32.076 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.033 * * [simplify]: iteration 0: 4 enodes 0.035 * * [simplify]: iteration 1: 11 enodes 0.037 * * [simplify]: iteration 2: 25 enodes 0.042 * * [simplify]: iteration 3: 53 enodes 0.053 * * [simplify]: iteration 4: 72 enodes 0.072 * * [simplify]: iteration 5: 88 enodes 0.087 * * [simplify]: iteration 6: 97 enodes 0.098 * * [simplify]: iteration 7: 103 enodes 0.105 * * [simplify]: iteration complete: 103 enodes 0.105 * * [simplify]: Extracting #0: cost 1 inf + 0 0.105 * * [simplify]: Extracting #1: cost 12 inf + 0 0.105 * * [simplify]: Extracting #2: cost 19 inf + 0 0.106 * * [simplify]: Extracting #3: cost 16 inf + 3 0.106 * * [simplify]: Extracting #4: cost 1 inf + 1149 0.106 * * [simplify]: Extracting #5: cost 0 inf + 1271 0.107 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.107 * * [progress]: iteration 1 / 4 0.107 * * * [progress]: picking best candidate 0.110 * * * * [pick]: Picked # 0.110 * * * [progress]: localizing error 0.115 * * * [progress]: generating rewritten candidates 0.115 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.145 * * * [progress]: generating series expansions 0.145 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.146 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.146 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.146 * [taylor]: Taking taylor expansion of (+ x y) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [backup-simplify]: Simplify x into x 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ x 0) into x 0.146 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.146 * [taylor]: Taking taylor expansion of (+ x y) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (+ 0 y) into y 0.146 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.146 * [taylor]: Taking taylor expansion of (+ x y) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (+ 0 y) into y 0.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.147 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.147 * [taylor]: Taking taylor expansion of 2 in y 0.147 * [backup-simplify]: Simplify 2 into 2 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 2 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.152 * [backup-simplify]: Simplify 2 into 2 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.153 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.153 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [backup-simplify]: Simplify x into x 0.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.155 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of 1 in y 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.157 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.157 * [taylor]: Taking taylor expansion of 2 in y 0.157 * [backup-simplify]: Simplify 2 into 2 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 2 1) into 2 0.160 * [backup-simplify]: Simplify 2 into 2 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.161 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.161 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.165 * [taylor]: Taking taylor expansion of 2 in y 0.165 * [backup-simplify]: Simplify 2 into 2 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 2 1) into 2 0.169 * [backup-simplify]: Simplify 2 into 2 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.169 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.171 * * [simplify]: iteration 0: 62 enodes 0.193 * * [simplify]: iteration 1: 224 enodes 0.298 * * [simplify]: iteration 2: 793 enodes 0.865 * * [simplify]: iteration 3: 3938 enodes 2.224 * * [simplify]: iteration complete: 5000 enodes 2.224 * * [simplify]: Extracting #0: cost 25 inf + 0 2.231 * * [simplify]: Extracting #1: cost 326 inf + 2 2.234 * * [simplify]: Extracting #2: cost 1201 inf + 3024 2.247 * * [simplify]: Extracting #3: cost 1118 inf + 81934 2.286 * * [simplify]: Extracting #4: cost 243 inf + 246272 2.338 * * [simplify]: Extracting #5: cost 59 inf + 287623 2.390 * * [simplify]: Extracting #6: cost 10 inf + 296537 2.441 * * [simplify]: Extracting #7: cost 0 inf + 299067 2.495 * [simplify]: Simplified to: 2 (* (+ y x) (+ y x)) 2 (log (* (+ y x) (+ y x))) (log (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (fabs (+ y x)) (fabs (+ y x)) (* (+ (* y (* y y)) (* (* x x) x)) (+ (* y (* y y)) (* (* x x) x))) (* (+ (* (- y x) y) (* x x)) (+ (* (- y x) y) (* x x))) (* (- (* x x) (* y y)) (+ (* y (* y y)) (* (* x x) x))) (* (+ (* (- y x) y) (* x x)) (- x y)) (* (- (* x x) (* y y)) (+ (* y (* y y)) (* (* x x) x))) (* (+ (* (- y x) y) (* x x)) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ y x)) (+ y x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (+ y x) (+ y x) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) (+ y x) (+ y x) 2 (* x (+ y x)) (* (+ y x) y) (* x (+ y x)) (* (+ y x) y) (* (+ y x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (sqrt (+ y x)) (+ y x)) (+ y x) (+ y x) (* (cbrt (+ y x)) (+ y x)) (* (sqrt (+ y x)) (+ y x)) (* (+ y x) (+ y x)) (* (+ y x) (+ y x)) (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (* (* (+ y x) (+ y x)) (- x y)) (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (* (* (+ y x) (+ y x)) (- 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))) 2.496 * * * [progress]: adding candidates to table 2.599 * * [progress]: iteration 2 / 4 