8.493 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.022 * [simplify]: Sending expressions to egg_math: (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) 0.024 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.027 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.029 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.032 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.037 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.047 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.081 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.130 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.130 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.130 * [taylor]: Taking taylor expansion of (+ x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [backup-simplify]: Simplify x into x 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (- x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [backup-simplify]: Simplify x into x 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [backup-simplify]: Simplify x into x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ x 0) into x 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ x 0) into x 0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.131 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.131 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.131 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.131 * [taylor]: Taking taylor expansion of (+ x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of (- x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (+ 0 y) into y 0.131 * [backup-simplify]: Simplify (- y) into (- y) 0.131 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.131 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.131 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.131 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.132 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 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 0.132 * [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 (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (+ 0 y) into y 0.132 * [backup-simplify]: Simplify (- y) into (- y) 0.132 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.132 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.132 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.132 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.132 * [taylor]: Taking taylor expansion of -1 in y 0.132 * [backup-simplify]: Simplify -1 into -1 0.132 * [backup-simplify]: Simplify -1 into -1 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of 2 in y 0.136 * [backup-simplify]: Simplify 2 into 2 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [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 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify -1 into -1 0.142 * [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)))) 0.142 * [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 0.142 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.142 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [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 (pow x 2)) (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (- 1) into -1 0.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (* -1 1) into -1 0.144 * [backup-simplify]: Simplify (+ 0 1) into 1 0.145 * [backup-simplify]: Simplify (/ -1 1) into -1 0.145 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.145 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.148 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.151 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.151 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.157 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.157 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of 2 in y 0.157 * [backup-simplify]: Simplify 2 into 2 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [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))))) 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.165 * [taylor]: Taking taylor expansion of -1 in y 0.165 * [backup-simplify]: Simplify -1 into -1 0.165 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [backup-simplify]: Simplify -1 into -1 0.168 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (- 1) into -1 0.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.171 * [backup-simplify]: Simplify (* 1 -1) into -1 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.171 * [backup-simplify]: Simplify (/ -1 1) into -1 0.171 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [backup-simplify]: Simplify -1 into -1 0.171 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [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) 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 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) 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (- 1) into -1 0.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.174 * [backup-simplify]: Simplify (* 1 -1) into -1 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (/ -1 1) into -1 0.175 * [backup-simplify]: Simplify (* -1 -1) into 1 0.175 * [taylor]: Taking taylor expansion of 1 in y 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.176 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.182 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.182 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.182 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of 2 in y 0.182 * [backup-simplify]: Simplify 2 into 2 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 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 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.191 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.191 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [backup-simplify]: Simplify x into x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [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 0.192 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.192 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 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 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) 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 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.197 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.197 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.199 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.201 * [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 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [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 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.208 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.208 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [backup-simplify]: Simplify y into y 0.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [taylor]: Taking taylor expansion of 1 in y 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [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 0.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 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 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.221 * * * [progress]: simplifying candidates 0.222 * [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)) 0.222 * [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)) 0.226 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.233 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.261 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.263 * * * [progress]: adding candidates to table 0.369 * * [progress]: iteration 2 / 4 0.369 * * * [progress]: picking best candidate 0.378 * * * * [pick]: Picked # 0.378 * * * [progress]: localizing error 0.389 * * * [progress]: generating rewritten candidates 0.389 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.403 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.502 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.536 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.536 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.536 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [backup-simplify]: Simplify x into x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.537 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.537 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.537 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.537 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [backup-simplify]: Simplify y into y 0.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.538 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.538 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.538 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [backup-simplify]: Simplify y into y 0.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.538 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.539 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.539 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.540 * [backup-simplify]: Simplify (+ 1 0) into 1 0.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.540 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.540 * [taylor]: Taking taylor expansion of 1/2 in y 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 (* 1 (* y 1)) into y 0.543 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.543 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [backup-simplify]: Simplify x into x 0.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.544 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.547 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.547 * [backup-simplify]: Simplify (+ 1 0) into 1 0.547 * [backup-simplify]: Simplify (sqrt 1) into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [backup-simplify]: Simplify y into y 0.549 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.550 * [backup-simplify]: Simplify (sqrt 1) into 1 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.551 * [taylor]: Taking taylor expansion of 1 in y 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.553 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.553 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of 1/2 in y 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.558 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.558 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [backup-simplify]: Simplify x into x 0.558 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.558 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [backup-simplify]: Simplify (+ 0 1) into 1 0.559 * [backup-simplify]: Simplify (sqrt 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [backup-simplify]: Simplify y into y 0.561 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.562 * [backup-simplify]: Simplify (sqrt 1) into 1 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [backup-simplify]: Simplify y into y 0.564 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.564 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.564 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (sqrt 1) into 1 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.566 * [taylor]: Taking taylor expansion of 1 in y 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.568 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.568 * [taylor]: Taking taylor expansion of 1/2 in y 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.568 * [taylor]: Taking taylor expansion of y in y 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 0.569 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.573 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.573 