3.129 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: Extracting # 3 : cost 0 0.038 * * [simplify]: Extracting # 4 : cost 0 0.038 * * [simplify]: Extracting # 5 : cost 0 0.038 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 2 : 48 enodes (cost 15 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: Extracting # 1 : cost 0 0.055 * * [simplify]: Extracting # 2 : cost 0 0.055 * * [simplify]: iteration 3 : 101 enodes (cost 15 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 4 : 188 enodes (cost 15 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.141 * * [simplify]: Extracting # 1 : cost 0 0.142 * * [simplify]: Extracting # 2 : cost 0 0.143 * * [simplify]: Extracting # 3 : cost 0 0.143 * * [simplify]: iteration 5 : 346 enodes (cost 15 ) 0.355 * * [simplify]: Extracting # 0 : cost 0 0.356 * * [simplify]: Extracting # 1 : cost 0 0.357 * * [simplify]: Extracting # 2 : cost 0 0.358 * * [simplify]: Extracting # 3 : cost 0 0.358 * * [simplify]: Extracting # 4 : cost 0 0.359 * * [simplify]: iteration 6 : 579 enodes (cost 15 ) 0.658 * * [simplify]: Extracting # 0 : cost 0 0.660 * * [simplify]: Extracting # 1 : cost 0 0.661 * * [simplify]: Extracting # 2 : cost 0 0.662 * * [simplify]: iteration 7 : 875 enodes (cost 15 ) 1.730 * * [simplify]: Extracting # 0 : cost 0 1.734 * * [simplify]: Extracting # 1 : cost 0 1.738 * * [simplify]: Extracting # 2 : cost 0 1.741 * * [simplify]: iteration 8 : 2271 enodes (cost 15 ) 4.140 * * [simplify]: Extracting # 0 : cost 0 4.145 * * [simplify]: Extracting # 1 : cost 0 4.148 * * [simplify]: Extracting # 2 : cost 0 4.151 * * [simplify]: Extracting # 3 : cost 0 4.155 * * [simplify]: Extracting # 4 : cost 0 4.160 * * [simplify]: iteration done: 5000 enodes (cost 15 ) 4.160 * [simplify]: Simplified to: (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 4.163 * * [progress]: iteration 1 / 4 4.163 * * * [progress]: picking best candidate 4.165 * * * * [pick]: Picked # 4.165 * * * [progress]: localizing error 4.174 * * * [progress]: generating rewritten candidates 4.174 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.212 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.221 * * * [progress]: generating series expansions 4.221 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.221 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 4.221 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 4.221 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 4.221 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.221 * [taylor]: Taking taylor expansion of (+ x y) in y 4.221 * [taylor]: Taking taylor expansion of x in y 4.221 * [backup-simplify]: Simplify x into x 4.221 * [taylor]: Taking taylor expansion of y in y 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [taylor]: Taking taylor expansion of (- x y) in y 4.222 * [taylor]: Taking taylor expansion of x in y 4.222 * [backup-simplify]: Simplify x into x 4.222 * [taylor]: Taking taylor expansion of y in y 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.222 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.222 * [taylor]: Taking taylor expansion of x in y 4.222 * [backup-simplify]: Simplify x into x 4.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.222 * [taylor]: Taking taylor expansion of y in y 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (+ x 0) into x 4.222 * [backup-simplify]: Simplify (- 0) into 0 4.223 * [backup-simplify]: Simplify (+ x 0) into x 4.223 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.223 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.223 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.223 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.223 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.223 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.223 * [taylor]: Taking taylor expansion of (+ x y) in x 4.223 * [taylor]: Taking taylor expansion of x in x 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [taylor]: Taking taylor expansion of y in x 4.223 * [backup-simplify]: Simplify y into y 4.223 * [taylor]: Taking taylor expansion of (- x y) in x 4.223 * [taylor]: Taking taylor expansion of x in x 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [taylor]: Taking taylor expansion of y in x 4.223 * [backup-simplify]: Simplify y into y 4.223 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.223 * [taylor]: Taking taylor expansion of x in x 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.223 * [taylor]: Taking taylor expansion of y in x 4.223 * [backup-simplify]: Simplify y into y 4.223 * [backup-simplify]: Simplify (+ 0 y) into y 4.223 * [backup-simplify]: Simplify (- y) into (- y) 4.223 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.223 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.223 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.223 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.224 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.224 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.224 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.224 * [taylor]: Taking taylor expansion of (+ x y) in x 4.224 * [taylor]: Taking taylor expansion of x in x 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.224 * [taylor]: Taking taylor expansion of y in x 4.224 * [backup-simplify]: Simplify y into y 4.224 * [taylor]: Taking taylor expansion of (- x y) in x 4.224 * [taylor]: Taking taylor expansion of x in x 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.224 * [taylor]: Taking taylor expansion of y in x 4.224 * [backup-simplify]: Simplify y into y 4.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.224 * [taylor]: Taking taylor expansion of x in x 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.224 * [taylor]: Taking taylor expansion of y in x 4.224 * [backup-simplify]: Simplify y into y 4.224 * [backup-simplify]: Simplify (+ 0 y) into y 4.224 * [backup-simplify]: Simplify (- y) into (- y) 4.224 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.224 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.224 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.224 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.224 * [taylor]: Taking taylor expansion of -1 in y 4.224 * [backup-simplify]: Simplify -1 into -1 4.225 * [backup-simplify]: Simplify -1 into -1 4.225 * [backup-simplify]: Simplify (- 0) into 0 4.225 * [backup-simplify]: Simplify (+ 1 0) into 1 4.225 * [backup-simplify]: Simplify (+ 1 0) into 1 4.225 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.226 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 4.226 * [taylor]: Taking taylor expansion of 0 in y 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (- 0) into 0 4.226 * [backup-simplify]: Simplify (+ 0 0) into 0 4.227 * [backup-simplify]: Simplify (+ 0 0) into 0 4.227 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.227 * [backup-simplify]: Simplify (* 1 1) into 1 4.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.228 * [backup-simplify]: Simplify (+ 1 0) into 1 4.228 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 4.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.228 * [taylor]: Taking taylor expansion of 2 in y 4.228 * [backup-simplify]: Simplify 2 into 2 4.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.228 * [taylor]: Taking taylor expansion of y in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (* 1 1) into 1 4.229 * [backup-simplify]: Simplify (/ 1 1) into 1 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify (- 0) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.233 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.233 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [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 4.234 * [taylor]: Taking taylor expansion of 0 in y 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify -1 into -1 4.235 * [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)))) 4.235 * [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 4.235 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.235 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.235 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.235 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.235 * [taylor]: Taking taylor expansion of x in y 4.235 * [backup-simplify]: Simplify x into x 4.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.235 * [taylor]: Taking taylor expansion of y in y 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (/ 1 1) into 1 4.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.235 * [taylor]: Taking taylor expansion of y in y 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (/ 1 1) into 1 4.235 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.235 * [taylor]: Taking taylor expansion of x in y 4.235 * [backup-simplify]: Simplify x into x 4.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.236 * [taylor]: Taking taylor expansion of x in y 4.236 * [backup-simplify]: Simplify x into x 4.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.236 * [taylor]: Taking taylor expansion of y in y 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (* 1 1) into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.236 * [backup-simplify]: Simplify (- 1) into -1 4.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.237 * [backup-simplify]: Simplify (+ 1 0) into 1 4.237 * [backup-simplify]: Simplify (* -1 1) into -1 4.237 * [backup-simplify]: Simplify (+ 0 1) into 1 4.238 * [backup-simplify]: Simplify (/ -1 1) into -1 4.238 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.238 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.238 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.238 * [taylor]: Taking taylor expansion of x in x 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (/ 1 1) into 1 4.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.238 * [taylor]: Taking taylor expansion of y in x 4.238 * [backup-simplify]: Simplify y into y 4.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.238 * [taylor]: Taking taylor expansion of y in x 4.238 * [backup-simplify]: Simplify y into y 4.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.238 * [taylor]: Taking taylor expansion of x in x 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (/ 1 1) into 1 4.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.239 * [taylor]: Taking taylor expansion of x in x 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (* 1 1) into 1 4.239 * [backup-simplify]: Simplify (/ 1 1) into 1 4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.239 * [taylor]: Taking taylor expansion of y in x 4.239 * [backup-simplify]: Simplify y into y 4.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.240 * [backup-simplify]: Simplify (+ 1 0) into 1 4.240 * [backup-simplify]: Simplify (+ 0 1) into 1 4.240 * [backup-simplify]: Simplify (* 1 1) into 1 4.240 * [backup-simplify]: Simplify (+ 1 0) into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.241 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.241 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.241 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.241 * [taylor]: Taking taylor expansion of x in x 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.241 * [taylor]: Taking taylor expansion of y in x 4.241 * [backup-simplify]: Simplify y into y 4.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.241 * [taylor]: Taking taylor expansion of y in x 4.241 * [backup-simplify]: Simplify y into y 4.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.241 * [taylor]: Taking taylor expansion of x in x 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* 1 1) into 1 4.242 * [backup-simplify]: Simplify (/ 1 1) into 1 4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.242 * [taylor]: Taking taylor expansion of y in x 4.242 * [backup-simplify]: Simplify y into y 4.242 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.243 * [backup-simplify]: Simplify (+ 1 0) into 1 4.243 * [backup-simplify]: Simplify (+ 0 1) into 1 4.243 * [backup-simplify]: Simplify (* 1 1) into 1 4.243 * [backup-simplify]: Simplify (+ 1 0) into 1 4.243 * [backup-simplify]: Simplify (/ 1 1) into 1 4.244 * [taylor]: Taking taylor expansion of 1 in y 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.245 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.245 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.246 * [taylor]: Taking taylor expansion of 0 in y 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.250 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 4.250 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.250 * [taylor]: Taking taylor expansion of 2 in y 4.250 * [backup-simplify]: Simplify 2 into 2 4.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.251 * [taylor]: Taking taylor expansion of y in y 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (* 1 1) into 1 4.251 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.253 * [backup-simplify]: Simplify (- 0) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.255 * [backup-simplify]: Simplify (- 0) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.259 * [taylor]: Taking taylor expansion of 0 in y 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [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))))) 4.259 * [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 4.259 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 4.259 * [taylor]: Taking taylor expansion of -1 in y 4.259 * [backup-simplify]: Simplify -1 into -1 4.259 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.259 * [taylor]: Taking taylor expansion of y in y 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.260 * [taylor]: Taking taylor expansion of x in y 4.260 * [backup-simplify]: Simplify x into x 4.260 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.260 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.260 * [taylor]: Taking taylor expansion of y in y 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.260 * [taylor]: Taking taylor expansion of x in y 4.260 * [backup-simplify]: Simplify x into x 4.260 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.260 * [taylor]: Taking taylor expansion of x in y 4.260 * [backup-simplify]: Simplify x into x 4.260 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.260 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.260 * [taylor]: Taking taylor expansion of y in y 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (* 1 1) into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [backup-simplify]: Simplify (+ 1 0) into 1 4.261 * [backup-simplify]: Simplify (+ 1 0) into 1 4.262 * [backup-simplify]: Simplify (* 1 1) into 1 4.262 * [backup-simplify]: Simplify (+ 0 1) into 1 4.262 * [backup-simplify]: Simplify (/ 1 1) into 1 4.262 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.262 * [taylor]: Taking taylor expansion of -1 in x 4.262 * [backup-simplify]: Simplify -1 into -1 4.262 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.262 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.262 * [taylor]: Taking taylor expansion of y in x 4.262 * [backup-simplify]: Simplify y into y 4.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.262 * [taylor]: Taking taylor expansion of x in x 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (/ 1 1) into 1 4.263 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.263 * [taylor]: Taking taylor expansion of y in x 4.263 * [backup-simplify]: Simplify y into y 4.263 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (/ 1 1) into 1 4.