2.599 * * * [progress]: picking best candidate 2.604 * * * * [pick]: Picked # 2.604 * * * [progress]: localizing error 2.625 * * * [progress]: generating rewritten candidates 2.625 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.681 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.736 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.773 * * * [progress]: generating series expansions 2.773 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.773 * [backup-simplify]: Simplify (/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y))) into (/ (pow (- (pow x 2) (pow y 2)) 2) (pow (- x y) 2)) 2.773 * [approximate]: Taking taylor expansion of (/ (pow (- (pow x 2) (pow y 2)) 2) (pow (- x y) 2)) in (x y) around 0 2.773 * [taylor]: Taking taylor expansion of (/ (pow (- (pow x 2) (pow y 2)) 2) (pow (- x y) 2)) in y 2.773 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in y 2.773 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.773 * [taylor]: Taking taylor expansion of x in y 2.773 * [backup-simplify]: Simplify x into x 2.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.773 * [taylor]: Taking taylor expansion of y in y 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.773 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.773 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in y 2.774 * [taylor]: Taking taylor expansion of (- x y) in y 2.774 * [taylor]: Taking taylor expansion of x in y 2.774 * [backup-simplify]: Simplify x into x 2.774 * [taylor]: Taking taylor expansion of y in y 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.774 * [backup-simplify]: Simplify (+ x 0) into x 2.774 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.774 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.774 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 2.774 * [taylor]: Taking taylor expansion of (/ (pow (- (pow x 2) (pow y 2)) 2) (pow (- x y) 2)) in x 2.774 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in x 2.774 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.775 * [taylor]: Taking taylor expansion of x in x 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.775 * [taylor]: Taking taylor expansion of y in x 2.775 * [backup-simplify]: Simplify y into y 2.775 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.775 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.775 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.775 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 2.775 * [taylor]: Taking taylor expansion of (- x y) in x 2.775 * [taylor]: Taking taylor expansion of x in x 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of y in x 2.775 * [backup-simplify]: Simplify y into y 2.775 * [backup-simplify]: Simplify (- y) into (- y) 2.775 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.775 * [backup-simplify]: Simplify (* (- (pow y 2)) (- (pow y 2))) into (pow y 4) 2.775 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 2.775 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 2.775 * [taylor]: Taking taylor expansion of (/ (pow (- (pow x 2) (pow y 2)) 2) (pow (- x y) 2)) in x 2.775 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in x 2.775 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.775 * [taylor]: Taking taylor expansion of x in x 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.775 * [taylor]: Taking taylor expansion of y in x 2.775 * [backup-simplify]: Simplify y into y 2.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.776 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.776 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.776 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 2.776 * [taylor]: Taking taylor expansion of (- x y) in x 2.776 * [taylor]: Taking taylor expansion of x in x 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [taylor]: Taking taylor expansion of y in x 2.776 * [backup-simplify]: Simplify y into y 2.776 * [backup-simplify]: Simplify (- y) into (- y) 2.776 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.776 * [backup-simplify]: Simplify (* (- (pow y 2)) (- (pow y 2))) into (pow y 4) 2.776 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 2.776 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 2.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.776 * [taylor]: Taking taylor expansion of y in y 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (* 0 (- (pow y 2)))) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.778 * [backup-simplify]: Simplify (+ 1 0) into 1 2.778 * [backup-simplify]: Simplify (+ (* (- y) 1) (* 1 (- y))) into (- (* 2 y)) 2.778 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ (- (* 2 y)) (pow y 2))))) into (* 2 y) 2.778 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.778 * [taylor]: Taking taylor expansion of 2 in y 2.778 * [backup-simplify]: Simplify 2 into 2 2.778 * [taylor]: Taking taylor expansion of y in y 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (* 2 0) into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.779 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.779 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify (+ 1 0) into 1 2.780 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (+ (* 0 0) (* 1 (- (pow y 2))))) into (- (* 2 (pow y 2))) 2.780 * [backup-simplify]: Simplify (- 0) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (+ (* (- y) 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.781 * [backup-simplify]: Simplify (- (/ (- (* 2 (pow y 2))) (pow y 2)) (+ (* (pow y 2) (/ 1 (pow y 2))) (* (* 2 y) (/ (- (* 2 y)) (pow y 2))))) into 1 2.781 * [taylor]: Taking taylor expansion of 1 in y 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.781 * [backup-simplify]: Simplify 2 into 2 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.782 * [backup-simplify]: Simplify (/ (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) into (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 x) (/ 1 y)) 2)) 2.782 * [approximate]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 2.782 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 x) (/ 1 y)) 2)) in y 2.783 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 2.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.783 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.783 * [taylor]: Taking taylor expansion of x in y 2.783 * [backup-simplify]: Simplify x into x 2.783 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.783 * [taylor]: Taking taylor expansion of y in y 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (* 1 1) into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [backup-simplify]: Simplify (- 1) into -1 2.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.784 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in y 2.784 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.784 * [taylor]: Taking taylor expansion of x in y 2.784 * [backup-simplify]: Simplify x into x 2.784 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.784 * [taylor]: Taking taylor expansion of y in y 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (/ 1 1) into 1 2.785 * [backup-simplify]: Simplify (- 1) into -1 2.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.786 * [backup-simplify]: Simplify (* -1 -1) into 1 2.786 * [backup-simplify]: Simplify (* -1 -1) into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 x) (/ 1 y)) 2)) in x 2.786 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.786 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.787 * [backup-simplify]: Simplify (/ 1 1) into 1 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.787 * [taylor]: Taking taylor expansion of y in x 2.787 * [backup-simplify]: Simplify y into y 2.787 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.787 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.788 * [backup-simplify]: Simplify (+ 1 0) into 1 2.788 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 2.788 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.788 * [taylor]: Taking taylor expansion of y in x 2.788 * [backup-simplify]: Simplify y into y 2.789 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.789 * [backup-simplify]: Simplify (+ 1 0) into 1 2.789 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (* 1 1) into 1 2.790 * [backup-simplify]: Simplify (/ 1 1) into 1 2.790 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 x) (/ 1 y)) 2)) in x 2.790 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.790 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (* 1 1) into 1 2.791 * [backup-simplify]: Simplify (/ 1 1) into 1 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.791 * [taylor]: Taking taylor expansion of y in x 2.791 * [backup-simplify]: Simplify y into y 2.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.791 * [backup-simplify]: Simplify (+ 1 0) into 1 2.791 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 2.791 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ 1 1) into 1 2.792 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.792 * [taylor]: Taking taylor expansion of y in x 2.792 * [backup-simplify]: Simplify y into y 2.792 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.792 * [backup-simplify]: Simplify (+ 1 0) into 1 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (/ 1 1) into 1 2.793 * [taylor]: Taking taylor expansion of 1 in y 2.793 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.796 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.796 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 y)) 2.797 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.797 * [taylor]: Taking taylor expansion of 2 in y 2.797 * [backup-simplify]: Simplify 2 into 2 2.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.797 * [taylor]: Taking taylor expansion of y in y 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.799 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.799 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* (- (/ 1 (pow y 2))) 1))) into (- (* 2 (/ 1 (pow y 2)))) 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.800 * [backup-simplify]: Simplify (- 0) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* 0 1))) into (/ 1 (pow y 2)) 2.801 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)))) into (/ 1 (pow y 2)) 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 2 1) into 2 2.802 * [backup-simplify]: Simplify 2 into 2 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.803 * [backup-simplify]: Simplify (/ (* (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) into (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) 2.803 * [approximate]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in (x y) around 0 2.803 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 2.803 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.803 * [taylor]: Taking taylor expansion of x in y 2.803 * [backup-simplify]: Simplify x into x 2.803 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.803 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.803 * [taylor]: Taking taylor expansion of y in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.804 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [backup-simplify]: Simplify (- 1) into -1 2.