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.573 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [backup-simplify]: Simplify x into x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.573 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.573 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.573 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [backup-simplify]: Simplify y into y 0.574 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.574 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.574 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.574 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [backup-simplify]: Simplify y into y 0.574 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.574 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.575 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.575 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.576 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.576 * [taylor]: Taking taylor expansion of 1/2 in y 0.576 * [backup-simplify]: Simplify 1/2 into 1/2 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.579 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.579 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [backup-simplify]: Simplify x into x 0.579 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.579 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [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 0.580 * [backup-simplify]: Simplify (+ 0 1) into 1 0.580 * [backup-simplify]: Simplify (sqrt 1) into 1 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [backup-simplify]: Simplify y into y 0.583 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [backup-simplify]: Simplify (sqrt 1) into 1 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.585 * [backup-simplify]: Simplify y into y 0.585 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.586 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.586 * [backup-simplify]: Simplify (+ 1 0) into 1 0.586 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.587 * [taylor]: Taking taylor expansion of 1 in y 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.589 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of 1/2 in y 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.594 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.594 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [backup-simplify]: Simplify x into x 0.594 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.594 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.595 * [backup-simplify]: Simplify (sqrt 1) into 1 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 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 (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [backup-simplify]: Simplify y into y 0.598 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.598 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.598 * [backup-simplify]: Simplify (+ 1 0) into 1 0.598 * [backup-simplify]: Simplify (sqrt 1) into 1 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [backup-simplify]: Simplify y into y 0.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.601 * [backup-simplify]: Simplify (+ 1 0) into 1 0.601 * [backup-simplify]: Simplify (sqrt 1) into 1 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.602 * [taylor]: Taking taylor expansion of 1 in y 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.604 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.604 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of 1/2 in y 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.609 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.609 * [backup-simplify]: Simplify (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.609 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.609 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.609 * [taylor]: Taking taylor expansion of (+ x y) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [backup-simplify]: Simplify x into x 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of (- x y) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [backup-simplify]: Simplify x into x 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [backup-simplify]: Simplify x into x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (+ x 0) into x 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ x 0) into x 0.610 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.610 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.610 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.610 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.610 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.610 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.610 * [taylor]: Taking taylor expansion of (+ x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [backup-simplify]: Simplify y into y 0.610 * [taylor]: Taking taylor expansion of (- x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [backup-simplify]: Simplify y into y 0.610 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [backup-simplify]: Simplify y into y 0.610 * [backup-simplify]: Simplify (+ 0 y) into y 0.610 * [backup-simplify]: Simplify (- y) into (- y) 0.610 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.610 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.611 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.611 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.611 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.611 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.611 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.611 * [taylor]: Taking taylor expansion of (+ x y) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [backup-simplify]: Simplify y into y 0.611 * [taylor]: Taking taylor expansion of (- x y) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [backup-simplify]: Simplify y into y 0.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [backup-simplify]: Simplify y into y 0.611 * [backup-simplify]: Simplify (+ 0 y) into y 0.611 * [backup-simplify]: Simplify (- y) into (- y) 0.611 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.611 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.611 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.611 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.611 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.611 * [taylor]: Taking taylor expansion of -1 in y 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 1 0) into 1 0.612 * [backup-simplify]: Simplify (+ 1 0) into 1 0.612 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) 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 0 into 0 0.613 * [backup-simplify]: Simplify (- 0) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.615 * [backup-simplify]: Simplify (+ 1 0) into 1 0.615 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.615 * [taylor]: Taking taylor expansion of 2 in y 0.615 * [backup-simplify]: Simplify 2 into 2 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [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 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify -1 into -1 0.624 * [backup-simplify]: Simplify (* (/ (- (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (/ (+ (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 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)))) 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.624 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [backup-simplify]: Simplify x into x 0.624 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [backup-simplify]: Simplify x into x 0.625 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [backup-simplify]: Simplify x into x 0.625 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [backup-simplify]: Simplify (- 1) into -1 0.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.626 * [backup-simplify]: Simplify (+ 1 0) into 1 0.626 * [backup-simplify]: Simplify (* -1 1) into -1 0.627 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (/ -1 1) into -1 0.627 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.627 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [backup-simplify]: Simplify y into y 0.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.628 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.629 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (+ 0 1) into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (+ 1 0) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.630 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [backup-simplify]: Simplify y into y 0.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [backup-simplify]: Simplify y into y 0.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [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 y 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [backup-simplify]: Simplify y into y 0.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.631 * [backup-simplify]: Simplify (+ 1 0) into 1 0.632 * [backup-simplify]: Simplify (+ 0 1) into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (+ 1 0) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of 1 in y 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.634 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.634 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.639 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.639 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.639 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.639 * [taylor]: Taking taylor expansion of 2 in y 0.639 * [backup-simplify]: Simplify 2 into 2 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (* 1 1) into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.644 * [backup-simplify]: Simplify (- 0) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (* (/ (- (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (/ (+ (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 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))))) 0.648 * [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 0.648 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.648 * [taylor]: Taking taylor expansion of -1 in y 0.648 * [backup-simplify]: Simplify -1 into -1 0.648 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.648 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (/ 1 1) into 1 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [backup-simplify]: Simplify x into x 0.648 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.648 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [backup-simplify]: Simplify x into x 0.649 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [backup-simplify]: Simplify x into x 0.649 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.649 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.651 * [taylor]: Taking taylor expansion of -1 in x 0.651 * [backup-simplify]: Simplify -1 into -1 0.651 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [backup-simplify]: Simplify y into y 0.651 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [backup-simplify]: Simplify y into y 0.651 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [backup-simplify]: Simplify y into y 0.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (- 1) into -1 0.