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (* 1 1) into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.264 * [taylor]: Taking taylor expansion of y in x 4.264 * [backup-simplify]: Simplify y into y 4.264 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.264 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.264 * [backup-simplify]: Simplify (+ 0 1) into 1 4.264 * [backup-simplify]: Simplify (- 1) into -1 4.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.267 * [backup-simplify]: Simplify (* 1 -1) into -1 4.267 * [backup-simplify]: Simplify (+ 1 0) into 1 4.268 * [backup-simplify]: Simplify (/ -1 1) into -1 4.268 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.268 * [taylor]: Taking taylor expansion of -1 in x 4.268 * [backup-simplify]: Simplify -1 into -1 4.268 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.268 * [taylor]: Taking taylor expansion of y in x 4.268 * [backup-simplify]: Simplify y into y 4.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.268 * [taylor]: Taking taylor expansion of x in x 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.268 * [taylor]: Taking taylor expansion of y in x 4.268 * [backup-simplify]: Simplify y into y 4.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.268 * [taylor]: Taking taylor expansion of x in x 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.269 * [taylor]: Taking taylor expansion of x in x 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (* 1 1) into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.269 * [taylor]: Taking taylor expansion of y in x 4.269 * [backup-simplify]: Simplify y into y 4.269 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.270 * [backup-simplify]: Simplify (+ 0 1) into 1 4.270 * [backup-simplify]: Simplify (- 1) into -1 4.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.270 * [backup-simplify]: Simplify (* 1 -1) into -1 4.271 * [backup-simplify]: Simplify (+ 1 0) into 1 4.271 * [backup-simplify]: Simplify (/ -1 1) into -1 4.271 * [backup-simplify]: Simplify (* -1 -1) into 1 4.271 * [taylor]: Taking taylor expansion of 1 in y 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (- 0) into 0 4.272 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.273 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.275 * [taylor]: Taking taylor expansion of 0 in y 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.276 * [backup-simplify]: Simplify (- 0) into 0 4.276 * [backup-simplify]: Simplify (+ 0 0) into 0 4.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.277 * [backup-simplify]: Simplify (+ 0 0) into 0 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 4.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.279 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 4.280 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 4.280 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.280 * [taylor]: Taking taylor expansion of 2 in y 4.280 * [backup-simplify]: Simplify 2 into 2 4.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.280 * [taylor]: Taking taylor expansion of y in y 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (* 1 1) into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.283 * [backup-simplify]: Simplify (- 0) into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (- 0) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 4.289 * [taylor]: Taking taylor expansion of 0 in y 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.289 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 4.289 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 4.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.289 * [taylor]: Taking taylor expansion of x in y 4.289 * [backup-simplify]: Simplify x into x 4.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.289 * [taylor]: Taking taylor expansion of y in y 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.289 * [taylor]: Taking taylor expansion of y in x 4.289 * [backup-simplify]: Simplify y into y 4.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.289 * [taylor]: Taking taylor expansion of y in x 4.289 * [backup-simplify]: Simplify y into y 4.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.289 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.289 * [taylor]: Taking taylor expansion of y in y 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.290 * [backup-simplify]: Simplify (+ 0 0) into 0 4.290 * [taylor]: Taking taylor expansion of 0 in y 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.291 * [backup-simplify]: Simplify (+ 1 0) into 1 4.291 * [taylor]: Taking taylor expansion of 1 in y 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify (* 1 1) into 1 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.292 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [taylor]: Taking taylor expansion of 0 in y 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.294 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [taylor]: Taking taylor expansion of 0 in y 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 4.294 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.294 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.295 * [taylor]: Taking taylor expansion of x in y 4.295 * [backup-simplify]: Simplify x into x 4.295 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.295 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (* 1 1) into 1 4.295 * [backup-simplify]: Simplify (/ 1 1) into 1 4.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.295 * [taylor]: Taking taylor expansion of x in x 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (* 1 1) into 1 4.296 * [backup-simplify]: Simplify (/ 1 1) into 1 4.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.296 * [backup-simplify]: Simplify y into y 4.296 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (* 1 1) into 1 4.297 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.297 * [taylor]: Taking taylor expansion of y in x 4.297 * [backup-simplify]: Simplify y into y 4.297 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.297 * [backup-simplify]: Simplify (+ 1 0) into 1 4.297 * [taylor]: Taking taylor expansion of 1 in y 4.297 * [backup-simplify]: Simplify 1 into 1 4.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.298 * [taylor]: Taking taylor expansion of 0 in y 4.298 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.299 * [taylor]: Taking taylor expansion of y in y 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify (* 1 1) into 1 4.300 * [backup-simplify]: Simplify (/ 1 1) into 1 4.300 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [taylor]: Taking taylor expansion of 0 in y 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.304 * [taylor]: Taking taylor expansion of 0 in y 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.306 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.306 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.306 * [taylor]: Taking taylor expansion of x in y 4.306 * [backup-simplify]: Simplify x into x 4.306 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.306 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.306 * [taylor]: Taking taylor expansion of y in y 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 1 into 1 4.306 * [backup-simplify]: Simplify (* 1 1) into 1 4.307 * [backup-simplify]: Simplify (/ 1 1) into 1 4.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.307 * [taylor]: Taking taylor expansion of x in x 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (* 1 1) into 1 4.307 * [backup-simplify]: Simplify (/ 1 1) into 1 4.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.307 * [taylor]: Taking taylor expansion of y in x 4.307 * [backup-simplify]: Simplify y into y 4.307 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.308 * [taylor]: Taking taylor expansion of x in x 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [backup-simplify]: Simplify (* 1 1) into 1 4.308 * [backup-simplify]: Simplify (/ 1 1) into 1 4.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.308 * [taylor]: Taking taylor expansion of y in x 4.308 * [backup-simplify]: Simplify y into y 4.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.309 * [backup-simplify]: Simplify (+ 1 0) into 1 4.309 * [taylor]: Taking taylor expansion of 1 in y 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [taylor]: Taking taylor expansion of 0 in y 4.310 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.312 * [taylor]: Taking taylor expansion of y in y 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (* 1 1) into 1 4.313 * [backup-simplify]: Simplify (/ 1 1) into 1 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.316 * [taylor]: Taking taylor expansion of 0 in y 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [taylor]: Taking taylor expansion of 0 in y 4.320 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.323 * * * [progress]: simplifying candidates 4.324 * [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)) 4.326 * * [simplify]: Extracting # 0 : cost 0 4.326 * * [simplify]: Extracting # 1 : cost 0 4.327 * * [simplify]: Extracting # 2 : cost 0 4.327 * * [simplify]: Extracting # 3 : cost 0 4.327 * * [simplify]: Extracting # 4 : cost 0 4.327 * * [simplify]: Extracting # 5 : cost 0 4.328 * * [simplify]: Extracting # 6 : cost 0 4.328 * * [simplify]: Extracting # 7 : cost 0 4.328 * * [simplify]: iteration 0 : 91 enodes (cost 826 ) 4.354 * * [simplify]: Extracting # 0 : cost 0 4.354 * * [simplify]: Extracting # 1 : cost 0 4.354 * * [simplify]: Extracting # 2 : cost 0 4.354 * * [simplify]: Extracting # 3 : cost 0 4.355 * * [simplify]: Extracting # 4 : cost 0 4.355 * * [simplify]: iteration 1 : 303 enodes (cost 802 ) 4.554 * * [simplify]: Extracting # 0 : cost 0 4.556 * * [simplify]: Extracting # 1 : cost 0 4.557 * * [simplify]: Extracting # 2 : cost 0 4.559 * * [simplify]: Extracting # 3 : cost 0 4.560 * * [simplify]: Extracting # 4 : cost 0 4.562 * * [simplify]: Extracting # 5 : cost 0 4.563 * * [simplify]: iteration 2 : 1443 enodes (cost 662 ) 5.188 * * [simplify]: Extracting # 0 : cost 0 5.198 * * [simplify]: Extracting # 1 : cost 0 5.211 * * [simplify]: Extracting # 2 : cost 0 5.223 * * [simplify]: Extracting # 3 : cost 0 5.234 * * [simplify]: Extracting # 4 : cost 0 5.253 * * [simplify]: iteration done: 5000 enodes (cost 655 ) 5.254 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (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)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- y x) (+ 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) (/ (+ 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)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (+ x y) (- x y)) (+ (pow x 6) (pow y 6))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y (+ x y)))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y))))) (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* y (- y x)) (* x x))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* 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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) -1 1 1 (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) 5.254 * * * [progress]: adding candidates to table 5.381 * * [progress]: iteration 2 / 4 5.381 * * * [progress]: picking best candidate 5.388 * * * * [pick]: Picked # 5.388 * * * [progress]: localizing error 5.389 * * * [progress]: generating rewritten candidates 5.389 * * * [progress]: generating series expansions 5.389 * * * [progress]: simplifying candidates 5.389 * [simplify]: Simplifying: 5.389 * * [simplify]: Extracting # 0 : cost 0 5.389 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.389 * * [simplify]: Extracting # 0 : cost 0 5.389 * * [simplify]: iteration done: 0 enodes (cost 0 ) 5.389 * [simplify]: Simplified to: 5.389 * * * [progress]: adding candidates to table 5.390 * * [progress]: iteration 3 / 4 5.390 * * * [progress]: picking best candidate 5.396 * * * * [pick]: Picked # 5.396 * * * [progress]: localizing error 5.411 * * * [progress]: generating rewritten candidates 5.411 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.438 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 5.504 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 5.515 * * * [progress]: generating series expansions 5.515 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 5.515 * [backup-simplify]: Simplify (/ (+ x y) (+ (* x x) (* y y))) into (/ (+ x y) (+ (pow x 2) (pow y 2))) 5.515 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 5.515 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 5.515 * [taylor]: Taking taylor expansion of (+ x y) in y 5.515 * [taylor]: Taking taylor expansion of x in y 5.515 * [backup-simplify]: Simplify x into x 5.515 * [taylor]: Taking taylor expansion of y in y 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 1 into 1 5.515 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.515 * [taylor]: Taking taylor expansion of x in y 5.515 * [backup-simplify]: Simplify x into x 5.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.516 * [taylor]: Taking taylor expansion of y in y 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [backup-simplify]: Simplify (+ x 0) into x 5.516 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.516 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.516 * [backup-simplify]: Simplify (/ x (pow x 2)) into (/ 1 x) 5.516 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 5.516 * [taylor]: Taking taylor expansion of (+ x y) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of y in x 5.516 * [backup-simplify]: Simplify y into y 5.516 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.516 * [taylor]: Taking taylor expansion of y in x 5.516 * [backup-simplify]: Simplify y into y 5.516 * [backup-simplify]: Simplify (+ 0 y) into y 5.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.516 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.516 * [backup-simplify]: Simplify (/ y (pow y 2)) into (/ 1 y) 5.516 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 5.516 * [taylor]: Taking taylor expansion of (+ x y) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of y in x 5.516 * [backup-simplify]: Simplify y into y 5.516 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.517 * [taylor]: Taking taylor expansion of y in x 5.517 * [backup-simplify]: Simplify y into y 5.517 * [backup-simplify]: Simplify (+ 0 y) into y 5.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.517 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.517 * [backup-simplify]: Simplify (/ y (pow y 2)) into (/ 1 y) 5.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.517 * [taylor]: Taking taylor expansion of y in y 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (/ 1 1) into 1 5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify (+ 1 0) into 1 5.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.521 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* (/ 1 y) (/ 0 (pow y 2))))) into (/ 1 (pow y 2)) 5.