11.449 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.021 * [simplify]: Sending expressions to egg_math: (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))) 0.023 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.024 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.026 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.028 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.031 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.037 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.046 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.080 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.122 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.131 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.131 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.131 * [taylor]: Taking taylor expansion of (+ x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (- x y) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ x 0) into x 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ x 0) into x 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.133 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.133 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.133 * [taylor]: Taking taylor expansion of (+ x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [taylor]: Taking taylor expansion of (- x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (+ 0 y) into y 0.133 * [backup-simplify]: Simplify (- y) into (- y) 0.133 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.133 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.133 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.133 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.133 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.133 * [taylor]: Taking taylor expansion of (+ x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [taylor]: Taking taylor expansion of (- x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (+ 0 y) into y 0.134 * [backup-simplify]: Simplify (- y) into (- y) 0.134 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.134 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.134 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.134 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.134 * [taylor]: Taking taylor expansion of -1 in y 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of 2 in y 0.138 * [backup-simplify]: Simplify 2 into 2 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.143 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.143 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (* -1 1) into -1 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify (/ -1 1) into -1 0.146 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.153 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.153 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.158 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.158 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of 2 in y 0.158 * [backup-simplify]: Simplify 2 into 2 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.167 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.167 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [backup-simplify]: Simplify -1 into -1 0.170 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (* 1 -1) into -1 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ -1 1) into -1 0.172 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [backup-simplify]: Simplify -1 into -1 0.173 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [backup-simplify]: Simplify y into y 0.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (* 1 -1) into -1 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (/ -1 1) into -1 0.176 * [backup-simplify]: Simplify (* -1 -1) into 1 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.177 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.183 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.183 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [backup-simplify]: Simplify 2 into 2 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.192 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.192 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [backup-simplify]: Simplify x into x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.193 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.202 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.202 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [backup-simplify]: Simplify x into x 0.202 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.202 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [backup-simplify]: Simplify y into y 0.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [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 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.213 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.214 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.223 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.224 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h1 h0)) (log (+ h1 h0))) (log (+ (* h1 h1) (* h0 h0)))) (- (log (* (- h1 h0) (+ h1 h0))) (log (+ (* h1 h1) (* h0 h0)))) (log (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (* (- h1 h0) (+ h1 h0)) (* (- h1 h0) (+ h1 h0))) (* (- h1 h0) (+ h1 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))) (* (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (* (* (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))) (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (- (* (- h1 h0) (+ h1 h0))) (- (+ (* h1 h1) (* h0 h0))) (/ (- h1 h0) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (+ h1 h0) (cbrt (+ (* h1 h1) (* h0 h0)))) (/ (- h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (+ h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (- h1 h0) 1) (/ (+ h1 h0) (+ (* h1 h1) (* h0 h0))) (/ 1 (+ (* h1 h1) (* h0 h0))) (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0))) (/ (* (- h1 h0) (+ h1 h0)) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (+ h1 h0)) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (+ h1 h0)) 1) (/ (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (/ (* (- h1 h0) (+ h1 h0)) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (/ (* (- h1 h0) (+ h1 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (* (+ (* h1 h1) (* h0 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (* (+ (* h1 h1) (* h0 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (* (+ (* h1 h1) (* h0 h0)) (* (+ h1 h0) (- h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (* h0 h0)) (- h1 h0)) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) -1 1 1 (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 0.228 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.235 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.264 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.265 * * * [progress]: adding candidates to table 0.575 * * [progress]: iteration 2 / 4 0.575 * * * [progress]: picking best candidate 0.580 * * * * [pick]: Picked # 0.580 * * * [progress]: localizing error 0.580 * * * [progress]: generating rewritten candidates 0.580 * * * [progress]: generating series expansions 0.580 * * * [progress]: simplifying candidates 0.580 * [simplify]: Simplifying: 0.581 * [simplify]: Sending expressions to egg_math: 0.582 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.582 * * * [progress]: adding candidates to table 0.583 * * [progress]: iteration 3 / 4 0.583 * * * [progress]: picking best candidate 0.587 * * * * [pick]: Picked # 0.587 * * * [progress]: localizing error 0.599 * * * [progress]: generating rewritten candidates 0.599 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.631 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.639 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.665 * * * [progress]: generating series expansions 0.665 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.665 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.665 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.665 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.665 * [taylor]: Taking taylor expansion of (+ x y) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (- x y) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [backup-simplify]: Simplify x into x 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 0.666 * [backup-simplify]: Simplify (+ x 0) into x 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ x 0) into x 0.666 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.666 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.666 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.666 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.666 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.666 * [taylor]: Taking taylor expansion of (+ x y) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [backup-simplify]: Simplify y into y 0.667 * [taylor]: Taking taylor expansion of (- x y) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [backup-simplify]: Simplify y into y 0.