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.653 * [backup-simplify]: Simplify (* 1 -1) into -1 0.654 * [backup-simplify]: Simplify (+ 1 0) into 1 0.654 * [backup-simplify]: Simplify (/ -1 1) into -1 0.654 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.654 * [taylor]: Taking taylor expansion of -1 in x 0.654 * [backup-simplify]: Simplify -1 into -1 0.654 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.654 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [backup-simplify]: Simplify y into y 0.654 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [backup-simplify]: Simplify y into y 0.654 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [backup-simplify]: Simplify y into y 0.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.656 * [backup-simplify]: Simplify (+ 0 1) into 1 0.656 * [backup-simplify]: Simplify (- 1) into -1 0.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.656 * [backup-simplify]: Simplify (* 1 -1) into -1 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [backup-simplify]: Simplify (/ -1 1) into -1 0.657 * [backup-simplify]: Simplify (* -1 -1) into 1 0.657 * [taylor]: Taking taylor expansion of 1 in y 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.659 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.664 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.665 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.665 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of 2 in y 0.665 * [backup-simplify]: Simplify 2 into 2 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.674 * [backup-simplify]: Simplify (/ (+ x y) (sqrt (+ (* x x) (* y y)))) into (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) 0.674 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in (x y) around 0 0.674 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in y 0.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [backup-simplify]: Simplify x into x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.674 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.674 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.675 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.675 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.675 * [taylor]: Taking taylor expansion of (+ x y) in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [backup-simplify]: Simplify x into x 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [backup-simplify]: Simplify y into y 0.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.675 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.676 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.676 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 0.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 0.676 * [taylor]: Taking taylor expansion of (+ x y) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [backup-simplify]: Simplify y into y 0.676 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [backup-simplify]: Simplify y into y 0.677 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.677 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.677 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.677 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 0.677 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 0.677 * [taylor]: Taking taylor expansion of (+ x y) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [taylor]: Taking taylor expansion of y in x 0.677 * [backup-simplify]: Simplify y into y 0.677 * [backup-simplify]: Simplify (+ 0 y) into y 0.678 * [backup-simplify]: Simplify (* (/ 1 y) y) into 1 0.678 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (+ 1 0) into 1 0.678 * [backup-simplify]: Simplify (+ (* (/ 1 y) 1) (* 0 y)) into (/ 1 y) 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.680 * [backup-simplify]: Simplify (+ 1 0) into 1 0.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 0.680 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+)) (* 2 (/ 1 y))) into (/ -1/2 (pow y 3)) 0.681 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 1) (* (/ -1/2 (pow y 3)) y))) into (- (* 1/2 (/ 1 (pow y 2)))) 0.681 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.681 * [taylor]: Taking taylor expansion of 1/2 in y 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.686 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 4))) (/ 0 (pow y 2))))) into 0 0.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 3)))))) (* 2 (/ 1 y))) into 0 0.687 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y 3)) 1) (* 0 y)))) into (- (* 1/2 (/ 1 (pow y 3)))) 0.687 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.687 * [taylor]: Taking taylor expansion of 1/2 in y 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) 0.693 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [backup-simplify]: Simplify x into x 0.694 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [backup-simplify]: Simplify x into x 0.694 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.694 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (* 1 1) into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.695 * [backup-simplify]: Simplify (+ 0 1) into 1 0.695 * [backup-simplify]: Simplify (/ 1 1) into 1 0.695 * [backup-simplify]: Simplify (sqrt 1) into 1 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.697 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [backup-simplify]: Simplify y into y 0.697 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (* 1 1) into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [backup-simplify]: Simplify y into y 0.698 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.698 * [backup-simplify]: Simplify (+ 1 0) into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [backup-simplify]: Simplify (sqrt 1) into 1 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.701 * [taylor]: Taking taylor expansion of y in x 0.701 * [backup-simplify]: Simplify y into y 0.701 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [backup-simplify]: Simplify y into y 0.702 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.702 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.702 * [backup-simplify]: Simplify (+ 1 0) into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [backup-simplify]: Simplify (sqrt 1) into 1 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 1) into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of 1 in y 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 0.709 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2)) 0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y 2)))) 0.710 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of 1/2 in y 0.710 * [backup-simplify]: Simplify 1/2 into 1/2 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (* 1 1) into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ -1/2 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (pow y 3)))) 0.720 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.720 * [taylor]: Taking taylor expansion of 1/2 in y 0.720 * [backup-simplify]: Simplify 1/2 into 1/2 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (* 1 1) into 1 0.721 * [backup-simplify]: Simplify (* 1 1) into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) 0.726 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in (x y) around 0 0.726 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.726 * [taylor]: Taking taylor expansion of -1 in y 0.726 * [backup-simplify]: Simplify -1 into -1 0.726 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [backup-simplify]: Simplify x into x 0.727 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.727 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [backup-simplify]: Simplify x into x 0.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.727 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (* 1 1) into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [backup-simplify]: Simplify (+ 0 1) into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [backup-simplify]: Simplify (sqrt 1) into 1 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.730 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.730 * [taylor]: Taking taylor expansion of -1 in x 0.730 * [backup-simplify]: Simplify -1 into -1 0.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [backup-simplify]: Simplify y into y 0.730 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [backup-simplify]: Simplify y into y 0.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.732 * [backup-simplify]: Simplify (+ 1 0) into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (sqrt 1) into 1 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.734 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.734 * [taylor]: Taking taylor expansion of -1 in x 0.734 * [backup-simplify]: Simplify -1 into -1 0.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [backup-simplify]: Simplify y into y 0.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [backup-simplify]: Simplify y into y 0.736 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.736 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.736 * [backup-simplify]: Simplify (+ 1 0) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (sqrt 1) into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 1) into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (* -1 1) into -1 0.739 * [taylor]: Taking taylor expansion of -1 in y 0.739 * [backup-simplify]: Simplify -1 into -1 0.739 * [backup-simplify]: Simplify -1 into -1 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 0.740 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 0.743 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2)) 0.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y 2)))) 0.745 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow y 2))))) (+ (* 0 (/ 1 y)) (* 0 1))) into (* 1/2 (/ 1 (pow y 2))) 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of 1/2 in y 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ -1/2 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (pow y 3)))) 0.753 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow y 3))))) (+ (* 0 (- (* 1/2 (/ 1 (pow y 2))))) (+ (* 0 (/ 1 y)) (* 0 1)))) into (* 1/2 (/ 1 (pow y 3))) 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.753 * [taylor]: Taking taylor expansion of 1/2 in y 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.753 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify -1 into -1 0.759 * * * [progress]: simplifying candidates 0.761 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ 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y)))))) (+ (log (/ (- x y) (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (log (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (exp (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (* (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) 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(- x y) (+ x y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ 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h0) (* h1 h1)))) (/ 1 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ h0 h1) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 1) (/ (+ h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ h0 h1) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ h0 h1) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ h0 h1) (sqrt 1)) (/ (+ h0 h1) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ h0 h1) 1) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ h0 h1))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ h0 h1)) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ h0 h1)) (/ (+ h0 h1) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (/ (+ h0 h1) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (- h0 h1)) h1 h0 (* -1 h0) h1 h0 (* -1 h0) -1 1 1 1 1 -1 0.771 * * [simplify]: iteration 0 : 579 enodes (cost 2358 ) 0.781 * * [simplify]: iteration 1 : 2429 enodes (cost 2169 ) 0.816 * * [simplify]: iteration 2 : 5001 enodes (cost 2080 ) 0.825 * * * [progress]: adding candidates to table 1.192 * * [progress]: iteration 3 / 4 1.192 * * * [progress]: picking best candidate 1.199 * * * * [pick]: Picked # 1.200 * * * [progress]: localizing error 1.209 * * * [progress]: generating rewritten candidates 1.209 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.245 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.281 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.294 * * * [progress]: generating series expansions 1.294 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.295 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) 1.295 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 1.295 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 1.