2.921 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (* (+ x y) (- x y)) 0.019 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) 0.022 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 130 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 205 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 295 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 446 enodes (cost 3 ) 0.042 * * [simplify]: iteration 7 : 1317 enodes (cost 3 ) 0.080 * * [simplify]: iteration 8 : 5002 enodes (cost 3 ) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.125 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 0.125 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.125 * [taylor]: Taking taylor expansion of (+ x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of (- x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.125 * [taylor]: Taking taylor expansion of (+ x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of (- x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.125 * [taylor]: Taking taylor expansion of (+ x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of (- x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (+ 0 y) into y 0.126 * [backup-simplify]: Simplify (- y) into (- y) 0.126 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.126 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.126 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (* -1 1) into -1 0.129 * [backup-simplify]: Simplify -1 into -1 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.133 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.133 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [backup-simplify]: Simplify x into x 0.133 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.134 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.137 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.137 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (- 1) into -1 0.141 * [backup-simplify]: Simplify -1 into -1 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) 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 (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.149 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.149 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.149 * [taylor]: Taking taylor expansion of -1 in y 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [backup-simplify]: Simplify x into x 0.149 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.150 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [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 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (- 1) into -1 0.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.152 * [backup-simplify]: Simplify (* 1 -1) into -1 0.152 * [backup-simplify]: Simplify (* -1 -1) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.154 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.154 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 (- (+ (* (/ 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) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.157 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (- 1) into -1 0.158 * [backup-simplify]: Simplify -1 into -1 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.170 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying: (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x 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 y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.170 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) (+ (log (+ h0 h1)) (log (- h0 h1))) (log (* (+ h0 h1) (- h0 h1))) (exp (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* (+ h0 h1) (- h0 h1))) (cbrt (* (+ h0 h1) (- h0 h1)))) (cbrt (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* (+ h0 h1) (sqrt (- h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ (sqrt h0) (sqrt h1))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (- h0 h1)) (* (sqrt (+ h0 h1)) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.174 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.178 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.199 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.200 * * * [progress]: adding candidates to table 0.254 * * [progress]: iteration 2 / 4 0.254 * * * [progress]: picking best candidate 0.255 * * * * [pick]: Picked # 0.255 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.280 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.294 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.322 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 0.322 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [taylor]: Taking taylor expansion of (+ x y) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (+ x y) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (+ x y) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [backup-simplify]: Simplify (+ 0 y) into y 0.322 * [backup-simplify]: Simplify (* 0 y) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.324 * [taylor]: Taking taylor expansion of 1 in y 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 0.327 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.327 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [backup-simplify]: Simplify x into x 0.327 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [backup-simplify]: Simplify x into x 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [backup-simplify]: Simplify y into y 0.327 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [backup-simplify]: Simplify y into y 0.328 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (+ 0 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.330 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 0.337 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.337 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.338 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [backup-simplify]: Simplify y into y 0.338 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (+ 0 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [backup-simplify]: Simplify y into y 0.339 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (+ 0 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.341 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 0.348 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.348 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* (- y) (+ x y))) into (- (pow x 2) (pow y 2)) 0.348 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [backup-simplify]: Simplify x into x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.349 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.349 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.349 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.351 * [backup-simplify]: Simplify -1 into -1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.355 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (- (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.355 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [backup-simplify]: Simplify x into x 0.