7.395 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.021 * [simplify]: Sending expressions to egg_math: (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) 0.023 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.024 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.026 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.028 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.031 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.036 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.046 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.079 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.121 * * * * [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 0.131 * [taylor]: Taking taylor expansion of (pow x 2) 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 (pow y 2) in y 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 * [backup-simplify]: Simplify (+ x 0) into x 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ x 0) into x 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.132 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.132 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.132 * [taylor]: Taking taylor expansion of (+ x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [taylor]: Taking taylor expansion of (- x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.132 * [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) 0.133 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.133 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 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 -1 in y 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [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 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.137 * [taylor]: Taking taylor expansion of 2 in y 0.137 * [backup-simplify]: Simplify 2 into 2 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.142 * [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 0.143 * [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)))) 0.143 * [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 0.143 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.143 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.143 * [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) 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.145 * [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 0.146 * [backup-simplify]: Simplify (/ -1 1) into -1 0.146 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [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 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [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 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [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 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [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 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [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 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [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)) 0.158 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.158 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of 2 in y 0.158 * [backup-simplify]: Simplify 2 into 2 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [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 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [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 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.164 * [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 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [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 0.167 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.167 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [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 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [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 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [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 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.171 * [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)) 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (* 1 -1) into -1 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ -1 1) into -1 0.172 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.172 * [taylor]: Taking taylor expansion of -1 in x 0.172 * [backup-simplify]: Simplify -1 into -1 0.172 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.172 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [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 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.174 * [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)) 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.174 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (* 1 -1) into -1 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [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 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [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 0.177 * [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 0.178 * [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 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [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 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [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))) 0.183 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.183 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of 2 in y 0.183 * [backup-simplify]: Simplify 2 into 2 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [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 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [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 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [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 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.189 * [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 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [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 0.192 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.192 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.192 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [backup-simplify]: Simplify x into x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [backup-simplify]: Simplify y into y 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [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 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [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 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.200 * [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 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [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 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 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 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) 0.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 0.204 * [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)) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.204 * [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 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [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 0.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [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 0.207 * [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 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [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 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.210 * [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 0.212 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.212 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.212 * [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 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 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 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [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 0.215 * [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 0.216 * [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 0.217 * [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 0.218 * [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 0.221 * [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 0.222 * [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 ) 0.263 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.265 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 2 / 4 0.370 * * * [progress]: picking best candidate 0.376 * * * * [pick]: Picked # 0.376 * * * [progress]: localizing error 0.376 * * * [progress]: generating rewritten candidates 0.376 * * * [progress]: generating series expansions 0.376 * * * [progress]: simplifying candidates 0.376 * [simplify]: Simplifying: 0.376 * [simplify]: Sending expressions to egg_math: 0.378 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.378 * * * [progress]: adding candidates to table 0.379 * * [progress]: iteration 3 / 4 0.379 * * * [progress]: picking best candidate 0.384 * * * * [pick]: Picked # 0.384 * * * [progress]: localizing error 0.394 * * * [progress]: generating rewritten candidates 0.394 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.433 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.474 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.488 * * * [progress]: generating series expansions 0.488 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.488 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) 0.488 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 0.