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [backup-simplify]: Simplify y into y 0.667 * [backup-simplify]: Simplify (+ 0 y) into y 0.667 * [backup-simplify]: Simplify (- y) into (- y) 0.667 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.667 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.667 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.667 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.667 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.667 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.667 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.667 * [taylor]: Taking taylor expansion of (+ x y) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [backup-simplify]: Simplify y into y 0.667 * [taylor]: Taking taylor expansion of (- x y) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [backup-simplify]: Simplify y into y 0.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [backup-simplify]: Simplify y into y 0.667 * [backup-simplify]: Simplify (+ 0 y) into y 0.667 * [backup-simplify]: Simplify (- y) into (- y) 0.667 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.667 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.668 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.668 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.668 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.668 * [taylor]: Taking taylor expansion of -1 in y 0.668 * [backup-simplify]: Simplify -1 into -1 0.668 * [backup-simplify]: Simplify -1 into -1 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 1 0) into 1 0.669 * [backup-simplify]: Simplify (+ 1 0) into 1 0.669 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.669 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.671 * [backup-simplify]: Simplify (* 1 1) into 1 0.671 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.671 * [backup-simplify]: Simplify (+ 1 0) into 1 0.671 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.671 * [taylor]: Taking taylor expansion of 2 in y 0.671 * [backup-simplify]: Simplify 2 into 2 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [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 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify -1 into -1 0.677 * [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)))) 0.677 * [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 0.677 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.677 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [backup-simplify]: Simplify x into x 0.677 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in 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 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [backup-simplify]: Simplify x into x 0.678 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [backup-simplify]: Simplify x into x 0.678 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.678 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) 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 1) into 1 0.679 * [backup-simplify]: Simplify (- 1) into -1 0.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.679 * [backup-simplify]: Simplify (+ 1 0) into 1 0.680 * [backup-simplify]: Simplify (* -1 1) into -1 0.680 * [backup-simplify]: Simplify (+ 0 1) into 1 0.680 * [backup-simplify]: Simplify (/ -1 1) into -1 0.680 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.680 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [backup-simplify]: Simplify y into y 0.680 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [backup-simplify]: Simplify y into y 0.681 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 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 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [backup-simplify]: Simplify y into y 0.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.682 * [backup-simplify]: Simplify (+ 1 0) into 1 0.682 * [backup-simplify]: Simplify (+ 0 1) into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [backup-simplify]: Simplify y into y 0.683 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [backup-simplify]: Simplify y into y 0.683 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [backup-simplify]: Simplify y into y 0.684 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.684 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.685 * [backup-simplify]: Simplify (+ 1 0) into 1 0.685 * [backup-simplify]: Simplify (+ 0 1) into 1 0.685 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (+ 1 0) into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of 1 in y 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.689 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.689 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.695 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.695 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of 2 in y 0.695 * [backup-simplify]: Simplify 2 into 2 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.695 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [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))))) 0.703 * [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 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.703 * [taylor]: Taking taylor expansion of -1 in y 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [backup-simplify]: Simplify x into x 0.704 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.704 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [backup-simplify]: Simplify x into x 0.704 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [backup-simplify]: Simplify x into x 0.704 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.704 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [backup-simplify]: Simplify (+ 1 0) into 1 0.705 * [backup-simplify]: Simplify (+ 1 0) into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ 0 1) into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [backup-simplify]: Simplify y into y 0.706 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [backup-simplify]: Simplify y into y 0.707 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [backup-simplify]: Simplify y into y 0.707 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.708 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.708 * [backup-simplify]: Simplify (+ 0 1) into 1 0.708 * [backup-simplify]: Simplify (- 1) into -1 0.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.709 * [backup-simplify]: Simplify (* 1 -1) into -1 0.709 * [backup-simplify]: Simplify (+ 1 0) into 1 0.709 * [backup-simplify]: Simplify (/ -1 1) into -1 0.709 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.709 * [taylor]: Taking taylor expansion of -1 in x 0.709 * [backup-simplify]: Simplify -1 into -1 0.709 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.709 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [backup-simplify]: Simplify y into y 0.709 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [backup-simplify]: Simplify y into y 0.710 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 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 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.710 * [taylor]: Taking taylor expansion of x in x 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 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [backup-simplify]: Simplify y into y 0.711 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.711 * [backup-simplify]: Simplify (+ 0 1) into 1 0.711 * [backup-simplify]: Simplify (- 1) into -1 0.