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.356 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [backup-simplify]: Simplify y into y 0.357 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [backup-simplify]: Simplify y into y 0.357 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.358 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [taylor]: Taking taylor expansion of 1 in y 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.360 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.367 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (- (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.367 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [backup-simplify]: Simplify x into x 0.368 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [backup-simplify]: Simplify y into y 0.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [backup-simplify]: Simplify y into y 0.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.372 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify -1 into -1 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.382 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.382 * [backup-simplify]: Simplify (* (- y) (+ x y)) into (* -1 (* y (+ x y))) 0.382 * [approximate]: Taking taylor expansion of (* -1 (* y (+ x y))) in (y x) around 0 0.382 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [backup-simplify]: Simplify y into y 0.382 * [taylor]: Taking taylor expansion of (+ x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [backup-simplify]: Simplify y into y 0.382 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (+ x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [backup-simplify]: Simplify x into x 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (+ x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [backup-simplify]: Simplify x into x 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (+ x 0) into x 0.382 * [backup-simplify]: Simplify (* 0 x) into 0 0.383 * [backup-simplify]: Simplify (* -1 0) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 0.383 * [backup-simplify]: Simplify (+ (* -1 x) (* 0 0)) into (- x) 0.383 * [taylor]: Taking taylor expansion of (- x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 0.385 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 x) (* 0 0))) into (- 1) 0.385 * [taylor]: Taking taylor expansion of (- 1) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (- 1) into -1 0.385 * [backup-simplify]: Simplify -1 into -1 0.385 * [backup-simplify]: Simplify (- 1) into -1 0.385 * [backup-simplify]: Simplify -1 into -1 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 x) (* 0 0)))) into 0 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 x) (* 0 0))))) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* -1 (* x y)) (* -1 (pow (* 1 y) 2))) into (- (+ (pow y 2) (* x y))) 0.390 * [backup-simplify]: Simplify (* (- (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) 0.390 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.390 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [backup-simplify]: Simplify y into y 0.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [backup-simplify]: Simplify y into y 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.391 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.391 * [taylor]: Taking taylor expansion of -1 in y 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [backup-simplify]: Simplify x into x 0.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.392 * [taylor]: Taking taylor expansion of -1 in y 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [backup-simplify]: Simplify x into x 0.392 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (* -1 1) into -1 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [backup-simplify]: Simplify -1 into -1 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.394 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.394 * [backup-simplify]: Simplify (+ (* -1 (/ 1 x)) (* 0 1)) into (- (/ 1 x)) 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [backup-simplify]: Simplify (- 1) into -1 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* -1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (- (+ (pow y 2) (* x y))) 0.404 * [backup-simplify]: Simplify (* (- (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) 0.404 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.404 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [backup-simplify]: Simplify y into y 0.404 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [backup-simplify]: Simplify y into y 0.405 * [backup-simplify]: Simplify (+ 0 1) into 1 0.405 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.405 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.405 * [taylor]: Taking taylor expansion of -1 in y 0.405 * [backup-simplify]: Simplify -1 into -1 0.