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [backup-simplify]: Simplify x into x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.488 * [taylor]: Taking taylor expansion of (+ x y) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [backup-simplify]: Simplify x into x 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of (- x y) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [backup-simplify]: Simplify x into x 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.489 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.489 * [backup-simplify]: Simplify (+ x 0) into x 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ x 0) into x 0.489 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.489 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.490 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.490 * [taylor]: Taking taylor expansion of (+ x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [taylor]: Taking taylor expansion of (- x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.490 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.490 * [backup-simplify]: Simplify (+ 0 y) into y 0.490 * [backup-simplify]: Simplify (- y) into (- y) 0.490 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.490 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.490 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 0.490 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.490 * [taylor]: Taking taylor expansion of (+ x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [taylor]: Taking taylor expansion of (- x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [backup-simplify]: Simplify y into y 0.491 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.491 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.491 * [backup-simplify]: Simplify (+ 0 y) into y 0.491 * [backup-simplify]: Simplify (- y) into (- y) 0.491 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.491 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.491 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 0.491 * [taylor]: Taking taylor expansion of -1 in y 0.491 * [backup-simplify]: Simplify -1 into -1 0.491 * [backup-simplify]: Simplify -1 into -1 0.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.494 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2)))) 0.494 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of 2 in y 0.494 * [backup-simplify]: Simplify 2 into 2 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify -1 into -1 0.500 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) 0.500 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [backup-simplify]: Simplify x into x 0.500 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [backup-simplify]: Simplify x into x 0.501 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 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 y 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.502 * [taylor]: Taking taylor expansion of y in y 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 x) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [backup-simplify]: Simplify x into x 0.502 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.502 * [backup-simplify]: Simplify (+ 0 1) into 1 0.502 * [backup-simplify]: Simplify (- 1) into -1 0.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.503 * [backup-simplify]: Simplify (* -1 1) into -1 0.503 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.503 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.504 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [backup-simplify]: Simplify y into y 0.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [backup-simplify]: Simplify y into y 0.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.506 * [backup-simplify]: Simplify (+ 1 0) into 1 0.506 * [backup-simplify]: Simplify (+ 0 1) into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [backup-simplify]: Simplify y into y 0.507 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.507 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.507 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [backup-simplify]: Simplify y into y 0.507 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [backup-simplify]: Simplify y into y 0.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [backup-simplify]: Simplify (+ 0 1) into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of 1 in y 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.511 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.511 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.516 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.516 * [taylor]: Taking taylor expansion of 2 in y 0.516 * [backup-simplify]: Simplify 2 into 2 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [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 0.520 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 0.524 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.524 * [taylor]: Taking taylor expansion of -1 in y 0.524 * [backup-simplify]: Simplify -1 into -1 0.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [backup-simplify]: Simplify x into x 0.524 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [backup-simplify]: Simplify x into x 0.525 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [backup-simplify]: Simplify x into x 0.525 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.526 * [backup-simplify]: Simplify (+ 0 1) into 1 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 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 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [backup-simplify]: Simplify y into y 0.527 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.527 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.527 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [backup-simplify]: Simplify y into y 0.527 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0) into 1 0.529 * [backup-simplify]: Simplify (+ 0 1) into 1 0.529 * [backup-simplify]: Simplify (- 1) into -1 0.529 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.529 * [backup-simplify]: Simplify (* 1 -1) into -1 0.530 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.530 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [backup-simplify]: Simplify -1 into -1 0.530 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [backup-simplify]: Simplify y into y 0.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.530 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.530 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [backup-simplify]: Simplify y into y 0.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [backup-simplify]: Simplify y into y 0.531 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 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 0) into 1 0.532 * [backup-simplify]: Simplify (+ 0 1) into 1 0.532 * [backup-simplify]: Simplify (- 1) into -1 0.532 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.532 * [backup-simplify]: Simplify (* 1 -1) into -1 0.533 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.533 * [backup-simplify]: Simplify (* -1 -1) into 1 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify 1 into 1 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 0) 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 (+ (/ 1 y) 0) into (/ 1 y) 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.535 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) 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 0 into 0 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 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.540 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.540 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 0.540 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of 2 in y 0.540 * [backup-simplify]: Simplify 2 into 2 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.549 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.549 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.549 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.549 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.549 * [taylor]: Taking taylor expansion of (+ x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (- x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [backup-simplify]: Simplify x into x 0.549 * [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 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ x 0) into x 0.