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.804 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in y 2.804 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.804 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.804 * [taylor]: Taking taylor expansion of y in y 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.805 * [taylor]: Taking taylor expansion of x in y 2.805 * [backup-simplify]: Simplify x into x 2.805 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.805 * [backup-simplify]: Simplify (+ 1 0) into 1 2.805 * [backup-simplify]: Simplify (* -1 -1) into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.806 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.806 * [taylor]: Taking taylor expansion of y in x 2.806 * [backup-simplify]: Simplify y into y 2.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 2.807 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.807 * [taylor]: Taking taylor expansion of y in x 2.807 * [backup-simplify]: Simplify y into y 2.807 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [backup-simplify]: Simplify (- 1) into -1 2.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.808 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (* -1 -1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in x 2.808 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.809 * [taylor]: Taking taylor expansion of y in x 2.809 * [backup-simplify]: Simplify y into y 2.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.810 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.810 * [backup-simplify]: Simplify (+ 1 0) into 1 2.810 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 2.810 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.810 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.810 * [taylor]: Taking taylor expansion of y in x 2.810 * [backup-simplify]: Simplify y into y 2.810 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [backup-simplify]: Simplify (- 1) into -1 2.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.812 * [backup-simplify]: Simplify (* -1 -1) into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [taylor]: Taking taylor expansion of 1 in y 2.812 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.816 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) -1)) into (- (* 2 (/ 1 y))) 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 y)) 2.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.816 * [taylor]: Taking taylor expansion of 2 in y 2.816 * [backup-simplify]: Simplify 2 into 2 2.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.816 * [taylor]: Taking taylor expansion of y in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (/ 1 1) into 1 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.819 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.819 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* (- (/ 1 (pow y 2))) 1))) into (- (* 2 (/ 1 (pow y 2)))) 2.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 2.822 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)))) into (/ 1 (pow y 2)) 2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.822 * [taylor]: Taking taylor expansion of y in y 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (* 2 1) into 2 2.824 * [backup-simplify]: Simplify 2 into 2 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.824 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.825 * [backup-simplify]: Simplify (* (- (* x x) (* y y)) (- (* x x) (* y y))) into (pow (- (pow x 2) (pow y 2)) 2) 2.825 * [approximate]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in (x y) around 0 2.825 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in y 2.825 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.825 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.825 * [taylor]: Taking taylor expansion of x in y 2.825 * [backup-simplify]: Simplify x into x 2.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.825 * [taylor]: Taking taylor expansion of y in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.825 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.825 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in x 2.825 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.825 * [taylor]: Taking taylor expansion of y in x 2.825 * [backup-simplify]: Simplify y into y 2.825 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.826 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.826 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.826 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) (pow y 2)) 2) in x 2.826 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.826 * [taylor]: Taking taylor expansion of y in x 2.826 * [backup-simplify]: Simplify y into y 2.