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.712 * [backup-simplify]: Simplify (* 1 -1) into -1 0.712 * [backup-simplify]: Simplify (+ 1 0) into 1 0.712 * [backup-simplify]: Simplify (/ -1 1) into -1 0.712 * [backup-simplify]: Simplify (* -1 -1) into 1 0.712 * [taylor]: Taking taylor expansion of 1 in y 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.714 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.720 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.720 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.720 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.720 * [taylor]: Taking taylor expansion of 2 in y 0.720 * [backup-simplify]: Simplify 2 into 2 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) 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 0) (+ (* 0 0) (* 0 1))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.729 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.729 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [backup-simplify]: Simplify x into x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [backup-simplify]: Simplify y into y 0.730 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.730 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.730 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.731 * [taylor]: Taking taylor expansion of 1 in y 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.734 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.735 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.735 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [backup-simplify]: Simplify x into x 0.735 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.735 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 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 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 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.736 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [backup-simplify]: Simplify y into y 0.737 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.737 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.737 * [taylor]: Taking taylor expansion of 1 in y 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.745 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.745 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [backup-simplify]: Simplify x into x 0.746 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.747 * [backup-simplify]: Simplify y into y 0.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.747 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.747 * [backup-simplify]: Simplify y into y 0.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.748 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [taylor]: Taking taylor expansion of 1 in y 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.756 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.756 * [backup-simplify]: Simplify (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.756 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.756 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.756 * [taylor]: Taking taylor expansion of (+ x y) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [backup-simplify]: Simplify x into x 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of (- x y) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [backup-simplify]: Simplify x into x 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [backup-simplify]: Simplify x into x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (+ x 0) into x 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ x 0) into x 0.757 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.757 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.757 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.757 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.757 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.757 * [taylor]: Taking taylor expansion of (+ x y) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [backup-simplify]: Simplify y into y 0.757 * [taylor]: Taking taylor expansion of (- x y) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [backup-simplify]: Simplify y into y 0.757 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [backup-simplify]: Simplify (+ 0 y) into y 0.758 * [backup-simplify]: Simplify (- y) into (- y) 0.758 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.758 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.758 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.758 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.758 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.758 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.758 * [taylor]: Taking taylor expansion of (+ x y) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [taylor]: Taking taylor expansion of (- x y) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [backup-simplify]: Simplify (+ 0 y) into y 0.758 * [backup-simplify]: Simplify (- y) into (- y) 0.758 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.758 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.758 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.759 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.759 * [taylor]: Taking taylor expansion of -1 in y 0.759 * [backup-simplify]: Simplify -1 into -1 0.759 * [backup-simplify]: Simplify -1 into -1 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.759 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of 2 in y 0.762 * [backup-simplify]: Simplify 2 into 2 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.767 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [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 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify -1 into -1 0.768 * [backup-simplify]: Simplify (log (exp (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.768 * [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 0.768 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.768 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [backup-simplify]: Simplify x into x 0.768 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [backup-simplify]: Simplify x into x 0.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [backup-simplify]: Simplify x into x 0.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.769 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (- 1) into -1 0.