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.550 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.550 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 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 (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.551 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.551 * [taylor]: Taking taylor expansion of (+ x y) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [backup-simplify]: Simplify y into y 0.551 * [taylor]: Taking taylor expansion of (- x y) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [backup-simplify]: Simplify y into y 0.551 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [backup-simplify]: Simplify y into y 0.551 * [backup-simplify]: Simplify (+ 0 y) into y 0.551 * [backup-simplify]: Simplify (- y) into (- y) 0.551 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.551 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.551 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.551 * [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 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [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 0.553 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of 2 in y 0.559 * [backup-simplify]: Simplify 2 into 2 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [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 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify -1 into -1 0.565 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.565 * [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 0.565 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.565 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [backup-simplify]: Simplify x into x 0.565 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [backup-simplify]: Simplify x into x 0.566 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [backup-simplify]: Simplify x into x 0.566 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.566 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [backup-simplify]: Simplify (- 1) into -1 0.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (* -1 1) into -1 0.567 * [backup-simplify]: Simplify (+ 0 1) into 1 0.568 * [backup-simplify]: Simplify (/ -1 1) into -1 0.568 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.568 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [backup-simplify]: Simplify y into y 0.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.569 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.570 * [backup-simplify]: Simplify (+ 1 0) into 1 0.570 * [backup-simplify]: Simplify (+ 0 1) into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (+ 1 0) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [backup-simplify]: Simplify y into y 0.571 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [backup-simplify]: Simplify y into y 0.571 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [backup-simplify]: Simplify y into y 0.572 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.572 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (+ 0 1) into 1 0.573 * [backup-simplify]: Simplify (* 1 1) into 1 0.573 * [backup-simplify]: Simplify (+ 1 0) into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [taylor]: Taking taylor expansion of 1 in y 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.574 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.574 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.578 * [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))) 0.579 * [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 0.582 * [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 (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 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 0.589 * [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 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 0.591 * [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) 0.592 * [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 0.593 * [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 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.595 * [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 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* 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 0.596 * [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 0.597 * [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) 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.598 * [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 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [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 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [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 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.606 * [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 0.608 * [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 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [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 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.611 * [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 0.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.614 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.614 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [backup-simplify]: Simplify x into x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [backup-simplify]: Simplify y into y 0.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [backup-simplify]: Simplify y into y 0.614 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.614 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.616 * [backup-simplify]: Simplify (+ 1 0) into 1 0.616 * [taylor]: Taking taylor expansion of 1 in y 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.618 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.619 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.619 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [backup-simplify]: Simplify x into x 0.619 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.619 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [backup-simplify]: Simplify y into y 0.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.621 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [backup-simplify]: Simplify y into y 0.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.622 * [backup-simplify]: Simplify (+ 1 0) into 1 0.622 * [taylor]: Taking taylor expansion of 1 in y 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.630 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.630 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [backup-simplify]: Simplify x into x 0.631 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.631 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [backup-simplify]: Simplify y into y 0.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.633 * [backup-simplify]: Simplify y into y 0.633 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.633 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [taylor]: Taking taylor expansion of 1 in y 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.636 * [backup-simplify]: Simplify (/ 1 1) into 1 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.641 * * * [progress]: simplifying candidates 0.643 * [simplify]: Simplifying: (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (exp (/ (+ (* x x) (* y 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))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y)))) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* x x) (* y y)) (* (- x 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h0 h0) (* h1 h1))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (* h0 h0) (* h1 h1)) (+ (pow h0 3) (pow h1 3))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ (pow h0 3) (pow h1 3))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (- (* h0 h0) (* h1 h1))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (pow h0 3) (pow h1 3)) (+ h0 h1)))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)))) (/ (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) (cbrt 1)) (/ (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) (sqrt 1)) (/ (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) 1) (/ 1 (+ (* h0 h0) (* h1 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 -1 1 1 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.656 * * [simplify]: iteration 0 : 604 enodes (cost 1641 ) 0.669 * * [simplify]: iteration 1 : 3913 enodes (cost 1448 ) 0.726 * * [simplify]: iteration 2 : 5001 enodes (cost 1367 ) 0.732 * * * [progress]: adding candidates to table 0.958 * * [progress]: iteration 4 / 4 0.958 * * * [progress]: picking best candidate 0.963 * * * * [pick]: Picked # 0.963 * * * [progress]: localizing error 0.976 * * * [progress]: generating rewritten candidates 0.