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [backup-simplify]: Simplify x into x 0.406 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.406 * [taylor]: Taking taylor expansion of -1 in y 0.406 * [backup-simplify]: Simplify -1 into -1 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [backup-simplify]: Simplify x into x 0.407 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (+ 1 0) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (* -1 1) into -1 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [backup-simplify]: Simplify -1 into -1 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.408 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.408 * [backup-simplify]: Simplify (+ (* -1 (/ 1 x)) (* 0 1)) into (- (/ 1 x)) 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (- 1) into -1 0.409 * [backup-simplify]: Simplify -1 into -1 0.409 * [backup-simplify]: Simplify -1 into -1 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 0.414 * [taylor]: Taking taylor expansion of 0 in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* -1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (- (+ (pow y 2) (* x y))) 0.419 * * * [progress]: simplifying candidates 0.420 * [simplify]: Simplifying: (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* (- y) (+ x y)))) (log (+ (* x (+ x y)) (* (- y) (+ x y)))) (exp (+ (* x (+ x y)) (* (- 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)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (- y) (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (- y) (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (- y) (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (- y) (+ x y)) (* (- y) (+ x y))) (* (* x (+ x y)) (* (- y) (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (- y) (+ x y)) (* (- y) (+ x y)))) (- (* x (+ x y)) (* (- y) (+ x y))) (+ x (- y)) (+ (* x (+ x y)) (* (- y) x)) (+ (* x (+ x y)) (* x (- y))) (+ (* x y) (* (- y) (+ x y))) (+ (* y x) (* (- y) (+ x y))) (* (- y) (+ x y)) (+ (log (- y)) (log (+ x y))) (log (* (- y) (+ x y))) (exp (* (- y) (+ x y))) (* (* (* (- y) (- y)) (- y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- y) (+ x y))) (cbrt (* (- y) (+ x y)))) (cbrt (* (- y) (+ x y))) (* (* (* (- y) (+ x y)) (* (- y) (+ x y))) (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* y (+ x y)) (* (- y) x) (* (- y) y) (* x (- y)) (* y (- y)) (* (- y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- y) (sqrt (+ x y))) (* (- y) 1) (* (- y) 1) (* (cbrt (- y)) (+ x y)) (* (sqrt (- y)) (+ x y)) (* (- y) (+ x y)) (* y (+ x y)) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* (- (cbrt y)) (+ x y)) (* (- (sqrt y)) (+ x y)) (* (- y) (+ x y)) (* (- y) (+ (pow x 3) (pow y 3))) (* (- y) (- (* x x) (* y y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (+ (pow y 2) (* x y))) (- (+ (pow y 2) (* x y))) (- (+ (pow y 2) (* x y))) 0.420 * [simplify]: Sending expressions to egg_math: (* h0 (+ h0 h1)) (+ (log h0) (log (+ h0 h1))) (log (* h0 (+ h0 h1))) (exp (* h0 (+ h0 h1))) (* (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* h0 (+ h0 h1))) (cbrt (* h0 (+ h0 h1)))) (cbrt (* h0 (+ h0 h1))) (* (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (* h0 (+ h0 h1))) (sqrt (* h0 (+ h0 h1))) (sqrt (* h0 (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* h0 h0) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* h0 (sqrt (+ h0 h1))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h0 h1)) (* (sqrt h0) (+ h0 h1)) (* h0 (+ h0 h1)) (* h0 (+ (pow h0 3) (pow h1 3))) (* h0 (- (* h0 h0) (* h1 h1))) (* (exp (* h0 (+ h0 h1))) (exp (* (- h1) (+ h0 h1)))) (log (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (exp (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (* (cbrt (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (cbrt (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1))))) (cbrt (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (* (* (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1))) (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (sqrt (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (sqrt (+ (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)))) (+ (* (* h0 (+ (pow h0 3) (pow h1 3))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (* (- h1) (+ (pow h0 3) (pow h1 3))))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (+ (* (* h0 (+ (pow h0 3) (pow h1 3))) (- h0 h1)) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (* (- h1) (- (* h0 h0) (* h1 h1))))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (- h0 h1)) (+ (* (* h0 (- (* h0 h0) (* h1 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (* (- h1) (+ (pow h0 3) (pow h1 3))))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (+ (* (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1)) (* (- h0 h1) (* (- h1) (- (* h0 h0) (* h1 h1))))) (* (- h0 h1) (- h0 h1)) (+ (pow (* h0 (+ h0 h1)) 3) (pow (* (- h1) (+ h0 h1)) 3)) (+ (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (- (* (* (- h1) (+ h0 h1)) (* (- h1) (+ h0 h1))) (* (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1))))) (- (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (* (* (- h1) (+ h0 h1)) (* (- h1) (+ h0 h1)))) (- (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1))) (+ h0 (- h1)) (+ (* h0 (+ h0 h1)) (* (- h1) h0)) (+ (* h0 (+ h0 h1)) (* h0 (- h1))) (+ (* h0 h1) (* (- h1) (+ h0 h1))) (+ (* h1 h0) (* (- h1) (+ h0 h1))) (* (- h1) (+ h0 h1)) (+ (log (- h1)) (log (+ h0 h1))) (log (* (- h1) (+ h0 h1))) (exp (* (- h1) (+ h0 h1))) (* (* (* (- h1) (- h1)) (- h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* (- h1) (+ h0 h1))) (cbrt (* (- h1) (+ h0 h1)))) (cbrt (* (- h1) (+ h0 h1))) (* (* (* (- h1) (+ h0 h1)) (* (- h1) (+ h0 h1))) (* (- h1) (+ h0 h1))) (sqrt (* (- h1) (+ h0 h1))) (sqrt (* (- h1) (+ h0 h1))) (* (sqrt (- h1)) (sqrt (+ h0 h1))) (* (sqrt (- h1)) (sqrt (+ h0 h1))) (* h1 (+ h0 h1)) (* (- h1) h0) (* (- h1) h1) (* h0 (- h1)) (* h1 (- h1)) (* (- h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (- h1) (sqrt (+ h0 h1))) (* (- h1) 1) (* (- h1) 1) (* (cbrt (- h1)) (+ h0 h1)) (* (sqrt (- h1)) (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h1 (+ h0 h1)) (* (cbrt h1) (+ h0 h1)) (* (sqrt h1) (+ h0 h1)) (* h1 (+ h0 h1)) (* (- (cbrt h1)) (+ h0 h1)) (* (- (sqrt h1)) (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (- h1) (+ (pow h0 3) (pow h1 3))) (* (- h1) (- (* h0 h0) (* h1 h1))) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (+ (pow h1 2) (* h0 h1))) (- (+ (pow h1 2) (* h0 h1))) (- (+ (pow h1 2) (* h0 h1))) 0.424 * * [simplify]: iteration 0 : 413 enodes (cost 456 ) 0.433 * * [simplify]: iteration 1 : 2295 enodes (cost 398 ) 0.480 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.483 * * * [progress]: adding candidates to table 0.611 * [progress]: [Phase 3 of 3] Extracting. 0.611 * * [regime]: Finding splitpoints for: (# #) 0.612 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 0.612 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 0.622 * * * * [regimes]: Trying to branch on y from (# #) 0.634 * * * * [regimes]: Trying to branch on x from (# #) 0.643 * * * [regime]: Found split indices: #