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (* -1 1) into -1 0.771 * [backup-simplify]: Simplify (+ 0 1) into 1 0.771 * [backup-simplify]: Simplify (/ -1 1) into -1 0.771 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.771 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.772 * [backup-simplify]: Simplify y into y 0.772 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.773 * [backup-simplify]: Simplify (+ 1 0) into 1 0.773 * [backup-simplify]: Simplify (+ 0 1) into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.774 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [backup-simplify]: Simplify y into y 0.774 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [backup-simplify]: Simplify y into y 0.774 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (* 1 1) into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [backup-simplify]: Simplify y into y 0.775 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.775 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (+ 0 1) into 1 0.776 * [backup-simplify]: Simplify (* 1 1) into 1 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [taylor]: Taking taylor expansion of 1 in y 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.777 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.778 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.785 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.785 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.785 * [taylor]: Taking taylor expansion of 2 in y 0.785 * [backup-simplify]: Simplify 2 into 2 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (log (exp (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.794 * [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 0.794 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.794 * [taylor]: Taking taylor expansion of -1 in y 0.794 * [backup-simplify]: Simplify -1 into -1 0.794 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.794 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [backup-simplify]: Simplify x into x 0.794 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [backup-simplify]: Simplify x into x 0.795 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [backup-simplify]: Simplify x into x 0.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.795 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (+ 0 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [backup-simplify]: Simplify -1 into -1 0.797 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.797 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [backup-simplify]: Simplify y into y 0.797 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [backup-simplify]: Simplify y into y 0.797 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.798 * [backup-simplify]: Simplify (+ 0 1) into 1 0.799 * [backup-simplify]: Simplify (- 1) into -1 0.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.799 * [backup-simplify]: Simplify (* 1 -1) into -1 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.800 * [backup-simplify]: Simplify (/ -1 1) into -1 0.800 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [backup-simplify]: Simplify -1 into -1 0.800 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.800 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [backup-simplify]: Simplify y into y 0.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [backup-simplify]: Simplify y into y 0.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [backup-simplify]: Simplify y into y 0.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.801 * [backup-simplify]: Simplify (+ 0 1) into 1 0.802 * [backup-simplify]: Simplify (- 1) into -1 0.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.802 * [backup-simplify]: Simplify (* 1 -1) into -1 0.802 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (/ -1 1) into -1 0.803 * [backup-simplify]: Simplify (* -1 -1) into 1 0.803 * [taylor]: Taking taylor expansion of 1 in y 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.804 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (- 0) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.810 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.811 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.811 * [taylor]: Taking taylor expansion of 2 in y 0.811 * [backup-simplify]: Simplify 2 into 2 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (- 0) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * * * [progress]: simplifying candidates 0.821 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (log (* (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log 1) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (log (exp (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (exp (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (log (exp (/ (- x y) (sqrt (+ (* x x) (* y y)))))) (log (exp (/ (- x y) 1))) (log (exp 1)) (log (exp (* (- x y) (+ x y)))) (log (exp (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))))) (log (exp (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (log (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (exp (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (* (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))) (cbrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (* (* (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) -1 1 1 0.822 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h1 h0)) (log (+ h1 h0))) (log (+ (* h1 h1) (* h0 h0)))) (- (log (* (- h1 h0) (+ h1 h0))) (log (+ (* h1 h1) (* h0 h0)))) (log (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (* (- h1 h0) (+ h1 h0)) (* (- h1 h0) (+ h1 h0))) (* (- h1 h0) (+ h1 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))) (* (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (* (* (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))) (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (- (* (- h1 h0) (+ h1 h0))) (- (+ (* h1 h1) (* h0 h0))) (/ (- h1 h0) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (+ h1 h0) (cbrt (+ (* h1 h1) (* h0 h0)))) (/ (- h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (+ h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (- h1 h0) 1) (/ (+ h1 h0) (+ (* h1 h1) (* h0 h0))) (/ 1 (+ (* h1 h1) (* h0 h0))) (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0))) (/ (* (- h1 h0) (+ h1 h0)) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (+ h1 h0)) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (+ h1 h0)) 1) (/ (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (/ (* (- h1 h0) (+ h1 h0)) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (/ (* (- h1 h0) (+ h1 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (* (+ (* h1 h1) (* h0 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (* (+ (* h1 h1) (* h0 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (* (+ (* h1 h1) (* h0 h0)) (* (+ h1 h0) (- h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (* h0 h0)) (- h1 h0)) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) (log (* (cbrt (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (cbrt (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))))) (log (cbrt (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (log (sqrt (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (log (sqrt (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (log 1) (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (log (exp (* (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))))) (log (exp (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (log (exp (/ (- h1 h0) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) (log (exp (/ (- h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))))) (log (exp (/ (- h1 h0) 1))) (log (exp 1)) (log (exp (* (- h1 h0) (+ h1 h0)))) (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (log (exp (/ (* (- h1 h0) (+ h1 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (log (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (exp (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (* (cbrt (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (cbrt (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))))) (cbrt (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (* (* (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (sqrt (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) (sqrt (log (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))))) -1 1 1 (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) -1 1 1 0.826 * * [simplify]: iteration 0 : 348 enodes (cost 599 ) 0.833 * * [simplify]: iteration 1 : 1931 enodes (cost 516 ) 0.863 * * [simplify]: iteration 2 : 5001 enodes (cost 501 ) 0.866 * * * [progress]: adding candidates to table 1.037 * * [progress]: iteration 4 / 4 1.037 * * * [progress]: picking best candidate 1.039 * * * * [pick]: Picked # 1.039 * * * [progress]: localizing error 1.049 * * * [progress]: generating rewritten candidates 1.