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.826 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.826 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.826 * [backup-simplify]: Simplify (* (- (pow y 2)) (- (pow y 2))) into (pow y 4) 2.827 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.827 * [taylor]: Taking taylor expansion of y in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.827 * [backup-simplify]: Simplify (- 0) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (* 0 (- (pow y 2)))) into 0 2.828 * [taylor]: Taking taylor expansion of 0 in y 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.829 * [backup-simplify]: Simplify (- 0) into 0 2.829 * [backup-simplify]: Simplify (+ 1 0) into 1 2.830 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (+ (* 0 0) (* 1 (- (pow y 2))))) into (- (* 2 (pow y 2))) 2.830 * [taylor]: Taking taylor expansion of (- (* 2 (pow y 2))) in y 2.830 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.830 * [taylor]: Taking taylor expansion of 2 in y 2.830 * [backup-simplify]: Simplify 2 into 2 2.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.830 * [taylor]: Taking taylor expansion of y in y 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.831 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.832 * [backup-simplify]: Simplify (- 0) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (- (pow y 2)))))) into 0 2.833 * [taylor]: Taking taylor expansion of 0 in y 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.835 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.835 * [backup-simplify]: Simplify (- 0) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (- (pow y 2))))))) into 1 2.837 * [taylor]: Taking taylor expansion of 1 in y 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (* 2 1) into 2 2.838 * [backup-simplify]: Simplify (- 2) into -2 2.838 * [backup-simplify]: Simplify -2 into -2 2.838 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 4)) (+ (* -2 (pow (* y x) 2)) (* 1 (pow (* 1 x) 4)))) into (- (+ (pow y 4) (pow x 4)) (* 2 (* (pow x 2) (pow y 2)))) 2.844 * [backup-simplify]: Simplify (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 2.844 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in (x y) around 0 2.844 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 2.844 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.844 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.844 * [taylor]: Taking taylor expansion of x in y 2.844 * [backup-simplify]: Simplify x into x 2.844 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.844 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.844 * [taylor]: Taking taylor expansion of y in y 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (* 1 1) into 1 2.845 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (- 1) into -1 2.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.846 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.846 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.847 * [taylor]: Taking taylor expansion of y in x 2.847 * [backup-simplify]: Simplify y into y 2.847 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.847 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.847 * [backup-simplify]: Simplify (+ 1 0) into 1 2.847 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.847 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (* 1 1) into 1 2.848 * [backup-simplify]: Simplify (/ 1 1) into 1 2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.848 * [taylor]: Taking taylor expansion of y in x 2.848 * [backup-simplify]: Simplify y into y 2.848 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.848 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.849 * [backup-simplify]: Simplify (+ 1 0) into 1 2.849 * [backup-simplify]: Simplify (* 1 1) into 1 2.849 * [taylor]: Taking taylor expansion of 1 in y 2.849 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [taylor]: Taking taylor expansion of 0 in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.853 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.854 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* (- (/ 1 (pow y 2))) 1))) into (- (* 2 (/ 1 (pow y 2)))) 2.854 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.854 * [taylor]: Taking taylor expansion of 2 in y 2.854 * [backup-simplify]: Simplify 2 into 2 2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.854 * [taylor]: Taking taylor expansion of y in y 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.855 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.857 * [backup-simplify]: Simplify (- 0) into 0 2.858 * [backup-simplify]: Simplify (+ 0 0) into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* (- (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 2.859 * [taylor]: Taking taylor expansion of 0 in y 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.863 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.863 * [taylor]: Taking taylor expansion of y in y 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.865 * [backup-simplify]: Simplify (/ 1 1) into 1 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 2 1) into 2 2.865 * [backup-simplify]: Simplify (- 2) into -2 2.865 * [backup-simplify]: Simplify -2 into -2 2.865 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (+ (* -2 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 4)))) into (- (+ (pow y 4) (pow x 4)) (* 2 (* (pow x 2) (pow y 2)))) 2.867 * [backup-simplify]: Simplify (* (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 2.867 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in (x y) around 0 2.867 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 2.