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.522 * [taylor]: Taking taylor expansion of y in y 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (* 1 1) into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (+ 0 0) into 0 5.525 * [backup-simplify]: Simplify (* 1 1) into 1 5.525 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.525 * [backup-simplify]: Simplify (+ 1 0) into 1 5.526 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 y) (/ 1 (pow y 2))) (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into (- (/ 1 (pow y 3))) 5.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 5.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 5.526 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.526 * [taylor]: Taking taylor expansion of y in y 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (* 1 1) into 1 5.526 * [backup-simplify]: Simplify (* 1 1) into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.531 * [backup-simplify]: Simplify (- 0) into 0 5.531 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.533 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.533 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.533 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.533 * [taylor]: Taking taylor expansion of y in y 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [backup-simplify]: Simplify (/ 1 1) into 1 5.533 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.533 * [taylor]: Taking taylor expansion of x in y 5.533 * [backup-simplify]: Simplify x into x 5.533 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.533 * [taylor]: Taking taylor expansion of x in y 5.533 * [backup-simplify]: Simplify x into x 5.533 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.534 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.534 * [taylor]: Taking taylor expansion of y in y 5.534 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify 1 into 1 5.534 * [backup-simplify]: Simplify (* 1 1) into 1 5.534 * [backup-simplify]: Simplify (/ 1 1) into 1 5.534 * [backup-simplify]: Simplify (+ 1 0) into 1 5.535 * [backup-simplify]: Simplify (+ 0 1) into 1 5.535 * [backup-simplify]: Simplify (/ 1 1) into 1 5.535 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.535 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.535 * [taylor]: Taking taylor expansion of y in x 5.535 * [backup-simplify]: Simplify y into y 5.535 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.535 * [taylor]: Taking taylor expansion of x in x 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [backup-simplify]: Simplify (/ 1 1) into 1 5.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.535 * [taylor]: Taking taylor expansion of x in x 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (* 1 1) into 1 5.536 * [backup-simplify]: Simplify (/ 1 1) into 1 5.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.536 * [taylor]: Taking taylor expansion of y in x 5.536 * [backup-simplify]: Simplify y into y 5.536 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.536 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.536 * [backup-simplify]: Simplify (+ 0 1) into 1 5.537 * [backup-simplify]: Simplify (+ 1 0) into 1 5.537 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.537 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.537 * [taylor]: Taking taylor expansion of y in x 5.537 * [backup-simplify]: Simplify y into y 5.537 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.537 * [taylor]: Taking taylor expansion of x in x 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.537 * [taylor]: Taking taylor expansion of x in x 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (* 1 1) into 1 5.538 * [backup-simplify]: Simplify (/ 1 1) into 1 5.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.538 * [taylor]: Taking taylor expansion of y in x 5.538 * [backup-simplify]: Simplify y into y 5.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.538 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.538 * [backup-simplify]: Simplify (+ 0 1) into 1 5.539 * [backup-simplify]: Simplify (+ 1 0) into 1 5.539 * [backup-simplify]: Simplify (/ 1 1) into 1 5.539 * [taylor]: Taking taylor expansion of 1 in y 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.541 * [taylor]: Taking taylor expansion of y in y 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify 1 into 1 5.541 * [backup-simplify]: Simplify (/ 1 1) into 1 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify (+ 0 0) into 0 5.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.544 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* (/ 1 y) (/ 0 1)))) into (- (/ 1 (pow y 2))) 5.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 5.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.545 * [taylor]: Taking taylor expansion of y in y 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (* 1 1) into 1 5.545 * [backup-simplify]: Simplify (/ 1 1) into 1 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (- 0) into 0 5.548 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 5.549 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 5.549 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 5.549 * [taylor]: Taking taylor expansion of -1 in y 5.549 * [backup-simplify]: Simplify -1 into -1 5.549 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.549 * [taylor]: Taking taylor expansion of y in y 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.550 * [backup-simplify]: Simplify (/ 1 1) into 1 5.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.550 * [taylor]: Taking taylor expansion of x in y 5.550 * [backup-simplify]: Simplify x into x 5.550 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.550 * [taylor]: Taking taylor expansion of x in y 5.550 * [backup-simplify]: Simplify x into x 5.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.550 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.550 * [taylor]: Taking taylor expansion of y in y 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [backup-simplify]: Simplify (* 1 1) into 1 5.551 * [backup-simplify]: Simplify (/ 1 1) into 1 5.551 * [backup-simplify]: Simplify (+ 1 0) into 1 5.551 * [backup-simplify]: Simplify (+ 0 1) into 1 5.551 * [backup-simplify]: Simplify (/ 1 1) into 1 5.551 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.551 * [taylor]: Taking taylor expansion of -1 in x 5.551 * [backup-simplify]: Simplify -1 into -1 5.551 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.551 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.551 * [taylor]: Taking taylor expansion of y in x 5.551 * [backup-simplify]: Simplify y into y 5.552 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.552 * [taylor]: Taking taylor expansion of x in x 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 1 into 1 5.552 * [backup-simplify]: Simplify (/ 1 1) into 1 5.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.552 * [taylor]: Taking taylor expansion of x in x 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 1 into 1 5.552 * [backup-simplify]: Simplify (* 1 1) into 1 5.552 * [backup-simplify]: Simplify (/ 1 1) into 1 5.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.552 * [taylor]: Taking taylor expansion of y in x 5.553 * [backup-simplify]: Simplify y into y 5.553 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.553 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.553 * [backup-simplify]: Simplify (+ 0 1) into 1 5.553 * [backup-simplify]: Simplify (+ 1 0) into 1 5.553 * [backup-simplify]: Simplify (/ 1 1) into 1 5.553 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.553 * [taylor]: Taking taylor expansion of -1 in x 5.553 * [backup-simplify]: Simplify -1 into -1 5.553 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.553 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.554 * [taylor]: Taking taylor expansion of y in x 5.554 * [backup-simplify]: Simplify y into y 5.554 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.554 * [taylor]: Taking taylor expansion of x in x 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (/ 1 1) into 1 5.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.554 * [taylor]: Taking taylor expansion of x in x 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (* 1 1) into 1 5.554 * [backup-simplify]: Simplify (/ 1 1) into 1 5.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.555 * [taylor]: Taking taylor expansion of y in x 5.555 * [backup-simplify]: Simplify y into y 5.555 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.555 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.555 * [backup-simplify]: Simplify (+ 0 1) into 1 5.555 * [backup-simplify]: Simplify (+ 1 0) into 1 5.555 * [backup-simplify]: Simplify (/ 1 1) into 1 5.556 * [backup-simplify]: Simplify (* -1 1) into -1 5.556 * [taylor]: Taking taylor expansion of -1 in y 5.556 * [backup-simplify]: Simplify -1 into -1 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.556 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify (+ 0 0) into 0 5.558 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.558 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 5.558 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 5.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.558 * [taylor]: Taking taylor expansion of y in y 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (/ 1 1) into 1 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (- 0) into 0 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.561 * [backup-simplify]: Simplify (+ 0 0) into 0 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.562 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* (/ 1 y) (/ 0 1)))) into (- (/ 1 (pow y 2))) 5.563 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 5.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.563 * [taylor]: Taking taylor expansion of y in y 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (* 1 1) into 1 5.563 * [backup-simplify]: Simplify (/ 1 1) into 1 5.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- 0) into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * * * * [progress]: [ 2 / 3 ] generating series at (2) 5.567 * [backup-simplify]: Simplify (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 5.567 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 5.567 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 5.567 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 5.567 * [taylor]: Taking taylor expansion of (+ x y) in y 5.567 * [taylor]: Taking taylor expansion of x in y 5.567 * [backup-simplify]: Simplify x into x 5.567 * [taylor]: Taking taylor expansion of y in y 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [taylor]: Taking taylor expansion of (- x y) in y 5.567 * [taylor]: Taking taylor expansion of x in y 5.567 * [backup-simplify]: Simplify x into x 5.567 * [taylor]: Taking taylor expansion of y in y 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.567 * [taylor]: Taking taylor expansion of x in y 5.567 * [backup-simplify]: Simplify x into x 5.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.568 * [taylor]: Taking taylor expansion of y in y 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (+ x 0) into x 5.568 * [backup-simplify]: Simplify (- 0) into 0 5.568 * [backup-simplify]: Simplify (+ x 0) into x 5.568 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.568 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.568 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.568 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 5.568 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 5.568 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 5.568 * [taylor]: Taking taylor expansion of (+ x y) in x 5.568 * [taylor]: Taking taylor expansion of x in x 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [taylor]: Taking taylor expansion of y in x 5.568 * [backup-simplify]: Simplify y into y 5.568 * [taylor]: Taking taylor expansion of (- x y) in x 5.568 * [taylor]: Taking taylor expansion of x in x 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [taylor]: Taking taylor expansion of y in x 5.568 * [backup-simplify]: Simplify y into y 5.568 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.568 * [taylor]: Taking taylor expansion of x in x 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.568 * [taylor]: Taking taylor expansion of y in x 5.569 * [backup-simplify]: Simplify y into y 5.569 * [backup-simplify]: Simplify (+ 0 y) into y 5.569 * [backup-simplify]: Simplify (- y) into (- y) 5.569 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 5.569 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 5.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.569 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.569 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 5.569 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 5.569 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 5.569 * [taylor]: Taking taylor expansion of (+ x y) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of y in x 5.569 * [backup-simplify]: Simplify y into y 5.569 * [taylor]: Taking taylor expansion of (- x y) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of y in x 5.569 * [backup-simplify]: Simplify y into y 5.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.569 * [taylor]: Taking taylor expansion of y in x 5.569 * [backup-simplify]: Simplify y into y 5.569 * [backup-simplify]: Simplify (+ 0 y) into y 5.569 * [backup-simplify]: Simplify (- y) into (- y) 5.569 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 5.569 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 5.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.570 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.570 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 5.570 * [taylor]: Taking taylor expansion of -1 in y 5.570 * [backup-simplify]: Simplify -1 into -1 5.570 * [backup-simplify]: Simplify -1 into -1 5.570 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify (+ 1 0) into 1 5.571 * [backup-simplify]: Simplify (+ 1 0) into 1 5.571 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 5.571 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.571 * [backup-simplify]: Simplify (+ 0 0) into 0 5.571 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 5.571 * [taylor]: Taking taylor expansion of 0 in y 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify (- 0) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.572 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 5.572 * [backup-simplify]: Simplify (* 1 1) into 1 5.573 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.573 * [backup-simplify]: Simplify (+ 1 0) into 1 5.573 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 5.573 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.573 * [taylor]: Taking taylor expansion of 2 in y 5.573 * [backup-simplify]: Simplify 2 into 2 5.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.573 * [taylor]: Taking taylor expansion of y in y 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.574 * [backup-simplify]: Simplify (* 1 1) into 1 5.574 * [backup-simplify]: Simplify (/ 1 1) into 1 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (- 0) into 0 5.577 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 5.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [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 5.579 * [taylor]: Taking taylor expansion of 0 in y 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify -1 into -1 5.579 * [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)))) 5.579 * [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 5.579 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.579 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 5.579 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 5.