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.121 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.159 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.170 * * * [progress]: generating series expansions 1.170 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.170 * [backup-simplify]: Simplify (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 1.170 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.170 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 1.170 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.170 * [backup-simplify]: Simplify x into x 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.171 * [taylor]: Taking taylor expansion of x in y 1.171 * [backup-simplify]: Simplify x into x 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.171 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.171 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.171 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.171 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 1.171 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.171 * [taylor]: Taking taylor expansion of y in x 1.171 * [backup-simplify]: Simplify y into y 1.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.171 * [taylor]: Taking taylor expansion of y in x 1.171 * [backup-simplify]: Simplify y into y 1.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.171 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.171 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.172 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.172 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 1.172 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 1.172 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.172 * [backup-simplify]: Simplify y into y 1.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.172 * [backup-simplify]: Simplify y into y 1.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.172 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.172 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.172 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.172 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 1.173 * [taylor]: Taking taylor expansion of -1 in y 1.173 * [backup-simplify]: Simplify -1 into -1 1.173 * [backup-simplify]: Simplify -1 into -1 1.173 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.173 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 1.174 * [taylor]: Taking taylor expansion of 0 in y 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (* 1 1) into 1 1.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 1 0) into 1 1.175 * [backup-simplify]: Simplify (* 1 1) into 1 1.175 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.176 * [backup-simplify]: Simplify (+ 1 0) into 1 1.176 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 1.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.176 * [taylor]: Taking taylor expansion of 2 in y 1.176 * [backup-simplify]: Simplify 2 into 2 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.176 * [taylor]: Taking taylor expansion of y in y 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (* 1 1) into 1 1.179 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.182 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.182 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.184 * [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 1.184 * [taylor]: Taking taylor expansion of 0 in y 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify -1 into -1 1.184 * [backup-simplify]: Simplify (/ (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.184 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.184 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.184 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.184 * [taylor]: Taking taylor expansion of x in y 1.184 * [backup-simplify]: Simplify x into x 1.184 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.185 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [backup-simplify]: Simplify (* 1 1) into 1 1.185 * [backup-simplify]: Simplify (/ 1 1) into 1 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.186 * [taylor]: Taking taylor expansion of x in y 1.186 * [backup-simplify]: Simplify x into x 1.186 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.186 * [taylor]: Taking taylor expansion of y in y 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (* 1 1) into 1 1.186 * [backup-simplify]: Simplify (/ 1 1) into 1 1.186 * [backup-simplify]: Simplify (- 1) into -1 1.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.187 * [backup-simplify]: Simplify (+ 0 1) into 1 1.187 * [backup-simplify]: Simplify (/ -1 1) into -1 1.187 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (* 1 1) into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.188 * [backup-simplify]: Simplify y into y 1.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (* 1 1) into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.189 * [backup-simplify]: Simplify y into y 1.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.189 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.189 * [backup-simplify]: Simplify (+ 1 0) into 1 1.189 * [backup-simplify]: Simplify (+ 1 0) into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (* 1 1) into 1 1.190 * [backup-simplify]: Simplify (/ 1 1) into 1 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [backup-simplify]: Simplify y into y 1.190 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (* 1 1) into 1 1.191 * [backup-simplify]: Simplify (/ 1 1) into 1 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.191 * [backup-simplify]: Simplify y into y 1.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.191 * [backup-simplify]: Simplify (+ 1 0) into 1 1.191 * [backup-simplify]: Simplify (+ 1 0) into 1 1.192 * [backup-simplify]: Simplify (/ 1 1) into 1 1.192 * [taylor]: Taking taylor expansion of 1 in y 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.194 * [taylor]: Taking taylor expansion of 0 in y 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.195 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.196 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.197 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.197 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.197 * [taylor]: Taking taylor expansion of 2 in y 1.197 * [backup-simplify]: Simplify 2 into 2 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (* 1 1) into 1 1.198 * [backup-simplify]: Simplify (/ 1 1) into 1 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.204 * [taylor]: Taking taylor expansion of 0 in y 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (/ (* (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.205 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.205 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.205 * [taylor]: Taking taylor expansion of x in y 1.205 * [backup-simplify]: Simplify x into x 1.205 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (* 1 1) into 1 1.206 * [backup-simplify]: Simplify (/ 1 1) into 1 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [backup-simplify]: Simplify x into x 1.206 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (* 1 1) into 1 1.206 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [backup-simplify]: Simplify (- 1) into -1 1.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.207 * [backup-simplify]: Simplify (+ 0 1) into 1 1.207 * [backup-simplify]: Simplify (/ -1 1) into -1 1.207 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (* 1 1) into 1 1.208 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.208 * [taylor]: Taking taylor expansion of y in x 1.208 * [backup-simplify]: Simplify y into y 1.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (* 1 1) into 1 1.209 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.209 * [backup-simplify]: Simplify y into y 1.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.209 * [backup-simplify]: Simplify (+ 1 0) into 1 1.209 * [backup-simplify]: Simplify (+ 1 0) into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.210 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (* 1 1) into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [backup-simplify]: Simplify y into y 1.