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.867 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.867 * [taylor]: Taking taylor expansion of x in y 2.867 * [backup-simplify]: Simplify x into x 2.867 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.867 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.867 * [taylor]: Taking taylor expansion of y in y 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (/ 1 1) into 1 2.868 * [backup-simplify]: Simplify (- 1) into -1 2.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.868 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.868 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.868 * [taylor]: Taking taylor expansion of x in x 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify (* 1 1) into 1 2.869 * [backup-simplify]: Simplify (/ 1 1) into 1 2.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.869 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.869 * [taylor]: Taking taylor expansion of y in x 2.869 * [backup-simplify]: Simplify y into y 2.869 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.869 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.870 * [backup-simplify]: Simplify (+ 1 0) into 1 2.870 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 2.870 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.870 * [taylor]: Taking taylor expansion of x in x 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (/ 1 1) into 1 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.871 * [taylor]: Taking taylor expansion of y in x 2.871 * [backup-simplify]: Simplify y into y 2.871 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.871 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.871 * [backup-simplify]: Simplify (+ 1 0) into 1 2.872 * [backup-simplify]: Simplify (* 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of 1 in y 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [taylor]: Taking taylor expansion of 0 in y 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.875 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.876 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* (- (/ 1 (pow y 2))) 1))) into (- (* 2 (/ 1 (pow y 2)))) 2.876 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.876 * [taylor]: Taking taylor expansion of 2 in y 2.876 * [backup-simplify]: Simplify 2 into 2 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.876 * [taylor]: Taking taylor expansion of y in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (* 1 1) into 1 2.877 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* (- (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 2.881 * [taylor]: Taking taylor expansion of 0 in y 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.884 * [backup-simplify]: Simplify (- 0) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.885 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.885 * [taylor]: Taking taylor expansion of y in y 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (* 2 1) into 2 2.887 * [backup-simplify]: Simplify (- 2) into -2 2.887 * [backup-simplify]: Simplify -2 into -2 2.887 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (+ (* -2 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 4)))) into (- (+ (pow y 4) (pow x 4)) (* 2 (* (pow x 2) (pow y 2)))) 2.888 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.888 * [backup-simplify]: Simplify (* (- x y) (- x y)) into (pow (- x y) 2) 2.888 * [approximate]: Taking taylor expansion of (pow (- x y) 2) in (x y) around 0 2.888 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in y 2.888 * [taylor]: Taking taylor expansion of (- x y) in y 2.888 * [taylor]: Taking taylor expansion of x in y 2.888 * [backup-simplify]: Simplify x into x 2.888 * [taylor]: Taking taylor expansion of y in y 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (- 0) into 0 2.889 * [backup-simplify]: Simplify (+ x 0) into x 2.889 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 2.889 * [taylor]: Taking taylor expansion of (- x y) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [backup-simplify]: Simplify y into y 2.889 * [backup-simplify]: Simplify (- y) into (- y) 2.889 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.889 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 2.889 * [taylor]: Taking taylor expansion of (- x y) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [backup-simplify]: Simplify y into y 2.889 * [backup-simplify]: Simplify (- y) into (- y) 2.889 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.889 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 2.