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.295 * [taylor]: Taking taylor expansion of x in y 1.295 * [backup-simplify]: Simplify x into x 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.295 * [taylor]: Taking taylor expansion of y in y 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.295 * [taylor]: Taking taylor expansion of (+ x y) in y 1.295 * [taylor]: Taking taylor expansion of x in y 1.295 * [backup-simplify]: Simplify x into x 1.295 * [taylor]: Taking taylor expansion of y in y 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [taylor]: Taking taylor expansion of (- x y) in y 1.295 * [taylor]: Taking taylor expansion of x in y 1.295 * [backup-simplify]: Simplify x into x 1.295 * [taylor]: Taking taylor expansion of y in y 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.295 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.295 * [backup-simplify]: Simplify (+ x 0) into x 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ x 0) into x 1.296 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.296 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.296 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 1.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.296 * [taylor]: Taking taylor expansion of y in x 1.296 * [backup-simplify]: Simplify y into y 1.296 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.296 * [taylor]: Taking taylor expansion of (+ x y) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [taylor]: Taking taylor expansion of y in x 1.296 * [backup-simplify]: Simplify y into y 1.296 * [taylor]: Taking taylor expansion of (- x y) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [taylor]: Taking taylor expansion of y in x 1.296 * [backup-simplify]: Simplify y into y 1.296 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.296 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.296 * [backup-simplify]: Simplify (+ 0 y) into y 1.296 * [backup-simplify]: Simplify (- y) into (- y) 1.296 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.296 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.297 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 1.297 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 1.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.297 * [taylor]: Taking taylor expansion of y in x 1.297 * [backup-simplify]: Simplify y into y 1.297 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.297 * [taylor]: Taking taylor expansion of (+ x y) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [taylor]: Taking taylor expansion of y in x 1.297 * [backup-simplify]: Simplify y into y 1.297 * [taylor]: Taking taylor expansion of (- x y) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [taylor]: Taking taylor expansion of y in x 1.297 * [backup-simplify]: Simplify y into y 1.297 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.297 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.297 * [backup-simplify]: Simplify (+ 0 y) into y 1.297 * [backup-simplify]: Simplify (- y) into (- y) 1.297 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.297 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.297 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 1.297 * [taylor]: Taking taylor expansion of -1 in y 1.297 * [backup-simplify]: Simplify -1 into -1 1.297 * [backup-simplify]: Simplify -1 into -1 1.297 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.298 * [backup-simplify]: Simplify (+ 1 0) into 1 1.298 * [backup-simplify]: Simplify (+ 1 0) into 1 1.298 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 1.299 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0 1.299 * [taylor]: Taking taylor expansion of 0 in y 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (* 1 1) into 1 1.302 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.302 * [backup-simplify]: Simplify (+ 1 0) into 1 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 1.303 * [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)))) 1.303 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.303 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.303 * [taylor]: Taking taylor expansion of 2 in y 1.303 * [backup-simplify]: Simplify 2 into 2 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.309 * [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 1.309 * [taylor]: Taking taylor expansion of 0 in y 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify -1 into -1 1.309 * [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)))) 1.309 * [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 1.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 1.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.310 * [taylor]: Taking taylor expansion of x in y 1.310 * [backup-simplify]: Simplify x into x 1.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.310 * [taylor]: Taking taylor expansion of y in y 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.310 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.310 * [taylor]: Taking taylor expansion of x in y 1.310 * [backup-simplify]: Simplify x into x 1.310 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.310 * [taylor]: Taking taylor expansion of y in y 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (/ 1 1) into 1 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (/ 1 1) into 1 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.311 * [taylor]: Taking taylor expansion of x in y 1.311 * [backup-simplify]: Simplify x into x 1.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.311 * [backup-simplify]: Simplify (+ 0 1) into 1 1.312 * [backup-simplify]: Simplify (- 1) into -1 1.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.312 * [backup-simplify]: Simplify (+ 1 0) into 1 1.312 * [backup-simplify]: Simplify (* -1 1) into -1 1.312 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.313 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.313 * [taylor]: Taking taylor expansion of y in x 1.313 * [backup-simplify]: Simplify y into y 1.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.313 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.313 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [backup-simplify]: Simplify y into y 1.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [backup-simplify]: Simplify y into y 1.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify (+ 1 0) into 1 1.315 * [backup-simplify]: Simplify (+ 1 0) into 1 1.315 * [backup-simplify]: Simplify (+ 0 1) into 1 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (/ 1 1) into 1 1.315 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.316 * [backup-simplify]: Simplify y into y 1.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.316 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.316 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.316 * [backup-simplify]: Simplify y into y 1.316 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.316 * [backup-simplify]: Simplify y into y 1.317 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (/ 1 1) into 1 1.317 * [backup-simplify]: Simplify (+ 1 0) into 1 1.317 * [backup-simplify]: Simplify (+ 1 0) into 1 1.318 * [backup-simplify]: Simplify (+ 0 1) into 1 1.318 * [backup-simplify]: Simplify (* 1 1) into 1 1.318 * [backup-simplify]: Simplify (/ 1 1) into 1 1.318 * [taylor]: Taking taylor expansion of 1 in y 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.320 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.320 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in y 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.325 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 1.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.325 * [taylor]: Taking taylor expansion of 2 in y 1.325 * [backup-simplify]: Simplify 2 into 2 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (* 1 1) into 1 1.325 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 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 0) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in y 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.333 * [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))))) 1.333 * [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 1.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 1.333 * [taylor]: Taking taylor expansion of -1 in y 1.333 * [backup-simplify]: Simplify -1 into -1 1.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.333 * [taylor]: Taking taylor expansion of x in y 1.333 * [backup-simplify]: Simplify x into x 1.333 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.333 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.334 * [backup-simplify]: Simplify (/ 1 1) into 1 1.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (/ 1 1) into 1 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [backup-simplify]: Simplify x into x 1.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.334 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (/ 1 1) into 1 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [backup-simplify]: Simplify x into x 1.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.335 * [backup-simplify]: Simplify (+ 0 1) into 1 1.335 * [backup-simplify]: Simplify (+ 1 0) into 1 1.335 * [backup-simplify]: Simplify (+ 1 0) into 1 1.335 * [backup-simplify]: Simplify (* 1 1) into 1 1.335 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [backup-simplify]: Simplify -1 into -1 1.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.336 * [backup-simplify]: Simplify y into y 1.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.336 * [backup-simplify]: Simplify y into y 1.336 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (/ 1 1) into 1 1.337 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.337 * [backup-simplify]: Simplify (+ 1 0) into 1 1.338 * [backup-simplify]: Simplify (+ 0 1) into 1 1.338 * [backup-simplify]: Simplify (- 1) into -1 1.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.338 * [backup-simplify]: Simplify (* 1 -1) into -1 1.339 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.339 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.339 * [backup-simplify]: Simplify -1 into -1 1.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.339 * [taylor]: Taking taylor expansion of y in x 1.339 * [backup-simplify]: Simplify y into y 1.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [backup-simplify]: Simplify y into y 1.340 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [backup-simplify]: Simplify y into y 1.340 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.341 * [backup-simplify]: Simplify (+ 1 0) into 1 1.341 * [backup-simplify]: Simplify (+ 0 1) into 1 1.341 * [backup-simplify]: Simplify (- 1) into -1 1.