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.022 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.051 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.090 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.111 * * * [progress]: generating series expansions 1.112 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.112 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 1.112 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.112 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.112 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.112 * [taylor]: Taking taylor expansion of (+ x y) in y 1.112 * [taylor]: Taking taylor expansion of x in y 1.112 * [backup-simplify]: Simplify x into x 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (- x y) in y 1.112 * [taylor]: Taking taylor expansion of x in y 1.112 * [backup-simplify]: Simplify x into x 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.112 * [taylor]: Taking taylor expansion of x in y 1.112 * [backup-simplify]: Simplify x into x 1.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (+ x 0) into x 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ x 0) into x 1.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.113 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.113 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.113 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.113 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.113 * [taylor]: Taking taylor expansion of (+ x y) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [backup-simplify]: Simplify y into y 1.113 * [taylor]: Taking taylor expansion of (- x y) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [backup-simplify]: Simplify (+ 0 y) into y 1.114 * [backup-simplify]: Simplify (- y) into (- y) 1.114 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.114 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.114 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.114 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.114 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.114 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.114 * [taylor]: Taking taylor expansion of (+ x y) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [taylor]: Taking taylor expansion of (- x y) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [backup-simplify]: Simplify (+ 0 y) into y 1.114 * [backup-simplify]: Simplify (- y) into (- y) 1.114 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.114 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.115 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.115 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.115 * [taylor]: Taking taylor expansion of -1 in y 1.115 * [backup-simplify]: Simplify -1 into -1 1.115 * [backup-simplify]: Simplify -1 into -1 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 1 0) into 1 1.116 * [backup-simplify]: Simplify (+ 1 0) into 1 1.116 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 1.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 1.116 * [taylor]: Taking taylor expansion of 0 in y 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 1.117 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.118 * [backup-simplify]: Simplify (+ 1 0) into 1 1.118 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 1.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.118 * [taylor]: Taking taylor expansion of 2 in y 1.118 * [backup-simplify]: Simplify 2 into 2 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (* 1 1) into 1 1.119 * [backup-simplify]: Simplify (/ 1 1) into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [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 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify -1 into -1 1.124 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (pow (/ 1 x) 2) (pow (/ 1 y) 2))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.124 * [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 1.124 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.124 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.124 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.124 * [taylor]: Taking taylor expansion of x in y 1.124 * [backup-simplify]: Simplify x into x 1.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [backup-simplify]: Simplify x into x 1.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 1.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [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 * [backup-simplify]: Simplify (- 1) into -1 1.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.127 * [backup-simplify]: Simplify (+ 1 0) into 1 1.127 * [backup-simplify]: Simplify (* -1 1) into -1 1.127 * [backup-simplify]: Simplify (+ 0 1) into 1 1.127 * [backup-simplify]: Simplify (/ -1 1) into -1 1.127 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.127 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.127 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.128 * [backup-simplify]: Simplify y into y 1.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.128 * [backup-simplify]: Simplify y into y 1.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (* 1 1) into 1 1.129 * [backup-simplify]: Simplify (/ 1 1) into 1 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.129 * [backup-simplify]: Simplify y into y 1.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.129 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.129 * [backup-simplify]: Simplify (+ 1 0) into 1 1.129 * [backup-simplify]: Simplify (+ 0 1) into 1 1.130 * [backup-simplify]: Simplify (* 1 1) into 1 1.130 * [backup-simplify]: Simplify (+ 1 0) into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.130 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.131 * [backup-simplify]: Simplify y into y 1.131 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.131 * [backup-simplify]: Simplify y into y 1.131 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (* 1 1) into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.132 * [backup-simplify]: Simplify y into y 1.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.132 * [backup-simplify]: Simplify (+ 1 0) into 1 1.132 * [backup-simplify]: Simplify (+ 0 1) into 1 1.132 * [backup-simplify]: Simplify (* 1 1) into 1 1.136 * [backup-simplify]: Simplify (+ 1 0) into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.136 * [taylor]: Taking taylor expansion of 1 in y 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.137 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.137 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.143 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.143 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.143 * [taylor]: Taking taylor expansion of 2 in y 1.143 * [backup-simplify]: Simplify 2 into 2 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (* 1 1) into 1 1.143 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.148 * [backup-simplify]: Simplify (- 0) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.151 * [taylor]: Taking taylor expansion of 0 in y 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1.151 * [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 1.151 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.151 * [taylor]: Taking taylor expansion of -1 in y 1.151 * [backup-simplify]: Simplify -1 into -1 1.151 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.152 * [taylor]: Taking taylor expansion of x in y 1.152 * [backup-simplify]: Simplify x into x 1.152 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.152 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.152 * [taylor]: Taking taylor expansion of x in y 1.152 * [backup-simplify]: Simplify x into x 1.152 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.152 * [taylor]: Taking taylor expansion of x in y 1.152 * [backup-simplify]: Simplify x into x 1.152 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.152 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (* 1 1) into 1 1.153 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [backup-simplify]: Simplify (+ 1 0) into 1 1.153 * [backup-simplify]: Simplify (+ 1 0) into 1 1.154 * [backup-simplify]: Simplify (* 1 1) into 1 1.154 * [backup-simplify]: Simplify (+ 0 1) into 1 1.154 * [backup-simplify]: Simplify (/ 1 1) into 1 1.154 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [backup-simplify]: Simplify -1 into -1 1.154 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [backup-simplify]: Simplify y into y 1.