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.579 * [taylor]: Taking taylor expansion of x in y 5.579 * [backup-simplify]: Simplify x into x 5.579 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.579 * [taylor]: Taking taylor expansion of y in y 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.580 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.580 * [taylor]: Taking taylor expansion of y in y 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.580 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.580 * [taylor]: Taking taylor expansion of x in y 5.580 * [backup-simplify]: Simplify x into x 5.580 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.580 * [taylor]: Taking taylor expansion of x in y 5.580 * [backup-simplify]: Simplify x into x 5.580 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.580 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.580 * [taylor]: Taking taylor expansion of y in y 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.581 * [backup-simplify]: Simplify (* 1 1) into 1 5.581 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [backup-simplify]: Simplify (- 1) into -1 5.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.582 * [backup-simplify]: Simplify (+ 1 0) into 1 5.582 * [backup-simplify]: Simplify (* -1 1) into -1 5.582 * [backup-simplify]: Simplify (+ 0 1) into 1 5.582 * [backup-simplify]: Simplify (/ -1 1) into -1 5.582 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.582 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 5.582 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 5.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.582 * [taylor]: Taking taylor expansion of x in x 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 1 into 1 5.583 * [backup-simplify]: Simplify (/ 1 1) into 1 5.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.583 * [taylor]: Taking taylor expansion of y in x 5.583 * [backup-simplify]: Simplify y into y 5.583 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.583 * [taylor]: Taking taylor expansion of y in x 5.583 * [backup-simplify]: Simplify y into y 5.583 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.583 * [taylor]: Taking taylor expansion of x in x 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 1 into 1 5.583 * [backup-simplify]: Simplify (/ 1 1) into 1 5.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.583 * [taylor]: Taking taylor expansion of x in x 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (* 1 1) into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.584 * [taylor]: Taking taylor expansion of y in x 5.584 * [backup-simplify]: Simplify y into y 5.584 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.584 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.584 * [backup-simplify]: Simplify (+ 1 0) into 1 5.585 * [backup-simplify]: Simplify (+ 0 1) into 1 5.585 * [backup-simplify]: Simplify (* 1 1) into 1 5.585 * [backup-simplify]: Simplify (+ 1 0) into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.585 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 5.585 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 5.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.585 * [taylor]: Taking taylor expansion of x in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.586 * [taylor]: Taking taylor expansion of y in x 5.586 * [backup-simplify]: Simplify y into y 5.586 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.586 * [taylor]: Taking taylor expansion of y in x 5.586 * [backup-simplify]: Simplify y into y 5.586 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.586 * [taylor]: Taking taylor expansion of x in x 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.586 * [taylor]: Taking taylor expansion of x in x 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (* 1 1) into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.587 * [taylor]: Taking taylor expansion of y in x 5.587 * [backup-simplify]: Simplify y into y 5.587 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.587 * [backup-simplify]: Simplify (+ 1 0) into 1 5.587 * [backup-simplify]: Simplify (+ 0 1) into 1 5.588 * [backup-simplify]: Simplify (* 1 1) into 1 5.588 * [backup-simplify]: Simplify (+ 1 0) into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [taylor]: Taking taylor expansion of 1 in y 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 5.589 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 5.589 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ 0 0) into 0 5.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.591 * [taylor]: Taking taylor expansion of 0 in y 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.592 * [backup-simplify]: Simplify (- 0) into 0 5.593 * [backup-simplify]: Simplify (+ 0 0) into 0 5.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.595 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 5.595 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 5.595 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.595 * [taylor]: Taking taylor expansion of 2 in y 5.595 * [backup-simplify]: Simplify 2 into 2 5.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.595 * [taylor]: Taking taylor expansion of y in y 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify (* 1 1) into 1 5.596 * [backup-simplify]: Simplify (/ 1 1) into 1 5.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.598 * [backup-simplify]: Simplify (- 0) into 0 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ 0 0) into 0 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.602 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 5.603 * [taylor]: Taking taylor expansion of 0 in y 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.604 * [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))))) 5.604 * [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 5.604 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 5.604 * [taylor]: Taking taylor expansion of -1 in y 5.604 * [backup-simplify]: Simplify -1 into -1 5.604 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.604 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 5.604 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.604 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.604 * [taylor]: Taking taylor expansion of y in y 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.604 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.604 * [taylor]: Taking taylor expansion of x in y 5.604 * [backup-simplify]: Simplify x into x 5.604 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.604 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 5.604 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.604 * [taylor]: Taking taylor expansion of y in y 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (/ 1 1) into 1 5.605 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.605 * [taylor]: Taking taylor expansion of x in y 5.605 * [backup-simplify]: Simplify x into x 5.605 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.605 * [taylor]: Taking taylor expansion of x in y 5.605 * [backup-simplify]: Simplify x into x 5.605 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.605 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.605 * [taylor]: Taking taylor expansion of y in y 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (* 1 1) into 1 5.605 * [backup-simplify]: Simplify (/ 1 1) into 1 5.606 * [backup-simplify]: Simplify (+ 1 0) into 1 5.606 * [backup-simplify]: Simplify (+ 1 0) into 1 5.606 * [backup-simplify]: Simplify (* 1 1) into 1 5.606 * [backup-simplify]: Simplify (+ 0 1) into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.607 * [taylor]: Taking taylor expansion of -1 in x 5.607 * [backup-simplify]: Simplify -1 into -1 5.607 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.607 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 5.607 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.607 * [taylor]: Taking taylor expansion of y in x 5.607 * [backup-simplify]: Simplify y into y 5.607 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.607 * [taylor]: Taking taylor expansion of x in x 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.607 * [taylor]: Taking taylor expansion of y in x 5.607 * [backup-simplify]: Simplify y into y 5.607 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.607 * [taylor]: Taking taylor expansion of x in x 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.613 * [taylor]: Taking taylor expansion of y in x 5.613 * [backup-simplify]: Simplify y into y 5.613 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.613 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.613 * [backup-simplify]: Simplify (+ 0 1) into 1 5.613 * [backup-simplify]: Simplify (- 1) into -1 5.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.614 * [backup-simplify]: Simplify (* 1 -1) into -1 5.614 * [backup-simplify]: Simplify (+ 1 0) into 1 5.614 * [backup-simplify]: Simplify (/ -1 1) into -1 5.615 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.615 * [taylor]: Taking taylor expansion of -1 in x 5.615 * [backup-simplify]: Simplify -1 into -1 5.615 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.615 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 5.615 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.615 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.615 * [taylor]: Taking taylor expansion of y in x 5.615 * [backup-simplify]: Simplify y into y 5.615 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.615 * [taylor]: Taking taylor expansion of x in x 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.615 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.615 * [taylor]: Taking taylor expansion of y in x 5.615 * [backup-simplify]: Simplify y into y 5.615 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.615 * [taylor]: Taking taylor expansion of x in x 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.615 * [taylor]: Taking taylor expansion of x in x 5.615 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [backup-simplify]: Simplify (* 1 1) into 1 5.616 * [backup-simplify]: Simplify (/ 1 1) into 1 5.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.616 * [taylor]: Taking taylor expansion of y in x 5.616 * [backup-simplify]: Simplify y into y 5.616 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.616 * [backup-simplify]: Simplify (+ 0 1) into 1 5.617 * [backup-simplify]: Simplify (- 1) into -1 5.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.617 * [backup-simplify]: Simplify (* 1 -1) into -1 5.617 * [backup-simplify]: Simplify (+ 1 0) into 1 5.618 * [backup-simplify]: Simplify (/ -1 1) into -1 5.618 * [backup-simplify]: Simplify (* -1 -1) into 1 5.618 * [taylor]: Taking taylor expansion of 1 in y 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (- 0) into 0 5.619 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.619 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 5.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.621 * [taylor]: Taking taylor expansion of 0 in y 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.622 * [backup-simplify]: Simplify (- 0) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.625 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 5.626 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 5.626 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 5.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.626 * [taylor]: Taking taylor expansion of 2 in y 5.626 * [backup-simplify]: Simplify 2 into 2 5.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.626 * [taylor]: Taking taylor expansion of y in y 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify 1 into 1 5.626 * [backup-simplify]: Simplify (* 1 1) into 1 5.627 * [backup-simplify]: Simplify (/ 1 1) into 1 5.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.629 * [backup-simplify]: Simplify (- 0) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (- 0) into 0 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.633 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 5.635 * [taylor]: Taking taylor expansion of 0 in y 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.635 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 5.636 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 5.636 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 5.636 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.636 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.636 * [taylor]: Taking taylor expansion of x in y 5.636 * [backup-simplify]: Simplify x into x 5.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.636 * [taylor]: Taking taylor expansion of y in y 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.636 * [taylor]: Taking taylor expansion of y in x 5.636 * [backup-simplify]: Simplify y into y 5.636 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.636 * [taylor]: Taking taylor expansion of y in x 5.636 * [backup-simplify]: Simplify y into y 5.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.636 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.636 * [taylor]: Taking taylor expansion of y in y 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.636 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [taylor]: Taking taylor expansion of 0 in y 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify (* 1 1) into 1 5.637 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.637 * [backup-simplify]: Simplify (+ 1 0) into 1 5.637 * [taylor]: Taking taylor expansion of 1 in y 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (* 1 1) into 1 5.638 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.639 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.639 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [taylor]: Taking taylor expansion of 0 in y 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.641 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.641 * [backup-simplify]: Simplify (+ 0 0) into 0 5.641 * [taylor]: Taking taylor expansion of 0 in y 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 5.642 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 5.642 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.642 * [taylor]: Taking taylor expansion of x in y 5.642 * [backup-simplify]: Simplify x into x 5.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.642 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.642 * [taylor]: Taking taylor expansion of y in y 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (* 1 1) into 1 5.643 * [backup-simplify]: Simplify (/ 1 1) into 1 5.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.643 * [taylor]: Taking taylor expansion of x in x 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (* 1 1) into 1 5.644 * [backup-simplify]: Simplify (/ 1 1) into 1 5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.644 * [taylor]: Taking taylor expansion of y in x 5.644 * [backup-simplify]: Simplify y into y 5.644 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.644 * [taylor]: Taking taylor expansion of x in x 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 1 into 1 5.645 * [backup-simplify]: Simplify (* 1 1) into 1 5.645 * [backup-simplify]: Simplify (/ 1 1) into 1 5.