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.342 * [backup-simplify]: Simplify (* 1 -1) into -1 1.342 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.342 * [backup-simplify]: Simplify (* -1 -1) into 1 1.342 * [taylor]: Taking taylor expansion of 1 in y 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.344 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.345 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.349 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.350 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 1.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.350 * [taylor]: Taking taylor expansion of 2 in y 1.350 * [backup-simplify]: Simplify 2 into 2 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.350 * [backup-simplify]: Simplify (* 1 1) into 1 1.350 * [backup-simplify]: Simplify (/ 1 1) into 1 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.358 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 1.358 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.358 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.358 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.358 * [taylor]: Taking taylor expansion of (+ x y) in y 1.359 * [taylor]: Taking taylor expansion of x in y 1.359 * [backup-simplify]: Simplify x into x 1.359 * [taylor]: Taking taylor expansion of y in y 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [taylor]: Taking taylor expansion of (- x y) in y 1.359 * [taylor]: Taking taylor expansion of x in y 1.359 * [backup-simplify]: Simplify x into x 1.359 * [taylor]: Taking taylor expansion of y in y 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.359 * [taylor]: Taking taylor expansion of x in y 1.359 * [backup-simplify]: Simplify x into x 1.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (+ x 0) into x 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ x 0) into x 1.359 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.359 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.359 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.359 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.359 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.359 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.359 * [taylor]: Taking taylor expansion of (+ x y) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [taylor]: Taking taylor expansion of y in x 1.359 * [backup-simplify]: Simplify y into y 1.359 * [taylor]: Taking taylor expansion of (- x y) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of y in x 1.360 * [backup-simplify]: Simplify y into y 1.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.360 * [taylor]: Taking taylor expansion of y in x 1.360 * [backup-simplify]: Simplify y into y 1.360 * [backup-simplify]: Simplify (+ 0 y) into y 1.360 * [backup-simplify]: Simplify (- y) into (- y) 1.360 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.360 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.360 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.360 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.360 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.360 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.360 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.360 * [taylor]: Taking taylor expansion of (+ x y) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of y in x 1.360 * [backup-simplify]: Simplify y into y 1.360 * [taylor]: Taking taylor expansion of (- x y) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of y in x 1.360 * [backup-simplify]: Simplify y into y 1.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.360 * [taylor]: Taking taylor expansion of y in x 1.360 * [backup-simplify]: Simplify y into y 1.360 * [backup-simplify]: Simplify (+ 0 y) into y 1.360 * [backup-simplify]: Simplify (- y) into (- y) 1.360 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.361 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.361 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.361 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.361 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 1.361 * [taylor]: Taking taylor expansion of -1 in y 1.361 * [backup-simplify]: Simplify -1 into -1 1.361 * [backup-simplify]: Simplify -1 into -1 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ 1 0) into 1 1.362 * [backup-simplify]: Simplify (+ 1 0) into 1 1.362 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 1.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) 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 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 1.363 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.364 * [backup-simplify]: Simplify (+ 1 0) into 1 1.364 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 1.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.364 * [taylor]: Taking taylor expansion of 2 in y 1.364 * [backup-simplify]: Simplify 2 into 2 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.364 * [taylor]: Taking taylor expansion of y in y 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [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 1.370 * [taylor]: Taking taylor expansion of 0 in y 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify -1 into -1 1.370 * [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)))) 1.370 * [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 1.370 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.370 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.370 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.370 * [taylor]: Taking taylor expansion of x in y 1.370 * [backup-simplify]: Simplify x into x 1.370 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.370 * [taylor]: Taking taylor expansion of y in y 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.370 * [taylor]: Taking taylor expansion of y in y 1.370 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.371 * [taylor]: Taking taylor expansion of x in y 1.371 * [backup-simplify]: Simplify x into x 1.371 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.371 * [taylor]: Taking taylor expansion of x in y 1.371 * [backup-simplify]: Simplify x into x 1.371 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.371 * [taylor]: Taking taylor expansion of y in y 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (/ 1 1) into 1 1.372 * [backup-simplify]: Simplify (- 1) into -1 1.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.372 * [backup-simplify]: Simplify (+ 1 0) into 1 1.372 * [backup-simplify]: Simplify (* -1 1) into -1 1.373 * [backup-simplify]: Simplify (+ 0 1) into 1 1.373 * [backup-simplify]: Simplify (/ -1 1) into -1 1.373 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.373 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.373 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.373 * [taylor]: Taking taylor expansion of y in x 1.373 * [backup-simplify]: Simplify y into y 1.373 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.373 * [taylor]: Taking taylor expansion of y in x 1.373 * [backup-simplify]: Simplify y into y 1.374 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (* 1 1) into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.374 * [taylor]: Taking taylor expansion of y in x 1.374 * [backup-simplify]: Simplify y into y 1.374 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.375 * [backup-simplify]: Simplify (+ 1 0) into 1 1.375 * [backup-simplify]: Simplify (+ 0 1) into 1 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.375 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.376 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.376 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.376 * [backup-simplify]: Simplify y into y 1.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.376 * [backup-simplify]: Simplify y into y 1.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.377 * [taylor]: Taking taylor expansion of y in x 1.377 * [backup-simplify]: Simplify y into y 1.377 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.377 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.377 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify (+ 0 1) into 1 1.378 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of 1 in y 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.380 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.380 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.381 * [taylor]: Taking taylor expansion of 0 in y 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.385 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.385 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.385 * [taylor]: Taking taylor expansion of 2 in y 1.385 * [backup-simplify]: Simplify 2 into 2 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.385 * [taylor]: Taking taylor expansion of y in y 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.397 * [taylor]: Taking taylor expansion of 0 in y 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [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))))) 1.397 * [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 1.397 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.397 * [taylor]: Taking taylor expansion of -1 in y 1.397 * [backup-simplify]: Simplify -1 into -1 1.397 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.398 * [taylor]: Taking taylor expansion of x in y 1.398 * [backup-simplify]: Simplify x into x 1.398 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.398 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.398 * [taylor]: Taking taylor expansion of x in y 1.398 * [backup-simplify]: Simplify x into x 1.398 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.398 * [taylor]: Taking taylor expansion of x in y 1.398 * [backup-simplify]: Simplify x into x 1.398 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.399 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (* 1 1) into 1 1.399 * [backup-simplify]: Simplify (/ 1 1) into 1 1.399 * [backup-simplify]: Simplify (+ 1 0) into 1 1.400 * [backup-simplify]: Simplify (+ 1 0) into 1 1.400 * [backup-simplify]: Simplify (* 1 1) into 1 1.400 * [backup-simplify]: Simplify (+ 0 1) into 1 1.400 * [backup-simplify]: Simplify (/ 1 1) into 1 1.400 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.400 * [taylor]: Taking taylor expansion of -1 in x 1.400 * [backup-simplify]: Simplify -1 into -1 1.400 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.400 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.400 * [taylor]: Taking taylor expansion of y in x 1.400 * [backup-simplify]: Simplify y into y 1.400 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.401 * [taylor]: Taking taylor expansion of y in x 1.401 * [backup-simplify]: Simplify y into y 1.401 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.402 * [taylor]: Taking taylor expansion of y in x 1.402 * [backup-simplify]: Simplify y into y 1.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.402 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.402 * [backup-simplify]: Simplify (+ 0 1) into 1 1.402 * [backup-simplify]: Simplify (- 1) into -1 1.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.403 * [backup-simplify]: Simplify (* 1 -1) into -1 1.403 * [backup-simplify]: Simplify (+ 1 0) into 1 1.403 * [backup-simplify]: Simplify (/ -1 1) into -1 1.403 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.403 * [taylor]: Taking taylor expansion of -1 in x 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.403 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.403 * [taylor]: Taking taylor expansion of y in x 1.403 * [backup-simplify]: Simplify y into y 1.403 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.404 * [taylor]: Taking taylor expansion of y in x 1.404 * [backup-simplify]: Simplify y into y 1.404 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.405 * [taylor]: Taking taylor expansion of y in x 1.405 * [backup-simplify]: Simplify y into y 1.405 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.405 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.405 * [backup-simplify]: Simplify (+ 0 1) into 1 1.405 * [backup-simplify]: Simplify (- 1) into -1 1.