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.155 * [backup-simplify]: Simplify y into y 1.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (* 1 1) into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.156 * [backup-simplify]: Simplify y into y 1.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.156 * [backup-simplify]: Simplify (+ 0 1) into 1 1.156 * [backup-simplify]: Simplify (- 1) into -1 1.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.157 * [backup-simplify]: Simplify (* 1 -1) into -1 1.157 * [backup-simplify]: Simplify (+ 1 0) into 1 1.157 * [backup-simplify]: Simplify (/ -1 1) into -1 1.157 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [backup-simplify]: Simplify -1 into -1 1.157 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.157 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.157 * [taylor]: Taking taylor expansion of y in x 1.157 * [backup-simplify]: Simplify y into y 1.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.158 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.158 * [taylor]: Taking taylor expansion of y in x 1.158 * [backup-simplify]: Simplify y into y 1.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* 1 1) into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.159 * [backup-simplify]: Simplify y into y 1.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.159 * [backup-simplify]: Simplify (+ 0 1) into 1 1.159 * [backup-simplify]: Simplify (- 1) into -1 1.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.160 * [backup-simplify]: Simplify (* 1 -1) into -1 1.160 * [backup-simplify]: Simplify (+ 1 0) into 1 1.160 * [backup-simplify]: Simplify (/ -1 1) into -1 1.160 * [backup-simplify]: Simplify (* -1 -1) into 1 1.160 * [taylor]: Taking taylor expansion of 1 in y 1.160 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (- 0) into 0 1.161 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.162 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in y 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.168 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 1.168 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 1.168 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.168 * [taylor]: Taking taylor expansion of 2 in y 1.168 * [backup-simplify]: Simplify 2 into 2 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (* 1 1) into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.172 * [backup-simplify]: Simplify (- 0) into 0 1.172 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 1.177 * [taylor]: Taking taylor expansion of 0 in y 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.177 * [backup-simplify]: Simplify (cbrt (pow (/ (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2))) 3)) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 1.177 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.177 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.177 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.177 * [taylor]: Taking taylor expansion of (+ x y) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [backup-simplify]: Simplify x into x 1.177 * [taylor]: Taking taylor expansion of y in y 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [taylor]: Taking taylor expansion of (- x y) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [backup-simplify]: Simplify x into x 1.177 * [taylor]: Taking taylor expansion of y in y 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [backup-simplify]: Simplify x into x 1.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (+ x 0) into x 1.178 * [backup-simplify]: Simplify (- 0) into 0 1.178 * [backup-simplify]: Simplify (+ x 0) into x 1.178 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.178 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.178 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.178 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.178 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.178 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.178 * [taylor]: Taking taylor expansion of (+ x y) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [backup-simplify]: Simplify y into y 1.178 * [taylor]: Taking taylor expansion of (- x y) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [backup-simplify]: Simplify y into y 1.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [backup-simplify]: Simplify y into y 1.178 * [backup-simplify]: Simplify (+ 0 y) into y 1.178 * [backup-simplify]: Simplify (- y) into (- y) 1.178 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.178 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.179 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.179 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.179 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.179 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.179 * [taylor]: Taking taylor expansion of (+ x y) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [taylor]: Taking taylor expansion of (- x y) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [backup-simplify]: Simplify (+ 0 y) into y 1.179 * [backup-simplify]: Simplify (- y) into (- y) 1.179 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.179 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.179 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.179 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.179 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.179 * [taylor]: Taking taylor expansion of -1 in y 1.179 * [backup-simplify]: Simplify -1 into -1 1.179 * [backup-simplify]: Simplify -1 into -1 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ 1 0) into 1 1.180 * [backup-simplify]: Simplify (+ 1 0) into 1 1.180 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 1.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 1.181 * [taylor]: Taking taylor expansion of 0 in y 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 1.182 * [backup-simplify]: Simplify (* 1 1) into 1 1.182 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.182 * [backup-simplify]: Simplify (+ 1 0) into 1 1.183 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 1.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.183 * [taylor]: Taking taylor expansion of 2 in y 1.183 * [backup-simplify]: Simplify 2 into 2 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.188 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [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 1.188 * [taylor]: Taking taylor expansion of 0 in y 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify -1 into -1 1.189 * [backup-simplify]: Simplify (cbrt (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (pow (/ 1 x) 2) (pow (/ 1 y) 2))) 3)) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.189 * [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 1.189 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.189 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [backup-simplify]: Simplify x into x 1.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (/ 1 1) into 1 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [backup-simplify]: Simplify x into x 1.190 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [backup-simplify]: Simplify x into x 1.190 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.190 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (* 1 1) into 1 1.190 * [backup-simplify]: Simplify (/ 1 1) into 1 1.191 * [backup-simplify]: Simplify (- 1) into -1 1.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.191 * [backup-simplify]: Simplify (+ 1 0) into 1 1.191 * [backup-simplify]: Simplify (* -1 1) into -1 1.192 * [backup-simplify]: Simplify (+ 0 1) into 1 1.192 * [backup-simplify]: Simplify (/ -1 1) into -1 1.192 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.192 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.192 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (/ 1 1) into 1 1.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.192 * [taylor]: Taking taylor expansion of y in x 1.192 * [backup-simplify]: Simplify y into y 1.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.192 * [taylor]: Taking taylor expansion of y in x 1.192 * [backup-simplify]: Simplify y into y 1.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (/ 1 1) into 1 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (* 1 1) into 1 1.193 * [backup-simplify]: Simplify (/ 1 1) into 1 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.193 * [backup-simplify]: Simplify y into y 1.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.194 * [backup-simplify]: Simplify (+ 1 0) into 1 1.194 * [backup-simplify]: Simplify (+ 0 1) into 1 1.194 * [backup-simplify]: Simplify (* 1 1) into 1 1.194 * [backup-simplify]: Simplify (+ 1 0) into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.195 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.195 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.195 * [backup-simplify]: Simplify y into y 1.195 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.195 * [backup-simplify]: Simplify y into y 1.195 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (* 1 1) into 1 1.196 * [backup-simplify]: Simplify (/ 1 1) into 1 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.196 * [backup-simplify]: Simplify y into y 1.