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.645 * [taylor]: Taking taylor expansion of y in x 5.645 * [backup-simplify]: Simplify y into y 5.645 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.645 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.646 * [backup-simplify]: Simplify (+ 1 0) into 1 5.646 * [taylor]: Taking taylor expansion of 1 in y 5.646 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [taylor]: Taking taylor expansion of 0 in y 5.647 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.649 * [taylor]: Taking taylor expansion of y in y 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [backup-simplify]: Simplify (* 1 1) into 1 5.650 * [backup-simplify]: Simplify (/ 1 1) into 1 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [taylor]: Taking taylor expansion of 0 in y 5.652 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.657 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [taylor]: Taking taylor expansion of 0 in y 5.657 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.659 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 5.659 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.659 * [taylor]: Taking taylor expansion of x in y 5.660 * [backup-simplify]: Simplify x into x 5.660 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.660 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.660 * [taylor]: Taking taylor expansion of y in y 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (* 1 1) into 1 5.661 * [backup-simplify]: Simplify (/ 1 1) into 1 5.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.661 * [taylor]: Taking taylor expansion of x in x 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (* 1 1) into 1 5.662 * [backup-simplify]: Simplify (/ 1 1) into 1 5.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.662 * [taylor]: Taking taylor expansion of y in x 5.662 * [backup-simplify]: Simplify y into y 5.662 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.662 * [taylor]: Taking taylor expansion of x in x 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [backup-simplify]: Simplify (* 1 1) into 1 5.663 * [backup-simplify]: Simplify (/ 1 1) into 1 5.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.663 * [taylor]: Taking taylor expansion of y in x 5.663 * [backup-simplify]: Simplify y into y 5.663 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.664 * [backup-simplify]: Simplify (+ 1 0) into 1 5.664 * [taylor]: Taking taylor expansion of 1 in y 5.664 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (+ 0 0) into 0 5.665 * [taylor]: Taking taylor expansion of 0 in y 5.665 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.667 * [taylor]: Taking taylor expansion of y in y 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (* 1 1) into 1 5.668 * [backup-simplify]: Simplify (/ 1 1) into 1 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.671 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [taylor]: Taking taylor expansion of 0 in y 5.671 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [taylor]: Taking taylor expansion of 0 in y 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.678 * * * [progress]: simplifying candidates 5.680 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (* (* (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) 1) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (* x x) (* y y))))) (+ (log (- x y)) (log (/ (+ x y) (+ (* 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 x) (* y y))) (/ (+ x y) (+ (* x x) (* y 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)))))) (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))))) (* (- (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) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x 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))))) (* (cbrt (- 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)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y 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)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 5.684 * * [simplify]: Extracting # 0 : cost 0 5.684 * * [simplify]: Extracting # 1 : cost 0 5.684 * * [simplify]: Extracting # 2 : cost 0 5.685 * * [simplify]: Extracting # 3 : cost 0 5.685 * * [simplify]: Extracting # 4 : cost 0 5.685 * * [simplify]: Extracting # 5 : cost 0 5.685 * * [simplify]: Extracting # 6 : cost 0 5.685 * * [simplify]: iteration 0 : 133 enodes (cost 1685 ) 5.743 * * [simplify]: Extracting # 0 : cost 0 5.744 * * [simplify]: Extracting # 1 : cost 0 5.745 * * [simplify]: Extracting # 2 : cost 0 5.746 * * [simplify]: Extracting # 3 : cost 0 5.746 * * [simplify]: Extracting # 4 : cost 0 5.747 * * [simplify]: iteration 1 : 374 enodes (cost 1626 ) 5.956 * * [simplify]: Extracting # 0 : cost 0 5.957 * * [simplify]: Extracting # 1 : cost 0 5.959 * * [simplify]: Extracting # 2 : cost 0 5.961 * * [simplify]: Extracting # 3 : cost 0 5.965 * * [simplify]: Extracting # 4 : cost 0 5.967 * * [simplify]: iteration 2 : 1536 enodes (cost 1452 ) 7.110 * * [simplify]: Extracting # 0 : cost 0 7.130 * * [simplify]: Extracting # 1 : cost 0 7.140 * * [simplify]: Extracting # 2 : cost 0 7.151 * * [simplify]: Extracting # 3 : cost 0 7.161 * * [simplify]: Extracting # 4 : cost 0 7.172 * * [simplify]: iteration done: 5000 enodes (cost 1452 ) 7.173 * [simplify]: Simplified to: (log (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ y x) (+ (* y y) (* x x))) 3) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ y x) (+ (* y y) (* x x))) 3) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (cbrt (+ x y))) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 1 (/ (+ y x) (+ (* y y) (* x x))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 1 (/ (+ y x) (+ (* y y) (* x x))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (+ y x) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ y x) (+ (pow x 6) (pow y 6))) (/ (+ y x) (- (pow x 4) (pow y 4))) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y x)))) (* (+ (* x x) (* y y)) (- x y)) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (exp (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (pow (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 3) (pow (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 3) (* (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))))) (pow (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 3) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (* y y)) (+ (* y (+ x y)) (* x x))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ x y)) (- x y)) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) (- x y) (- (* x x) (* y y)) (/ (+ x y) (/ (+ (pow x 6) (pow y 6)) (- x y))) (/ (- (* x x) (* y y)) (- (pow x 4) (pow y 4))) (* (cbrt (- 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)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (- (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y y)))) (exp (+ (* x x) (* 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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) 0 0 0 -1 1 1 (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 7.174 * * * [progress]: adding candidates to table 7.455 * * [progress]: iteration 4 / 4 7.455 * * * [progress]: picking best candidate 7.458 * * * * [pick]: Picked # 7.458 * * * [progress]: localizing error 7.470 * * * [progress]: generating rewritten candidates 7.470 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.539 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.673 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.694 * * * [progress]: generating series expansions 7.695 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.695 * [backup-simplify]: Simplify (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y)))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 7.695 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 7.695 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 7.695 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 7.695 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.695 * [taylor]: Taking taylor expansion of x in y 7.695 * [backup-simplify]: Simplify x into x 7.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.695 * [taylor]: Taking taylor expansion of y in y 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.696 * [taylor]: Taking taylor expansion of x in y 7.696 * [backup-simplify]: Simplify x into x 7.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.696 * [taylor]: Taking taylor expansion of y in y 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.696 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.696 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.696 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.696 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 7.696 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 7.696 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 7.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.697 * [taylor]: Taking taylor expansion of x in x 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.697 * [taylor]: Taking taylor expansion of y in x 7.697 * [backup-simplify]: Simplify y into y 7.697 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.697 * [taylor]: Taking taylor expansion of x in x 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.697 * [taylor]: Taking taylor expansion of y in x 7.697 * [backup-simplify]: Simplify y into y 7.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.697 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.697 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.698 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.698 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 7.698 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 7.698 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 7.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.698 * [taylor]: Taking taylor expansion of x in x 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.698 * [taylor]: Taking taylor expansion of y in x 7.698 * [backup-simplify]: Simplify y into y 7.698 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.698 * [taylor]: Taking taylor expansion of x in x 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.698 * [taylor]: Taking taylor expansion of y in x 7.698 * [backup-simplify]: Simplify y into y 7.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.699 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.699 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.699 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.699 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 7.699 * [taylor]: Taking taylor expansion of -1 in y 7.699 * [backup-simplify]: Simplify -1 into -1 7.699 * [backup-simplify]: Simplify -1 into -1 7.700 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.700 * [backup-simplify]: Simplify (- 0) into 0 7.701 * [backup-simplify]: Simplify (+ 0 0) into 0 7.701 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.701 * [backup-simplify]: Simplify (+ 0 0) into 0 7.701 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 7.701 * [taylor]: Taking taylor expansion of 0 in y 7.701 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify (* 1 1) into 1 7.702 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.703 * [backup-simplify]: Simplify (- 0) into 0 7.703 * [backup-simplify]: Simplify (+ 1 0) into 1 7.703 * [backup-simplify]: Simplify (* 1 1) into 1 7.704 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.708 * [backup-simplify]: Simplify (+ 1 0) into 1 7.708 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 7.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.708 * [taylor]: Taking taylor expansion of 2 in y 7.708 * [backup-simplify]: Simplify 2 into 2 7.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.709 * [taylor]: Taking taylor expansion of y in y 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (* 1 1) into 1 7.709 * [backup-simplify]: Simplify (/ 1 1) into 1 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.714 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.715 * [backup-simplify]: Simplify (- 0) into 0 7.715 * [backup-simplify]: Simplify (+ 0 0) into 0 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.717 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [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 7.718 * [taylor]: Taking taylor expansion of 0 in y 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify -1 into -1 7.719 * [backup-simplify]: Simplify (/ (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) (* (+ (/ 1 x) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.719 * [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 7.719 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.719 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.719 * [taylor]: Taking taylor expansion of x in y 7.719 * [backup-simplify]: Simplify x into x 7.719 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.719 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.719 * [taylor]: Taking taylor expansion of y in y 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.720 * [backup-simplify]: Simplify (* 1 1) into 1 7.720 * [backup-simplify]: Simplify (/ 1 1) into 1 7.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.720 * [taylor]: Taking taylor expansion of x in y 7.720 * [backup-simplify]: Simplify x into x 7.720 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.720 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.720 * [taylor]: Taking taylor expansion of y in y 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (* 1 1) into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [backup-simplify]: Simplify (- 1) into -1 7.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.722 * [backup-simplify]: Simplify (+ 0 1) into 1 7.723 * [backup-simplify]: Simplify (/ -1 1) into -1 7.723 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.723 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.723 * [taylor]: Taking taylor expansion of x in x 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 1 into 1 7.723 * [backup-simplify]: Simplify (* 1 1) into 1 7.724 * [backup-simplify]: Simplify (/ 1 1) into 1 7.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.724 * [taylor]: Taking taylor expansion of y in x 7.724 * [backup-simplify]: Simplify y into y 7.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.724 * [taylor]: Taking taylor expansion of x in x 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (* 1 1) into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.725 * [taylor]: Taking taylor expansion of y in x 7.725 * [backup-simplify]: Simplify y into y 7.725 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.725 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.726 * [backup-simplify]: Simplify (+ 1 0) into 1 7.726 * [backup-simplify]: Simplify (+ 1 0) into 1 7.726 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.727 * [taylor]: Taking taylor expansion of x in x 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (* 1 1) into 1 7.727 * [backup-simplify]: Simplify (/ 1 1) into 1 7.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.727 * [taylor]: Taking taylor expansion of y in x 7.727 * [backup-simplify]: Simplify y into y 7.727 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.728 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.728 * [taylor]: Taking taylor expansion of x in x 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (* 1 1) into 1 7.728 * [backup-simplify]: Simplify (/ 1 1) into 1 7.