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.406 * [backup-simplify]: Simplify (* 1 -1) into -1 1.406 * [backup-simplify]: Simplify (+ 1 0) into 1 1.406 * [backup-simplify]: Simplify (/ -1 1) into -1 1.407 * [backup-simplify]: Simplify (* -1 -1) into 1 1.407 * [taylor]: Taking taylor expansion of 1 in y 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.408 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.410 * [taylor]: Taking taylor expansion of 0 in y 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.414 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 1.414 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 1.414 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.414 * [taylor]: Taking taylor expansion of 2 in y 1.414 * [backup-simplify]: Simplify 2 into 2 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 1.423 * [taylor]: Taking taylor expansion of 0 in y 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.423 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.423 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [backup-simplify]: Simplify x into x 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [backup-simplify]: Simplify y into y 1.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [backup-simplify]: Simplify y into y 1.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.424 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.424 * [taylor]: Taking taylor expansion of y in y 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [taylor]: Taking taylor expansion of 0 in y 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.425 * [backup-simplify]: Simplify (+ 1 0) into 1 1.425 * [taylor]: Taking taylor expansion of 1 in y 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (* 1 1) into 1 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in y 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.428 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.428 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.429 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.429 * [taylor]: Taking taylor expansion of x in y 1.429 * [backup-simplify]: Simplify x into x 1.429 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.429 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.430 * [taylor]: Taking taylor expansion of y in x 1.430 * [backup-simplify]: Simplify y into y 1.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.431 * [taylor]: Taking taylor expansion of y in x 1.431 * [backup-simplify]: Simplify y into y 1.431 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.431 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [taylor]: Taking taylor expansion of 1 in y 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [taylor]: Taking taylor expansion of 0 in y 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.439 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.439 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.439 * [taylor]: Taking taylor expansion of x in y 1.439 * [backup-simplify]: Simplify x into x 1.439 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.440 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.440 * [backup-simplify]: Simplify (/ 1 1) into 1 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (/ 1 1) into 1 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.441 * [taylor]: Taking taylor expansion of y in x 1.441 * [backup-simplify]: Simplify y into y 1.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (/ 1 1) into 1 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.442 * [backup-simplify]: Simplify y into y 1.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.442 * [backup-simplify]: Simplify (+ 1 0) into 1 1.442 * [taylor]: Taking taylor expansion of 1 in y 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [taylor]: Taking taylor expansion of 0 in y 1.446 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [taylor]: Taking taylor expansion of 0 in y 1.449 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.450 * * * [progress]: simplifying candidates 1.452 * [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 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)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (- (+ (* x x) (* y y))) (- (* (- x 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)) (+ x y)) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- x y)) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))) (* (* (- x y) (+ x y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* (- x y) (+ x y)) (- (* x x) (* y y))) (- 1) (- (- (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))))) (- 0 (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- 0 (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- 0 (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (- (log 1) (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- (log 1) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- (log 1) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (log (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (exp (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ 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(/ 1 (+ (* h0 h0) (* h1 h1))) (/ 1 (/ 1 (* (- h0 h1) (+ h0 h1)))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (pow h0 3) (pow h1 3)) (+ (pow h0 3) (pow h1 3))))) (/ 1 (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))))) (/ 1 (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (- h0 h1))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (* h0 h0) (* h1 h1)) (+ (pow h0 3) (pow h1 3))))) (/ 1 (* (+ h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))))) (/ 1 (* (+ h0 h1) (- h0 h1))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ (pow h0 3) (pow h1 3))))) (/ 1 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (- (* h0 h0) (* h1 h1))))) (/ 1 (- h0 h1)) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (pow h0 3) (pow h1 3)) (+ h0 h1)))) (/ 1 (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)))) (/ 1 (+ h0 h1)) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1)))) (/ (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) 1) (/ 1 (* (cbrt (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1)))) (cbrt (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1)))))) (/ 1 (sqrt (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))))) (/ 1 (/ (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (- h0 h1))) (/ 1 (/ (sqrt (+ (* h0 h0) (* h1 h1))) (- h0 h1))) (/ 1 (/ 1 (- h0 h1))) (/ 1 1) (/ 1 (+ (* h0 h0) (* h1 h1))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (pow h0 3) (pow h1 3)) (+ (pow h0 3) (pow h1 3))))) (/ 1 (/ (+ (* h0 h0) (* h1 h1)) (* (- (pow h0 3) (pow h1 3)) (- (* 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)) 1.461 * * [simplify]: iteration 0 : 604 enodes (cost 1641 ) 1.474 * * [simplify]: iteration 1 : 3913 enodes (cost 1448 ) 1.530 * * [simplify]: iteration 2 : 5001 enodes (cost 1367 ) 1.536 * * * [progress]: adding candidates to table 1.758 * * [progress]: iteration 4 / 4 1.758 * * * [progress]: picking best candidate 1.764 * * * * [pick]: Picked # 1.764 * * * [progress]: localizing error 1.779 * * * [progress]: generating rewritten candidates 1.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.786 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.803 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.933 * * * [progress]: generating series expansions 1.934 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.934 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.934 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.934 * [taylor]: Taking taylor expansion of x in y 1.934 * [backup-simplify]: Simplify x into x 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.934 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.934 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.934 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.935 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.935 * [taylor]: Taking taylor expansion of y in x 1.935 * [backup-simplify]: Simplify y into y 1.935 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.935 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.935 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.935 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [backup-simplify]: Simplify y into y 1.936 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.936 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.936 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.936 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [taylor]: Taking taylor expansion of 0 in y 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (* 1 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.937 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.938 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.938 * [taylor]: Taking taylor expansion of 1/2 in y 1.938 * [backup-simplify]: Simplify 1/2 into 1/2 1.938 * [taylor]: Taking taylor expansion of y in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.940 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.940 * [taylor]: Taking taylor expansion of 0 in y 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.941 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.941 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.941 * [taylor]: Taking taylor expansion of x in y 1.941 * [backup-simplify]: Simplify x into x 1.941 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.941 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.941 * [taylor]: Taking taylor expansion of y in y 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (+ 0 1) into 1 1.942 * [backup-simplify]: Simplify (sqrt 1) into 1 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.944 * [taylor]: Taking taylor expansion of y in x 1.944 * [backup-simplify]: Simplify y into y 1.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.945 * [backup-simplify]: Simplify (+ 1 0) into 1 1.945 * [backup-simplify]: Simplify (sqrt 1) into 1 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.947 * [taylor]: Taking taylor expansion of y in x 1.947 * [backup-simplify]: Simplify y into y 1.947 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.947 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.947 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (sqrt 1) into 1 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.949 * [taylor]: Taking taylor expansion of 1 in y 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of 0 in y 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.951 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.951 * [taylor]: Taking taylor expansion of 1/2 in y 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.951 * [taylor]: Taking taylor expansion of y in y 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.954 * [taylor]: Taking taylor expansion of 0 in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.956 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.956 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [backup-simplify]: Simplify x into x 1.956 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.956 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.957 * [backup-simplify]: Simplify (sqrt 1) into 1 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.959 * [backup-simplify]: Simplify y into y 1.