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.211 * [backup-simplify]: Simplify (/ 1 1) into 1 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [backup-simplify]: Simplify y into y 1.211 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.211 * [backup-simplify]: Simplify (+ 1 0) into 1 1.212 * [backup-simplify]: Simplify (+ 1 0) into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [taylor]: Taking taylor expansion of 1 in y 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.216 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.217 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.217 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.217 * [taylor]: Taking taylor expansion of 2 in y 1.217 * [backup-simplify]: Simplify 2 into 2 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* 1 1) into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.225 * [backup-simplify]: Simplify (* (+ (* x x) (* y y)) (+ x y)) into (* (+ (pow x 2) (pow y 2)) (+ x y)) 1.225 * [approximate]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 1.225 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in y 1.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.225 * [backup-simplify]: Simplify x into x 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [taylor]: Taking taylor expansion of (+ x y) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.225 * [backup-simplify]: Simplify x into x 1.225 * [taylor]: Taking taylor expansion of y in y 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [backup-simplify]: Simplify y into y 1.225 * [taylor]: Taking taylor expansion of (+ x y) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [backup-simplify]: Simplify y into y 1.226 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [backup-simplify]: Simplify y into y 1.226 * [taylor]: Taking taylor expansion of (+ x y) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [backup-simplify]: Simplify y into y 1.226 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.226 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.226 * [backup-simplify]: Simplify (+ 0 y) into y 1.226 * [backup-simplify]: Simplify (* (pow y 2) y) into (pow y 3) 1.226 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (+ 1 0) into 1 1.226 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (* 0 y)) into (pow y 2) 1.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (* 1 1) into 1 1.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.228 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (* 1 y))) into y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (* 0 y)))) into 1 1.230 * [taylor]: Taking taylor expansion of 1 in y 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (+ (* 1 (* (pow y 2) x)) (+ (* 1 (* y (pow x 2))) (* 1 (pow (* 1 x) 3)))) into (+ (* x (pow y 2)) (+ (* (pow x 2) y) (pow x 3))) 1.231 * [backup-simplify]: Simplify (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) into (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.231 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.231 * [taylor]: Taking taylor expansion of x in y 1.231 * [backup-simplify]: Simplify x into x 1.231 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.231 * [taylor]: Taking taylor expansion of x in y 1.231 * [backup-simplify]: Simplify x into x 1.232 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (* 1 1) into 1 1.232 * [backup-simplify]: Simplify (/ 1 1) into 1 1.232 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.232 * [backup-simplify]: Simplify y into y 1.232 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (* 1 1) into 1 1.233 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.233 * [backup-simplify]: Simplify y into y 1.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.233 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.233 * [backup-simplify]: Simplify y into y 1.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify (/ 1 1) into 1 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify (* 1 1) into 1 1.234 * [backup-simplify]: Simplify (/ 1 1) into 1 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [backup-simplify]: Simplify y into y 1.234 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.234 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.235 * [backup-simplify]: Simplify (+ 0 1) into 1 1.235 * [backup-simplify]: Simplify (+ 1 0) into 1 1.235 * [backup-simplify]: Simplify (* 1 1) into 1 1.235 * [taylor]: Taking taylor expansion of 1 in y 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 1.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (/ 1 (pow y 2)) 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.240 * [taylor]: Taking taylor expansion of y in y 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (* 1 1) into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y 3)) 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.244 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (* 1 1) into 1 1.244 * [backup-simplify]: Simplify (* 1 1) into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) (+ (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 3)))) into (+ (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) 1.245 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1.245 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 1.245 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.245 * [taylor]: Taking taylor expansion of -1 in y 1.245 * [backup-simplify]: Simplify -1 into -1 1.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ 1 1) into 1 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.246 * [taylor]: Taking taylor expansion of x in y 1.246 * [backup-simplify]: Simplify x into x 1.246 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.246 * [taylor]: Taking taylor expansion of x in y 1.246 * [backup-simplify]: Simplify x into x 1.246 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.246 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.247 * [backup-simplify]: Simplify (/ 1 1) into 1 1.247 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [backup-simplify]: Simplify -1 into -1 1.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.247 * [backup-simplify]: Simplify y into y 1.247 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (/ 1 1) into 1 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (* 1 1) into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [backup-simplify]: Simplify y into y 1.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.248 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.248 * [taylor]: Taking taylor expansion of -1 in x 1.248 * [backup-simplify]: Simplify -1 into -1 1.248 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [backup-simplify]: Simplify y into y 1.248 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.249 * [taylor]: Taking taylor expansion of y in x 1.249 * [backup-simplify]: Simplify y into y 1.249 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.249 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.249 * [backup-simplify]: Simplify (+ 0 1) into 1 1.249 * [backup-simplify]: Simplify (+ 1 0) into 1 1.250 * [backup-simplify]: Simplify (* 1 1) into 1 1.250 * [backup-simplify]: Simplify (* -1 1) into -1 1.250 * [taylor]: Taking taylor expansion of -1 in y 1.250 * [backup-simplify]: Simplify -1 into -1 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.252 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 1.252 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 1.252 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (/ 1 (pow y 2)) 1.255 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (* 1 1) into 1 1.256 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y 3)) 1.259 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 3))) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 1.