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.729 * [taylor]: Taking taylor expansion of y in x 7.729 * [backup-simplify]: Simplify y into y 7.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.729 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.729 * [backup-simplify]: Simplify (+ 1 0) into 1 7.730 * [backup-simplify]: Simplify (+ 1 0) into 1 7.730 * [backup-simplify]: Simplify (/ 1 1) into 1 7.730 * [taylor]: Taking taylor expansion of 1 in y 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify (+ 0 0) into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.734 * [taylor]: Taking taylor expansion of 0 in y 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.736 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.736 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.738 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.739 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 7.739 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 7.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.739 * [taylor]: Taking taylor expansion of 2 in y 7.739 * [backup-simplify]: Simplify 2 into 2 7.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.739 * [taylor]: Taking taylor expansion of y in y 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.739 * [backup-simplify]: Simplify (* 1 1) into 1 7.740 * [backup-simplify]: Simplify (/ 1 1) into 1 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.743 * [backup-simplify]: Simplify (- 0) into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.746 * [backup-simplify]: Simplify (- 0) into 0 7.746 * [backup-simplify]: Simplify (+ 0 0) into 0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.749 * [backup-simplify]: Simplify (+ 0 0) into 0 7.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 7.750 * [taylor]: Taking taylor expansion of 0 in y 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (/ (* (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.752 * [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 7.752 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.752 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.752 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.752 * [taylor]: Taking taylor expansion of x in y 7.752 * [backup-simplify]: Simplify x into x 7.752 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.752 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.752 * [taylor]: Taking taylor expansion of y in y 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.752 * [backup-simplify]: Simplify (* 1 1) into 1 7.753 * [backup-simplify]: Simplify (/ 1 1) into 1 7.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.753 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.753 * [taylor]: Taking taylor expansion of x in y 7.753 * [backup-simplify]: Simplify x into x 7.753 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.753 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.753 * [taylor]: Taking taylor expansion of y in y 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (* 1 1) into 1 7.754 * [backup-simplify]: Simplify (/ 1 1) into 1 7.754 * [backup-simplify]: Simplify (- 1) into -1 7.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.755 * [backup-simplify]: Simplify (+ 0 1) into 1 7.755 * [backup-simplify]: Simplify (/ -1 1) into -1 7.755 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.756 * [taylor]: Taking taylor expansion of x in x 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (* 1 1) into 1 7.756 * [backup-simplify]: Simplify (/ 1 1) into 1 7.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.756 * [taylor]: Taking taylor expansion of y in x 7.756 * [backup-simplify]: Simplify y into y 7.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.757 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.757 * [taylor]: Taking taylor expansion of x in x 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (* 1 1) into 1 7.757 * [backup-simplify]: Simplify (/ 1 1) into 1 7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.757 * [taylor]: Taking taylor expansion of y in x 7.757 * [backup-simplify]: Simplify y into y 7.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.758 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.758 * [backup-simplify]: Simplify (+ 1 0) into 1 7.758 * [backup-simplify]: Simplify (+ 1 0) into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.758 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.758 * [taylor]: Taking taylor expansion of x in x 7.758 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1 1) into 1 7.759 * [backup-simplify]: Simplify (/ 1 1) into 1 7.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.759 * [taylor]: Taking taylor expansion of y in x 7.759 * [backup-simplify]: Simplify y into y 7.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.759 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.759 * [taylor]: Taking taylor expansion of x in x 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (* 1 1) into 1 7.760 * [backup-simplify]: Simplify (/ 1 1) into 1 7.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.760 * [taylor]: Taking taylor expansion of y in x 7.760 * [backup-simplify]: Simplify y into y 7.760 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.760 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.760 * [backup-simplify]: Simplify (+ 1 0) into 1 7.760 * [backup-simplify]: Simplify (+ 1 0) into 1 7.761 * [backup-simplify]: Simplify (/ 1 1) into 1 7.761 * [taylor]: Taking taylor expansion of 1 in y 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 0) into 0 7.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (+ 0 0) into 0 7.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.763 * [taylor]: Taking taylor expansion of 0 in y 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.765 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.766 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 7.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 7.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.766 * [taylor]: Taking taylor expansion of 2 in y 7.767 * [backup-simplify]: Simplify 2 into 2 7.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.767 * [taylor]: Taking taylor expansion of y in y 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 1 into 1 7.767 * [backup-simplify]: Simplify (* 1 1) into 1 7.767 * [backup-simplify]: Simplify (/ 1 1) into 1 7.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.770 * [backup-simplify]: Simplify (- 0) into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.771 * [backup-simplify]: Simplify (- 0) into 0 7.771 * [backup-simplify]: Simplify (+ 0 0) into 0 7.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.773 * [backup-simplify]: Simplify (+ 0 0) into 0 7.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 7.774 * [taylor]: Taking taylor expansion of 0 in y 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.774 * [backup-simplify]: Simplify (* (+ x y) (+ (* x x) (* y y))) into (* (+ (pow x 2) (pow y 2)) (+ x y)) 7.774 * [approximate]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 7.774 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in y 7.774 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.774 * [taylor]: Taking taylor expansion of x in y 7.774 * [backup-simplify]: Simplify x into x 7.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.774 * [taylor]: Taking taylor expansion of y in y 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [taylor]: Taking taylor expansion of (+ x y) in y 7.774 * [taylor]: Taking taylor expansion of x in y 7.774 * [backup-simplify]: Simplify x into x 7.774 * [taylor]: Taking taylor expansion of y in y 7.774 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in x 7.775 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.775 * [taylor]: Taking taylor expansion of x in x 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.775 * [taylor]: Taking taylor expansion of y in x 7.775 * [backup-simplify]: Simplify y into y 7.775 * [taylor]: Taking taylor expansion of (+ x y) in x 7.775 * [taylor]: Taking taylor expansion of x in x 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [taylor]: Taking taylor expansion of y in x 7.775 * [backup-simplify]: Simplify y into y 7.775 * [taylor]: Taking taylor expansion of (* (+ (pow x 2) (pow y 2)) (+ x y)) in x 7.775 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.775 * [taylor]: Taking taylor expansion of x in x 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.775 * [taylor]: Taking taylor expansion of y in x 7.775 * [backup-simplify]: Simplify y into y 7.775 * [taylor]: Taking taylor expansion of (+ x y) in x 7.775 * [taylor]: Taking taylor expansion of x in x 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [taylor]: Taking taylor expansion of y in x 7.775 * [backup-simplify]: Simplify y into y 7.775 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.775 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.775 * [backup-simplify]: Simplify (+ 0 y) into y 7.775 * [backup-simplify]: Simplify (* (pow y 2) y) into (pow y 3) 7.775 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.775 * [taylor]: Taking taylor expansion of y in y 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.776 * [backup-simplify]: Simplify (+ 1 0) into 1 7.776 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.776 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (* 0 y)) into (pow y 2) 7.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.776 * [taylor]: Taking taylor expansion of y in y 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (* 1 1) into 1 7.777 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.777 * [backup-simplify]: Simplify (+ 1 0) into 1 7.778 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (* 1 y))) into y 7.778 * [taylor]: Taking taylor expansion of y in y 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify (+ 0 0) into 0 7.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.779 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.779 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (* 0 y)))) into 1 7.779 * [taylor]: Taking taylor expansion of 1 in y 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (* 1 1) into 1 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [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))) 7.781 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.781 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.781 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.781 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.781 * [taylor]: Taking taylor expansion of y in y 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (/ 1 1) into 1 7.781 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.782 * [taylor]: Taking taylor expansion of x in y 7.782 * [backup-simplify]: Simplify x into x 7.782 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.782 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.782 * [taylor]: Taking taylor expansion of x in y 7.782 * [backup-simplify]: Simplify x into x 7.782 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.782 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.782 * [taylor]: Taking taylor expansion of y in y 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (* 1 1) into 1 7.783 * [backup-simplify]: Simplify (/ 1 1) into 1 7.783 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.783 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.783 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.783 * [taylor]: Taking taylor expansion of y in x 7.783 * [backup-simplify]: Simplify y into y 7.783 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.783 * [taylor]: Taking taylor expansion of x in x 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 1 into 1 7.784 * [backup-simplify]: Simplify (/ 1 1) into 1 7.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.784 * [taylor]: Taking taylor expansion of x in x 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [backup-simplify]: Simplify (* 1 1) into 1 7.784 * [backup-simplify]: Simplify (/ 1 1) into 1 7.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.785 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.785 * [taylor]: Taking taylor expansion of y in x 7.785 * [backup-simplify]: Simplify y into y 7.785 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.785 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.785 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.785 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.785 * [taylor]: Taking taylor expansion of y in x 7.785 * [backup-simplify]: Simplify y into y 7.785 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.785 * [taylor]: Taking taylor expansion of x in x 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (/ 1 1) into 1 7.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.786 * [taylor]: Taking taylor expansion of x in x 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (* 1 1) into 1 7.786 * [backup-simplify]: Simplify (/ 1 1) into 1 7.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.787 * [taylor]: Taking taylor expansion of y in x 7.787 * [backup-simplify]: Simplify y into y 7.787 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.787 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.787 * [backup-simplify]: Simplify (+ 0 1) into 1 7.788 * [backup-simplify]: Simplify (+ 1 0) into 1 7.788 * [backup-simplify]: Simplify (* 1 1) into 1 7.788 * [taylor]: Taking taylor expansion of 1 in y 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.789 * [backup-simplify]: Simplify (+ 0 0) into 0 7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.790 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.790 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 7.790 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.790 * [taylor]: Taking taylor expansion of y in y 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (/ 1 1) into 1 7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (/ 1 (pow y 2)) 7.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.793 * [taylor]: Taking taylor expansion of y in y 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (* 1 1) into 1 7.793 * [backup-simplify]: Simplify (/ 1 1) into 1 7.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.795 * [backup-simplify]: Simplify (+ 0 0) into 0 7.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (+ 0 0) into 0 7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y 3)) 7.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.797 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.797 * [taylor]: Taking taylor expansion of y in y 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [backup-simplify]: Simplify (* 1 1) into 1 7.797 * [backup-simplify]: Simplify (* 1 1) into 1 7.797 * [backup-simplify]: Simplify (/ 1 1) into 1 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [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))) 7.798 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 7.798 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 7.798 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 7.798 * [taylor]: Taking taylor expansion of -1 in y 7.798 * [backup-simplify]: Simplify -1 into -1 7.