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (sqrt 1) into 1 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.961 * [taylor]: Taking taylor expansion of y in x 1.961 * [backup-simplify]: Simplify y into y 1.961 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify (sqrt 1) into 1 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.963 * [taylor]: Taking taylor expansion of 1 in y 1.963 * [backup-simplify]: Simplify 1 into 1 1.964 * [taylor]: Taking taylor expansion of 0 in y 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.965 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.965 * [taylor]: Taking taylor expansion of 1/2 in y 1.965 * [backup-simplify]: Simplify 1/2 into 1/2 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.965 * [taylor]: Taking taylor expansion of y in y 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.969 * [taylor]: Taking taylor expansion of 0 in y 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.970 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.970 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.970 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.970 * [taylor]: Taking taylor expansion of x in y 1.970 * [backup-simplify]: Simplify x into x 1.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.970 * [taylor]: Taking taylor expansion of y in y 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.970 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.970 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.970 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.971 * [taylor]: Taking taylor expansion of y in x 1.971 * [backup-simplify]: Simplify y into y 1.971 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.971 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.971 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.972 * [taylor]: Taking taylor expansion of y in x 1.972 * [backup-simplify]: Simplify y into y 1.972 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.972 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.972 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.972 * [taylor]: Taking taylor expansion of y in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.973 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.974 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.974 * [taylor]: Taking taylor expansion of 1/2 in y 1.974 * [backup-simplify]: Simplify 1/2 into 1/2 1.974 * [taylor]: Taking taylor expansion of y in y 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.976 * [taylor]: Taking taylor expansion of 0 in y 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.977 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.977 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [backup-simplify]: Simplify x into x 1.977 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.977 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [backup-simplify]: Simplify (+ 0 1) into 1 1.978 * [backup-simplify]: Simplify (sqrt 1) into 1 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [backup-simplify]: Simplify y into y 1.980 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.980 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.980 * [backup-simplify]: Simplify (+ 1 0) into 1 1.981 * [backup-simplify]: Simplify (sqrt 1) into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.983 * [taylor]: Taking taylor expansion of y in x 1.983 * [backup-simplify]: Simplify y into y 1.983 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.983 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.983 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (sqrt 1) into 1 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.985 * [taylor]: Taking taylor expansion of 1 in y 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of 0 in y 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.987 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.987 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.987 * [taylor]: Taking taylor expansion of 1/2 in y 1.987 * [backup-simplify]: Simplify 1/2 into 1/2 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.992 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.992 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.992 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.992 * [taylor]: Taking taylor expansion of x in y 1.992 * [backup-simplify]: Simplify x into x 1.992 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.992 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ 0 1) into 1 1.993 * [backup-simplify]: Simplify (sqrt 1) into 1 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [backup-simplify]: Simplify y into y 1.995 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.996 * [backup-simplify]: Simplify (+ 1 0) into 1 1.996 * [backup-simplify]: Simplify (sqrt 1) into 1 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.998 * [taylor]: Taking taylor expansion of y in x 1.998 * [backup-simplify]: Simplify y into y 1.998 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.998 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.998 * [backup-simplify]: Simplify (+ 1 0) into 1 1.998 * [backup-simplify]: Simplify (sqrt 1) into 1 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.000 * [taylor]: Taking taylor expansion of 1 in y 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of 0 in y 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.002 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.002 * [taylor]: Taking taylor expansion of 1/2 in y 2.002 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* 1 1) into 1 2.002 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.005 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.006 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 2.006 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.007 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.007 * [taylor]: Taking taylor expansion of x in y 2.007 * [backup-simplify]: Simplify x into x 2.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.007 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.007 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.007 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.007 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.007 * [taylor]: Taking taylor expansion of y in x 2.007 * [backup-simplify]: Simplify y into y 2.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.007 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.008 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.008 * [taylor]: Taking taylor expansion of y in x 2.008 * [backup-simplify]: Simplify y into y 2.008 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.008 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.008 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.009 * [taylor]: Taking taylor expansion of y in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [taylor]: Taking taylor expansion of 0 in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.010 * [backup-simplify]: Simplify (+ 1 0) into 1 2.010 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.010 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.010 * [taylor]: Taking taylor expansion of 1/2 in y 2.010 * [backup-simplify]: Simplify 1/2 into 1/2 2.010 * [taylor]: Taking taylor expansion of y in y 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.012 * [taylor]: Taking taylor expansion of 0 in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.013 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.013 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [backup-simplify]: Simplify x into x 2.013 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.013 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.013 * [taylor]: Taking taylor expansion of y in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ 0 1) into 1 2.014 * [backup-simplify]: Simplify (sqrt 1) into 1 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.021 * [backup-simplify]: Simplify y into y 2.021 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.021 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.022 * [backup-simplify]: Simplify (+ 1 0) into 1 2.022 * [backup-simplify]: Simplify (sqrt 1) into 1 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.024 * [taylor]: Taking taylor expansion of y in x 2.024 * [backup-simplify]: Simplify y into y 2.024 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.024 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.024 * [backup-simplify]: Simplify (+ 1 0) into 1 2.025 * [backup-simplify]: Simplify (sqrt 1) into 1 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.026 * [taylor]: Taking taylor expansion of 1 in y 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of 0 in y 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.028 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.028 * [taylor]: Taking taylor expansion of 1/2 in y 2.028 * [backup-simplify]: Simplify 1/2 into 1/2 2.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.028 * [taylor]: Taking taylor expansion of y in y 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.031 * [taylor]: Taking taylor expansion of 0 in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.033 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.033 * [taylor]: Taking taylor expansion of x in y 2.033 * [backup-simplify]: Simplify x into x 2.033 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (sqrt 1) into 1 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [backup-simplify]: Simplify y into y 2.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.037 * [backup-simplify]: Simplify (+ 1 0) into 1 2.037 * [backup-simplify]: Simplify (sqrt 1) into 1 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.039 * [taylor]: Taking taylor expansion of y in x 2.039 * [backup-simplify]: Simplify y into y 2.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.039 * [backup-simplify]: Simplify (+ 1 0) into 1 2.039 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.041 * [taylor]: Taking taylor expansion of 1 in y 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of 0 in y 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.043 * [taylor]: Taking taylor expansion of 1/2 in y 2.043 * [backup-simplify]: Simplify 1/2 into 1/2 2.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (* 1 1) into 1 2.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.046 * [taylor]: Taking taylor expansion of 0 in y 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.047 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.048 * [backup-simplify]: Simplify (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (exp (log (sqrt (+ (* x x) (* y y))))))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 2.048 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.048 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 2.048 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.048 * [taylor]: Taking taylor expansion of (+ x y) in y 2.048 * [taylor]: Taking taylor expansion of x in y 2.048 * [backup-simplify]: Simplify x into x 2.048 * [taylor]: Taking taylor expansion of y in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of (- x y) in y 2.048 * [taylor]: Taking taylor expansion of x in y 2.048 * [backup-simplify]: Simplify x into x 2.048 * [taylor]: Taking taylor expansion of y in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.048 * [taylor]: Taking taylor expansion of x in y 2.048 * [backup-simplify]: Simplify x into x 2.