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.890 * [taylor]: Taking taylor expansion of y in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ 1 0) into 1 2.890 * [backup-simplify]: Simplify (+ (* (- y) 1) (* 1 (- y))) into (- (* 2 y)) 2.890 * [taylor]: Taking taylor expansion of (- (* 2 y)) in y 2.890 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.890 * [taylor]: Taking taylor expansion of 2 in y 2.890 * [backup-simplify]: Simplify 2 into 2 2.890 * [taylor]: Taking taylor expansion of y in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 2 0) into 0 2.891 * [backup-simplify]: Simplify (- 0) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (- 0) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify (+ (* (- y) 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.892 * [taylor]: Taking taylor expansion of 1 in y 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.893 * [backup-simplify]: Simplify (- 2) into -2 2.893 * [backup-simplify]: Simplify -2 into -2 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* -2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (- (+ (pow y 2) (pow x 2)) (* 2 (* x y))) 2.894 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (pow (- (/ 1 x) (/ 1 y)) 2) 2.894 * [approximate]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in (x y) around 0 2.894 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in y 2.894 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.894 * [taylor]: Taking taylor expansion of x in y 2.894 * [backup-simplify]: Simplify x into x 2.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.895 * [taylor]: Taking taylor expansion of y in y 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [backup-simplify]: Simplify (- 1) into -1 2.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.896 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 2.896 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.896 * [taylor]: Taking taylor expansion of y in x 2.896 * [backup-simplify]: Simplify y into y 2.896 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 2.897 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.897 * [taylor]: Taking taylor expansion of x in x 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.897 * [taylor]: Taking taylor expansion of y in x 2.897 * [backup-simplify]: Simplify y into y 2.897 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.898 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [taylor]: Taking taylor expansion of 1 in y 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.899 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.899 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 2.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 2.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.899 * [taylor]: Taking taylor expansion of 2 in y 2.899 * [backup-simplify]: Simplify 2 into 2 2.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.899 * [taylor]: Taking taylor expansion of y in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.901 * [backup-simplify]: Simplify (- 0) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* 0 1))) into (/ 1 (pow y 2)) 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.902 * [taylor]: Taking taylor expansion of y in y 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (* 2 1) into 2 2.903 * [backup-simplify]: Simplify (- 2) into -2 2.903 * [backup-simplify]: Simplify -2 into -2 2.903 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* -2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (- (+ (pow y 2) (pow x 2)) (* 2 (* x y))) 2.904 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (pow (- (/ 1 y) (/ 1 x)) 2) 2.904 * [approximate]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in (x y) around 0 2.904 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in y 2.904 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.904 * [taylor]: Taking taylor expansion of y in y 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (/ 1 1) into 1 2.905 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.905 * [taylor]: Taking taylor expansion of x in y 2.905 * [backup-simplify]: Simplify x into x 2.905 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.905 * [backup-simplify]: Simplify (+ 1 0) into 1 2.905 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 2.905 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.905 * [taylor]: Taking taylor expansion of y in x 2.905 * [backup-simplify]: Simplify y into y 2.906 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [backup-simplify]: Simplify (- 1) into -1 2.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.907 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 2.907 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.907 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [backup-simplify]: Simplify y into y 2.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [backup-simplify]: Simplify (- 1) into -1 2.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.909 * [backup-simplify]: Simplify (* -1 -1) into 1 2.909 * [taylor]: Taking taylor expansion of 1 in y 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.910 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) -1)) into (- (* 2 (/ 1 y))) 2.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 2.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.910 * [taylor]: Taking taylor expansion of 2 in y 2.910 * [backup-simplify]: Simplify 2 into 2 2.