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.798 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.799 * [taylor]: Taking taylor expansion of y in y 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.799 * [taylor]: Taking taylor expansion of x in y 7.799 * [backup-simplify]: Simplify x into x 7.799 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.799 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.799 * [taylor]: Taking taylor expansion of x in y 7.799 * [backup-simplify]: Simplify x into x 7.799 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.799 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.799 * [taylor]: Taking taylor expansion of y in y 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (* 1 1) into 1 7.800 * [backup-simplify]: Simplify (/ 1 1) into 1 7.800 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 7.800 * [taylor]: Taking taylor expansion of -1 in x 7.800 * [backup-simplify]: Simplify -1 into -1 7.800 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.800 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.800 * [taylor]: Taking taylor expansion of y in x 7.800 * [backup-simplify]: Simplify y into y 7.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.800 * [taylor]: Taking taylor expansion of x in x 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.800 * [backup-simplify]: Simplify (/ 1 1) into 1 7.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.800 * [taylor]: Taking taylor expansion of x in x 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.801 * [backup-simplify]: Simplify (* 1 1) into 1 7.801 * [backup-simplify]: Simplify (/ 1 1) into 1 7.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.801 * [taylor]: Taking taylor expansion of y in x 7.801 * [backup-simplify]: Simplify y into y 7.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.801 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 7.801 * [taylor]: Taking taylor expansion of -1 in x 7.801 * [backup-simplify]: Simplify -1 into -1 7.801 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.801 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.801 * [taylor]: Taking taylor expansion of y in x 7.801 * [backup-simplify]: Simplify y into y 7.801 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.801 * [taylor]: Taking taylor expansion of x in x 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify 1 into 1 7.801 * [backup-simplify]: Simplify (/ 1 1) into 1 7.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.802 * [taylor]: Taking taylor expansion of x in x 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify 1 into 1 7.802 * [backup-simplify]: Simplify (* 1 1) into 1 7.802 * [backup-simplify]: Simplify (/ 1 1) into 1 7.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.802 * [taylor]: Taking taylor expansion of y in x 7.802 * [backup-simplify]: Simplify y into y 7.802 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.802 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.803 * [backup-simplify]: Simplify (+ 0 1) into 1 7.803 * [backup-simplify]: Simplify (+ 1 0) into 1 7.803 * [backup-simplify]: Simplify (* 1 1) into 1 7.803 * [backup-simplify]: Simplify (* -1 1) into -1 7.804 * [taylor]: Taking taylor expansion of -1 in y 7.804 * [backup-simplify]: Simplify -1 into -1 7.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.805 * [backup-simplify]: Simplify (+ 0 0) into 0 7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.805 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.805 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 7.806 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 7.806 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.806 * [taylor]: Taking taylor expansion of y in y 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify (+ 0 0) into 0 7.808 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (/ 1 (pow y 2)) 7.809 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 7.809 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.809 * [taylor]: Taking taylor expansion of y in y 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (* 1 1) into 1 7.809 * [backup-simplify]: Simplify (/ 1 1) into 1 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.811 * [backup-simplify]: Simplify (+ 0 0) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.812 * [backup-simplify]: Simplify (+ 0 0) into 0 7.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y 3)) 7.813 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 3))) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 7.813 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 7.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.813 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.813 * [taylor]: Taking taylor expansion of y in y 7.813 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify 1 into 1 7.813 * [backup-simplify]: Simplify (* 1 1) into 1 7.814 * [backup-simplify]: Simplify (* 1 1) into 1 7.814 * [backup-simplify]: Simplify (/ 1 1) into 1 7.814 * [backup-simplify]: Simplify (- 1) into -1 7.814 * [backup-simplify]: Simplify -1 into -1 7.814 * [backup-simplify]: Simplify (- 1) into -1 7.814 * [backup-simplify]: Simplify -1 into -1 7.815 * [backup-simplify]: Simplify (- 1) into -1 7.815 * [backup-simplify]: Simplify -1 into -1 7.815 * [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))) 7.815 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.816 * [backup-simplify]: Simplify (* (- (* x x) (* y y)) (+ x y)) into (* (- (pow x 2) (pow y 2)) (+ x y)) 7.816 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 7.816 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 7.816 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 7.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.816 * [taylor]: Taking taylor expansion of x in y 7.816 * [backup-simplify]: Simplify x into x 7.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.816 * [taylor]: Taking taylor expansion of y in y 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of (+ x y) in y 7.816 * [taylor]: Taking taylor expansion of x in y 7.816 * [backup-simplify]: Simplify x into x 7.816 * [taylor]: Taking taylor expansion of y in y 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 7.816 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 7.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.816 * [taylor]: Taking taylor expansion of x in x 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.816 * [taylor]: Taking taylor expansion of y in x 7.816 * [backup-simplify]: Simplify y into y 7.816 * [taylor]: Taking taylor expansion of (+ x y) in x 7.816 * [taylor]: Taking taylor expansion of x in x 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of y in x 7.816 * [backup-simplify]: Simplify y into y 7.816 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 7.816 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 7.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.816 * [taylor]: Taking taylor expansion of x in x 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.816 * [taylor]: Taking taylor expansion of y in x 7.816 * [backup-simplify]: Simplify y into y 7.816 * [taylor]: Taking taylor expansion of (+ x y) in x 7.816 * [taylor]: Taking taylor expansion of x in x 7.816 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 1 into 1 7.817 * [taylor]: Taking taylor expansion of y in x 7.817 * [backup-simplify]: Simplify y into y 7.817 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.817 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.817 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.817 * [backup-simplify]: Simplify (+ 0 y) into y 7.817 * [backup-simplify]: Simplify (* (- (pow y 2)) y) into (* -1 (pow y 3)) 7.817 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 7.817 * [taylor]: Taking taylor expansion of -1 in y 7.817 * [backup-simplify]: Simplify -1 into -1 7.817 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.817 * [taylor]: Taking taylor expansion of y in y 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 1 into 1 7.818 * [backup-simplify]: Simplify (+ 1 0) into 1 7.818 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.819 * [backup-simplify]: Simplify (- 0) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.819 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (* 0 y)) into (- (pow y 2)) 7.819 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.819 * [taylor]: Taking taylor expansion of y in y 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (+ 0 0) into 0 7.820 * [backup-simplify]: Simplify (* 1 1) into 1 7.827 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.828 * [backup-simplify]: Simplify (+ 1 0) into 1 7.829 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 1) (* 1 y))) into y 7.829 * [taylor]: Taking taylor expansion of y in y 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.831 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.831 * [backup-simplify]: Simplify (- 0) into 0 7.831 * [backup-simplify]: Simplify (+ 0 0) into 0 7.832 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 0) (+ (* 1 1) (* 0 y)))) into 1 7.832 * [taylor]: Taking taylor expansion of 1 in y 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (* 1 1) into 1 7.833 * [backup-simplify]: Simplify (- 1) into -1 7.833 * [backup-simplify]: Simplify -1 into -1 7.834 * [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))) 7.834 * [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))) 7.834 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 7.834 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 7.835 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.835 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.835 * [taylor]: Taking taylor expansion of x in y 7.835 * [backup-simplify]: Simplify x into x 7.835 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.835 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.835 * [taylor]: Taking taylor expansion of y in y 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [backup-simplify]: Simplify (* 1 1) into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.836 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.836 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.836 * [taylor]: Taking taylor expansion of y in y 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.836 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.836 * [taylor]: Taking taylor expansion of x in y 7.836 * [backup-simplify]: Simplify x into x 7.837 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.837 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 7.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.837 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (* 1 1) into 1 7.837 * [backup-simplify]: Simplify (/ 1 1) into 1 7.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.838 * [taylor]: Taking taylor expansion of y in x 7.838 * [backup-simplify]: Simplify y into y 7.838 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.838 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.838 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.838 * [taylor]: Taking taylor expansion of y in x 7.838 * [backup-simplify]: Simplify y into y 7.838 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.838 * [taylor]: Taking taylor expansion of x in x 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (/ 1 1) into 1 7.839 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 7.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.839 * [taylor]: Taking taylor expansion of x in x 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (* 1 1) into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.840 * [taylor]: Taking taylor expansion of y in x 7.840 * [backup-simplify]: Simplify y into y 7.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.840 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.840 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.840 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.840 * [taylor]: Taking taylor expansion of y in x 7.840 * [backup-simplify]: Simplify y into y 7.840 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.840 * [taylor]: Taking taylor expansion of x in x 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (/ 1 1) into 1 7.841 * [backup-simplify]: Simplify (+ 1 0) into 1 7.842 * [backup-simplify]: Simplify (+ 0 1) into 1 7.842 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [taylor]: Taking taylor expansion of 1 in y 7.842 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.843 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.845 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 7.845 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.845 * [taylor]: Taking taylor expansion of y in y 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.847 * [backup-simplify]: Simplify (+ 0 0) into 0 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.849 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) 1))) into (- (/ 1 (pow y 2))) 7.849 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.849 * [taylor]: Taking taylor expansion of y in y 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 1 into 1 7.849 * [backup-simplify]: Simplify (* 1 1) into 1 7.850 * [backup-simplify]: Simplify (/ 1 1) into 1 7.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (+ 0 0) into 0 7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.852 * [backup-simplify]: Simplify (- 0) into 0 7.852 * [backup-simplify]: Simplify (+ 0 0) into 0 7.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 7.853 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.853 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.853 * [taylor]: Taking taylor expansion of y in y 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.854 * [backup-simplify]: Simplify (* 1 1) into 1 7.854 * [backup-simplify]: Simplify (* 1 1) into 1 7.854 * [backup-simplify]: Simplify (/ 1 1) into 1 7.854 * [backup-simplify]: Simplify (- 1) into -1 7.854 * [backup-simplify]: Simplify -1 into -1 7.855 * [backup-simplify]: Simplify (- 1) into -1 7.855 * [backup-simplify]: Simplify -1 into -1 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [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))) 7.855 * [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)))) 7.855 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 7.855 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 7.855 * [taylor]: Taking taylor expansion of -1 in y 7.855 * [backup-simplify]: Simplify -1 into -1 7.855 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 7.856 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.856 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.856 * [taylor]: Taking taylor expansion of x in y 7.856 * [backup-simplify]: Simplify x into x 7.856 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.856 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.856 * [taylor]: Taking taylor expansion of y in y 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (* 1 1) into 1 7.856 * [backup-simplify]: Simplify (/ 1 1) into 1 7.856 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.856 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.856 * [taylor]: Taking taylor expansion of y in y 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (/ 1 1) into 1 7.857 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.857 * [taylor]: Taking taylor expansion of x in y 7.857 * [backup-simplify]: Simplify x into x 7.857 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.857 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 7.857 * [taylor]: Taking taylor expansion of -1 in x 7.857 * [backup-simplify]: Simplify -1 into -1 7.857 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 7.857 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.857 * [taylor]: Taking taylor expansion of x in x 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (* 1 1) into 1 7.857 * [backup-simplify]: Simplify (/ 1 1) into 1 7.