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.259 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (/ 1 1) into 1 1.260 * [backup-simplify]: Simplify (- 1) into -1 1.260 * [backup-simplify]: Simplify -1 into -1 1.260 * [backup-simplify]: Simplify (- 1) into -1 1.260 * [backup-simplify]: Simplify -1 into -1 1.261 * [backup-simplify]: Simplify (- 1) into -1 1.261 * [backup-simplify]: Simplify -1 into -1 1.261 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) (+ (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 3)))) into (+ (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) 1.261 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.261 * [backup-simplify]: Simplify (* (- (* x x) (* y y)) (+ x y)) into (* (- (pow x 2) (pow y 2)) (+ x y)) 1.261 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 1.261 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 1.261 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [backup-simplify]: Simplify x into x 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of (+ x y) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [backup-simplify]: Simplify x into x 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 1.262 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [backup-simplify]: Simplify y into y 1.262 * [taylor]: Taking taylor expansion of (+ x y) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [backup-simplify]: Simplify y into y 1.262 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 1.262 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [backup-simplify]: Simplify y into y 1.262 * [taylor]: Taking taylor expansion of (+ x y) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [backup-simplify]: Simplify y into y 1.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.262 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.262 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.262 * [backup-simplify]: Simplify (+ 0 y) into y 1.262 * [backup-simplify]: Simplify (* (- (pow y 2)) y) into (* -1 (pow y 3)) 1.262 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 1.262 * [taylor]: Taking taylor expansion of -1 in y 1.263 * [backup-simplify]: Simplify -1 into -1 1.263 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (+ 1 0) into 1 1.263 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.263 * [backup-simplify]: Simplify (- 0) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (* 0 y)) into (- (pow y 2)) 1.264 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (* 1 1) into 1 1.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.265 * [backup-simplify]: Simplify (+ 1 0) into 1 1.265 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 1) (* 1 y))) into y 1.265 * [taylor]: Taking taylor expansion of y in y 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.266 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 0) (+ (* 1 1) (* 0 y)))) into 1 1.267 * [taylor]: Taking taylor expansion of 1 in y 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* 1 1) into 1 1.268 * [backup-simplify]: Simplify (- 1) into -1 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [backup-simplify]: Simplify (+ (* -1 (* (pow y 2) x)) (+ (* 1 (* y (pow x 2))) (* 1 (pow (* 1 x) 3)))) into (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) 1.268 * [backup-simplify]: Simplify (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) into (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) 1.268 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.268 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.268 * [taylor]: Taking taylor expansion of x in y 1.268 * [backup-simplify]: Simplify x into x 1.269 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.269 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.269 * [taylor]: Taking taylor expansion of x in y 1.269 * [backup-simplify]: Simplify x into x 1.270 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.270 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (* 1 1) into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.270 * [taylor]: Taking taylor expansion of y in x 1.270 * [backup-simplify]: Simplify y into y 1.270 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.270 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.270 * [taylor]: Taking taylor expansion of y in x 1.270 * [backup-simplify]: Simplify y into y 1.270 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (/ 1 1) into 1 1.271 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (* 1 1) into 1 1.271 * [backup-simplify]: Simplify (/ 1 1) into 1 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.271 * [taylor]: Taking taylor expansion of y in x 1.271 * [backup-simplify]: Simplify y into y 1.271 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.271 * [taylor]: Taking taylor expansion of y in x 1.271 * [backup-simplify]: Simplify y into y 1.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (/ 1 1) into 1 1.272 * [backup-simplify]: Simplify (+ 1 0) into 1 1.272 * [backup-simplify]: Simplify (+ 0 1) into 1 1.273 * [backup-simplify]: Simplify (* 1 1) into 1 1.273 * [taylor]: Taking taylor expansion of 1 in y 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 1.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.279 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) 1))) into (- (/ 1 (pow y 2))) 1.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (* 1 1) into 1 1.280 * [backup-simplify]: Simplify (/ 1 1) into 1 1.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 1.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.284 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (* 1 1) into 1 1.284 * [backup-simplify]: Simplify (* 1 1) into 1 1.284 * [backup-simplify]: Simplify (/ 1 1) into 1 1.284 * [backup-simplify]: Simplify (- 1) into -1 1.284 * [backup-simplify]: Simplify -1 into -1 1.285 * [backup-simplify]: Simplify (- 1) into -1 1.285 * [backup-simplify]: Simplify -1 into -1 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) (+ (* -1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 3)))) into (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) 1.285 * [backup-simplify]: Simplify (* (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) 1.285 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.286 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 1.286 * [taylor]: Taking taylor expansion of -1 in y 1.286 * [backup-simplify]: Simplify -1 into -1 1.286 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.286 * [taylor]: Taking taylor expansion of x in y 1.286 * [backup-simplify]: Simplify x into x 1.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.286 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (* 1 1) into 1 1.287 * [backup-simplify]: Simplify (/ 1 1) into 1 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (/ 1 1) into 1 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.287 * [taylor]: Taking taylor expansion of x in y 1.287 * [backup-simplify]: Simplify x into x 1.287 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.287 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.287 * [taylor]: Taking taylor expansion of -1 in x 1.287 * [backup-simplify]: Simplify -1 into -1 1.287 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (* 1 1) into 1 1.288 * [backup-simplify]: Simplify (/ 1 1) into 1 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [backup-simplify]: Simplify y into y 1.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [backup-simplify]: Simplify y into y 1.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (/ 1 1) into 1 1.288 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.288 * [taylor]: Taking taylor expansion of -1 in x 1.288 * [backup-simplify]: Simplify -1 into -1 1.288 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (* 1 1) into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.289 * [taylor]: Taking taylor expansion of y in x 1.289 * [backup-simplify]: Simplify y into y 1.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.289 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.289 * [taylor]: Taking taylor expansion of y in x 1.289 * [backup-simplify]: Simplify y into y 1.