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.048 * [taylor]: Taking taylor expansion of y in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (+ x 0) into x 2.048 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ x 0) into x 2.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.049 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.049 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.049 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.049 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.049 * [taylor]: Taking taylor expansion of (+ x y) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of y in x 2.049 * [backup-simplify]: Simplify y into y 2.049 * [taylor]: Taking taylor expansion of (- x y) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of y in x 2.049 * [backup-simplify]: Simplify y into y 2.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.049 * [taylor]: Taking taylor expansion of y in x 2.049 * [backup-simplify]: Simplify y into y 2.049 * [backup-simplify]: Simplify (+ 0 y) into y 2.049 * [backup-simplify]: Simplify (- y) into (- y) 2.049 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.049 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.049 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.050 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 2.050 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.050 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.050 * [taylor]: Taking taylor expansion of (+ x y) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of y in x 2.050 * [backup-simplify]: Simplify y into y 2.050 * [taylor]: Taking taylor expansion of (- x y) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of y in x 2.050 * [backup-simplify]: Simplify y into y 2.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.050 * [taylor]: Taking taylor expansion of y in x 2.050 * [backup-simplify]: Simplify y into y 2.050 * [backup-simplify]: Simplify (+ 0 y) into y 2.050 * [backup-simplify]: Simplify (- y) into (- y) 2.050 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.050 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.050 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.050 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 2.050 * [taylor]: Taking taylor expansion of -1 in y 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [backup-simplify]: Simplify -1 into -1 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 1 0) into 1 2.051 * [backup-simplify]: Simplify (+ 1 0) into 1 2.051 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 2.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 2.052 * [taylor]: Taking taylor expansion of 0 in y 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (- 0) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.053 * [backup-simplify]: Simplify (+ 1 0) into 1 2.054 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 2.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.054 * [taylor]: Taking taylor expansion of 2 in y 2.054 * [backup-simplify]: Simplify 2 into 2 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.054 * [taylor]: Taking taylor expansion of y in y 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [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 2.059 * [taylor]: Taking taylor expansion of 0 in y 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify -1 into -1 2.060 * [backup-simplify]: Simplify (* (/ (- (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (/ (+ (/ 1 x) (/ 1 y)) (exp (log (sqrt (+ (* (/ 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)))) 2.060 * [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 2.060 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.060 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.060 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.060 * [taylor]: Taking taylor expansion of x in y 2.060 * [backup-simplify]: Simplify x into x 2.060 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.060 * [taylor]: Taking taylor expansion of y in y 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.060 * [taylor]: Taking taylor expansion of y in y 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.060 * [taylor]: Taking taylor expansion of x in y 2.060 * [backup-simplify]: Simplify x into x 2.060 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.060 * [taylor]: Taking taylor expansion of x in y 2.060 * [backup-simplify]: Simplify x into x 2.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.061 * [taylor]: Taking taylor expansion of y in y 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [backup-simplify]: Simplify (- 1) into -1 2.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.062 * [backup-simplify]: Simplify (+ 1 0) into 1 2.062 * [backup-simplify]: Simplify (* -1 1) into -1 2.062 * [backup-simplify]: Simplify (+ 0 1) into 1 2.063 * [backup-simplify]: Simplify (/ -1 1) into -1 2.063 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.063 * [taylor]: Taking taylor expansion of y in x 2.063 * [backup-simplify]: Simplify y into y 2.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.063 * [taylor]: Taking taylor expansion of y in x 2.063 * [backup-simplify]: Simplify y into y 2.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (* 1 1) into 1 2.064 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.064 * [taylor]: Taking taylor expansion of y in x 2.064 * [backup-simplify]: Simplify y into y 2.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (+ 0 1) into 1 2.065 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.065 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.065 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.067 * [taylor]: Taking taylor expansion of y in x 2.067 * [backup-simplify]: Simplify y into y 2.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [backup-simplify]: Simplify (+ 0 1) into 1 2.068 * [backup-simplify]: Simplify (* 1 1) into 1 2.068 * [backup-simplify]: Simplify (+ 1 0) into 1 2.068 * [backup-simplify]: Simplify (/ 1 1) into 1 2.068 * [taylor]: Taking taylor expansion of 1 in y 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.069 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.069 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.071 * [taylor]: Taking taylor expansion of 0 in y 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.075 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.075 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.075 * [taylor]: Taking taylor expansion of 2 in y 2.075 * [backup-simplify]: Simplify 2 into 2 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.083 * [taylor]: Taking taylor expansion of 0 in y 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (* (/ (- (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (/ (+ (/ 1 (- x)) (/ 1 (- y))) (exp (log (sqrt (+ (* (/ 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))))) 2.083 * [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 2.083 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.083 * [taylor]: Taking taylor expansion of -1 in y 2.083 * [backup-simplify]: Simplify -1 into -1 2.083 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.084 * [taylor]: Taking taylor expansion of x in y 2.084 * [backup-simplify]: Simplify x into x 2.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.084 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.084 * [taylor]: Taking taylor expansion of y in y 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.084 * [taylor]: Taking taylor expansion of x in y 2.084 * [backup-simplify]: Simplify x into x 2.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.084 * [taylor]: Taking taylor expansion of x in y 2.084 * [backup-simplify]: Simplify x into x 2.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.084 * [taylor]: Taking taylor expansion of y in y 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (* 1 1) into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.086 * [backup-simplify]: Simplify (* 1 1) into 1 2.086 * [backup-simplify]: Simplify (+ 0 1) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [backup-simplify]: Simplify -1 into -1 2.086 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.086 * [taylor]: Taking taylor expansion of y in x 2.086 * [backup-simplify]: Simplify y into y 2.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.087 * [taylor]: Taking taylor expansion of y in x 2.087 * [backup-simplify]: Simplify y into y 2.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.087 * [taylor]: Taking taylor expansion of y in x 2.088 * [backup-simplify]: Simplify y into y 2.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.088 * [backup-simplify]: Simplify (+ 0 1) into 1 2.088 * [backup-simplify]: Simplify (- 1) into -1 2.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.089 * [backup-simplify]: Simplify (* 1 -1) into -1 2.089 * [backup-simplify]: Simplify (+ 1 0) into 1 2.089 * [backup-simplify]: Simplify (/ -1 1) into -1 2.089 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.089 * [taylor]: Taking taylor expansion of -1 in x 2.089 * [backup-simplify]: Simplify -1 into -1 2.089 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.090 * [taylor]: Taking taylor expansion of y in x 2.090 * [backup-simplify]: Simplify y into y 2.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [backup-simplify]: Simplify y into y 2.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.091 * [backup-simplify]: Simplify (+ 0 1) into 1 2.091 * [backup-simplify]: Simplify (- 1) into -1 2.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.092 * [backup-simplify]: Simplify (* 1 -1) into -1 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.092 * [backup-simplify]: Simplify (/ -1 1) into -1 2.092 * [backup-simplify]: Simplify (* -1 -1) into 1 2.092 * [taylor]: Taking taylor expansion of 1 in y 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.094 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.096 * [taylor]: Taking taylor expansion of 0 in y 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (- 0) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.100 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 2.100 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 2.100 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.100 * [taylor]: Taking taylor expansion of 2 in y 2.100 * [backup-simplify]: Simplify 2 into 2 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.100 * [taylor]: Taking taylor expansion of y in y 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 2.109 * [taylor]: Taking taylor expansion of 0 in y 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * * * [progress]: simplifying candidates 2.116 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) 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(* h1 h1))) (/ (+ h0 h1) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (* (/ (- h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ h0 h1)) (* (- h0 h1) (/ (+ h0 h1) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) -1 1 1 2.126 * * [simplify]: iteration 0 : 668 enodes (cost 2282 ) 2.136 * * [simplify]: iteration 1 : 2538 enodes (cost 2093 ) 2.171 * * [simplify]: iteration 2 : 5002 enodes (cost 1996 ) 2.179 * * * [progress]: adding candidates to table 2.555 * [progress]: [Phase 3 of 3] Extracting. 2.556 * * [regime]: Finding splitpoints for: (# # # # # #) 2.557 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.557 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.596 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.624 * * * [regime]: Found split indices: #