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.857 * [taylor]: Taking taylor expansion of y in x 7.857 * [backup-simplify]: Simplify y into y 7.857 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.858 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.858 * [taylor]: Taking taylor expansion of y in x 7.858 * [backup-simplify]: Simplify y into y 7.858 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.858 * [taylor]: Taking taylor expansion of x in x 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (/ 1 1) into 1 7.858 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 7.858 * [taylor]: Taking taylor expansion of -1 in x 7.858 * [backup-simplify]: Simplify -1 into -1 7.858 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 7.858 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.858 * [taylor]: Taking taylor expansion of x in x 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (* 1 1) into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.859 * [taylor]: Taking taylor expansion of y in x 7.859 * [backup-simplify]: Simplify y into y 7.859 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.859 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.859 * [taylor]: Taking taylor expansion of y in x 7.859 * [backup-simplify]: Simplify y into y 7.859 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.859 * [taylor]: Taking taylor expansion of x in x 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.860 * [backup-simplify]: Simplify (+ 1 0) into 1 7.860 * [backup-simplify]: Simplify (+ 0 1) into 1 7.860 * [backup-simplify]: Simplify (* 1 1) into 1 7.861 * [backup-simplify]: Simplify (* -1 1) into -1 7.861 * [taylor]: Taking taylor expansion of -1 in y 7.861 * [backup-simplify]: Simplify -1 into -1 7.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.864 * [backup-simplify]: Simplify (+ 0 0) into 0 7.864 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 7.865 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 7.865 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.865 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.865 * [taylor]: Taking taylor expansion of y in y 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (+ 0 0) into 0 7.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.869 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) 1))) into (- (/ 1 (pow y 2))) 7.870 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 7.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.870 * [taylor]: Taking taylor expansion of y in y 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (* 1 1) into 1 7.871 * [backup-simplify]: Simplify (/ 1 1) into 1 7.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (+ 0 0) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.874 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.875 * [backup-simplify]: Simplify (- 0) into 0 7.875 * [backup-simplify]: Simplify (+ 0 0) into 0 7.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 7.878 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 3)))) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1)))) into (/ 1 (pow y 3)) 7.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.878 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.878 * [taylor]: Taking taylor expansion of y in y 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.878 * [backup-simplify]: Simplify (* 1 1) into 1 7.879 * [backup-simplify]: Simplify (* 1 1) into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (- 1) into -1 7.880 * [backup-simplify]: Simplify -1 into -1 7.881 * [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))) 7.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.881 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 7.881 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 7.881 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 7.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.881 * [taylor]: Taking taylor expansion of x in y 7.881 * [backup-simplify]: Simplify x into x 7.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.881 * [taylor]: Taking taylor expansion of y in y 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 7.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.881 * [taylor]: Taking taylor expansion of x in x 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.881 * [taylor]: Taking taylor expansion of y in x 7.881 * [backup-simplify]: Simplify y into y 7.882 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 7.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.882 * [taylor]: Taking taylor expansion of x in x 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.882 * [taylor]: Taking taylor expansion of y in x 7.882 * [backup-simplify]: Simplify y into y 7.882 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.882 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.882 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.882 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.882 * [taylor]: Taking taylor expansion of y in y 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.883 * [backup-simplify]: Simplify (- 0) into 0 7.883 * [backup-simplify]: Simplify (+ 0 0) into 0 7.883 * [taylor]: Taking taylor expansion of 0 in y 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify (* 1 1) into 1 7.884 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.885 * [backup-simplify]: Simplify (- 0) into 0 7.885 * [backup-simplify]: Simplify (+ 1 0) into 1 7.885 * [taylor]: Taking taylor expansion of 1 in y 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify (* 1 1) into 1 7.886 * [backup-simplify]: Simplify (- 1) into -1 7.886 * [backup-simplify]: Simplify -1 into -1 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.887 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.888 * [backup-simplify]: Simplify (- 0) into 0 7.888 * [backup-simplify]: Simplify (+ 0 0) into 0 7.888 * [taylor]: Taking taylor expansion of 0 in y 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.889 * [backup-simplify]: Simplify (- 0) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.890 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.890 * [backup-simplify]: Simplify (- 0) into 0 7.890 * [backup-simplify]: Simplify (+ 0 0) into 0 7.890 * [taylor]: Taking taylor expansion of 0 in y 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 7.891 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 7.891 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 7.891 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.891 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.891 * [taylor]: Taking taylor expansion of x in y 7.891 * [backup-simplify]: Simplify x into x 7.891 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.891 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.891 * [taylor]: Taking taylor expansion of y in y 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.891 * [backup-simplify]: Simplify (* 1 1) into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.892 * [taylor]: Taking taylor expansion of x in x 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (* 1 1) into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.892 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.892 * [taylor]: Taking taylor expansion of y in x 7.892 * [backup-simplify]: Simplify y into y 7.892 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.892 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.892 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.892 * [taylor]: Taking taylor expansion of x in x 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (* 1 1) into 1 7.893 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.893 * [taylor]: Taking taylor expansion of y in x 7.893 * [backup-simplify]: Simplify y into y 7.893 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.893 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.893 * [backup-simplify]: Simplify (+ 1 0) into 1 7.894 * [taylor]: Taking taylor expansion of 1 in y 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.895 * [taylor]: Taking taylor expansion of 0 in y 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.896 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.896 * [taylor]: Taking taylor expansion of y in y 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [backup-simplify]: Simplify (* 1 1) into 1 7.897 * [backup-simplify]: Simplify (/ 1 1) into 1 7.897 * [backup-simplify]: Simplify (- 1) into -1 7.897 * [backup-simplify]: Simplify -1 into -1 7.897 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.900 * [backup-simplify]: Simplify (- 0) into 0 7.900 * [backup-simplify]: Simplify (+ 0 0) into 0 7.900 * [taylor]: Taking taylor expansion of 0 in y 7.900 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (- 0) into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.906 * [backup-simplify]: Simplify (- 0) into 0 7.906 * [backup-simplify]: Simplify (+ 0 0) into 0 7.906 * [taylor]: Taking taylor expansion of 0 in y 7.906 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (- 0) into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 7.909 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 7.909 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 7.909 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.909 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.909 * [taylor]: Taking taylor expansion of x in y 7.909 * [backup-simplify]: Simplify x into x 7.909 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.909 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.910 * [taylor]: Taking taylor expansion of y in y 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (* 1 1) into 1 7.910 * [backup-simplify]: Simplify (/ 1 1) into 1 7.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.910 * [taylor]: Taking taylor expansion of x in x 7.910 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (* 1 1) into 1 7.911 * [backup-simplify]: Simplify (/ 1 1) into 1 7.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.911 * [taylor]: Taking taylor expansion of y in x 7.911 * [backup-simplify]: Simplify y into y 7.911 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.912 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.912 * [taylor]: Taking taylor expansion of x in x 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (* 1 1) into 1 7.912 * [backup-simplify]: Simplify (/ 1 1) into 1 7.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.913 * [taylor]: Taking taylor expansion of y in x 7.913 * [backup-simplify]: Simplify y into y 7.913 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.913 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.913 * [backup-simplify]: Simplify (+ 1 0) into 1 7.913 * [taylor]: Taking taylor expansion of 1 in y 7.913 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ 0 0) into 0 7.915 * [taylor]: Taking taylor expansion of 0 in y 7.915 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.917 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.917 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.917 * [taylor]: Taking taylor expansion of y in y 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (* 1 1) into 1 7.918 * [backup-simplify]: Simplify (/ 1 1) into 1 7.919 * [backup-simplify]: Simplify (- 1) into -1 7.919 * [backup-simplify]: Simplify -1 into -1 7.919 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.921 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [taylor]: Taking taylor expansion of 0 in y 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (- 0) into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.927 * [backup-simplify]: Simplify (- 0) into 0 7.927 * [backup-simplify]: Simplify (+ 0 0) into 0 7.927 * [taylor]: Taking taylor expansion of 0 in y 7.927 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 7.930 * * * [progress]: simplifying candidates 7.933 * [simplify]: Simplifying: (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (+ (log (+ x y)) (log (+ (* x x) (* y y))))) (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (+ x y) (+ (* x x) (* y y))))) (- (log (* (- (* x x) (* y y)) (+ x y))) (+ (log (+ x y)) (log (+ (* x x) (* y y))))) (- (log (* (- (* x x) (* y y)) (+ x y))) (log (* (+ x y) (+ (* x x) (* y y))))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))))) (/ (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (/ (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (+ x y) (+ (* x 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 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2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 7.936 * * [simplify]: Extracting # 0 : cost 0 7.936 * * [simplify]: Extracting # 1 : cost 0 7.936 * * [simplify]: Extracting # 2 : cost 0 7.936 * * [simplify]: Extracting # 3 : cost 0 7.936 * * [simplify]: Extracting # 4 : cost 0 7.936 * * [simplify]: Extracting # 5 : cost 0 7.937 * * [simplify]: Extracting # 6 : cost 0 7.937 * * [simplify]: Extracting # 7 : cost 0 7.937 * * [simplify]: Extracting # 8 : cost 0 7.937 * * [simplify]: iteration 0 : 169 enodes (cost 2616 ) 8.003 * * [simplify]: Extracting # 0 : cost 0 8.003 * * [simplify]: Extracting # 1 : cost 0 8.004 * * [simplify]: Extracting # 2 : cost 0 8.005 * * [simplify]: Extracting # 3 : cost 0 8.006 * * [simplify]: Extracting # 4 : cost 0 8.006 * * [simplify]: Extracting # 5 : cost 0 8.007 * * [simplify]: iteration 1 : 616 enodes (cost 2481 ) 8.705 * * [simplify]: Extracting # 0 : cost 0 8.715 * * [simplify]: Extracting # 1 : cost 0 8.724 * * [simplify]: Extracting # 2 : cost 0 8.733 * * [simplify]: Extracting # 3 : cost 0 8.745 * * [simplify]: Extracting # 4 : cost 0 8.753 * * [simplify]: Extracting # 5 : cost 0 8.761 * * [simplify]: iteration 2 : 3993 enodes (cost 1803 ) 10.438 * * [simplify]: Extracting # 0 : cost 0 10.444 * * [simplify]: Extracting # 1 : cost 0 10.458 * * [simplify]: Extracting # 2 : cost 0 10.463 * * [simplify]: iteration done: 5000 enodes (cost 1789 ) 10.464 * [simplify]: Simplified to: (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (exp (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) 3) (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) 3) (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) 3) (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) 3) (* (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ x 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y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 10.465 * * * [progress]: adding candidates to table 10.821 * [progress]: [Phase 3 of 3] Extracting. 10.821 * * [regime]: Finding splitpoints for: (# # # #) 10.822 * * * [regime-changes]: Trying 2 branch expressions: (y x) 10.822 * * * * [regimes]: Trying to branch on y from (# # # #) 10.876 * * * * [regimes]: Trying to branch on x from (# # # #) 10.909 * * * [regime]: Found split indices: #