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.290 * [backup-simplify]: Simplify (+ 1 0) into 1 1.290 * [backup-simplify]: Simplify (+ 0 1) into 1 1.290 * [backup-simplify]: Simplify (* 1 1) into 1 1.290 * [backup-simplify]: Simplify (* -1 1) into -1 1.290 * [taylor]: Taking taylor expansion of -1 in y 1.290 * [backup-simplify]: Simplify -1 into -1 1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 1.292 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 1.292 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (/ 1 1) into 1 1.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.295 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) 1))) into (- (/ 1 (pow y 2))) 1.296 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.296 * [backup-simplify]: Simplify (/ 1 1) into 1 1.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 1.300 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 3)))) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1)))) into (/ 1 (pow y 3)) 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.300 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (* 1 1) into 1 1.301 * [backup-simplify]: Simplify (* 1 1) into 1 1.301 * [backup-simplify]: Simplify (/ 1 1) into 1 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (- 1) into -1 1.301 * [backup-simplify]: Simplify -1 into -1 1.302 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) (+ (* 1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 3)))) into (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) 1.302 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.302 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.302 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [backup-simplify]: Simplify x into x 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.302 * [taylor]: Taking taylor expansion of y in x 1.302 * [backup-simplify]: Simplify y into y 1.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.302 * [taylor]: Taking taylor expansion of y in x 1.302 * [backup-simplify]: Simplify y into y 1.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.302 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [taylor]: Taking taylor expansion of 0 in y 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.303 * [backup-simplify]: Simplify (+ 1 0) into 1 1.304 * [taylor]: Taking taylor expansion of 1 in y 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [taylor]: Taking taylor expansion of 0 in y 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.307 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.307 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.307 * [taylor]: Taking taylor expansion of x in y 1.308 * [backup-simplify]: Simplify x into x 1.308 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.308 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.309 * [backup-simplify]: Simplify y into y 1.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.310 * [taylor]: Taking taylor expansion of y in x 1.310 * [backup-simplify]: Simplify y into y 1.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.310 * [backup-simplify]: Simplify (+ 1 0) into 1 1.310 * [taylor]: Taking taylor expansion of 1 in y 1.310 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [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 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [taylor]: Taking taylor expansion of 0 in y 1.314 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.317 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.319 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.319 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [backup-simplify]: Simplify x into x 1.319 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.320 * [backup-simplify]: Simplify y into y 1.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.321 * [backup-simplify]: Simplify y into y 1.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.321 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.321 * [backup-simplify]: Simplify (+ 1 0) into 1 1.321 * [taylor]: Taking taylor expansion of 1 in y 1.321 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [taylor]: Taking taylor expansion of 0 in y 1.322 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [taylor]: Taking taylor expansion of 0 in y 1.325 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [taylor]: Taking taylor expansion of 0 in y 1.328 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.330 * * * [progress]: simplifying candidates 1.331 * [simplify]: Simplifying: (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (+ (log (+ (* x x) (* y y))) (log (+ x y)))) (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (+ (* x x) (* y y)) (+ x y)))) (- (log (* (- (* x x) (* y y)) (+ x y))) (+ (log (+ (* x x) (* y y))) (log (+ x y)))) (- (log (* (- (* x x) (* y y)) (+ x y))) (log (* (+ (* x x) (* y y)) (+ x y)))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))) (/ (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y 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 x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) (* (+ (* x x) (* y y)) (+ x y)))) (/ (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ 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(- (* x x) (* y y)) (+ x y)) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y))) (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y))))) (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* 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)) (* (+ (* x x) (* y 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 y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (+ (log (+ (* x x) (* y y))) (log (+ x y))) (log (* (+ (* x x) (* y y)) (+ x y))) (exp (* (+ (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ (* x x) (* y y)) (+ x y))) (cbrt (* (+ (* x x) (* y y)) (+ x y)))) (cbrt (* (+ (* x x) (* y y)) (+ x y))) (* (* (* (+ (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y))) (* (+ (* x x) (* y y)) (+ x y))) (sqrt (* (+ (* x x) (* y y)) (+ x y))) (sqrt (* (+ (* x x) (* y y)) (+ x y))) (* (+ (pow 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y)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (* (- (* x x) (* y y)) 1) (* (- (* x x) (* y y)) 1) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (* (- x y) (+ x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (* x (pow y 2)) (+ (* (pow x 2) y) (pow x 3))) (+ (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) (+ (* x (pow y 2)) (+ (* (pow x 2) y) (pow y 3))) (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.332 * [simplify]: Sending expressions to egg_math: (- (+ (log (- (* h1 h1) (* h0 h0))) (log (+ h1 h0))) (+ (log (+ (* h1 h1) (* h0 h0))) (log (+ h1 h0)))) (- (+ (log (- (* h1 h1) (* h0 h0))) (log (+ h1 h0))) (log (* (+ 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(- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ h1 h0)) (* (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (+ h1 h0)) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) -1 1 1 (+ (* h1 (pow h0 2)) (+ (* (pow h1 2) h0) (pow h1 3))) (+ (* h1 (pow h0 2)) (+ (* (pow h1 2) h0) (pow h0 3))) (+ (* h1 (pow h0 2)) (+ (* (pow h1 2) h0) (pow h0 3))) (- (+ (* (pow h1 2) h0) (pow h1 3)) (* h1 (pow h0 2))) (- (* (pow h1 2) h0) (+ (* h1 (pow h0 2)) (pow h0 3))) (- (* (pow h1 2) h0) (+ (* h1 (pow h0 2)) (pow h0 3))) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 1.339 * * [simplify]: iteration 0 : 619 enodes (cost 1228 ) 1.354 * * [simplify]: iteration 1 : 4369 enodes (cost 983 ) 1.451 * * [simplify]: iteration 2 : 5003 enodes (cost 973 ) 1.455 * * * [progress]: adding candidates to table 1.705 * [progress]: [Phase 3 of 3] Extracting. 1.705 * * [regime]: Finding splitpoints for: (# # # #) 1.706 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 1.706 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 1.721 * * * * [regimes]: Trying to branch on y from (# # # #) 1.757 * * * * [regimes]: Trying to branch on x from (# # # #) 1.783 * * * [regime]: Found split indices: #