (- x y) (- (* y y))) (* (* x x) (- x y)) (* (- (* y y)) (- x y)) (* (* x x) (- x y)) (* (- (* y y)) (- x y)) (* (- x y) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (- x y) (sqrt (- (* x x) (* y y)))) (* (- x y) 1) (* (- x y) (+ x y)) (* (cbrt (- x y)) (- (* x x) (* y y))) (* (sqrt (- x y)) (- (* x x) (* y y))) (* (- x y) (- (* x x) (* y y))) (* (- (sqrt x) (sqrt y)) (- (* x x) (* y y))) (* (- x y) (- (* x x) (* y y))) (* (- x y) (- (pow (* x x) 3) (pow (* y y) 3))) (* (- x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (+ (log (+ (* x x) (* y y))) (log (- x y))) (log (* (+ (* x x) (* y y)) (- x y))) (exp (* (+ (* x x) (* y y)) (- x y))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ (* x x) (* y y)) (- x y))) (cbrt (* (+ (* x x) (* y y)) (- x y)))) (cbrt (* (+ (* x x) (* y y)) (- x y))) (* (* (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (- x y))) (* (+ (* x x) (* y y)) (- x y))) (sqrt (* (+ (* x x) (* y y)) (- x y))) (sqrt (* (+ (* x x) (* y y)) (- x y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow x 3) (pow y 3))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (* (+ (* x x) (* y y)) x) (* (+ (* x x) (* y y)) (- y)) (* (+ (* x x) (* y y)) x) (* (+ (* x x) (* y y)) (- y)) (* x (+ (* x x) (* y y))) (* (- y) (+ (* x x) (* y y))) (* x (+ (* x x) (* y y))) (* (- y) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ (* x x) (* y y)) (sqrt (- x y))) (* (+ (* x x) (* y y)) 1) (* (+ (* x x) (* y y)) (+ (sqrt x) (sqrt y))) (* (+ (* x x) (* y y)) 1) (* (cbrt (+ (* x x) (* y y))) (- x y)) (* (sqrt (+ (* x x) (* y y))) (- x y)) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (- (pow x 3) (+ (* x (pow y 2)) (* (pow x 2) y))) (- (pow y 3) (+ (* x (pow y 2)) (* (pow x 2) y))) (- (pow y 3) (+ (* x (pow y 2)) (* (pow x 2) y))) (- (+ (* x (pow y 2)) (pow x 3)) (* (pow x 2) y)) (- (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) (- (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.138 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h0 h1)) (log (- (* h0 h0) (* h1 h1)))) (+ (log (+ (* h0 h0) (* h1 h1))) (log (- h0 h1)))) (- (+ (log (- h0 h1)) (log (- (* h0 h0) (* h1 h1)))) (log (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (- (log (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (+ (log (+ (* h0 h0) (* h1 h1))) (log (- h0 h1)))) (- (log (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (log (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (log (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (exp (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (/ (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (* (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1)))) (/ (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (* (* (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (/ (* (* (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (* (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1)))) (/ (* (* (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (* (* (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (* (cbrt (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (cbrt (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))))) (cbrt (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (* (* (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (sqrt (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (sqrt (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)))) (- (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (- (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (/ (- h0 h1) (+ (* h0 h0) (* h1 h1))) (/ (- (* h0 h0) (* h1 h1)) (- h0 h1)) (/ 1 (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (/ (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (/ (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (- (* h0 h0) (* h1 h1))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (- (pow h0 3) (pow h1 3)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (- (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (pow h0 3) (pow h1 3)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (- h0 h1))) (/ (* (- h0 h1) (- (* h0 h0) (* h1 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(* h1 h1))) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (- h0 h1)) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- h0 h1)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) -1 1 1 (- (pow h0 3) (+ (* h0 (pow h1 2)) (* (pow h0 2) h1))) (- (pow h1 3) (+ (* h0 (pow h1 2)) (* (pow h0 2) h1))) (- (pow h1 3) (+ (* h0 (pow h1 2)) (* (pow h0 2) h1))) (- (+ (* h0 (pow h1 2)) (pow h0 3)) (* (pow h0 2) h1)) (- (* h0 (pow h1 2)) (+ (* (pow h0 2) h1) (pow h1 3))) (- (* h0 (pow h1 2)) (+ (* (pow h0 2) h1) (pow h1 3))) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 1.145 * * [simplify]: iteration 0 : 602 enodes (cost 1284 ) 1.160 * * [simplify]: iteration 1 : 4374 enodes (cost 1053 ) 1.247 * * [simplify]: iteration 2 : 5001 enodes (cost 1053 ) 1.252 * * * [progress]: adding candidates to table 1.513 * [progress]: [Phase 3 of 3] Extracting. 1.513 * * [regime]: Finding splitpoints for: (# # # # #) 1.514 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 1.514 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # # #) 1.529 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.571 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.598 * * * [regime]: Found split indices: #