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.196 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.196 * [backup-simplify]: Simplify (+ 1 0) into 1 1.197 * [backup-simplify]: Simplify (+ 0 1) into 1 1.197 * [backup-simplify]: Simplify (* 1 1) into 1 1.197 * [backup-simplify]: Simplify (+ 1 0) into 1 1.197 * [backup-simplify]: Simplify (/ 1 1) into 1 1.197 * [taylor]: Taking taylor expansion of 1 in y 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.198 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.199 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.200 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.204 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.204 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.204 * [taylor]: Taking taylor expansion of 2 in y 1.204 * [backup-simplify]: Simplify 2 into 2 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (* 1 1) into 1 1.205 * [backup-simplify]: Simplify (/ 1 1) into 1 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.207 * [backup-simplify]: Simplify (- 0) into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (cbrt (pow (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2))) 3)) into (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.212 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.212 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.213 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.213 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.213 * [taylor]: Taking taylor expansion of -1 in y 1.213 * [backup-simplify]: Simplify -1 into -1 1.213 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.214 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.214 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (/ 1 1) into 1 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.214 * [backup-simplify]: Simplify x into x 1.214 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (/ 1 1) into 1 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.214 * [backup-simplify]: Simplify x into x 1.214 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.214 * [backup-simplify]: Simplify x into x 1.214 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.215 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.215 * [taylor]: Taking taylor expansion of y in y 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (* 1 1) into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [backup-simplify]: Simplify (+ 1 0) into 1 1.216 * [backup-simplify]: Simplify (+ 1 0) into 1 1.216 * [backup-simplify]: Simplify (* 1 1) into 1 1.216 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.217 * [backup-simplify]: Simplify (+ 0 1) into 1 1.217 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.217 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.217 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.217 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [backup-simplify]: Simplify -1 into -1 1.217 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.218 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.218 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [backup-simplify]: Simplify y into y 1.218 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [backup-simplify]: Simplify y into y 1.218 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (* 1 1) into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.219 * [taylor]: Taking taylor expansion of y in x 1.219 * [backup-simplify]: Simplify y into y 1.219 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.219 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.220 * [backup-simplify]: Simplify (+ 0 1) into 1 1.220 * [backup-simplify]: Simplify (- 1) into -1 1.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.220 * [backup-simplify]: Simplify (* 1 -1) into -1 1.221 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 1.221 * [backup-simplify]: Simplify (+ 1 0) into 1 1.222 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 1.222 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.222 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.222 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [backup-simplify]: Simplify -1 into -1 1.222 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.223 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.223 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.223 * [backup-simplify]: Simplify y into y 1.223 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.223 * [backup-simplify]: Simplify y into y 1.223 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (* 1 1) into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [backup-simplify]: Simplify y into y 1.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.224 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.225 * [backup-simplify]: Simplify (+ 0 1) into 1 1.225 * [backup-simplify]: Simplify (- 1) into -1 1.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.225 * [backup-simplify]: Simplify (* 1 -1) into -1 1.226 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 1.226 * [backup-simplify]: Simplify (+ 1 0) into 1 1.227 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 1.227 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in y 1.227 * [taylor]: Taking taylor expansion of -1 in y 1.227 * [backup-simplify]: Simplify -1 into -1 1.227 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.227 * [taylor]: Taking taylor expansion of -1 in y 1.227 * [backup-simplify]: Simplify -1 into -1 1.227 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.232 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.233 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.233 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (- 0) into 0 1.234 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.235 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.235 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 -1)) into 0 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)))) into 0 1.237 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (/ (cbrt -1) (pow y 2)) 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.244 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) (pow y 2)) 1) (+ (* (* -1 (cbrt -1)) (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ (cbrt -1) (pow y 2))) 1.244 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow y 2))) in y 1.244 * [taylor]: Taking taylor expansion of 2 in y 1.244 * [backup-simplify]: Simplify 2 into 2 1.244 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 1.244 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.244 * [taylor]: Taking taylor expansion of -1 in y 1.244 * [backup-simplify]: Simplify -1 into -1 1.244 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.245 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.249 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.254 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ (cbrt -1) (pow y 2))) (/ 0 1)))) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.258 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.258 * [backup-simplify]: Simplify (pow (/ (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2))) 3) into (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) 1.258 * [approximate]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 1.258 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in y 1.258 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.258 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.258 * [taylor]: Taking taylor expansion of (+ x y) in y 1.258 * [taylor]: Taking taylor expansion of x in y 1.258 * [backup-simplify]: Simplify x into x 1.258 * [taylor]: Taking taylor expansion of y in y 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of (- x y) in y 1.259 * [taylor]: Taking taylor expansion of x in y 1.259 * [backup-simplify]: Simplify x into x 1.259 * [taylor]: Taking taylor expansion of y in y 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.259 * [taylor]: Taking taylor expansion of x in y 1.259 * [backup-simplify]: Simplify x into x 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (+ x 0) into x 1.259 * [backup-simplify]: Simplify (- 0) into 0 1.259 * [backup-simplify]: Simplify (+ x 0) into x 1.259 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.259 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.259 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.259 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.259 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 1.259 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.259 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.259 * [taylor]: Taking taylor expansion of (+ x y) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of y in x 1.259 * [backup-simplify]: Simplify y into y 1.259 * [taylor]: Taking taylor expansion of (- x y) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [backup-simplify]: Simplify y into y 1.