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.910 * [taylor]: Taking taylor expansion of y in y 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.913 * [taylor]: Taking taylor expansion of y in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (* 2 1) into 2 2.914 * [backup-simplify]: Simplify (- 2) into -2 2.914 * [backup-simplify]: Simplify -2 into -2 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (- (+ (pow y 2) (pow x 2)) (* 2 (* x y))) 2.915 * * * [progress]: simplifying candidates 2.917 * [simplify]: Simplifying: (- (+ (log (- (* x x) (* y y))) (log (- (* x x) (* y y)))) (+ (log (- x y)) (log (- x y)))) (- (+ (log (- (* x x) (* y y))) (log (- (* x x) (* y y)))) (log (* (- x y) (- x y)))) (- (log (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (+ (log (- x y)) (log (- x y)))) (- (log (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (log (* (- x y) (- x y)))) (log (/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))) (exp (/ (* (- (* x x) (* y y)) (- (* 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 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 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 y)) (- x y)))) (/ (* (* (* (- (* x x) (* y y)) (- (* x x) 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y))) (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* 1 1) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (+ x y) (+ x y)) (* (- x y) (- x y)) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* 2 1) (* (- (* x x) (* y y)) (* x x)) (* (- (* x x) (* y y)) (- (* y y))) (* (- (* x x) (* y y)) (* x x)) (* (- (* x x) (* y y)) (- (* y y))) (* (* x x) (- (* x x) (* y y))) (* (- (* y y)) (- (* x x) (* y y))) (* (* x x) (- (* x x) (* y y))) (* (- (* y y)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (- (* x x) (* y y)) (sqrt (- (* x x) (* y y)))) (* (- (* x x) (* y y)) 1) (* (- (* x x) (* y y)) (+ x y)) (* (cbrt (- (* x x) (* 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(* 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)) (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt (- x y)) (cbrt (- x y))) (* (sqrt (- x y)) (sqrt (- x y))) (* (sqrt (- x y)) (sqrt (- x y))) (* 1 1) (* (- x y) (- x y)) (* 1 1) (* (- x y) (- x y)) (* (+ (sqrt x) (sqrt y)) (+ (sqrt x) (sqrt y))) (* (- (sqrt x) (sqrt y)) (- (sqrt x) (sqrt y))) (* 1 1) (* (- x y) (- x y)) (* 1 1) (* (- x y) (- x y)) (* (sqrt (- x y)) (sqrt (- x y))) (* (sqrt (- x y)) (sqrt (- x y))) (* 2 1) (* (- x y) x) (* (- x y) (- y)) (* (- x y) x) (* (- x y) (- y)) (* x (- x y)) (* (- y) (- x y)) (* x (- x y)) (* (- y) (- x y)) (* (- x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (- x y) (sqrt (- x y))) (* (- x y) 1) (* (- x y) (+ (sqrt x) (sqrt y))) (* (- x y) 1) (* (cbrt (- x y)) (- x y)) (* (sqrt (- x y)) (- x y)) (* (- x y) (- x y)) (* (- (sqrt x) (sqrt y)) (- x y)) (* (- x y) (- x y)) (* (- x y) (- (pow x 3) (pow y 3))) (* (- x y) (- (* x x) (* y y))) (* (- (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (- (+ (pow y 4) (pow x 4)) (* 2 (* (pow x 2) (pow y 2)))) (- (+ (pow y 4) (pow x 4)) (* 2 (* (pow x 2) (pow y 2)))) (- (+ (pow y 4) (pow x 4)) (* 2 (* (pow x 2) (pow y 2)))) (- (+ (pow y 2) (pow x 2)) (* 2 (* x y))) (- (+ (pow y 2) (pow x 2)) (* 2 (* x y))) (- (+ (pow y 2) (pow x 2)) (* 2 (* x y))) 2.921 * * [simplify]: iteration 0: 166 enodes 2.987 * * [simplify]: iteration 1: 604 enodes 3.504 * * [simplify]: iteration 2: 3550 enodes 4.723 * * [simplify]: iteration complete: 5007 enodes 4.723 * * [simplify]: Extracting #0: cost 74 inf + 0 4.727 * * [simplify]: Extracting #1: cost 953 inf + 2 4.741 * * [simplify]: Extracting #2: cost 1766 inf + 497 4.756 * * [simplify]: Extracting #3: cost 1805 inf + 17797 4.805 * * [simplify]: Extracting #4: cost 857 inf + 209721 4.920 * * [simplify]: Extracting #5: cost 135 inf + 407491 5.046 * * [simplify]: Extracting #6: cost 5 inf + 439414 5.159 * * [simplify]: Extracting #7: cost 0 inf + 437959 5.287 * * [simplify]: Extracting #8: cost 0 inf + 437919 5.408 * [simplify]: Simplified to: (+ (log (/ (+ x y) (/ (- x y) (- x y)))) (log (/ (+ x y) (/ (- x y) (- x y))))) (+ (log (/ (+ x y) (/ (- x y) (- x y)))) (log (/ (+ x y) (/ (- x y) (- x y))))) (+ (log (/ (+ x y) (/ (- x y) (- x y)))) (log (/ (+ x y) (/ (- x y) (- x y))))) (+ (log (/ (+ x y) (/ (- x y) (- x y)))) (log (/ (+ x y) (/ (- x y) (- x y))))) (+ (log (/ (+ x y) (/ (- x y) (- x y)))) (log (/ (+ x y) (/ (- x y) (- x y))))) (exp (* (/ (* (+ x y) (- x y)) (- x y)) (/ (* (+ x y) (- x y)) (- x y)))) (* (* (/ (* (+ x y) (- x y)) (- x y)) (/ (* (+ x y) (- x y)) (- x y))) (* (* (/ (* (+ x y) (- x y)) (- x y)) (/ (* (+ x y) (- x y)) (- x y))) (* (/ (* (+ x y) (- x y)) (- x y)) (/ (* (+ x y) (- x 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y)))) (* (- x y) (* (+ x y) (- x y))) (+ (* x x) (+ (* (* 2 y) x) (* y y))) (+ (* x x) (+ (* (* 2 y) x) (* y y))) (+ (* x x) (+ (* (* 2 y) x) (* y y))) (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* 2 (* (* x y) (* x y))))) (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* 2 (* (* x y) (* x y))))) (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* 2 (* (* x y) (* x y))))) (+ (- (* x x) (* (* 2 y) x)) (* y y)) (+ (- (* x x) (* (* 2 y) x)) (* y y)) (+ (- (* x x) (* (* 2 y) x)) (* y y)) 5.423 * * * [progress]: adding candidates to table 5.856 * [progress]: [Phase 3 of 3] Extracting. 5.856 * * [regime]: Finding splitpoints for: (# #) 5.858 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 5.858 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 5.885 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 5.930 * * * * [regimes]: Trying to branch on y from (# #) 5.958 * * * * [regimes]: Trying to branch on x from (# #) 6.000 * * * [regime]: Found split indices: #