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [backup-simplify]: Simplify y into y 1.260 * [backup-simplify]: Simplify (+ 0 y) into y 1.260 * [backup-simplify]: Simplify (- y) into (- y) 1.260 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.260 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.260 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.260 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.260 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 1.260 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.260 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.260 * [taylor]: Taking taylor expansion of (+ x y) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [backup-simplify]: Simplify y into y 1.260 * [taylor]: Taking taylor expansion of (- x y) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [backup-simplify]: Simplify y into y 1.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [backup-simplify]: Simplify y into y 1.260 * [backup-simplify]: Simplify (+ 0 y) into y 1.260 * [backup-simplify]: Simplify (- y) into (- y) 1.260 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.261 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.261 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.261 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.261 * [backup-simplify]: Simplify (* -1 -1) into 1 1.261 * [backup-simplify]: Simplify (* -1 1) into -1 1.261 * [taylor]: Taking taylor expansion of -1 in y 1.261 * [backup-simplify]: Simplify -1 into -1 1.261 * [backup-simplify]: Simplify -1 into -1 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ 1 0) into 1 1.262 * [backup-simplify]: Simplify (+ 1 0) into 1 1.262 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 1.262 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 1.263 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.263 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.263 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 1.265 * [backup-simplify]: Simplify (* 1 1) into 1 1.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.265 * [backup-simplify]: Simplify (+ 1 0) into 1 1.265 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 1.266 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow y 2))) -1))) into (- (* 4 (/ 1 (pow y 2)))) 1.266 * [backup-simplify]: Simplify (+ (* -1 (- (* 4 (/ 1 (pow y 2))))) (+ (* 0 0) (* (* 2 (/ 1 (pow y 2))) 1))) into (* 6 (/ 1 (pow y 2))) 1.266 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.266 * [taylor]: Taking taylor expansion of 6 in y 1.266 * [backup-simplify]: Simplify 6 into 6 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (* 1 1) into 1 1.267 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [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 1.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (* 2 (/ 1 (pow y 2))) 0) (* 0 -1)))) into 0 1.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 4 (/ 1 (pow y 2))))) (+ (* (* 2 (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify -1 into -1 1.273 * [backup-simplify]: Simplify (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (pow (/ 1 x) 2) (pow (/ 1 y) 2))) 3) into (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) 1.274 * [approximate]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 1.274 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 1.274 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.274 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.274 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [backup-simplify]: Simplify x into x 1.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (/ 1 1) into 1 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (/ 1 1) into 1 1.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [backup-simplify]: Simplify x into x 1.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [backup-simplify]: Simplify x into x 1.274 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.275 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (* 1 1) into 1 1.275 * [backup-simplify]: Simplify (/ 1 1) into 1 1.275 * [backup-simplify]: Simplify (- 1) into -1 1.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.276 * [backup-simplify]: Simplify (+ 1 0) into 1 1.276 * [backup-simplify]: Simplify (* -1 1) into -1 1.276 * [backup-simplify]: Simplify (+ 0 1) into 1 1.276 * [backup-simplify]: Simplify (/ -1 1) into -1 1.277 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 1.277 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.277 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [backup-simplify]: Simplify y into y 1.277 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [backup-simplify]: Simplify y into y 1.277 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (* 1 1) into 1 1.278 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.278 * [backup-simplify]: Simplify y into y 1.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.278 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.278 * [backup-simplify]: Simplify (+ 1 0) into 1 1.279 * [backup-simplify]: Simplify (+ 0 1) into 1 1.279 * [backup-simplify]: Simplify (* 1 1) into 1 1.279 * [backup-simplify]: Simplify (+ 1 0) into 1 1.279 * [backup-simplify]: Simplify (/ 1 1) into 1 1.279 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 1.279 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.279 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.279 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (/ 1 1) into 1 1.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.280 * [taylor]: Taking taylor expansion of y in x 1.280 * [backup-simplify]: Simplify y into y 1.280 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.280 * [taylor]: Taking taylor expansion of y in x 1.280 * [backup-simplify]: Simplify y into y 1.280 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (/ 1 1) into 1 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (* 1 1) into 1 1.281 * [backup-simplify]: Simplify (/ 1 1) into 1 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.281 * [taylor]: Taking taylor expansion of y in x 1.281 * [backup-simplify]: Simplify y into y 1.281 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.281 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.281 * [backup-simplify]: Simplify (+ 1 0) into 1 1.281 * [backup-simplify]: Simplify (+ 0 1) into 1 1.282 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [backup-simplify]: Simplify (+ 1 0) into 1 1.282 * [backup-simplify]: Simplify (/ 1 1) into 1 1.282 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [taylor]: Taking taylor expansion of 1 in y 1.282 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.283 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.284 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.286 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.290 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.291 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow y 2)))) 1))) into (- (* 4 (/ 1 (pow y 2)))) 1.291 * [backup-simplify]: Simplify (+ (* 1 (- (* 4 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow y 2)))) 1))) into (- (* 6 (/ 1 (pow y 2)))) 1.291 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 1.291 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.291 * [taylor]: Taking taylor expansion of 6 in y 1.291 * [backup-simplify]: Simplify 6 into 6 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (* 1 1) into 1 1.292 * [backup-simplify]: Simplify (/ 1 1) into 1 1.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* (- (* 2 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 4 (/ 1 (pow y 2))))) (+ (* (- (* 2 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in y 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (pow (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2))) 3) into (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) 1.301 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in (x y) around 0 1.301 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in y 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.301 * [taylor]: Taking taylor expansion of -1 in y 1.301 * [backup-simplify]: Simplify -1 into -1 1.301 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (/ 1 1) into 1 1.301 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.301 * [taylor]: Taking taylor expansion of x in y 1.302 * [backup-simplify]: Simplify x into x 1.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.302 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (/ 1 1) into 1 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [backup-simplify]: Simplify x into x 1.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [backup-simplify]: Simplify x into x 1.302 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [backup-simplify]: Simplify (+ 1 0) into 1 1.303 * [backup-simplify]: Simplify (+ 1 0) into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (+ 0 1) into 1 1.304 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [backup-simplify]: Simplify (* -1 1) into -1 1.304 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in x 1.304 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [backup-simplify]: Simplify -1 into -1 1.304 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.304 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.304 * [backup-simplify]: Simplify y into y 1.304 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.305 * [taylor]: Taking taylor expansion of y in x 1.305 * [backup-simplify]: Simplify y into y 1.305 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (* 1 1) into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.306 * [backup-simplify]: Simplify y into y 1.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.306 * [backup-simplify]: Simplify (+ 0 1) into 1 1.306 * [backup-simplify]: Simplify (- 1) into -1 1.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.307 * [backup-simplify]: Simplify (* 1 -1) into -1 1.307 * [backup-simplify]: Simplify (+ 1 0) into 1 1.307 * [backup-simplify]: Simplify (/ -1 1) into -1 1.307 * [backup-simplify]: Simplify (* -1 -1) into 1 1.307 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in x 1.307 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.307 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [backup-simplify]: Simplify -1 into -1 1.307 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.308 * [backup-simplify]: Simplify y into y 1.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.308 * [backup-simplify]: Simplify y into y 1.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.309 * [backup-simplify]: Simplify y into y 1.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.309 * [backup-simplify]: Simplify (+ 0 1) into 1 1.309 * [backup-simplify]: Simplify (- 1) into -1 1.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.310 * [backup-simplify]: Simplify (* 1 -1) into -1 1.310 * [backup-simplify]: Simplify (+ 1 0) into 1 1.310 * [backup-simplify]: Simplify (/ -1 1) into -1 1.311 * [backup-simplify]: Simplify (* -1 -1) into 1 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [taylor]: Taking taylor expansion of 1 in y 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.313 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.315 * [taylor]: Taking taylor expansion of 0 in y 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.319 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 1.320 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 1.320 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow y 2)))) 1))) into (- (* 4 (/ 1 (pow y 2)))) 1.321 * [backup-simplify]: Simplify (+ (* 1 (- (* 4 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow y 2)))) 1))) into (- (* 6 (/ 1 (pow y 2)))) 1.321 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 1.321 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.321 * [taylor]: Taking taylor expansion of 6 in y 1.321 * [backup-simplify]: Simplify 6 into 6 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.321 * [taylor]: Taking taylor expansion of y in y 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* (- (* 2 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 4 (/ 1 (pow y 2))))) (+ (* (- (* 2 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in y 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.337 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.337 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.337 * [taylor]: Taking taylor expansion of x in y 1.337 * [backup-simplify]: Simplify x into x 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.337 * [taylor]: Taking taylor expansion of y in x 1.337 * [backup-simplify]: Simplify y into y 1.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.337 * [taylor]: Taking taylor expansion of y in x 1.337 * [backup-simplify]: Simplify y into y 1.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.337 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.338 * [backup-simplify]: Simplify (+ 1 0) into 1 1.338 * [taylor]: Taking taylor expansion of 1 in y 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [taylor]: Taking taylor expansion of 0 in y 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [taylor]: Taking taylor expansion of 0 in y 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.342 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (pow (/ 1 y) 2)) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.342 * [taylor]: Taking taylor expansion of x in y 1.342 * [backup-simplify]: Simplify x into x 1.342 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.342 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.343 * [taylor]: Taking taylor expansion of y in y 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (/ 1 1) into 1 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.344 * [taylor]: Taking taylor expansion of y in x 1.344 * [backup-simplify]: Simplify y into y 1.344 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.345 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.345 * [taylor]: Taking taylor expansion of y in x 1.345 * [backup-simplify]: Simplify y into y 1.345 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.345 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.345 * [backup-simplify]: Simplify (+ 1 0) into 1 1.345 * [taylor]: Taking taylor expansion of 1 in y 1.345 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [taylor]: Taking taylor expansion of 0 in y 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.348 * [taylor]: Taking taylor expansion of y in y 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ 1 1) into 1 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [taylor]: Taking taylor expansion of 0 in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.354 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2)) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.355 * [taylor]: Taking taylor expansion of x in y 1.355 * [backup-simplify]: Simplify x into x 1.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.355 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (* 1 1) into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.356 * [backup-simplify]: Simplify y into y 1.356 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.357 * [taylor]: Taking taylor expansion of y in x 1.357 * [backup-simplify]: Simplify y into y 1.357 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.357 * [taylor]: Taking taylor expansion of 1 in y 1.357 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.358 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.360 * [taylor]: Taking taylor expansion of y in y 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (* 1 1) into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in y 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [taylor]: Taking taylor expansion of 0 in y 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.366 * * * [progress]: simplifying candidates 1.368 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (pow x 2) (pow y 2)))) (- (log (* (- x y) (+ x y))) (log (+ (pow x 2) (pow y 2)))) (log (/ (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2)))) (exp (/ (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2)))) (* (cbrt (/ (* (- x y) 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(exp (pow h0 2)) (exp (pow h1 2))) (log (+ (pow h0 2) (pow h1 2))) (exp (+ (pow h0 2) (pow h1 2))) (* (cbrt (+ (pow h0 2) (pow h1 2))) (cbrt (+ (pow h0 2) (pow h1 2)))) (cbrt (+ (pow h0 2) (pow h1 2))) (* (* (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2))) (+ (pow h0 2) (pow h1 2))) (sqrt (+ (pow h0 2) (pow h1 2))) (sqrt (+ (pow h0 2) (pow h1 2))) (+ (pow (pow h0 2) 3) (pow (pow h1 2) 3)) (+ (* (pow h0 2) (pow h0 2)) (- (* (pow h1 2) (pow h1 2)) (* (pow h0 2) (pow h1 2)))) (- (* (pow h0 2) (pow h0 2)) (* (pow h1 2) (pow h1 2))) (- (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) -1 1 1 -1 1 (* -1 (cbrt -1)) -1 1 1 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 1.377 * * [simplify]: iteration 0 : 493 enodes (cost 1309 ) 1.386 * * [simplify]: iteration 1 : 2760 enodes (cost 1228 ) 1.431 * * [simplify]: iteration 2 : 5002 enodes (cost 1222 ) 1.437 * * * [progress]: adding candidates to table 1.717 * [progress]: [Phase 3 of 3] Extracting. 1.717 * * [regime]: Finding splitpoints for: (# # # # #) 1.718 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.718 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.752 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.796 * * * [regime]: Found split indices: #